Danny, a grade 10 math student, completed the following chart. Review Danny's work. If there
are errors, explain, and correct them.
Natural
Whole
Integers
Rational
Irrational
Real
-3
32
711
125
143/125
7.17...

Answer:

15

Step-by-step explanation:

[tex]=\frac{6!}{4!\left(6-4\right)!}[/tex]

Answer:

Maybe you can add roles, like managing, or narrating?

Step-by-step explanation:

Answer:

y = (4/3)x - 3

Step-by-step explanation:

What is an equation of the line that passes through the points (3, 1) and (-3,  -7)?  (Do not repeat the coordinates of the points.)

First we need to find the slope of the line through these two points.  From (-3, -7) to (3, 1), x increases by 6 (which is the 'run') and y increases from -7 to 1 ( a 'rise' of 8).  Thus, the slope of this line is m = rise/run = 8/6, or m = 4/3.

Using the point-slope formula as our starting point, we insert the known values m = 4/3 and point (3, 1):

y - k = m(x - h) becomes y - 1 = (4/3)(x - 3).  This in itself is a satisfactory answer.  We could also write this equation in slope-intercept form, as follows:

y = 1 + (4/3)x - 4, or

y = (4/3)x - 3

Answer:

B

Step-by-step explanation:

We are given a cylinder with a height of (2x + 7) and a radius of (x - 3).

And we want to find the expression for the volume of the cylinder.

Recall that the volume of a cylinder is given by:

[tex]\displaystyle V = \pi r^2 h[/tex]

Where r is the radius and h is the height.

Substitute:

[tex]\displaystyle V = \pi(x-3)^2(2x+7)[/tex]

Expand. We can use the perfect square trinomial pattern:

[tex]\displaystyle V = \pi \left[\underbrace{(x^2-6x+9)}_{(a-b)^2=a^2-2ab+b^2}(2x+7)\right][/tex]

Distribute:

[tex]V=\pi \left[ 2x(x^2-6x+9)+7(x^2-6x+9)\right][/tex]

Distribute:

[tex]V = \pi \left[(2x^3-12x^2+18x)+(7x^2-42x+63)\right][/tex]

Rewrite:

[tex]V = \pi\left[(2x^3)+(-12x^2+7x^2)+(18x-42x)+(63)\right][/tex]

Combine like terms:

[tex]V = \pi (2x^3-5x^2-24x+63)[/tex]

Distribute:

[tex]V = 2\pi x^3-5\pi x^2 -24\pi x+63\pi[/tex]

Hence, our answer is B.

Answer:

Habrá 100 chocolates en total en 5 cajas de chocolates.

Step-by-step explanation:

Esta pregunta es resolvida usando proporciones, con lo uso de regla de tres .

11 cajas, 220 chocolates:

Entonces:

[tex]\frac{220}{11} = 20[/tex]

20 chocolates por caja.

Calcula cuántos chocolates habrá en total en 5 cajas de chocolates.

20 chocolates por caja, entonces:

5*20 = 100

Habrá 100 chocolates en total en 5 cajas de chocolates.

Answer:

The total metric days are 458 days.

Step-by-step explanation:

1 metric year = 375 days

1 metric year = 10 metric months

1 metric month = 10 metric week

1 metric week = 10 metric days

4 metric months = 10 x 4 x 10 metric days = 400 metric days

5 metric weeks = 5 x 10 metric days = 50 metric days

So, the total number of metric days = 400 + 50 + 8 = 458 metric days

Answer:

Rob has saved $24.

Step-by-step explanation:

The first thing I noticed was that Rob only saved some of the money he earned. That means only x% only gets saved. To find x, I simply divided 6 by 14 and got 0.42857142857. Then to find the amount he saved from earning $56, I multiplied that number with 56 and got 24.

Answer:

B.72°

Answer:

Translate circle O 2 units to the left and 6 units down. Then dilated circle o by a scale factor of 4/5.

Step-by-step explanation:

Objective: Using transformations that are similar and congruent.

Answer:

X= 7/2

Step-by-step explanation:

Multiply first equation by -2 and second equation by 1

-2(4x+7y=-14)

1(8x+5y= 8)

= -8x -14y =28

8x+5y=8

Add these equations to eliminate X:

-9y=36

-9y/-9 = 36/-9

y=- 4

Plug in Y to find X

4x + 7y = -14

4x+7(-4) = -14

4x-28+28= -14+28

4x= 14

X= 7/2

Answered by Gauthmath

Answer: x=3 and 1/2

Step-by-step explanation: Happy to Help (0.<)

Answer:

[tex]g(x) = -(10)^x[/tex]

Step-by-step explanation:

For a general function f(x), a reflection across the x-axis is written as:

g(x) = -f(x)

So, if here the function is:

[tex]f(x) = 10^x[/tex]

The reflection across the x-axis is:

[tex]g(x) = -f(x) = -(10)^x[/tex]

The correct option is the first one, counting from the top.

