The function f(x) = 3(1.7)x gives the length (in inches) of an image after being enlarged by 10% x times. What is the length of the image after it has been enlarged 4 times? Round your answer to the nearest hundredth.

Answer:

10x − (x − 2) = 2x − (40 + x).

The missing number is 40.

Step-by-step explanation:

Let the missing number be a, Then:

10x - (x - 2) = 2x - (a + x)

10x - x + 2 = 2x - a + x

9x - 2x - x = -a - 2

6x = -a - 2

When x = -7:

6(-7) = - a - 2

-42 + 2 = -a

-40 = -a

a = 40.

So the equation is

10x − (x − 2) = 2x − (40 + x).

Answer:

the digit in the ten thousandths place is 1

Step-by-step explanation:

Answer:

1 is the digit that is in the ten thousandth place

Step-by-step explanation:

can i get brainlisest

Answer:

start root 1.5 EndRoot

Answer:

d

Step-by-step explanation:

Answer:

please add an image my bro

Step-by-step explanation:

we cant answer without knowing what it looks like

Answer:

answer my questions also

Step-by-step explanation:

Answer:

[tex] m\angle BOA = 80\degree[/tex]

Step-by-step explanation:

PA and PB are tangents to the circle with center O at points A and B respectively.

[tex]\therefore OA \perp PA\:\: \& OB \perp PB....(\because tangent\perp radius)\\\therefore m\angle OAP=m\angle OBP = 90\degree\\m\angle APB = 100\degree\\OAPB \: is \: a\: quadrilateral\\\therefore m\angle APB+m\angle OAP+m\angle OBP+m\angle BOA = 360\degree\\\therefore 100\degree + 90\degree+ 90\degree+ m\angle BOA = 360\degree\\\therefore 280\degree + m\angle BOA = 360\degree\\\therefore m\angle BOA = 360\degree-280\degree \\\huge\red{\boxed{\therefore m\angle BOA = 80\degree}}[/tex]

If a number is multiplied by 1/2, this means that it strinks 2 times.

For example, we have the radius of 4.

If multipled by 1/2, we get 2.

So, the radius is now 2 times smaller than the original radius.

So, the radius of the sphere will be 2 times smaller than what it originally was.

Best of Luck!

Answer:

midpoint of chord ab is (-2, 12) slope of chord ab is 1/2

Step-by-step explanation:

Answer:

9n + 13

Step-by-step explanation:

(54n + 78)/6

Divide 6 from all terms within the parenthesis:

(54n)/6 = 9n

(78)/6 = 13

9n + 13 is your answer.

~

Answer: 54n+13

Simplify

78÷6=13

54n+78/6=54n+13

Answer:

278

71.5 for triangles

Step-by-step explanation:

Because 32 + 45 = 82

its a circle so a circle is 360 degrees

so 360 - 82 =

278

Triangles: 180 - 37 then 143 ÷ 2 = 71.5

Your welcome!!

Answer:

1/4

Hope its correct, if so. pls mrk as brainliest

Answer:

f(3) = 3

Step-by-step explanation:

f(x) = 2x^2 – 5x

Let x = 3

f(3) = 2(3)^2 - 5(3)

      = 2*9 -15

      = 18-15

      =3

Answer:

f(3)=3

Step-by-step explanation:

This question asks us to find f(3). We want to find what f(x), or y is, when x is equal to 3.

f(x)=2x^2-5x

Substitute 3 in for x.

f(3)=2(3)^2-5(3)

Solve according to PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition, Subtraction

Evaluate the exponent first. 3^2 is the same as 3*3, which is equal to 9.

f(3)=2(9)-5(3)

Multiply 2 and 9

f(3)=18-5(3)

Multiply 5 and 3

f(3)=18-15

Subtract 15 from 18

f(3)=3

Answer:

185.714% increase

Step-by-step explanation:

Solution:

Calculate percentage change

from V1 = 14 to V2 = 40

(2−1)|1|×100

=(40−14)|14|×100

=2614×100

=1.85714×100

=185.714%change

=185.714%increase

Answer:

top lines of explanation

Step-by-step explanation:

at the secretary job she made 12.75 an hour

second job she made 13.50 an hour

180 minutes is 3 hours divide 40.50 by 3 and get 13.50

102.00 divided by 8 is 12.75

Step-by-step explanation:

8 hours = 102.00

1 hour = 102 ÷ 8 = 12.75

180 min = 3hr

3hr = 40.50

1hr = 40.50 ÷ 3 = 13.5

2nd job

Answer:

85.714285 reapeating

Step-by-step explanation:

Answer:Answer B

Step-by-step explanation:

You get more money that way.

