When you simplify,
10!/(10 - 3)!-3
is equal to:?
​

Step-by-step explanation:

the proportion that contains BC and FI :

BC / FG = proportion

8/4= proportion

2= proportion

BC/FI=8/3

Answer:

y = 2x + 125

Step-by-step explanation:

y = mx + c

c in this problem is $125.

It is the amount of money she has already saved, that is not going to change, so this is the y intercept.

She saves $2 every day, with the number of days being x.

So she saves $2 × x = 2x

2x is the gradient.

On your graph, your straight lien should run through 125 on the y-axis.

The line should have a gradient, or slope, of 2x.

Make sure to plot carefully, looking at the scale of the graph.

The equation is that the total amount Anna saves will be y = 2x + 125. And the graph of the line is drawn below.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

Anna is saving to get a few keepsakes on a family excursion. She has previously saved $125, and she saves another $2 from her remittance consistently.

Let 'x' be the number of days and 'y' be the total cost. Then the equation is given as,

y = 2x + 125

The equation is that the total amount Anna saves will be y = 2x + 125. And the graph of the line is drawn below.

More about the linear equation link is given below.

https://brainly.com/question/11897796

#SPJ2

Answer:

(3,1)

Step-by-step explanation:

The rule for a 90 degree clockwise rotation:

[tex](x,y)\rightarrow(y,-x)[/tex]

B is (-1, 3).

Apply the rule:

[tex]\frac{(-1,3)\rightarrow\boxed{(3,1)}}{(x,y)\rightarrow(y,-x)}\\\\3 * 1 = 3\\\\-1 * -1 = 1[/tex]

Option D should be the correct answer.

Answer:

x=16

x=8

x=36

Step-by-step explanation:

16÷4=4

8÷4=2

36÷4=9

Answer:

please see the attached picture.

Hope it helps..

Best regards!!

You posted a lot of questions. I'll do the first four problems to get you started.

============================

Problem 1

This sequence is arithmetic because we add the same amount (4) each time to get the next term. The first term is -2. The first five terms are: -2, 2, 6, 10, 14

============================

Problem 2

This sequence is geometric. We multiply each term by 1/4 to get the next term. We start with 8 as the first term. The first five terms are 8, 2, 1/2, 1/8, 1/32.

============================

Problem 3

Similar to problem 1. This time we're adding -19 to each term to get the next one. The starting term is -6. This sequence is arithmetic and the first five terms are -6, -25, -44, -63, -82

============================

Problem 4

Similar to problem 2. This sequence is geometric with common ratio 2/3. First term is 6. The first five terms are 6, 4, 8/3, 16/9, 32/27

Answer:

[tex]\boxed{92 \: \mathrm{mm}}[/tex]

Step-by-step explanation:

sin θ = [tex]\frac{opposite}{hypotenuse}[/tex]

sin (60) = [tex]\frac{80}{x}[/tex]

x = [tex]\frac{80}{\mathrm{sin} (60)}[/tex]

x = 92.37604307...

x ≈ 92

Using the base dimension and either given angle you can solve for x

Sin(angle) = opposite leg/ hypotenuse

Sin(60) = 80/x

X = 80/sin(60)

X = 80/ sqrt(3)/2

X = 160/3 x sqrt(3). (This is exact answer)

For a decimal answer: 160/3 = 53 1/3

Multiplied by sqrt(3) = 92.376 mm

Rounded to nearest mm = 92

Answer:

121

Step-by-step explanation:

This is an arithmetic sequence.

First term  a = -15

Common difference [d] = second term - first term

                                  = -11 - [-15] = -11 + 15 = 4

nth term = a + (n-1) * d

35th term = -15 + (35 - 1) * 4

                = -15 + 34 * 4

                = - 15 + 136

                = 121

Answer:

121 and 257

Step-by-step explanation:

So we would have our equation for arithmetic sequences which is [tex]a_{n} =a_{1} +(n-1)d[/tex] a1 is the first term, n is the term we want to know, and d is the common difference. We would plug in the numbers into the equation so we would get [tex]a_{n} =-15+(35-1)4[/tex]. And if you simplify you would get [tex]a_{n} =121[/tex].

Than for the other one we would do the same thing so you would get [tex]a_{n} = 121+(35-1)4[/tex] and if you simplify you would get [tex]a_{n} =257[/tex].

