Question 2
2
o
Which expression is equivalent to 2x2 – 2 + š?
ОА 2(x - 1)?
2(x - 1)
2(x – 3)?
2(x - 1)?
B
с
D

Answer:

360

Step-by-step explanation:

Answer:

The original number is -22

Step-by-step explanation:

We'll label our mystery number x.

2x + 36 = 4x/11
Multiply both sides by 11
4x = 22x + 396
Isolate x to one side (for this I subtract 4x from both sides, but you can also subtract 22x if you'd like)
0 = 18x + 396
Isolate x pt 2
18x = -396
Divide both sides by 18 to find your answer!
x = -22

Plug in to confirm

-44 + 36 = -88/11S
8 = 8

Answer:

One person will have 6100 and the other will have 4400.

Step-by-step explanation:

10500/2 = 5250

1700/2 = 850

5250+850 = 6100

10500-6100 = 4400

Check Answer:

6100+4400 = 10500

6100-4400 = 1700

the approximate value of 2√5 using perfect squares, is 2√5 ≈ 4 1/2 or 4.5 as a decimal.

What is the perfect square?

A perfect square is an integer that is the square of another integer. In other words, a perfect square is the product of an integer multiplied by itself.

I will choose 2√5 from Category A.

To approximate the value of 2√5 using perfect squares, we need to find the perfect square closest to 5.

The perfect squares closest to 5 are 4 and 9. Since 5 is closer to 4, we can write:

2√5 ≈ 2√4.√1

We can simplify √4 to 2, giving us:

2√5 ≈ 2.2√1.√5

Now, we can simplify √1 to 1:

2√5 ≈ 4√5/2

Therefore, the approximate value of 2√5 using perfect squares, is 2√5 ≈ 4 1/2 or 4.5 as a decimal.

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The equations that can be used to determine the length of the room are:

y(y + 5) = 750

y²– 5y = 750

(y - 30) (y + 25) = 0

A rectangle is a 2-dimensional object that has four sides and four right angles. A rectangle has two diagonals of equal length which bisect each other at right angles.

Area of a rectangle = length x width

750 = y x (y - 5)

750 = y² - 5y

y² - 5y - 750 = 0

The factors of -750y² that add up to -5y are 25y and -30

(y² + 25y)(-30y - 750) = 0

y(y + 25) = 0

-30(y + 25) = 0

(y - 30) (y + 25) = 0.

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If we write a quadratic in vertex form:

\(y=a(x-h)^2+k\)

Then:

\(\bold{a}\)   \(\longrightarrow\)    is the coefficient of \(x^2\)

\(\bold{h}\)   \(\longrightarrow\)    is the axis of symmetry.

\(\bold{k}\)   \(\longrightarrow\)    is the max/min value of the function.

Also:

If \(a > 0\) then the parabola will be of the form \(\cup\) and will have a minimum value.

\(a < 0\) then the parabola will be of the form \(\cap\) and will have a minimum value.

For the given functions:

\(a < 0\)

\(f(x)=-(x-1)^2+5\)        this has a maximum value of \(\bold{5}\)

\(a > 0\)

\(f(x)=(x+2)^2-3\)           this has a minimum value of \(\bold{-3}\)

Answer:

1.029 is greater than 1.0275

Step-by-step explanation:

Answer:

1.029

Step-by-step explanation:

What is greater 1.0275 or 1.029

.027 < .029

So, 1.029 is greater.

Answer:

14.9336

Step-by-step explanation:

Given that :

Mean = 10

Standard deviation = 2.8

To simulate a pizza delivery time with a random z - value of 0.961

Using the Z - probability calculator :

To find the x value corresponding to Z = 0.961

P(Z < x) ; P(Z < x) = 0.961 = 1.762

Simulated delivery time for the random number generated :

Mean + (Zscore * standard deviation)

10 + (1.762 * 2.8)

10 + 4.9336

= 14.9336

Answer:t

Step-by-step explanation:

3x + 4 = 13

3x = 9

x = 3

Option 3

Answer:

subtract 4 then divide by three

Step-by-step explanation:

Answer:

x = 2.4

Step-by-step explanation:

4x + 5 / x + 7
combine like terms

X + 4x = 5x

5 + 7= 12

12/ 5x

Divide

12 /5= 2.4

X= 2.4

The probability is 0.57

What is meant by probability?