Answer:

D

Step-by-step explanation:

Each input can not have 2 outputs or else it’s not a function. 2 maps to 21 and 42. It MPs to two outputs. It’s not a function

Answer:

The height of the tower = 24 units.

Explanation:

In the question above, we are given the following variables.

The total number of blocks used = 312 blocks

The bottom layer( base of the tower) = 13 blocks

We are to find how tall the tower is = height of the tower = unknown.

The total number of blocks used = Volume of the tower = 312 cubic units(blocks)

Area of the base = number of the blocks used in the bottoms layer = 13 square units( block).

Because blocks are used, we assume that this is a Rectangular based prism

The Volume of a Rectangular based prism = Area of the base × h

312 = 13 × h

h = 312 cubic units ÷ 13 square units.

h = 24 units.

There fore, the height of the tower = 24 units

Answer:

0.8

Step-by-step explanation:

Solution:

0.8

Step by step explanation:

1) (0- 8/10) - (0-8/5)

2) Simplfy. 4/5

3) (0-4/5) - (-8/5)

4) (-4) - (-8)/5 = 4/5

Final result: 4/5= 0.8000

e). 60

f). [tex]\frac{4}{9}[/tex]

Answer:

£17.51

i used try and error

Answer:

see below

Step-by-step explanation:

2 1/2+ 3 3/16 + 7/8

Get a common denominator of 16

2 8/16 + 3 3/16 + 14/16

5 25/16

5 + 16/16 + 9/16

6 9/16

Subtract this from 8 ft

8 - 6 9/16

Borrow 1 from 8 in the form of 16/16

7 16/16 - 6 9/16

1 7/16

b  1 7/16 - 1 1/3

The common denominator is 48

1 21/48    - 1 16/48

5/48

Answer:

2a)   [tex]1\frac{7}{16}[/tex]

2b)   [tex]\frac{5}{48}[/tex]

Step-by-step explanation:

The first thing we need to do is add all the fractions together so,

2a)      [tex]2\frac{1}{2} +3\frac{3}{16}+\frac{7}{8}[/tex]

We need to find the LCM of the denominators in order to properly add the fractions together so the LCM is 16

[tex]2\frac{1}{2} +3\frac{3}{16}+\frac{7}{8}[/tex]   =  [tex]2\frac{8}{16} +3\frac{3}{16} +\frac{14}{16} = 5\frac{25}{16} =6\frac{9}{16}[/tex]

Now we subtract this from 8 as asked in the question,

[tex]8-6\frac{9}{16} =\frac{8}{1} -\frac{105}{16} =\frac{128}{16} -\frac{105}{16}=\frac{23}{16} =1\frac{7}{16}[/tex]

2b) We are asked to minus the fraction   [tex]1\frac{7}{16}[/tex]   from    [tex]1\frac{1}{3}[/tex]

Find the common denominator which is 48

[tex]1\frac{7}{16} -1\frac{1}{3} =1\frac{21}{48} -1\frac{16}{48} =\frac{5}{48}[/tex]

Answer:

Find roots of x4−81=0 by solving for x. x=3,−3

Step-by-step explanation:

The given equation [tex]x^4[/tex] - 81 = 0 has a total of two real roots x = 3 and

x = -3.

We have,

The given equation [tex]x^4[/tex] - 81 = 0 can be factored as a difference of squares:

[tex](x^2)^2 - 9^2 = 0\\(x^2 - 9)(x^2 + 9) = 0[/tex]

Further simplifying:

(x - 3)(x + 3)(x² + 9) = 0

From this factorization, the equation has two linear factors (x - 3) and

(x + 3) and one quadratic factor (x² + 9).

The linear factors, (x - 3) and (x + 3), will each provide one real root since they are linear equations.

x = 3 and x = -3.

The quadratic factor (x² + 9) has no real roots.