Answer:

the answer is just 2

Step-by-step explanation:

start at the -3 and move right 3 and up 6 this is a inclined line so the answer will be positive the fraction put the numbers into a rise over run fraction which will be 6/3 which will reduce to 2/1 which is 2.

Step-by-step explanation:

4+6+5=15

15-1=14

2/14

1/7

Answer:

[tex]\boxed{\frac{2}{7}}[/tex]

Step-by-step explanation:

Part 1: Finding out total number of marbles

To start, we need to find out how many marbles are in the bag.

[tex]4 + 6 + 5 = 15[/tex] marbles

Part 2: Removing blue marble and finding probability

After removing the blue marble and not replacing it, we can then infer that we have 14 marbles remaining.

If we have 4 red marbles in the bag, simply find the ratio of red marbles to the total marbles.

[tex]\frac{4}{14} = \boxed{\frac{2}{7}}[/tex] or a 28.57% chance of occurrence.

Answer:

ok

Step-by-step explanation:

Both of these are ways to express linear equations.

[tex]y - y_1 = m(x - x_1)[/tex] is the equation for a line with slope m which contains the point [tex](x_1,y_1)[/tex]. This is called point-slope form.

[tex]y = mx + b[/tex] is the equation for a line with slope m and y-intercept b. That is, it contains the point (0, b). This is called slope-intercept form.

Both of these are perfectly valid ways of writing lines, though sometimes one will be easier to use than the other.

Answer:

Hey there!

Both of these can be used to write the equation of the line. However, for the Y-Y1=M(X-X1) equation, we must know one point on the line (X1, Y1) and the slope of the line, while in the Y=MX+B equation, we need to know the slope and the x or y intercept.

For example, we can convert from Y-Y1=M(X-X1) to Y=MX+B

For example, say the point is (2, 3) and the slope is 1

Then, we have Y-3=1(x-2)

This simplifies to Y-3=1x-2

And to Y=X+1

So it is very possible to change from one form to another.

Let me know if you need more help.

Answer:

[see below]

Step-by-step explanation:

[tex]\frac{1}{90}*-\frac{1}{3}\\\\\frac{1*-1}{90*3}\\\\\frac{-1}{270}\\\\\boxed{-\frac{1}{270}}[/tex]

If a number gets multiplied by it's reciprocal, the product would be one.

[tex]\frac{x}{y}*\frac{y}{x}=1\\\\-\frac{1}{270}*-\frac{270}{1}= 1[/tex]

The reciprocal of the product of the equation is [tex]-\frac{270}{1}[/tex].

Hope this helps.

Answer:

8, 18, 11, 15, 5, 4, 14, 9, 19, 1, 7, 17, 6, 16, 10, 13, 3, 12, 2

Step-by-step explanation:

The answer is actually very simple: the numbers are placed in alphabetical order.

E ight

E ighteen

E leven

F ifteen

F our

F ourteen

N ineteen

O ne

S even

S eventeen

S ix

S ixteen

T en

T hirteen

T hree

T welve

T wo

Answer:

D

Step-by-step explanation:

2/5 is 40%, so we need to find 40% of 25. .40 x 25 = 10. We see that 31 - 40 has 8 values and 41 to 50 has to, and 8 + 2 = 10, so our answer is D.

Answer:

4th choice

Step-by-step explanation:

First we would just solve the equation since that is the easiest way. So 15 would be our a1 or first term and each time the number is being added by  4 so we would get an = -15 + 4(n - 1) for our final answer or the 4th choice

Answer:

option 4

Step-by-step explanation:

-15, -11 , -7 ,......

First term = [tex]a_{1}[/tex] = -15

Common difference = d = 2nd term -  1st term

                                 = -11 - [-15]

                                 = -11 + 15 = 4

Plug in the values of [tex]a_{1}[/tex] & d in the formula

[tex]a_{n} = a_{1} + d (n-1)\\\\a_{n} = -15 + 4*(n-1)[/tex]

Answer: 72 inches

Step-by-step explanation:

You are given that equilateral triangle BFC is cut out of square ABCD, since it is an equilateral triangle, that is all sides are equal to each other, we can therefore find the side of a triangle.

Given that the perimeter of square ABCD was 48 inches.

Perimeter of a square = 4L

Substitute 48 into the formula

48 = 4L

L = 48/4 = 12 inches

That means each length = 12 inch

Perimeter P of the shaded figure ABFCDE will be

P = AB + BF + FC + CD + DE + EA

P = 12 + 12 + 12 + 12 + 12 + 12

P = 72 inches

Therefore, the perimeter of ABFCDE is 72 inches.

