Please answer this question with decent explanation. Thank you.

The correct option is D: G(x) = -5x².

The equation of G(x) will be -5x² after vertically stretching and flipping.

A function change called a stretch or compression makes a graph bigger or narrower without moving it horizontally or vertically.

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The complete question is -

The graph of F(x) can be stretched vertically and flipped over the x-axis to produce the graph of G(x). If F(x) = x², which of the following could be the equation of G(x)?

A: G(x) = -1/5x²

B: G(x) = 5x²

C: G(x) = 1/5x²

D: G(x) = -5x²

Hi! ❄

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

The rule for this sequence is 'multiply by -6'.

Verification ↓

-3*(-6)[tex]\stackrel\checkmark{=}[/tex]18

18*(-6)[tex]\stackrel\checkmark{=}[/tex]-108

So the rule for the sequence is 'multiply by -6'

And the Common ratio is -6.

Hope that made sense !!

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

[tex]\star\tiny\pmb{calligraphy}\star[/tex]

[tex]\textbf{Heya !}[/tex]

✏✏[tex]\large\textsf{Given:-}[/tex]

✏✏ [tex]\large\textsf{To Find:-}}[/tex]

✏✏ [tex]\large\textsf{Solution Steps:-}[/tex]

What do we multiply each term of the sequence by to arrive at the next one ? we can find that by dividing the last term of the sequence, -108, by the middle term, 18:-

[tex]\large{\sf{\longmapsto{-108\div18=-6}[/tex]

Now divide 18 by the first term (-3) :-

[tex]\longmapsto\sf{18\div-3=-6}[/tex]

we arrived at -6 twice, So the rule for this sequence is:- "Multiply by -6, And you'll arrive at the next term"

`hope it helped ~ :D

Answer:

1.D 2.C 3.A 4.B

Step-by-step explanation:

hope this helped

Step-by-step explanation:

Let S be the set of all the stores in the sample, A be the set of stores dealing with Asian companies and E but the set of stores dealing with European companies

i. The set of stores that deal with European or Asian companies is A ∪ E. The inclusion-exclusion principle states that |A ∪ E| = |A| + |E| - |A ∩ E| = 266 + 308 - 103 = 471. So P(A ∪ E) = 471/500 = 0.942

ii. E' = S - E. |S-E| = 500 - 308 = 192. So P(E') = 192/500 = 0.384

iii. |A - E| = |A| - |A ∩ E| = 266 - 103 = 163. So P(A - E) = 163/500 = 0.326

iv. Stores that do not deal with only one type of company, must deal with both Asian and European companies. We are given that |A ∩ E| = 103. So P(A ∩ E) = 103/500 = 0.206

Easy, right?

Then mark as brainlist!

Dwayne will drink 12 bottles of water in 4 days.

To find out how many bottles of water Dwayne will drink in 4 days, we can set up a proportion based on the information given:

Let x be the number of bottles of water he will drink in 4 days.

The number of bottles of water consumed per day remains constant, so we can set up the following proportion:

48 bottles / 12 days = x bottles / 4 days

Now, solve for x:

48 / 12 = x / 4

4x = 48

x = 48 / 4

x = 12

So, Dwayne will drink 12 bottles of water in 4 days.

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Answer:

98 days

Step-by-step explanation:

140*70%=140*(7/10)=14*7=98

It should be noted that mathematical transformations involve changing an image in some prescribed manner.

Your information is incomplete. An overview will be given. A transformation is a general term for the specific ways to manipulate the shape and/or position of a point, a line, or geometric figure.

It should be noted that the original shape of the object is called the pre-Image and the final shape and position of the object is the image under the transformation.

There are four main types of transformations: translation, rotation, reflection and dilation. Also, in geometry, two figures or objects are congruent if they have the same shape and size, or if one has the same shape and size as the mirror image of the other

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Answer:

1. a translation and reflection

2. only rigid transfotmations

3. are congruent

Step-by-step explanation:

right on edmentum

Answer:

x=62

Step-by-step explanation:

This is a straight angle so they have to add up to 180.

124+x-6=180

118+x=180

x=180-118

x=62

Answer:

62

Step-by-step explanation:

124 + (x - 6) = 180

118 + x = 180

x = 62

The a28th term of a arithmetic sequence is -242.

According to the statement

We have given that :

a1 = 1 and d = -9. And by use of it we have to find the value of the a28th term in the arithmetic sequence.

So, arithmetic sequence is a sequence of numbers such that the difference between the consecutive terms is constant.

And the formula is

an = a1 +(n-1)d

here put the values in it

an = a28 , n = 28, d =-9, a1 =1

then

an = a1 +(n-1)d

a28 = 1 +(28-1)(-9)

a28 = 1 +(27)(-9)

a28 = 1 -243

a28 = -242.

So, The a28th term of a arithmetic sequence is -242.

