Reflect triangle ABC across the line x = 2. Then the reflect (image) A' B' C' across the line x = -3.

Answer:

it should be 3

Step-by-step explanation:

I hope this help

Solution :

Amount of money Victoria has = $200

The amount modelled by function = h(x) = 200

According to the function,

s(x) = (1.05)x - 1

It means that the total amount of the interest that Victoria will receive s(x) is equal to original amount of $200 which multiplied by the rate of interest (1.05) and then multiplied by the time that Victoria keeps the money in the bank (x) minus 1.

The total amount of money she will have in her bank account as interest accrues after she deposits her $200 is 200 [tex](1.05)^{x-1}[/tex]

THe standrd exponential function is exprressed as:

y = a(1±r)^t

Given the following parameters

h(x) = a = 200

s(x) = [tex](1.05)^{x-1}[/tex]

Combining both expressions will given 200 [tex](1.05)^{x-1}[/tex]

Hence the total amount of money she will have in her bank account as interest accrues after she deposits her $200 is 200 [tex](1.05)^{x-1}[/tex]

Learn more on exponential function here: https://brainly.com/question/12940982

Answer:

The slope is 3/4 and the y intercept is -3

Step-by-step explanation:

y=3/4 x - 3

This equation is written in slope intercept form

y = mx+b where m is the slope and b is the y intercept

The slope is 3/4 and the y intercept is -3

Answer:

[tex]{ \bf{slope = \frac{3}{4} }} \\ \\ { \bf{y - intercept : - 3}}[/tex]

Step-by-step explanation:

General equation of line:

[tex]{ \bf{y = mx + b}}[/tex]

Slope is m and y-intercept is b:

[tex]{ \tt{y = \frac{3}{4}x - 3 }}[/tex]

Slope= ¾

y-intercept = -3

Answer:

8 Units, let me know if you didn't understand anything.  

Step-by-step explanation:

Translation is the simple movement of just left, right, up or down.  when dealing with the absolute value function here are the transformations.

A|B(x - C)| + D where A is the vertical stretch that multiplies all y values by A save where y=D.  B is the horizontal shrink, so you divide all x  values by B except for where x=C.  C is the horizontal shift, which is a translation.  C makes ALL points on the graph move to the right by C or if C is negative it moves them to the left.  it could also look like |x + C|.  keep in mind, +C is actually -C because - -C = C.  D shifts up and down, so it is also a translation.  if D is positive it moves up and if D is negative it moves down.

Nowthe only transformation in your problem is -8, which is a horizontal shift to the right.  so the graph moves 8 to the right.  There is your answer, 8 units.

Answer:

1/4

Step-by-step explanation:

Firstly, we need to get the total number of students on the table

We have this as;

20 + 20 + 25 + 7 + 13 + 5 + 3 + 2 + 5 = 100

Now, we sum up the values we have in the music/Drama column

We have this as;

7 + 13 + 5 = 25

so the probability of selecting a student in the music/drama group is the number of music/drama students divided by the total number

That would be

25/100 = 1/4

Answer:

ratio

Step-by-step explanation:

by using a conversion factor and a fraction, a ratio can be created to convert one unit to another.

they are all rational..

Answer:

a) 2, 4, 3, 6, 5, 10, 9, 16, ...

Step-by-step explanation:

Answer: Advertisement?

Do I need an explanation? : Y e s  I  d o

a box has a length of 6x inches

the width equals one third the length

the height equals half the length.

Volume of a rectangle box=l×w×h

if the volume equals 972 cubic inches,

The value of x is 27

a box has a length of 6x inches

so,

But,the width equals one third the length

[tex]w=\dfrac{1}{3}×6x \\\\w=2x [/tex]

again,the height equals half the length.

[tex]h=\dfrac{1}{2}×6x \\\\h=3x[/tex]

we knows:-

Volume of a rectangle box=l×b×h

if the volume equals 972 cubic inches,

Final solution:

.°.The value of x is 27.

Answer:

Unknown

Step-by-step explanation:

You need to reduce the fractions the best you can and solve from there :) not to sure tho I am only 13

Answer:

6557659

Step-by-step explanation:

tdycdu76rfvuiyt67gbvvbfutre7juitgvytx

Answer:

Step-by-step explanation:

Victoria used : 170 g of butter for 250 g of flour.

So, 1 g of flour requires = 170/250 g of butter = 0.68 g of butter.

Victoria's daughter used: 340 g butter for 400 g flour

So, 1 g of flour requires =  340/400 g of butter = 0.85 g of butter

Thus, the cookies are not good made by the daughter as the butter is not in appropriate proportion.

The question is incomplete. The complete question is :

A school in Delhi has its own flag, which is rectangular and divided into 4 rows and 6 columns. The word ‘SCHOOL’ is inscribed in the first row, ‘FLAG’ in the fourth row, and a  purple colored rhombus is in the middle, as shown in the given figure.

Based on this picture of the school flag, answer the following questions:  

(a) What fraction of the flag has the purple rhombus?

Solution :

From the figure, the total number of squares in the flag of 4 rows and 6 columns are : 4 x 6 = 24 blocks

The purple colored rhombus is made on the half of the 4 blocks.

i.e. [tex]$\frac{1}{2} \times 4 = 2\ \text{blocks}$[/tex]

Therefore, the fraction of the flag that has the purple rhombus is :

[tex]$=\frac{2}{24}$[/tex]

[tex]$=\frac{1}{12}$[/tex]

7.7

Step-by-step explanation:

In a parallelogram opposite sides are congruent.