Answer:

[tex]\boxed{\sf a = 9 }[/tex]

Step-by-step explanation:

Two lines are given to us which are perpendicular to each other and we need to find out the value of a . The given equations are ,

[tex]\sf\longrightarrow 3x - 2y +7=0 [/tex]

[tex]\sf\longrightarrow 6x +ay -18 = 0 [/tex]

Step 1 : Convert the equations in slope intercept form of the line .

[tex]\sf\longrightarrow y = \dfrac{3x}{2} +\dfrac{ 7 }{2}[/tex]

and ,

[tex]\sf\longrightarrow y = -\dfrac{6x }{a}+\dfrac{18}{a} [/tex]

Step 2: Find the slope of the lines :-

Now we know that the product of slope of two perpendicular lines is -1. Therefore , from Slope Intercept Form of the line we can say that the slope of first line is ,

[tex]\sf\longrightarrow Slope_1 = \dfrac{3}{2} [/tex]

And the slope of the second line is ,

[tex]\sf\longrightarrow Slope_2 =\dfrac{-6}{a} [/tex]

Step 3: Multiply the slopes :-

[tex]\sf\longrightarrow \dfrac{3}{2}\times \dfrac{-6}{a}= -1 [/tex]

Multiply ,

[tex]\sf\longrightarrow \dfrac{-9}{a}= -1[/tex]

Multiply both sides by a ,

[tex]\sf\longrightarrow (-1)a = -9 [/tex]

Divide both sides by -1 ,

[tex]\sf\longrightarrow \boxed{\blue{\sf a = 9 }} [/tex]

Hence the value of a is 9 .

Answer:

Origin = (0, 0)

Gradient or slope:

[tex]{ \tt{slope = \frac{(0 - 3)}{(0 - ( - 2))} }} \\ { \tt{slope = - \frac{3}{2} }}[/tex]

General equation of line:

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

Consider the origin:

[tex]{ \tt{0 = ( - \frac{3}{2} \times 0) + c }} \\ c = 0[/tex]

Equation of line:

[tex]{ \tt{y = - \frac{3}{2}x }} \\ { \tt{2y = - 3x}}[/tex]

Answer:

-2y+3x=0

Step-by-step explanation:

Slop=(3-0)/(-2-0)=-3/2

(Y-Y1) =m(x-x1)

(y-3) =-3/2(x+2)

-2y+3x=0

Answer:

[tex]d = 3h - 6[/tex]

Step-by-step explanation:

Step 1:  Solve for d

I am assuming that you are asking for me to solve for the variable d.  Let me know if what I am doing is not what you want.

[tex]h = \frac{d}{3} + 2[/tex]

[tex]h - 2 = \frac{d}{3} + 2 - 2[/tex]

[tex](h - 2) * 3 = \frac{d}{3} * 3[/tex]

[tex]3h - 6 = d[/tex]

Answer:  [tex]d = 3h - 6[/tex]

Answer: 52 1/2

Step-by-step explanation: I just found the average of the numbers.

Answer:

50 miles

Step-by-step explanation:

There are 5 hours in between 10 AM and 3 PM.

Find how many miles she can go by multiplying 5 by 10, since she rides at 10 miles per hour:

5(10)

= 50

So, Natasha will ride 50 miles

Answer:

A dilation (similarity transformation) is a transformation that changes the size of a figure. It requires a center point and a scale factor , k . The value of k determines whether the dilation is an enlargement or a reduction.

In simple words, it's stretching, when you dilate with scale factor of x, means you multiply the previous value with x, say co-ordinates area -2,4, so you do (-2x,4x) to find the co-ordinates after dialation,

Here the scale factor is 3, so the new co-ordinates are,

(-2×3, 4×3) which is A' (-6, 12)

similarly,

B' (12, -3)

C' (-3, -6)

Answered by GAUTHMATH

Answer:

A’(-6;12)

B’(12;-3)

C’(-3;-6)

Step-by-step explanation:

If k is the factor then it means you have to multiply the coordinates of each point ( A, B and C).

So for example:

A’=3xA so when A(x;y) -> A’( 3x;3y)

So you have :

A’(-6;12)

B’(12;-3)

C’(-3;-6)

Then you just have to put them into a scale and rely them three to have your figure .

Hope it helps you.

Have a nice rest of your day :)

Answer:

f(- 3) = 27 and g(6) = - 15

Step-by-step explanation:

Substitute x = - 3 into f(x) and x = 6 into g(x) , that is

f(- 3) = - 2(- 3)² - 3(- 3) = - 2(9) + 9 = 18 + 9 = 27

g(6) = - 2(6) - 3 = - 12 - 3 = - 15

Answer:

by SAS only

Step-by-step explanation:

based on the diagram we only have one side and one angle explicitly identified as equivalent.

but we have an implicit confirmation of the second side QS to the enclosed angle, because the triangles are presented that this side is the same for both triangles.

so, SAS applies (but no other, as we don't have any information on the 3rd side).

