Evaluate the expression(ab) for a = 10 and b= 4

Answer:

a_5 = 1,500

Step-by-step explanation:

1. Determine the given of the problem.  

       a_n – unknown sequence  

        a_1 – 3/20  

        r – ((3⁄2)/(3⁄20)) = 10  

        n – 5  

2. Substitute the given to the formula of the geometric sequence.  

           a_n = a_1 r^(n-1)

           a_5 = (3/20) (10)^(5-1)

3. Solve the given problem.  

           a_5 = (3/20) (10)^(5-1)       - Subtract the exponent.  

           a_5 = (3/20) (10)^(4)          - Multiply 1/10 to the exponent.  

           a_5 = (3/20)(10000)          - Multiply it.  

           a_5 = (30000/20)             - Divide it.  

           a_5 = 1,500                       - Answer of the problem.

the answer is 1500

correct me if you want

Answer:

[tex]14\text{ and }16[/tex]

Step-by-step explanation:

Let the smaller number be [tex]x[/tex]. Since they are consecutive even numbers, the larger number can be represented by [tex]x+2[/tex].

Therefore, we have the following equation:

[tex]8(x+2)-5x=58,\\8x+16-5x=58,\\3x=42,\\x=\boxed{14}[/tex]

Thus, the larger number is [tex]x+2=\boxed{16}[/tex]

Answer:

x = 53

Step-by-step explanation:

The sum of the angles of a triangle are 180

x + ( x+2) + 72 = 180

Combine like terms

2x+74  =180

2x+74-74 = 180-74

2x =106

Divide by 2

2x/2 = 106/2

x =53

Answer:

0 + 0.5, 0 + 0.6 + 0.05, 2 + 0.3 + 0.05, 1 + 0.06

Step-by-step explanation:

expanded form is just taking the number apart from ones to tenths to hundreds and so on, or from ones to tens to hundreds and then so on. then you just split it and put the numbers in added form.

Answer:

a) 3/4

b) 1/4

c) 1/2

d) 1/2

Step-by-step explanation:

A tosses one coin while B tosses two coins

a) P( B wins given A gets 0 heads )

In this scenerio for B to win, he needs to get at least 1 head i.e.  P( B gets at least one heads)

  =  1 - P(B get no head)

  =  1 -  (1/2)^2  = 3/4

b) P( B wins given A gets 1 head )

For B to win when A gets 1  head means that B will have to get 2 heads

i.e. P( B gets 2 heads ) = P( one head )^2 = ( 1/2 )^2 = 1/4

c) P( B wins )

P ( B wins ) = P(A get 0 head and B gets at least one head) + P(A get 1 head and B get 2 head)

= ( 1/2 * 3/4 ) + ( 1/2 * 1/4 ) = 1/2

d) P ( B wins the new game )

Given that: A tosses two(2) coin while B tosses three(3) coins

P( B ) = P(A gets 0 head and B gets one head) +  P(A get 1 head and B get 2 or 3 heads )  +    P(A get 2 head and B gets 3 heads )

=[ (1/4 *(1 -1/8) ] +  (1/2 * 1/2)  +   ( 1/4 * 1/8 )= 1/2

Answer:

a. Budget estimates prepared by front-line managers are often more accurate and reliable than estimates prepared by top managers who have less intimate knowledge of markets and day-to-day operations.

Step-by-step explanation:

The following is the exception in the self-imposed budgets among other listed  statements.

Answer:

35

Step-by-step explanation:

AEC and AEB form a straight angle(180°)

180-40=140

AEV and AED are equal

140 divided by 4 = 35

Answer:

She bought

22 of the 52 cent stamps and

26 of the 23 cent stamps.

Step-by-step explanation:

Given :

Total stamp increase = 48

Let number of 52 cent stamp = x

Number of 23 cent stamp = 48 - x

The cost equation :

0.52*x + 0.23*(48-x) = 17.42

0.52x + 11.04 - 0.23x = 17.42

0.52x - 0.23x = 17.42 - 11.04

0.29x = 6.38

x = 6.38 / 0.29

x = 22

Hence,

She bought 22 ; 52-cent stamps

And (48 - 22) = 26, 23-cent stamps

Answer:

i dont know

Step-by-step explanation:

You can check your answers with math-way if you want I haven't done this in a while but I'm sure I've answered questions involving slope many times, you can take a look at them.

Remember that y2 - y1 / x2 - x1 = m

m= slope

Answer:

m equals 27

Step-by-step explanation:

m+7=34

-7 = -7

m = 27

Answer:

m+7 =34

m=34-7

m=27

First option is the answer

Answer: A

Step-by-step explanation its easy

Answer:

C. fraction 1 over 9 ft3

Step-by-step explanation:

Hope I helped!!

Answer:

I love Math anyways  

the ans is in the picture with the steps  

(hope it helps can i plz have brainlist :D hehe)

Step-by-step explanation:

Answer:

See Below.

