if f(x)=35x+25
and g(x)=22x+18
find 5f(4)+2g(10)

Answer:

12 units

Step-by-step explanation:

the perimeter = AB+AC+BC=

3+4+5 = 12

Answer:

12 units

Step-by-step explanation:

AB = 3 units

BC = 5 units

CA = 4 units

Perimeter of triangle,

→ AB + BC + CA

→ 3 + 5 + 4

→ 12 units is the answer.

Answer:

For the triangle, its area is 32.1 inches.

For the trapezoid, its area is 170 feet.

Step-by-step explanation:

The formula for finding the area of a triangle is A = h * b/2, where h is for height and b is for base. There seems to be two measurements at the base of the triangle so what I did is I added together 3.5 and 7.2 and got 10.7. The slant measurement of the triangle isn't important in this formula so just pretend 5.5 in isn't there. Multiply 10.7 (base) to 6 (height) and you'll get 64.2. Now divide the product by 2 and you'll get 32.1 inches as the area of the triangle.

The formula for finding the area of a trapezoid is A = ((a + b)/2)h, where a is base A, b is base B, and h is the height. This formula looks a bit complicated but if you know a bit of PEMDAS, then you'll understand the formula. Again, there are two measurements at the base of the trapezoid but simply, I added them to get 24 and the slants don't make any use for this formula either. Add 10 (base A) and 24 (base B) to get 34. Now divide 34 by 2 and you'll get 17. Finally, multiply the product to 10 (height) and you'll get 170 feet as the area of the trapezoid.

If you don't know PEMDAS, just comment something related to "Can you explain what PEMDAS is?" or "What is PEMDAS?" and I will answer your question as quick as I possibly can. I hope this helps!

Answer:

26 papers

Step-by-step explanation:

Well this is pretty straight forward

if he can grade 6 papers an hour

we just multiply 6 by 7 to get how many papers he graded in 7 hours

6*7= 42

now we subtract 42 from 68 to get how many papers are left to be graded

68-42=26

26 papers are left

Answer:

10x+ y

Step-by-step explanation:

The unit's digit is y and the ten's digit is x.

The ten's digit has a zero placed beside it .

So multiply x by 10  giving 10 x and then add the unit's digit .

This wil give 10x+ y

The number is 10 x + y

This can be elaborated through the use of numbers . Suppose we have unit's digit as 6 and the ten's digit as 5.

Multiply 10 by 5 and add 6

5*10 +6= 50+6= 56

Answer:

a. y= f(x-1)

Step-by-step explanation:

___________

Answer:

36

Step-by-step explanation:

5(4)+16=20+16=36

Answer:

35

Step-by-step explanation:

The 14 sweets Peter gets is 2 parts of the ratio, then

14 ÷ 2 = 7 ← number of sweets in 1 part of the ratio , then

5 parts = 5 × 7 = 35 ← number of sweets Bridget gets

Answer:

153.9

Step-by-step explanation:

14/2=7 which is the radius which you square and it results to 49. multiply that times pi for 153.86 or 153.9 to the nearest tenth.

Answer:

153.9

Step-by-step explanation:

We know that the equation to find the area of a circle in [tex]\pi r^2\\[/tex]. So we divide the diameter by half and we plug in the radius.

Answer:

C. 69.1

Step-by-step explanation:

Circumference formual = 2pi r

2 × 3.14 × 11

69.1cm

The circumference of the circle is 69.1 cm.

The circumference of a circle refers to the measure of its boundary. If we open a circle and measure the boundary just like we measure a straight line.

Given that a circle with radius 11 cm, we need to find the circumference of the circle,

Circumference = π × 2 × radius

= 3.14 × 2 × 11

= 69.1 cm

Hence, the circumference of the circle is 69.1 cm.

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Answer:

x=34[tex]\sqrt{2}[/tex]

y=34[tex]\sqrt{3}[/tex]

Step-by-step explanation:

Answer:

52

Step-by-step explanation:

If JK bisects the angle, the two angles are equal

6x+2 = 8x-6

Subtract 6x from each side

6x-6x+2 = 8x-6x-6

2 = 2x-6

Add 6 to each side

2+6 =2x-6+6

8 =2x

Divide by 2

8/2 =2x/2

4 =x

Now find angle LJM, which is the sum of the two angles

6x+2 + 8x-6

14x -4

14*4-4

56-4

52

Answer:

D) 52

Step-by-step explanation:

since htere is an angle bisector that means that (6x+2) and (8x-6) are equal to each other

so

(6x+2)=(8x-6)

-6x         -6x

2=2x-6

+6    +6

8=2x

/2 /2

x=4

no you plug x back into one of the equations so

6(4)+2=26

now 26x2=52

Answer:

35

Step-by-step explanation:

sdfghjkolkgdsdfghjkl

The possible number of the group the movies will be 840.

