Write the equation of the parabola in vertex form. y = –x2 + 3

Answer:

1 1/5

Step-by-step explanation:

average book per week = the amount of books read / the amount of weeks

= 15/10 = 1 1/2

Answer:

161.98

Step-by-step explanation:

do 159.99 - 15 which is 144.99. then add 16.99 + 149.99. which is 161.98

The area of the segment is 5.76 in²

A segment of a chord refers to a portion of a chord that lies between two points on the circumference of a circle. In other words, a chord is a line segment that connects two points on a circle, and a segment of a chord is any part of that chord that lies between the two endpoints.

For example, if we have a circle with points A and B on its circumference, and a chord that connects these two points, then any portion of the chord that lies between A and B is a segment of the chord.

How to solve

If a chord is 8`` long then α = 60° = π/3 ( the angle between the line segments connecting the ends of the chord and the center of the circle).

A = 1/2 r² ( α - sin α ) = 1/2 · 8² ( π/3 - sin π/3 ) =

= 1/2 · 64 ( 1.046 - 0.866 ) = 5.76 in²

Answer: The area of a segment is 5.76 in²

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Answer:

10.3

Step-by-step explanation:

Answer:

10.4 in.

Step-by-step explanation:

To find the radius of a circle from the circumference, divide the circumference by pi, then, divide the quotient by 2.

65 is the circumference of Joe's bicycle.

65 ÷ 3.14 = 20.7006369427

20.7006369427 ÷ 2 = 10.3503184714

10.3503184714 ≈ 10.4

Therefore, 10.4 is the radius of the wheel rounded to the nearest tenth.

that ice cream at -3 degrees C is cooler than ice cream at 1 degrees C:

Answer:

x = -4, 7

Step-by-step explanation:

We are given the graph of the function f(x), and we want to find the values that make the statement f(x) = 0.

f(x) = 0 means that there are certain values that make the value of f(x) (which can be considered as y) equal to 0.

We can look to the graph to help us - we should look at where y is equal to 0, which is the x-axis.

On the x-axis, we can see that the function passes through both -4 and 7 (the graph goes up by 1) on that line.

This means that when either -4 or 7 are substituted into the function (i.e. when they are equal to x), they will make the function equal 0.

So,  it means that x = -4, 7.

Answer:

it's electromagnetic radiatum

Answer:

Step-by-step explanation:

Given two points, the equation for the line can be found by starting with determining the slope. Then the point-slope form can be used to find the equation. That form can be rearranged to give the slope-intercept form (or any other form you may desire.)

The slope formula is ...

  m = (y2 -y1)/(x2 -x1)

  m = (3 -(-4))/(-1 -7) = 7/-8 = -7/8

Then the point-slope form using the first point is ...

  y -k = m(x -h) . . . . line with slope m through point (h, k)

  y +4 = -7/8(x -7) . . . . . line with slope -7/8 through (7, -4)

__

Eliminating parentheses, and subtracting 4 gives the slope-intercept equation:

  y +4 = -7/8x +49/8 . . . eliminate parentheses

  y = -7/8x +17/8 . . . . . subtract 4; slope-intercept equation

_____

The attached graph shows both forms of the equation draw the same line.

Answer:

170, 171, 172

Step-by-step explanation:

x + x + 1 + x + 2 = 513

3x + 3 = 513

3x = 510

x = 170

x + 1 = 171

x + 2 = 172

Answer:

When x = -1/4 and when x = -15/4

Step-by-step explanation:

The x intercept will be when f(x)=0, so

0 = 4|x+2| -7

7 = 4|x+2|

|x+2|=7/4 here you have to cases

case 1

x+2=7/4

x=7/4-2

x=-1/4 = -0.25

case 2

x+2 = -7/4

x = -2-7/4

x = -15/4 = -3.75

Answer:

Speed of plane in still air is 270 mph

Wind speed is 30 mph

Step-by-step explanation:

Check the picture.

The speed of the plane in still air is 270 mph and the speed of the wind will be 30 mph.

The distance traveled by an object is the product of the speed of an object and the time taken.

Distance = speed x time

An airplane travels 1200 miles in 4 hours with the wind. The same trip takes 5 hours against the wind.

Let the speed of the plane be x

The speed of wind be y

Distance covered with the wind = (x + y)t

                  1200   =  (x + y)4

                   (x + y) = 1200/4

                     (x + y)= 300       .....(a)

Distance covered against the wind = (x - y)t

                                              1200   =  (x - y)5

                                               (x - y) = 1200/5

                                                 (x - y) = 240         .......(b)

By solving both the equation

(x + y)= 300    

(x - y) = 240    

Therefore the values will be x= 270mph and  y = 30 mph

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Answer:

136000 cm

Step-by-step explanation:

I think it's helps you

The expression is simplified to 25.3. Option D

BODMAS is simply a mathematical acronym which represents;

Note that when carrying out mathematical operations, the order must be followed for a correct solution.

We have to simply the expression;

29.5 - 2.1 × (4.7 - 2.7)

solve the bracket

29.5 - 2.1 × ( 2. 0)

Multiply the bracket

29. 5 - 2.1(2)

29. 5 - 4. 2

25. 3

Thus, the expression is simplified to 25.3. Option D

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The theme is the underlying message, lesson, or central idea conveyed by the narrative or story.

