Question 4: 10 pts
Find whether the regular triangular pyramid has plane symmetry, symmetry about an axis, or neither.

[tex]3x - 8 = 4x - 17 \\ \\ \sf \longmapsto \: 3x + 4x = - 17 + 8 \\ \\ \sf \longmapsto \: 7x = - 9 \\ \\ \sf \longmapsto \: x = \frac{ - 9}{7} [/tex]

Answer:

Y =-10X +5

Step-by-step explanation:

x1 y1  x2 y2

1 -5  0 5

(Y2-Y1) (5)-(-5)=   10  ΔY 10

(X2-X1) (0)-(1)=    -1  ΔX -1

slope= -10          

B= 5          

Y =-10X +5    

Answer:

y = -2x2 + 8x + 5.

Step-by-step explanation:

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:

y = -1/4x - 2

Step-by-step explanation:

y = -1/4x - 2

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: [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:

2.4

Step-by-step explanation:

Took the assignment

Answer:

2.4 seconds is the correct answer.

Step-by-step explanation:

Just completed it.

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.

Answer:

it should be 3

Step-by-step explanation:

I hope this help

Answer:

the odd graph represented is

y

6

4

1st graph represents the odd function because it  is symmetric about origin

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

For a function f to be odd, it should satisfy the following equation:

f(-x) = -f(x)

For a function f to be even

f(-x)=f(x)

The graph of an odd function will always be symmetric about the origin.

By observing the graphs we can say that:

1st graph is symmetric about origin and hence it is an odd function.

2nd graph is symmetric about y-axis.Hence it is not an odd function.

Hence, 1st graph represents the odd function because it  is symmetric about origin

To learn more on Graph click:

https://brainly.com/question/17267403

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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!

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:

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.

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:

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.

Given:

Brown’s time for running a mile in gym class = 9.9 minutes

Ray’s time for running a mile in gym class = 9.47 minutes

Malcolm’s time for running a mile in gym class = 9.76 minutes

To find:

Who ran the mile in less time?

Solution:

It is given that the time taken by Brown, Ray and Malcolm to cover a mile are 9.9 minutes, 9.47 minutes and 9.76 minutes respectively.

9.47 < 9.76 < 9.9

Since, 9.47 minutes is the lowest time, therefore Ray can run a mile in less time.

9514 1404 393

Answer:

  m = 2

  n = 3

Step-by-step explanation:

1125 = 9·125 = 3^2 · 5^3

  m = 2

  n = 3

_____

Additional comment

Using divisibility rules, you can keep dividing by the obvious factors until the quotient is 1.

  1125/5 = 225

  225/5 = 45

  45/5 = 9

  9/3 = 3

  3/3 = 1 . . . . . . 5 is a factor 3 times; 3 is a factor 2 times.

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:

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:

ratio

Step-by-step explanation:

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

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:

D'E' be parallel to the original line

Step-by-step explanation:

Given

[tex]\triangle ABC[/tex]

Line [tex]DE[/tex]

[tex]k = 3[/tex] -- scale factor

Required

The relationship between [tex]DE[/tex] and [tex]D'E'[/tex]

When [tex]\triangle ABC[/tex] is dilated by a scale factor of 3, [tex]\triangle A'B'C'[/tex] will be three times as big as [tex]\triangle ABC[/tex].

Also:

Line [tex]D'E'[/tex] will be three times as long as [tex]DE[/tex]

Since no further transformation is done on [tex]\triangle ABC[/tex] and line [tex]DE[/tex], then [tex]D'E'[/tex] will be parallel to [tex]DE[/tex]

Answer:

4’3

Step-by-step explanation:

Took test

Answer:

4’3

Step-by-step explanation:

Answer: Advertisement?

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

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]

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]

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.