Answer:

72

Step-by-step explanation:

We know that each side of a square is equal so if the perimeter is 48 then 48/4 = 12 and knowing the bottom of that triangle cut out is 12 we can solve each side 12 since its a equilateral triangle.

12*6= 72 = answer

Answer:

The beam will bend by 50 mm with a mass of 100kg?

Step-by-step explanation:

The first step in solving the problem of direct variation is setting up the relation mathematically.

We can do this as follows:

The bending of the beam varies directly as its mass.

[tex]20 \alpha 40kg[/tex]

[tex]\alpha[/tex] here is the symbol representing direct variation. To remove this and replace it with an equality sign, we have to introduce a constant of proportionality, k

[tex]20 = k \times 40[/tex]

k = 20 /40 = 0.5

We can now use this to find the distance the beam will bend with a mass of 100kg?

This will be

[tex]Bending = 0.5 \times 100 =50mm[/tex]

There fore, the beam will bend by 50 mm with a mass of 100kg?

Answer:

Step-by-step explanation:

If there are illustrations to given problems, please share those illustrations.  Thank you.  

The only value of x for which  [x-5]=1 is true is 6:   [6-5]=1

Steps to solve:

x - 5 = 1

~Add 5 to both sides

x - 5 + 5 = 1 + 5

~Simplify

x = 6

Best of Luck!

Answer:

20 units^3

Step-by-step explanation:

Well the formula for the volume of a box is,

l*w*h

l = 2

h = 2

w = 5

2*2*5

= 20 units^3

Hope this helps :)

Answer:

The volume of a box is:

20 units³

Step-by-step explanation:

The volume formula is:

v = height*width*length

v = 2*5*2

v = 20 units³

Answer:

[tex]CD=4 \text{ cm }[/tex]

Step-by-step explanation:

We have a similarity of triangles. Once the side BC and ED are parallel,

[tex]$\frac{BC}{AC} =\frac{ED}{AD} $[/tex]

[tex]$\frac{10}{AC} =\frac{5}{4} $[/tex]

Once [tex]AC=AD+CD \Rightarrow AC=4+CD[/tex]

[tex]$\frac{10}{4+CD} =\frac{5}{4} $[/tex]

[tex]5CD+20=40[/tex]

[tex]5CD=20[/tex]

[tex]CD=4 \text{ cm }[/tex]

Answer:

17 seconds

Step-by-step explanation:

Solution:-

The trajectory of a rocket launched is modeled by a parabolic path via a quadratic equation as follows:

                               [tex]y = -16x^2 + 266x +102[/tex]

Where,

                   y: The height of the rocket from ground

                   x: The time taken since rocket launch

We are to determine the time ( x ) it takes for the rocket to hit the ground. This can be determined by setting the quantity ( y ) to zero as follows

                             [tex]y = -16x^2 + 266x +102 = 0\\\\ -16x^2 + 266x +102 = 0[/tex]

solve the quadratic equation using quadratic formula as follows:

                             [tex]x = \frac{-b +/- \sqrt{b^2 - 4ac} }{2a} \\\\x = \frac{-266 +/- \sqrt{266^2 - 4*(-16)*(102)} }{2*(-16)} \\\\x = \frac{-266 +/- 278 }{-32} \\\\x = 8.3125 +/- 8.6875\\\\x = 17 , -0.375[/tex]

Answer: Ignore the negative value for time " -0.375 ". Hence, the rocket hits the ground at time t = 17 seconds

Answer:

45 red marbles

Step-by-step explanation:

Okay, so the ratio is 9:15:6. We add that up and we get 30. We do 150/30 and get 5. Each number in the ratio is equal to 5. We do 9*5=45.

Answer:

45 red marbles

Step-by-step explanation:

Out of the 30 marbles picked, 9 were red so that's 3/10 of the smaller sample. If you take 3/10 of 150 to get the value of the larger sample, you will get 45 marbles.

So basically what they're asking is that each of the angles of the triangle you're creating must be 30, 60, and 90 degrees. The term "leg" is generally the base so AB on your screen is probably a length. This'd help you with how big you should make the angles of the triangle.