Permutation and combination are counting principles that are used in a variety of situations. A permutation is a count of the various arrangements that can be made from a given set of items. Details matter in permutation because the order or sequence is important.

Given that there are 7 movies that Christine wants to see over winter break. She only has time to see 4 of the movies.

The combinations will be calculated as:-

Combination = ⁷C₄

Combination = ( 7 x 6 x 5 x 4 )

Combination = 840

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Answer:

-1/2

Step-by-step explanation:

y2-y1/x2-x1 is the formula

-2-(-1)/-6-(-8) = -1/2

Hope this helps.

Answer:

The answer would be D, hope this helps

Answer:

65 cm

Step-by-step explanation:

16^2 x 63^2 = 65^2

Answer:

I'm pretty sure it is D since all the other ones are maximum value parabolas (and the questions asks for a minimum) other than D.

Answer:

b is correct

Step-by-step explanation:

Answer:

98 π R

Step-by-step explanation:

Surface area of sphere = 4 π R²

= 2 π R × 2 R

= 49 π × 2 R

= 98 π R

e

measure of center

as A measure that describes the typical value of a data set mean,median and mode.

Answer:

3a(c + 2b - 5)

Step-by-step explanation:

Step-by-step explanation: The greatest common factor for the 3 terms here is 3a so factor out a 3a and what we're left with inside the parentheses is each of the terms in the original polynomial divided by 3a.

So we have 3a(c + 2b - 5) which is our final answer.

Answer:

A = 7

Step-by-step explanation:

√50 = 7.07

approximating it will give you

= 7

Answer:

15

Step-by-step explanation:

The length of BC=20cm I think

Answer:

13+8=21 in 8 years

13+y=blank years for now

hope this helps

have a good day  :)

Step-by-step explanation:

Answer:

60 degree

Step-by-step explanation:

a hexagon has a total sum of angles equal to 720

720/6 = 120

180-120 = 60

Answer:

Independent  [tex]\to[/tex]  Domain

Dependent [tex]\to[/tex] Range

Step-by-step explanation:

Required

Fill in the gaps

A function is represented as:

[tex]y = f(x)[/tex]

Where, x represents the set of input values (or the domain) and y, the set of output values (or the range).

Since the input values are represented by x, they are referred to as the independent variables while the output values are referred to as the dependent values because they depend on the x values for their output.

9514 1404 393

Answer:

  4

Step-by-step explanation:

Consider the arcs PQ and P'Q. When turns are made without slipping, these have the same measure. The length of arc PQ is ...

  PQ = CP·θ

The length of arc P'Q is ...

  P'Q = O₂Q·(∠PO₂Q)

Segment O₂A is parallel to CP, so angle AO₂Q is θ. Then ∠PO₂Q = θ+α, where α is the angle by which P' has rotated counterclockwise from A.

We are given that ...

  CP = 5, O₂Q = 1

Using the above relations, we can write ...

  5θ = 1(θ+α)

  α = 4θ

That is, for every full turn θ = 2π, the smaller circle makes turns totalling 4(2π) = 8π, or 4 full turns.

The small circle makes 4 revolutions to arrive at its starting point.

Slope:  

2

3

y-intercept: (0,−6)xy0−63−4

Answer:

B

Step-by-step explanation:

You just substitute the values in for A and B and then you simplify

The 10 A would be 10x17 which is 170 and then plus B, which we know is 12, so it would equal 182

hope this helped

Answer:

182

Step-by-step explanation:

First, plug in 17 for a

10·17+b=170+b

Then plug in 12 for b

170+12=182

There you go!

182

Answer:

8.6cm

Step-by-step explanation:

V = 4/3 pi r^3 = 334, solve for r = 4.30

double for diameter = 8.61

Step-by-step explanation:

you can see there

just click the photo