The length of the missing side TQ in the parallelogram is 7.7.

Here, we have, from given figure that, SRQT is a parallelogram.

now, we have,

To find the length of the missing side TQ in the parallelogram,

we can use the properties of a parallelogram.

In a parallelogram, opposite sides are equal in length.

Therefore, we can determine the length of TQ by finding the length of its opposite side, SR.

Given that SR = 7.7,

we know that TQ must also have a length of 7.7.

So, we get,

the length of the missing side TQ in the parallelogram is 7.7.

To learn more on parallelogram click:

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Answer:

P = 64 meters

Step-by-step explanation:

P = 2(l+w)

l = 14 and w = 18

P = 2(14+18)

P = 2( 32)

P = 64 meters

Perimeter of rectangle = 2 ( L + B )

Perimeter of rectangle = 2 ( 14 + 18 )

Perimeter of rectangle = 2 ( 32 )

Perimeter of rectangle = 64 meters.

Answer:

y = -1/4x - 2

Step-by-step explanation:

y = -1/4x - 2

Answer:

[tex]y = -4x^2 + 8x + 192[/tex]

Step-by-step explanation:

Hi there!

Standard form: [tex]y=ax^2+bx+c[/tex]

[tex]y = -4(x + 6)(x - 8)[/tex]

Use the distributive property to multiply (x+6) and (x-8)

[tex]y = -4(x(x - 8) + 6(x - 8))\\y = -4(x^2 - 8x + 6x - 48)\\y = -4(x^2 - 2x - 48)[/tex]

Multiply the parentheses by -4

[tex]y = -4x^2 + 8x + 192[/tex]

I hope this helps!

Step-by-step explanation:

Hey there!

From the above right angled triangle ABC;

Taking Angle ABC as reference angle;

Angle ABC = ???

Perpendicular (p) = AC = 15

Base (b) = AB = 47

Now;

Taking ratio of sin;

[tex] \tan( \alpha ) = \frac{p}{b} [/tex]

Keep value;

[tex] \tan( \alpha ) = \frac{15}{47} [/tex]

Simplify it;

[tex] \tan( \alpha ) = 0.3191489[/tex]

Take tan to next side;

Angle ABC (alpha) = tan'(0.3191489)

Therefore, the measure of angle ABC is 17.70°.

Hope it helps!

Answer:

Additive property

Step-by-step explanation:

Given

[tex]x - 5 = -14[/tex]

Required

The property used

In the 2nd step, 5 was added to both sides, i.e.

[tex]x - 5+5 = -14 + 5[/tex]

The above is an illustration of additive property of equality, i.e. Adding or subtracting the same variable or constant to both sides of an equation

Answer:

15 grams

Step-by-step explanation:

There is a 50 gram chocolate bar that contains 30% cocoa. So we are basically finding 30% of 50. We break 30 into 3*10 and 50 into 5*10. 5*3 = 15.

Therefore, there are 15 grams of cocoa in the chocolate bar.

I hope this helps.

Answer:

The right solution is "0.5545".

Step-by-step explanation:

According to the question,

The probability of having 6 or 7 males will be:

= [tex]P(6 \ males)+ P(7 \ males)[/tex]

= [tex]\frac{15_C_6\times 13_C_6}{28_C_{12}} + \frac{15_C_7\times 13_C_5}{28_C_{12}}[/tex]

= [tex]\frac{5005\times 1716+6435\times 1287}{30421755}[/tex]

= [tex]\frac{16870425}{30421755}[/tex]

= [tex]0.5545[/tex]

Answer:

y = - 2x - 6

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 5, 4) and (x₂, y₂ ) = (- 4, 2)

m = [tex]\frac{2-4}{-4-(-5)}[/tex] = [tex]\frac{-2}{-4+5}[/tex] = [tex]\frac{-2}{1}[/tex] = - 2 , then

y = - 2x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (- 4, 2 ) , then

2 = 8 + c ⇒ c = 2 - 8 = - 6

y = - 2x - 6 ← equation of line

Answer:

Hello,

Answer A

Step-by-step explanation:

[tex]a_1=-6\\\\a_2=a_1*(\dfrac{1}{4} )^1\\\\a_3=a_2*(\dfrac{1}{4} )^1=a_1*(\dfrac{1}{4} )^2\\\\\\\\a_n=a_1*(\dfrac{1}{4} )^{n-1}\\\\Answer\ A\\[/tex]

Answer:

They sold 162 vanilla cones.

Step-by-step explanation:

429-105=324

324/2=162

162+105=267 (chocolate)

267(chocolate)+162(vanilla)=429(total)

Answer: [tex]V=3369.3ft^3[/tex]

Step-by-step explanation:

[tex]V=\frac{4}{3}\pi r^3\\V=\frac{4}{3}\pi (9.3)^3\\V=3369.3ft^3[/tex]

Answer: [tex]14.9^{\circ}[/tex]

Step-by-step explanation:

Given

Applied force is 9 lb to hold of 35 lb crate on a hill

Suppose the hill makes an angle of [tex]\theta[/tex] with horizontal

There will be two component of weights i.e. along and perpendicular to the hill

Only the component along the hill pulls the crate backwards

So,

[tex]\Rightarrow 35\sin \theta=9\\\\\Rightarrow \sin\theta =\dfrac{9}{35}\\\\\Rightarrow \theta =14.89^{\circ}\approx 14.9^{\circ}[/tex]

Answer:

x=3

Step-by-step explanation:

If we look at the point of intersection on the graph they intersect at point (3,-1) but x=3 and y=-1 therefore x=3.