Answer:

112 in^2

Step-by-step explanation:

First find the area of the rectangle

A = l*w = 14*7 =98

Then find the area of the triangle

A = 1/2 bh = 1/2 (18-14) *7 = 1/2 (4)*7 = 14

Add the areas together

98+14 =112

Hello!

[tex]\large\boxed{A = 112in^2}[/tex]

We can use the formula for the area of a trapezoid to solve:

A = 1/2(b1 + b2) · h

Thus:

A = 1/2(18 + 14) · 7

Simplify:

A = 1/2(32) · 7

A = 16 · 7

A = 112 in²

Answer:

Here is your answer

Hope it helps....

Answer:

The way I would tackle these types of problems would be to make a table, then graph the points using the results I get.

Step-by-step explanation:

So explaining the table is kinda hard since I suck at explaining, so I've attached a file showing the table I've made for number 1.

First Step:

Make the table. Make it a 3x4 table. For the top row, put y, the equation (I put 'y=2x' as shown in number 1), then x. Then for the left column, go down by one box, then put: -1, 0, 1. Really, you can put any numbers, but to make it easy for yourself, just write the numbers I've listed. These will be your y-values you'll be substituting.

Second Step:

a.) Plugging in the numbers. For the middle column, I've put down y=2x in each box, as shown in my table. Then for each of those boxes, plug in the numbers to the left of them and substitute them for the y-value. For example, look at the second row. The left box has '-1', so I replaced the 'y' in the equation and got '(-1)=2x'.

b.) After substituting the y-values, solve for x. For this case, you'll need to divide both sides by 2. If it doesn't make much sense, think about a seesaw. If you have 5 pounds on both sides, the seesaw will stay balanced. Add an additional 5 pounds to one side, then the seesaw will start tipping towards the heavier sides. So in order to keep an equation balanced, you must do any action to both sides of the equation. After diving both sides by 2, you'll get the value for x.

Final Step:

After finding the x-values for each of the y-values, it's time to graph the equations. Remember, x is left to right and y is down to up. To graph them, let's use the second row for example. y=-1 and x=-0.5. So all you need to do is to start from the origin (0,0), then go half a unit to the left, as x is negative, then go a unit down, as y is negative, then make a point. The rest should be pretty straight forward.

After making all three points, just get a ruler or any straight edge, then align it along those three points, then just make a line, and boom! You've solved number 1! For the purpose of saving my time, I'm pretty sure you can solve the rest using what I've just told you. Good luck!

Answer:

Step-by-step explanation:

a) 1 + 2 + 3 .... + 7 = 8*(3.5) = $28

b)  $0.01  

$0.02  

$0.04  

$0.08  

$0.16  

$0.32  

$0.64  

sum =  $1.27  

Given:

The sequence is:

-3, 5, -7, 9, -11,...

To find:

The correct statement about the given sequence.

Solution:

We have,

-3, 5, -7, 9, -11,...

Here, "..." means there are more terms in the sequence. So, the sequence has more than 5 terms and option A is incorrect.

From the given sequence it is clear that the 4th term is 9. So, option B is correct.

Clearly, 5th terms is -11. So, [tex]f(5)=-11[/tex] and option C is incorrect.

The domain of a sequence is always the set of natural numbers. So, option D is correct.

In the given sequence the 4th term is 9. It means the point (4,9) lies on the graph of the sequence. So, option E is correct.

Therefore, the correct options are B, D, E.

Answer:

Step-by-step explanation:

A=4πr2=4·π·1002≈1.25664×105

Answer:

x-⅓y=0

Step-by-step explanation:

thats the answer

brainly please

Answer: 3x-y=0

Step-by-step explanation:

X = 1/3y

X × 3 = 1/3 y × 3

3x = y

3x - y = y- y

3x- y = 0

Answer:

StartFraction negative 1 Over k cubed EndFraction

Step-by-step explanation:

3k / (k + 1) × (k²- 1) / 3k³

= 3k(k² - 1) / (k + 1)(3k³)

= 3k³ - 3k / 3k⁴ + 3k³

= -3k / 3k⁴

= -1/k³

StartFraction k + 1 Over k squared EndFraction

(k + 1) / k²

StartFraction k minus 1 Over k squared EndFraction

(k - 1)/k²

StartFraction negative 1 Over k cubed EndFraction

= -1/k³

StartFraction 1 Over k EndFraction

= 1/k

Answer:

B: k - 1 / k^2

Step-by-step explanation:

Answer:

The correct answer for this question is letter "(B) There are four diagonals." It is not a property of quadrilaterals.

Answer:

b

it has 2 diagonals crossing each other

Step-by-step explanation:

the answer is in the image above

I hope it helps

Answer:

c. .01

Step-by-step explanation:

.6389 divided by 63.89