This is because the discriminant (b² - 4ac) of the quadratic equation is negative (a = 1, b = 0, c = 9), indicating that there are no real solutions.

Therefore,

The given equation [tex]x^4[/tex] - 81 = 0 has a total of two real roots,

x = 3 and x = -3.

Learn more about equations here:

https://brainly.com/question/17194269

#SPJ4

Answer:

d = 32 m

General Formulas and Concepts:

Symbols

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Geometry

Area of a Circle Formula: A = πr²

Radius Formula: [tex]\displaystyle r = \frac{d}{2}[/tex]

Step-by-step explanation:

Step 1: Define

Identify variables

A = 256π m²

Step 2: Derive

Rewrite formula

Step 3: Solve for d

Answer:

20

Step-by-step explanation:

Area = ((7+3) x 4) ÷ 2 = 20

Answer:

9.2

Step-by-step explanation:

Answer:

see explanation

Step-by-step explanation:

The triangular prism has 3 rectangular faces and 2 congruent triangular faces.

rectangular base CDEF = 8 × 2 = 16 cm²

rectangular side ABFE = 6 × 2 = 12 cm²

sloping rectangle ABCD = 10 × 2 = 20 cm²

2 triangular faces = 2 × [tex]\frac{1}{2}[/tex] × 8 × 6 = 48 cm²

Total surface area = 16 + 12 + 20 + 48 = 96 cm²

----------------------------------------------------------------------

The volume (V) of the prism is calculated as

V = Bh ( B  is the area of triangular face and h the depth of the prism )

B = [tex]\frac{1}{2}[/tex] × 8 × 6 = 24 cm² and h = 2 cm

V = 24 × 2 = 48 cm³

Answer:

27/28

Step-by-step explanation:

This question is incomplete because it lacks the appropriate diagram.

Please find attached to this answer , the appropriate diagram

Answer:

First option tan x° = 8 ÷6

Step-by-step explanation:

When we solve for angles in a right angled triangle or we are trying to find one if the sides of a right angled triangle, we used trigonometric functions to find our answers. These trigonometric functions include Sine (sin) , Cosine (cos) and Tangent (tan)

Tangent also called short form tan is used when solving problems involving a right angled triangle.

A right angled triangle has 3 sides, the Hypotenuse, the opposite side and the adjacent side.

When we are asked to find the tangent of an angle,

tan = Opposite side / Adjacent side

In the question above, we are asked to find tan x° where x is the angle.

The opposite side = 8cm

The adjacent side = 6cm

Therefore, tan x° = 8cm/6cm = 8cm ÷ 6cm

Answer:

Area of Regular Polygon: ( About ) 716.6 m^2; Option B

Step-by-step explanation:

~ In this situation we can apply the formula 1/2 * a * P, provided a ⇒ apothem, and P ⇒ Perimeter of the shape ~

Here we are not directly provided with the apothem, so we have to first plan out our procedure step-by-step:

Let us first divide this dodecagon into 12 triangles, each equilateral provided that this is a regular polygon ( implied ). Now let us draw an altitude to one of these triangles, and provided these are equilateral triangles Coincidence Theorem can be applied to this specific triangle. That would mean this altitude is both an angle bisector and a median, which can help us determine the tan degree of the mini triangle formed by the altitude, and the length of one of the sides of this mini triangle.

1. Knowing that the altitude splits the base of the triangle into the two congruent parts ⇒ one of the congruent parts should be ⇒ 8/2 = 4 meters

2. Now the triangles formed through spliting this figure are all ≅, so one of the angles of the triangle is 360/12 = 30 degrees. The mini triangle formed should thus have a measure of 30/2 as the altitude is an angle bisector ⇒ tan 15.

3. From this you can create a proportion, with a  ⇒ apothem:

tan 15/ 1 = 4/a ⇒ tan 15 * a = 4 ⇒ a = 4/tan 15° ⇒ a = ( About ) 14.93

4. The perimeter of this shape would be 8 * 12 ⇒ 96 meters

5. Now let us solve for the area of this regular polygon through substitution into the formula 1/2 * a * P ⇒ 1/2 * 14/93 * 96 = ( About ) 716.64 meters^2

Answer ⇒ Area of Regular Polygon: ( About ) 716.6 m^2