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Answer:

{-1, 4}

Step-by-step explanation:

In the given f(x) = -1/2x^2 + 3/2x - 2

set f(x) = 0 and then multiply all the numeric terms by -2 to remove the fractions:

f(x) = -1/2x^2 + 3/2x - 2 = 0  =>  1x^2 - 3x - 4 = 0  

This factors into (x - 4)(x + 1) = 0, whose roots are {-1, 4}.  These are the zeros.

Approximately [tex]130.1[/tex] cm more centimeters of wood will need to complete the support.

Right triangle is a triangle in which one angle is of [tex]90^0[/tex] .

We have,

Hypotenuse [tex]=92[/tex] cm

Let,

Perpendicular [tex]= x[/tex] cm

Base [tex]=x[/tex] cm

So,

Using the Pythagoras theorem,

[tex]H^2=P^2+B^2[/tex]

So,

[tex]92^2=x^2+x^2[/tex]

[tex]92^2=2x^2[/tex]

⇒

[tex]2x^2 = 8464[/tex]

[tex]x^2 = 4232[/tex]

⇒[tex]x=65.05[/tex]

So,

Perpendicular [tex]= 65.05[/tex] cm

Base [tex]=65.05[/tex] cm

So,

The required wood to complete support [tex]=65.05+65.05=130.1[/tex] cm

Hence, we can say that approximately [tex]130.1[/tex] cm more centimeters of wood will need to complete the support.

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if the y-intercept is (0,5), you have:

y = (3/4)x + 5

To graph a line with a slope of 3/4, you can use the slope-intercept form of a linear equation, y = mx + b, where m is the slope and b is the y-intercept.

Since the slope is 3/4, the equation of the line is y = (3/4)x + b.

To find the y-intercept, you can plug in the coordinates (0,b) into the equation. So if the y-intercept is (0,5), you have:

y = (3/4)x + 5

You can then plot the point (0,5) on the graph, and use the slope of 3/4 to find the next point by going up 3 and right 4.

Another way is to pick two points on the line and plot them, you can use the slope formula (rise over run) to find the next point on the line.

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Answer:

Step-by-step explanation:

the answer is 152

Answer: standard form of (6.31×10⁵ ) + (2.6×10⁴) is 65.7 × 10⁴.

What is a simplification of an expression?

Usually, simplification involves proceeding with the pending operations in the expression.

Simplification usually involves making the expression simple and easy to use later.

As given,

(6.31×10⁵ ) + (2.6×10⁴) = ( 6.31× 10⁴ ×10 ) + (2.6 × 10⁴ )

                                   =  ( 6.31 × 10 + 2.6 )

                                   =  ( 63.1 + 2.6 )

                                   =  ( 65.7 )

                                   = 65.7 × 10⁴

Hence, the standard form of ( 6.31× 10⁵) + (2.6 × 10⁴) = 65.7 × 10⁴.

[tex](6.31\times 10^{5})+(2.6\times 10^{4})\implies 6\underline{31000}+2\underline{6000} \implies \text{\LARGE 657000}[/tex]

The option A "He should use the median because there is an outlier that affects the mean." is correct.

It is clear from the data that option E's house is much more expensive than those in the other options. A $9,00,000 price is therefore an outlier in this set of data.

In symmetrically distributed data, an inference is made using the mean. Due to the inclusion of an outlier, the data is not symmetrical. As a result, the mean won't accurately depict the data's centre. As a result, we shall refrain from drawing conclusions about the pricing of the residences using the mean.

Therefore, since the median is unaffected by outliers, we shall use it.

Therefore, since there is an outlier that influences the mean, we will utilise the median. The answer is (A).

Your sincere criticism is crucial for better outcomes.

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Answer:

Equation of a circle:

Substitute the given values to get the equation of this circle:

Answer:

Solution given:

Centre(h,k)=(-5,-9)

radius (r)=7

we have

Equation of a circle is;

(x-h)²+(y-k)²=r²

Substituting value;

(x+5)²+(y+9)²=7²

(x+5)²+(y-9)²=49 is a required equation of a circle.

Answer: a

Step-by-step explanation:

Therefore, the answer to the time dilemma is 7 am on Friday, which is the right choice.

In mathematics, time is described as a continuously and continuous series of events that take place in chronologically from the past through to the present and into the future. The duration of events, the gaps between them, or even the sequence of occurrences can all be quantified, measured, or compared using time.