Both a narrative and a story share several common elements that contribute to their structure and presentation. These elements include characters, setting, plot, conflict, and theme.

Characters are essential components of both narratives and stories. They are the individuals or entities that drive the events and experiences within the narrative or story. The setting is the time and place in which the events occur and provide the context for the story.

The plot refers to the sequence of events that unfold and create a structure for the narrative or story. Conflict represents the central problem or challenge faced by the characters and is often a driving force behind the plot's progression.

These shared elements create a framework for both narratives and stories, enabling the development and communication of experiences, ideas, and emotions to the audience. They contribute to the engagement, coherence, and impact of the narrative or story, regardless of the medium or genre in which they are presented.

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Answer:

CANNOT SEE CLEARLY

Step-by-step explanation:

The measure of side length x in the right triangle is approximately 6.03 cm.

The figure in the image is a right triangle having one of its interior angle at 90 degrees.

From the figure:

Angle θ = 37 degrees

Adjacent to angle θ = 8 cm

Opposite to angle θ = x

To solve for the missing side length x, we use the trigonometric ratio.

Note that: tangent = opposite / adjacent

Hence:

tan( θ ) = opposite / adjacent

Plug in the given values and solve for x:

tan( 37 ) = x / 8

x = tan( 37 ) × 8

x = 6.03 cm

Therefore, the value of x is 6.03 cm.

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Answer:

Z = 22.5, Y = 81, X = 26.7

Step-by-step explanation:

Using the lengths you do know compare them to the copy, the only two lengths available that are for the same side length are 33 and 22, divide them together and you get 1.5. Thats the scale factor. Everything else you can figure out by multiplying or dividing by this scale factor.

\(Z = (15)(1.5) = 22.5\\Y = (54)(1.5) = 81\\X = (40)/(1.5) = 26.7\)

Answer:

\(Model = 6.05ft\)

Step-by-step explanation:

Given

\(Space\ Needle = 605ft\)

\(Scale\ Model = \frac{1}{100}\)

Required

Determine the height of the model.

To do this, we simply multiply the scale model by the height of the space needle.

\(Model = Scale\ Model * Space\ Needle\)

\(Model = \frac{1}{100} * 605ft\)

\(Model = \frac{605ft}{100}\)

\(Model = 6.05ft\)

Hence, the height of the model is 6.05ft

The missing values in the quantitative reasoning given are : -2, 13 and 9

Given the rule :

We can deduce that :

For the left circle :

circle = -6 - (-4) = -6 + 4 = -2

For the right circle :

circle = 11 - (-2) = 11 + 2 = 13

For the left square :

square = 13 + (-4)

square = 13 -4 = 9

Therefore, the missing values are : -2, 13 and 9

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The amount of money she started with is $5750

The given parameters are:

Interest = $115

Rate = 3%

Time = 8 months

The amount she start with (P) is calculated using:

P = I/(RT/12)

This gives

P = 115/(3% * 8/12)

Evaluate the product

P = 115/(0.02)

Divide

P = 5750

Hence, the amount of money she started with is $5750

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Answer:

7.9 + x because all the others are equal to.each other

Answer:

x= - 3

Step-by-step explanation:

Answer:

The number of adults tickets sold equals 52.

Step-by-step explanation:

First, we need to establish the system of equations:

x= number of adults tickets sold

y= number of kids tickets sold

10x + 6y= 928

x + y=120

Now, we isolate x in one equation and change it in the other to obtain its value:

x= 120 - y

10(120 - y) + 6y = 928

1,200 - 10y + 6y = 928

272 = 4y

68 = y

x= 120 - 68= 52

Answer:

B. y=-x – 7

Step-by-step explanation:

Answer:

150

Step-by-step explanation:

If the length of the living room is 10, and the width is 15, then we can use the equation:

10 × 15 = 150

Therefore, the length × width of the living room is 150.

Answer:

20 plus 20 is equla to 5000

Answer:

Step-by-step explanation:

a) Let's denote the number of coffees sold as 'x' and the number of cappuccinos sold as 'y'.

The equation that represents the given information is:

2.50x + 3.75y = 222.50

b) To solve the equation, we need to find the values of 'x' and 'y' that satisfy the equation.

Since we have two variables and only one equation, we cannot determine the exact values of 'x' and 'y' independently. However, we can find possible combinations that satisfy the equation.

Let's proceed by assuming values for one of the variables and solving for the other. For example, let's assume 'x' is 40 (number of coffees):

2.50(40) + 3.75y = 222.50

100 + 3.75y = 222.50

3.75y = 222.50 - 100

3.75y = 122.50

y = 122.50 / 3.75

y ≈ 32.67

In this case, assuming 40 coffees were sold, we get approximately 32.67 cappuccinos.

We can also assume different values for 'x' and solve for 'y' to find other possible combinations. However, keep in mind that the number of drinks sold should be a whole number since it cannot be fractional.

Therefore, one possible combination could be around 40 coffees and 33 cappuccinos sold.

Answer:

Step-by-step explanation:

Answer:

escapingdatprison445