Step-by-step explanation:

Statements:                                                  Reasons:

[tex]\displaystyle 1)\, AD\perp BC\text{ and } D\text{ is the midpoint of } BC[/tex]   Given

[tex]\displaystyle 2)\, BD\cong CD[/tex]                                                  Definition of Midpoint

[tex]\displaystyle 3)\, m\angle ADB=90^\circ \text{ and } m\angle ADC=90^\circ[/tex]          Definition of Perp. Lines

[tex]\displaystyle 4)\, m\angle ADB=m\angle ADC[/tex]                                 Substitution

[tex]\displaystyle 5) \angle ADB\cong \angle ADC[/tex]                                       Definition of Congruence

[tex]\displaystyle 6)\, AD\cong AD[/tex]                                                  Reflexive Property

[tex]\displaystyle 7)\Delta BDA\cong\Delta CDA[/tex]                                       SAS Congruence

Answer:

3.3333333333333333333333333333333

Step-by-step explanation:

10 divide it by 3 and get your answer on what amount and fraction of liter each person will get.

Note:

Pls notify me if my answer is incorrect for the other users that will see this message. Thank you.

-kiniwih426

Answer:

A) 60

Step-by-step explanation:

P = 5+5+11+9+(5+11)+(9+5)

P = 60

Answer:

A. 60 m

Step explanation:

Perimeter for the small cube

5+5+5+5=20

Perimeter for the rectangle

9+9+11+11=40

Add 20 plus 40 to find the perimeter for the whole shape

20+40=60

Hope this helps

Answer:

option a is right hope it may help u

Step-by-step explanation:

cz area unit always comes in square

and volume comes in cube so don't be confused

[tex]32,500 {m}^{2} [/tex]

Answer:

[tex]y =-x[/tex] ---- critical point

local minima

Step-by-step explanation:

Given

[tex]f(x,y) = x^2 + y^2 + 2xy[/tex]

Required

Determine the critical point

Differentiate w.r.t x

[tex]f_x =2x + 2y[/tex]

Differentiate w.r.t y

[tex]f_y =2y + 2x[/tex]

Equate both to 0

[tex]2x + 2y =0[/tex]

[tex]2y =0-2x[/tex]

[tex]2y =-2x[/tex]

Divide by 2

[tex]y =-x[/tex] ----- in both equations

Hence:

The critical point is: [tex]y =-x[/tex]

Solving (b):

We have:

[tex]f_x =2x + 2y[/tex]

[tex]f_y =2y + 2x[/tex]

This is represented as:

[tex]D = \left[\begin{array}{cc}2&2\\2&2\end{array}\right][/tex]

Calculate the determinant

[tex]|D| =2 * 2 -2 * 2[/tex]

[tex]|D| = 4-4[/tex]

[tex]|D| = 0[/tex]

The critical point is at local minima

Answer:

Step-by-step explanation:

The solution is : a) area of the semicircle = 76.97 ft^2.

b) Janice wants to put a fringed border on all sides of the carpet : 36ft.

Area is the measure of a region's size on a surface. The area of a plane region or plane area refers to the area of a shape or planar lamina, while surface area refers to the area of an open surface or the boundary of a three-dimensional object.

Here, we have,

given that,

The shape of a carpet is a semicircle.

from the given diagram, we get, the diameter = 14ft

now, we know that,

area of the semicircle = πr²/2

here, we have,

diameter = 14 ft

so, radius = 14/2 = 7 ft

so, area = π*7²

             = 153.94

a.) so, area of the semicircle = 76.97 ft^2

again,  

b) Janice wants to put a fringed border on all sides of the carpet,

so, the perimeter = π r + d

                            = 36ft

Hence, The solution is : a) area of the semicircle = 76.97 ft^2.

b) Janice wants to put a fringed border on all sides of the carpet : 36ft.

To learn more on Area click:

brainly.com/question/20693059

#SPJ2

Answer:

x⁶

Step-by-step explanation:

[tex]\sqrt[3]{x^{18}}=x^{18/3}= x^6[/tex]

Answer:

y1=-6.92

y2=-0.5146

Step-by-step explanation:

Answer:

50 km

Step-by-step explanation:

Given

[tex]r = 4cm : 20km[/tex] -- Scale ratio

Required

Actual representation of 10cm

Let the actual measurement be x.

So, we have:

[tex]r =10cm:x[/tex]

Equate both value s of r

[tex]10cm : x = 4cm : 20km[/tex]

Express as fraction

[tex]\frac{x}{10cm } =\frac{20km}{4cm}[/tex]

Multiply by 10cm

[tex]10cm * \frac{x}{10cm } =\frac{20km}{4cm} *10cm[/tex]

[tex]x =\frac{20km}{4} *10[/tex]

[tex]x =5km *10[/tex]

[tex]x =50\ km[/tex]

Answer:

2/6

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

Answer:

9 km

Step-by-step explanation:

you add the distance Aaron ran

Answer:

1809 in²

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Geometry

Area of a Circle Formula: A = πr²

Step-by-step explanation:

Step 1: Define

Identify

r = 24 in

Step 2: Find Area

Answer:

Area of circular table is 1,809 inches².

Step-by-step explanation:

Area of circular table is given by

Area = π r²

substitute the values

Area = 3.14 × ( 24 inches )²

evaluate the exponent

Area = 3.14 × 576 inches²

multiply the numbers

Area = 1,808.64 inches ²

Round

Area = 1,809 inches²

Answer:

Ok Its not that hard actually

Step-by-step explanation:

but still too much for me plz give brainliest to meee

Answer:

21

Step-by-step explanation:

4x-2=3x+19

4x-3x=19+2

x=21

Answer:

-3x² + 12x + 2

Step-by-step explanation:

[tex]-3(x-2)^2+14\\-3(x-2)(x-2)+14\\-3(x^2-4x+4)+14\\-3x^2+12x-12+14\\-3x^2+12x+2[/tex]