Here,

If it is 10 a.m. on Friday in Miami, Florida's Eastern time zone, it is 7 a.m. on Friday in Los Angeles,

California's (120 o W) pacific time region

since Miami, Florida's Eastern time zone is three hours early of Los Angeles.

Thus,

the correct response is 7 am on Friday.

Therefore, the answer to the time dilemma is 7 am on Friday, which is the right choice.

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Answer: 42 yd

Step-by-step explanation: For the perimeter you add up all sides of the figure.

9+9+12+12=42 yd

Answer: (x−7)2+y2=100. Explanation: the standard form of the equation of a circle is.

Step-by-step explanation:

Exact length of border required by Kristin is calculated to be 9.42 ft.

This question can be solved using the concept of circumference of a circle.

The circumference of a circle or ellipse in geometry is its perimeter. That is, if the circle were expanded out and straightened out to a line segment, the circumference would be the length of the arc. The curve/arc length around any closed figure is more often referred to as the perimeter. The term "circumference" can also refer to the circle's actual location, which corresponds to a disk's edge. A sphere's circumference is equal to the length of any one of its great circles.

Circumference of a circle is given by 2πr.(r is the radius of the circle)

In the given question,

diameter= 3ft

radius= half times of diameter

radius= 1.5 ft.

Circumference= 2πr

= 2×3.14×1.5

=9.42 ft

Kristin will require 9.42 ft of border around the edge of the table.

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Answer: Any of the following angles are not congruent to angle 5.

The only exception being that if angle 5 is 90 degrees, then so are the remaining four angles shown above (in fact, all 8 angles are right angles).

========================================================

Explanation:

Angles 2 and 5 are supplementary since line p is parallel to line r. This means angle 2 and angle 5 add to 180 degrees. The two angles are only congruent if both are right angles (aka 90 degree angles); otherwise, they are not congruent angles.

Angle 2 = angle 4 because they are vertical angles. So because these two angles are congruent, and angle 2 does not have the same measure as angle 5, this consequently leads to angle 4 also not being the same measure as angle 5 (unless both are right angles).

Angle 2 = angle 8 because they are alternate interior angles. Following the same logic path as the last paragraph, we see that angles 8 and angle 5 aren't the same measure. Or we could note that angle 5 and angle 8 form a straight angle, so they must add to 180 degrees. The two angles are only congruent if they were 90 degrees each, or otherwise not congruent at all.

Similar logic can also show that angle 6 is not congruent to angle 5.

---------------------------

An alternative path is to find all the angles that are always congruent to angle 5 and they are...

And everything else is not congruent to angle 5.

Answer:

El vendedor ambulante debe vender 80 camisetas para obtener una ganancia de 400 €.

Step-by-step explanation:

La ganancia que obtiene el vendedor es el resultado de restar el costo total menos las ventas totales. El costo total es igual al costo por camiseta por el número de camisetas y las ventas totales son iguales al precio de venta por el número de camisetas vendidas, lo que se puede expresar de la siguiente forma:

x=11y-6y

x=5y, donde:

x es la ganancia

y es el número de camisetas

Dado que se quiere obtener una ganancia de 400, este valor sería x, y debes despejar y:

400=5y

y=400/5

y=80

De acuerdo a esto, la respuesta es que el vendedor ambulante debe vender 80 camisetas para obtener una ganancia de 400 €.

Answer:

the answer is. The answer is

57

Step-by-step explanation:

Answer:

Scale factor 2

Step-by-step explanation:

I compared the length of each side.

TS was 6 units long, while HG was 3

6/3 = 2

You can do the same with other sides, since the shapes are congruent.

RS is 4 units, and FG is 2

4/2 = 2

Answer:

Oh so this is the other thing

Step-by-step explanation:

Anyways the scale factor is two

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The remaining miles are 660 miles.

This month, Diaz drives 28 miles each day using the car allotted to him by his company.

But the company allows him to drive up to 1500 miles each month by his car.

To calculate the remaining miles that Diaz has not traveled this month, we have to use the formula m = 1500 - 28d, where d is the number of days in that particular month.

A month general consists of 30 days.

So, this month Diaz has traveled 28×30 miles = 840 miles ( using multiplication)

Therefore, the remaining miles(m) that Diaz has not traveled this month comes to 1500 - 840 = 660 miles.

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The complete question is:

Diaz has a company car that allows him to drive up to 1,500 miles each month. He averages 28 miles each day. The remaining miles for this month can be calculated using the formula m = 1500 - 28d where m is the remaining miles and d is the number of days driven this month. What are the remaining miles?