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Answer:

A=120

B=165

C=240

Step-by-step explanation:

The median of the list of numbers is 7

The number is given as:

9.5, 4.4, 8.1, 2.9, 9.2, 3.2, 9.4, 7, 2.5

Rearrange the numbers in ascending order

2.5, 2.9, 3.2, 4.4, 7, 8.1, 9.2, 9.4, 9.5

The median is the middle number.

The middle number here is 7

Hence, the median of the list of numbers is 7

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A parallelogram is a type of quadrilateral that has opposite sides to be equal, and opposite angles to be equal.

Thus to complete the given proof in the question, the required statements and reasons are stated below:

             STATEMENT                                     REASONS

1. AB ≅ CD,                                                    Opposite sides of a

  BC ≅ AD                                                      parallelogram are equal

2. A, B, C, and D form a paralelogram         Given

3. Draw AC and BD                                       Drawing line segments

4. AB = CD,                                                    Equal line segments have

   BC = AD                                                     equal measures

5. ΔABC ≅ ΔCDA                                         SSS criterion for equal

   ΔABD ≅ ΔCDB                                         triangles

6. <BAD ≅ <DCB                                          Corresponding angles of equal

   <ABC ≅  <CDA                                         triangles are equal    

7. AC = AC, and BD = BD                             Reflective property of equality

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Answer: Reflection across x=2.

Step-by-step explanation:

x=2 is the perpendicular bisector of segment UU'.

Calculating the circumference of a circle based on the circle's diameter.

What kind of problems can a quantum computer solve?

10 Difficult Problems Quantum Computers can Solve Easily-

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The complete question is -

Which type of mathematical problem is too complex for a classical computer to solve efficiently?

a. converting an irregular fraction to an approximate decimal value

b. multiplying two numbers that both have a large number of digits

c. finding two prime factors that result in a specific value when multiplied

d. calculating the circumference of a circle based on the circle's diameter

The volume of the given composite figure is: 375 m³.

Volume of the composite figure = volume of triangular prism at the bottom + volume of rectangular prism at the top.

Volume of the composite figure = 0.5 * b * h * length + (l)(h)(w)

= 0.5 * 5 * 4 * 5 + (13)(5)(5)

= 50 + 325

Volume of the composite figure = 375 m³

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Answer:

13. 10a^4b²

14. -5y³ + 35y² - 10y

Step-by-step explanation:

Question 13:

(5a³b) (2ab) =

=10a^4b²

Question 14:

5y (-y² + 7y - 2) =

= -5y³ + 35y² - 10y

Hope this helps!

Answer:

force = work/distance

force = 900/5

force = 180 N

Answer:

10 years old

Step-by-step explanation:

Let m = mother's age

Let f = father's age

Let d = Dina's age

m = 4d               d = f-35                f = m+5

Substitute the middle equation in to the first equation

m = 4(f - 35) Use the distributive property

m = 4f - 140 subtract 4f from both sides

*m -4f = -140

In equation 3 above, subtract m from both sides  to get

f = m+5

f - m = 5  rearrange so that the  m term is first

*-m + f = 5  

Now add the equations together that have *

m -4f = -140

-m + f = 5

     -3f = -135  Divide both sides by -3

f = 45  This is the father's age.  To find Dina's age, plug 45 into the second equation above:

d = f -35

d = 45 -35

d = 10.

To find the mom's age, use the third equation:

f = m+5

45 = m + 5

40 = m

You can check this by plugging the answers you found and you can see that all three equations are solved.

m = 4d                        d = f - 35                 f = m + 5

40 = 4(10)                    10 = 45 - 35            45 = 40 + 5

40 = 40                       10 = 10                     45 = 45

Answer: 1. an = n + 4,   2. ( 3 1/2, 3.5, 5),   3. 6 1/12,   4. 97,   5. 0.2 meters,    6. 4.52,   7. 3 1/18

Step-by-step explanation:

Answer:

C. 4^6 / 5^6

Step-by-step explanation:

(4/5)^6

= 4^6 / 5^6

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\textbf{Equation:}[/tex]

[tex]\mathbf{(\dfrac{4}{5})^6}[/tex]

[tex]\huge\textbf{Simplify it:}[/tex]

[tex]\mathbf{(\dfrac{4}{5})^6}[/tex]

[tex]\mathbf{= \dfrac{4}{5}\times\dfrac{4}{5}\times\dfrac{4}{5}\times \dfrac{4}{5}\times\dfrac{4}{5}\times\dfrac{4}{5}}[/tex]

[tex]\mathbf{= \dfrac{4\times4\times4\times4\times4\times4}{5\times5\times5\times5\times5\times5}}[/tex]

[tex]\mathbf{= \dfrac{16\times16\times16}{25\times25\times25}}[/tex]

[tex]\mathbf{= \dfrac{256 \times 16}{625\times25}}[/tex]

[tex]\mathbf{= \dfrac{4,096}{15,625}}[/tex]

[tex]\mathbf{\approx \dfrac{4^6}{5^6}}[/tex]

[tex]\huge\text{Therefore, your answer should be: }[/tex]

[tex]\huge\boxed{\frak{Option\ C. \dfrac{4^6}{5^6}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Cost to put a 0. 5 ft layer of topsoil on the entire garden is $1000.