Hope this helps!! <3

Answer:

c  rectangular prism i think

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

(x - 2)^2 + (y - 4)^2 = 9

The equation of a circle is written as

(x-h)^2+ (y-k)^2 = r^2

where ( h,k) is the center and r is the radius

(x - 2)^2 + (y - 4)^2 = 3^2

The center is ( 2,4) and the radius is 3

Answer:

r = 3

Step-by-step explanation:

The stock equation for a circle of center (h, k) and radius r is

(x - h)^2 + (y - k)^2 = r^2.  Comparing this with the given (x - 2)^2 + (y - 4)^2 = 9, we see that r^2 must be 9 and therefore r = 3.

Answer:

[tex]6x^2 -x - 1[/tex]

By degree: Quadratic

By number of terms: Trinomial

[tex]3x + 4[/tex]

By degree: Linear

By number of terms: Binomial

[tex]2[/tex]

By degree: Constant

By number of terms: Monomial

Step-by-step explanation:

Given

[tex](x - \frac{1}{2})(6x + 2)[/tex]

[tex](7x^2 + 3x) -\frac{1}{3}(21x^2 - 12)[/tex]

[tex]4(5x^2-9x+7)+2(-10x^2+18x-13)[/tex]

Required

Simplify and categorize the result based on their degree and number of terms

Simplifying [tex](x - \frac{1}{2})(6x + 2)[/tex]

[tex]x(6x + 2) - \frac{1}{2}(6x + 2)[/tex]

Open bracket

[tex]6x^2 + 2x - 3x - 1[/tex]

[tex]6x^2 -x - 1[/tex]

By degree: Quadratic

By number of terms: Trinomial

Simplifying [tex](7x^2 + 3x) -\frac{1}{3}(21x^2 - 12)[/tex]

Open bracket

[tex]7x^2 + 3x -\frac{1}{3} * 21x^2 -\frac{1}{3}*- 12[/tex]

[tex]7x^2 + 3x -7x^2 + 4[/tex]

Collect like terms

[tex]7x^2-7x^2 + 3x + 4[/tex]

[tex]3x + 4[/tex]

By degree: Linear

By number of terms: Binomial

Simplifying [tex]4(5x^2-9x+7)+2(-10x^2+18x-13)[/tex]

Open brackets

[tex]4*5x^2-4*9x+4*7+2*-10x^2+2*18x-2*13[/tex]

[tex]20x^2-36x+28-20x^2+36x-26[/tex]

Collect like terms

[tex]20x^2-20x^2-36x+36x+28-26[/tex]

[tex]2[/tex]

By degree: Constant

By number of terms: Monomial

Answer:

Length = 5 units, Area = 51 unit squared

Step-by-step explanation:

For the length of the midsection (I think this is what you're talking about):

Method 1.

Draw the graph and count the units across for the length.

Method 2.

The lowest y coordinates are the 0 from point A and the 0 from point B: this means that the line between point A and B is the bottom line of the trapezoid.

The highest y coordinates are the 6 from point C and the 6 from point D: this means that the line between point C and D is the top line of the trapezoid (parallel to line AB).

Since the length of the midsection is essentially the shorter line of the two parallel lines, it is the length between point C and point D.

(10, 6) - (5, 6) = 5, so the length of the midsection is 5 units.

For the area:

Step 1. Add the lengths of the pair of parallel lines.

5 units + 12 units = 17 units

Step 2. Divide the answer to step 1 by 2.

17 units ÷ 2 = 8.5 units

Step 3. Multiply the answer to step 2 by the height between the two parallel lines.

6.5 units x 6 units = 51 units squared

Hopefully this was what you were looking for!

Bluey :)

Answer:

36

Step-by-step explanation:

There are 3 * 2 = 6 ways to go from A to C and then 2 * 3 = 6 ways to go from C to A so the answer is 6 * 6 = 36.

Answer:

The "top center" one

Step-by-step explanation:

-y=x+3

-Use the slope-intercept form to find the slope and y-intercept. (y=mx+b)

m=1 b=3

-Slope: 1 , y-intercept: 3

X   | y

-3 | 0

 0 | 3

Then you can use a graphing calculator if you'd like !

Answer:

Rectangular Cuboid

Step-by-step explanation:

A rectangular cuboid has 4 faces that are rectangles and 2 faces that are squares.  Since a square is a rectangle, this shape is technically built of 6 rectangles and is creates a 3-dimensional shape.  Hence, we have the prism, rectangular cuboid.