In a right triangle with sides a and b and c where c is the hypotenuse, then the cosine of angle A is the ratio of Adjacent side to the angle A and Hypotenuse of triangle.

In the given question, in a right triangle with sides a and b and c where c is the hypotenuse, then we have to find the cosine of angle A.

A right triangle is a triangle with one of the internal angles at 90 degrees. The hypotenuse, the side of the right triangle that is opposite the right angle and is also its longest side, and the height and base are the two arms of the right angle.

The cosine of angle A is the ratio of Adjacent side to the angle A and Hypotenuse of triangle.

Cosine of angle A = Adjacent side to the angle A/Side adjacent to the angle A

Cosine of angle A = b/c

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In geometry, a line segment is bordered by two distinct points on a line. Or we can say a line segment is a portion of the line that connects two points.

The length of the line segment does not differ and the distance between them does not change. The units in which a line can be estimated are centimetres, millimetres, meters, inches, or feet.

A closed-line segment has both endpoints, whereas an open-line segment has two endpoints. A line segment that has only one endpoint is known as a half-open line segment.

A line segment with two endpoints P and Q and is denoted by the bar symbol (—).

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Answer:

T=(I/p)/r

Step-by-step explanation:

I = Prt is the same thing as: I = P*r*t

We want the answer to be as:

T = ???

The only thing you need to do is the get T to one side.

1. [tex]I = P*r*t[/tex]

2. [tex]I/p=r*t[/tex]

3. [tex](I/p)/r=t[/tex]

4. [tex]t=(I/p)/r[/tex]

a=2 b=15 c=-9

[tex]( - b + - \sqrt{b ^{2} - 4ac } ) \div 2a[/tex]

+ =0.5584

- =-8.0584

1.14 is the answer just do 19%=1.14

Using the concept of fraction, the percentage edited on the video is 62.5 percent.

What is Percentage

Percentage is a standard mathematical concept used to express a portion of a whole number in terms of a hundred. It is denoted by the symbol “%” and is often expressed as a fraction or a decimal. For example, 25% can be expressed as 0.25 or 1/4.

In this problem, Thorton has done a 2.5 hours work. The percentage he has edited can be calculated using fraction or ratio as;

percentage edited = (2.5 / 4) × 100

Percentage = 0.625 × 100

Percentage = 62.5 %

From the above, Thorton has edited 62,5 percent of the video for his school project.

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Answer: (-1,-1)

3rd option

Step-by-step explanation:

Answer:

(4,14) (8,28))

Step-by-step explanation:

3.5(4) = 14

3.5(8) = 28

Answer:

The correct translation fo the sentences for each case is:

Step-by-step explanation:

In Spanish, the phrases regularly have the next order:

By this reason, in all of the phrases I put the adjective at the end, and the noun in the middle. By other side, you must pay attention that the adjective agree with the noun, how you can see in the answer, I show you how, when it's a masculine noun, finished in vowels as "o," the adjective finishes in a masculine form too ("o" in the exercises), by last, when the noun ends in a feminine form, the adjective finishes in a femenine form too (in the exercise you can see the noun and the adjective finishes in "a").

Correct options are: A. Zeros: -2 and 1

E. x-Intercepts: (-2, 0) and (1, 0)

What are zeros & x-intercepts of quadratic function?

The zero of the function is where the y-value is zero.

The x-intercept is where the graph crosses the x-axis.

The zeros of a quadratic function are the values of x for which the function equals zero. In other words, they are the solutions to the equation f(x) = 0. For the given quadratic function, the zeros

are -2 and 1.

The x-intercepts of a function are the points at which the function crosses the x-axis. In other words, they are the solutions to the equation f(x) = 0 when y = 0. For the given function, the x-intercepts are (-2, 0) and (1, 0) which are the points on the x-axis where the function crosses it.

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Answer:

5 hours

Step-by-step explanation:

Olivia needs to make 700 - 15 = <<700-15=685>>685 cupcakes.

So she needs to work for 685 / 137 = <<685/137=5>>5 hours

Answer:

The slope is 7!

Step-by-step explanation:

Answer:

The slope is 7

Step-by-step explanation:

Use the distributive property to distribute 7 to x and -7. 7(x-7) is the same as 7(x)+7(-7) which is 7x-49. Therefore, the equation will be y+4=7x-49. We want to isolate y so we have to subtract 4 from both sides. y=7x-53. The number with the x is the slope. Therefore, the slope is 7.

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