Probability is a discipline of mathematics that deals with appropriate units of how probable an event is to occur or how likely a statement is to be true. The probability of an occurrence is a number ranging from zero and 1, where 0 denotes the event's feasibility and 1 represents certainty. The greater the likelihood of an occurrence, the more probable it will occur. Tossing a fair (unbiased) coin is a basic example. Because the coin is fair, the two possibilities ("heads" and "tails") are equally likely; the chance of "heads" equals the probability of "tails," and because no other outcomes are possible, the probability of either "heads" or "tails" is 1/2.

Probability of using the pool = 97/225 = 0.43

Probability that they do not use the swimming pool = 1 - 0.43 = 0.57

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The volume of the composite figure is

The volume is calculated by dividing the figure into simpler shapes. and adding the individual volumes

The simple shapes used here include

Volume of rectangle = length x width x depth

= 30 * 9 * 7

= 1890 cubic yd

Volume of trapezoid = 1/2 (sum of parallel lines) x height x depth

= 1/2 (30 + 19) x 10 x 9

= 2205 cubic  yd

Total volume

= 1890 cubic yd + 2205 cubic yd

=  4095 cubic yd

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Answer:

1929

Step-by-step explanation:

To evaluate the expression 9 + 8f5s when f=6 and s=8, we simply substitute those values into the expression in place of f and s:

9 + 8f5s = 9 + 8(6)5(8)

Using the order of operations (PEMDAS), we first multiply 6 and 8, then multiply the result by 5, and finally multiply the result by 8:

9 + 8f5s = 9 + 8(30)(8)

9 + 1920 = 1929

Therefore, when f=6 and s=8, the value of the expression 9 + 8f5s is 1929.

Answer:

Hope you can understand my handwriting though

Using the radius of the Ferris wheel and the angle between the two positions, the time spent on the ride when they're 28 meters above the ground is 12 minutes

The radius of the Ferris wheel is 30 / 2 = 15 meters.

The highest point on the Ferris wheel is 15 + 4 = 19 meters above the ground.

The time spent higher than 28 meters is the time spent between the 12 o'clock and 8 o'clock positions.

The angle between these two positions is 180 degrees.

The time spent at each position is 10 minutes / 360 degrees * 180 degrees = 6 minutes.

Therefore, the total time spent higher than 28 meters is 6 minutes * 2 = 12 minutes.

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Answer:

I believe her weight is 80kg

Step-by-step explanation:

Ceri normal weight is 50 Kg.

To determine the quantity or percentage of something in terms of 100, use the percentage formula. Per cent simply means one in a hundred. Using the percentage formula, a number between 0 and 1 can be expressed. A number that is expressed as a fraction of 100 is what it is. It is mostly used to compare and determine ratios and is represented by the symbol %.

Given:

Present Weight = 55 Kg, which is 10% higher than her normal weight.

let her normal weight be x.

So,  x+ 10% of x = 55

x+ 1/10 x = 55

11x /10 = 55

11x= 550

x= 50

Hence, Ceri normal weight is 50 Kg.

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Answer: v=u

Step-by-step explanation:

Answer:

v= -19

Step-by-step explanation:

Solve for  V  by simplifying both sides of the equation, then isolating the variable.

Answer:

-19

Step-by-step explanation:

+19 -19 = 0

Therefore,

V = -19

Subtract 19 from both sides 0 - 19 = -19,

-19 = V

Answer:

Step-by-step explanation:

Which expression has the same value as 9+24?

3(3+24)

9(1+24)

3(3+8)

3(9+8)

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

9 + 24 = 33

3(3+24) = 81

9(1+24) = 225

3(3+8) = 33

3(9+8) = 51

Answer:

3 rd answer is correct.

Step-by-step explanation:

First let us find the value of ( 9 + 24 ).

Let us solve

9 + 24 = 33

And now we have to find the expression which is equal to 33.

Let us see.

⇒ 3 ( 3 + 24)

   3 × 27

   81            ( NO)

⇒ 9 ( 1 + 24 )

   9 × 25

    225         ( NO )

⇒ 3 ( 3 + 8 )

   3 × 11

    33         (YES)

⇒ 3 ( 9 + 8 )

   3 × 17

   51                ( NO)

There fore, the 3rd expression ( 3 ( 3 + 8 ) ) is equal to the given expression ( 9 + 24 ).

Hope this helps you :-)

Let me know if you have any other questions :-)

The solved expression we get for 20% of 92, 45% of 76, 50% of 62, 60% of 92 and 12% of 98 is the numbers 18.4, 34.2,31,55.2 and 11.76.

Given that,

Finding the expression that can be utilised to find

20% of 92, 45% of 76, 50% of 62, 60% of 92 and 12% of 98.