The quantity of square units required to completely fill a square is known as the area of a square. The region that lies inside the confines of a flat item or a two-dimensional figure is generally referred to as the area. Measurements are made in square units, with square meters serving as the reference unit 

Area of a Square = Side × Side.

Therefore, the area of square = Side square units.

Side of a square garden= 10 ft.

Area of a square garden= Side × Side= 10 × 10 =100 square ft.

Cost of the whole garden = 100×$5 =$500

Cost to put a 0. 5 ft layer of topsoil on the entire garden =$500/0.5

=$1000

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The cost need to put a 0. 5 ft layer of topsoil on the entire garden is $1000

According to the given statement

we have given that the

side length of the square garden is 10ft.

topsoil cost per foot is $5

And we have to find the cost which required to put a 0. 5 ft layer of topsoil on the entire garden.

So,

The  side length of the square garden is 10ft.

Now, the volume of the cube is (a)^2

And

Total volume of cube = 10*10

Total volume of cube = 100 per square foot.

Now, we find the cost required for a topsoil.

Cost required to put a topsoil of 1 foot in the total volume of cube = volume*cost

So,

Cost required to put a topsoil of 1 foot in the total volume of cube = 1000*5

Cost required to put a topsoil of 1 foot in the total volume of cube = $5000

if we put a topsoil of 0.5 feet then

The cost required = $5000/0.5

The cost required = $1000.

So, The cost need to put a 0. 5 ft layer of topsoil on the entire garden is $1000

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The given center and point on the circle of (0,0) and (-5, 3), respectively

gives the equation of the circle as [tex]x^{2} +y^{2} =\sqrt{34}[/tex].

The general form of the equation of the circle is presented as follows

(x - h)² + (y - k)² = r²

Where,(h, k) is the center of the circle and r is the radius of the circle

Here (h, k) is centered about the origin and the radius of the circle

Radius of the circle = √[(-5-0)² + (3-0)²]

= √(25+9)

=√34.

The equation of a circle centered on the origin going through the point (-5,3)

[tex]x^{2} +y^{2} =\sqrt{34}[/tex]

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The statement is False that When drawing a context diagram, standardized names should be used within each set of symbols.

According to the statement

we have given the statement and we have to show that the statement is a true or false after analyzing.

So, to analyse the statement

Context diagrams show the interactions between a system and other actors (external factors) with which the system is designed to interface. System context diagrams can be helpful in understanding the context .

But we know that the standardized names is not used within each set of symbols. so, this is used in a randomly sets.

that's why the given statement is not true in the case of the standardized names.

So, The statement is False that When drawing a context diagram, standardized names should be used within each set of symbols.

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Answer:

29 years

Step-by-step explanation:

[tex]f(x)= 200(0.5)^\frac{140}{50}}[/tex]

From here I'll just use a calculator & get 28.7, or 29 years.

The linear equation for the cost that the household spend in water is given by:

C(d) = 237d + 1200.

A linear function is modeled by:

y = mx + b

In which:

For this problem, the free usage of 1200 liters is the y-intercept, while the daily usage of 237 liters is slope. Hence the function for the amount the household spends in water in d days is given as follows:

C(d) = 237d + 1200.

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The angle m∠ABC is 70 degrees.

The angle in a rhombus can be found as follows;

The opposite angle of a rhombus are congruent.

Therefore,

∠B = 140 degrees

Hence, the diagonal of a rhombus bisect an angle.

Therefore,

m∠ABC = 140 / 2

m∠ABC = 70 degrees.

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Answer:

16

Step-by-step explanation:

The student uses the ratio of 4 oranges to 6 fluid ounces.

When there are 24 fluid ounces, the number of oranges will be:

= 4/6 × 24

= 16 oranges

The equation of the parabola graphed is given as follows:

y = a(x + 1)² - 4.

The equation of a quadratic function, of vertex (h,k), is given by:

y = a(x - h)² + k

In which a is the leading coefficient.

Considering the vertex given, we have that h = -1, k = -4, hence the equation is:

y = a(x + 1)² - 4

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Answer:

26.

Step-by-step explanation:

(11+14+23+16+x) / 5 = 18   where x is the value to be added.

(64 + x) / 5 = 18

64 + x = 90

x = 90 - 64

  =  26.

Using the properties of logarithms, it is found that the San Francisco earthquake was 24.71 times more severe than the Columbian earthquake.

As given in the problem, the intensities of the earthquakes are given by logarithms of base 10. Then, supposing that the intensities are [tex]R_1, R_2, R_1 > R_2[/tex], the ratio of the intensities is given by:

[tex]R = 10^{\frac{R_1}{R_2}}[/tex]

For this problem, the intensities are:

[tex]R_1 = 7.8, R_2 = 5.6[/tex]

Hence the ratio is:

[tex]R = 10^{\frac{7.8}{5.6}} = 24.71[/tex]

The San Francisco earthquake was 24.71 times more severe than the Columbian earthquake.

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