From the Latin word "per centum," which means "by the hundred," the word "percentage" was borrowed. The denominator of percents is 100, making them fractions. In other words, it is the relationship between a part and a whole in which the value of the whole is consistently set to 100.

Take

20% of 92

Multiply 20%×92

=18.4

45% of 76

Multiply 45% ×76

=34.2

50% of 62

Multiply 50%×62

=31

60% of 92

Multiply 60%×92

=55.2

12% of 98

Multiply 12%×98

=11.76

Therefore,

The solved expression we get for 20% of 92, 45% of 76, 50% of 62, 60% of 92 and 12% of 98 is the numbers 18.4, 34.2,31,55.2 and 11.76.

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To find the value of x, we can set the two angle measures equal to each other and solve for x.

Given:

mZA = (4x - 2)°

mZB = (6x - 20)°

Setting them equal to each other:

4x - 2 = 6x - 20

Now, we can solve for x:

4x - 6x = -20 + 2

-2x = -18

Dividing both sides by -2:

x = -18 / -2

x = 9

Therefore, the value of x is 9.

Answer:

The answer is 9.

Step-by-step explanation:

We need to use the fact that the sum of the angles in a triangle is 180 degrees. Let A, B, and C be the three angles in the triangle. Then we have:

mZA + mZB + mZC = 180°

Substituting the given values, we get:

(4x - 2)° + (6x - 20)° + mZC = 180°

Simplifying the left side, we get:

10x - 22 + mZC = 180°

Next, we use the fact that angles opposite congruent sides of a triangle are congruent. Since we know that segment AC and segment BC are congruent, we have:

mZA = mZB

Substituting the given values and simplifying, we get

4x - 2 = 6x - 20

Solving for x, we get:

x = 9

Therefore, the value of x is 9.

Answer:

Please give brainliest

Step-by-step explanation:

c

Answer:

  A.  675 units²

Step-by-step explanation:

The formula for the surface area of a square pyramid is ...

  A = s(s +2h)

where s is the side length of the base, and h is the slant height of a face.

__

The given pyramid has s=15 and h=15, so the surface area is ...

  A = (15)(15 +2×15) = 15(45) = 675 . . . square units

Answer:

200

Step-by-step explanation:

\(a^{2}\) + \(b^{2}\) = \(c^{2}\)

\(120^{2}\) + \(160^{2}\) = \(c^{2}\)

14400 + 25600 = \(c^{2}\)

40000 = \(c^{2}\)

\(\sqrt{40000}\) = \(\sqrt{c^{2} }\)

200 = c

Jesus love you.

Answer:

Option D

Step-by-step explanation:

Increasing intervals represent  the inputs that make the graph  rise, or the intervals where the  function has a positive slope.  Decreasing intervals represent the inputs that make the graph  fall, or the intervals where the  function has a negative slope.

The inputs ( − values) that make () rise are

(-2,∞)

Answer:

C) ASA

Step-by-step explanation:

Use what's given to limit your options:

We have two pairs of congruent angles, <B and <E, <C and <F, which means we can eliminate choices B and D because both don't account for both angle pairs.

Since we read proofs from left to right, only C works because the side is in between.

Answer:

the solution to the equation -2a - 6a - 9 = -9 - 6a - 2a is all real numbers, or (-∞, +∞).

Step-by-step explanation:

To solve this equation for "a", you need to simplify and rearrange the terms so that all the "a" terms are on one side of the equation and all the constant terms are on the other side. Here are the steps:

Start by combining the "a" terms on the left side of the equation: -2a - 6a = -8a. The equation now becomes: -8a - 9 = -9 - 6a - 2a.

Combine the constant terms on the right side of the equation: -9 - 2a - 6a = -9 - 8a. The equation now becomes: -8a - 9 = -9 - 8a.

Notice that the "a" terms cancel out on both sides of the equation. This means that the equation is true for any value of "a". Therefore, the solution is all real numbers, or in interval notation: (-∞, +∞).

In summary, the solution to the equation -2a - 6a - 9 = -9 - 6a - 2a is all real numbers, or (-∞, +∞).

A zero has the same meaning as the vertex.

The point where two lines meet forming an angle or set of angles is referred to as a vertex. This can also be called a point of origin especially when considering the axis of a Cartesian coordinate.

The vertex can be taken as zero since it is referred to as the point of origin. This is different to the axis of symmetry; as the axis of symmetry is one that splits a given plotted points i.e. a graph into two equal parts.

Thus, a zero has the same meaning as the vertex.

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