A construction worker is placing rivets in a new bridge. He uses 42 rivets to build the first 32 feet of the bridge. If the bridge is to be 2200 feet in length, predict the number of rivets that will be needed for the entire bridge.​

Answer:

1. YES  2. NO

Step-by-step explanation:

1. Since x=0.121212... and the question is asking for 100x, we need to multiply each side by 100. 0.121212... multiplied by 100 is 12.1212... So YES, 100x is still a repeating decimal.

2. 12.121212... minus 0.121212... would just be 12. This is because if we know that all the numbers behind the decimal point is 0.121212 and so on, 12.121212... minus 0.121212... the numbers behind the decimal would cancel out. So we are left with 12. So NO, the answer for 99x is NOT a repeating decimal.

Given:

The two numbers are

[tex]A=23\times 3\times 5[/tex]

[tex]B=22\times 3\times 52[/tex]

To find:

The highest common factor (HCF) of A and B

Solution:

We have,

[tex]A=23\times 3\times 5[/tex]               ...(i)

[tex]B=22\times 3\times 52[/tex]

All the factors of A are prime but the factors of B are not prime. So, it can be written as

[tex]B=2\times 11\times 3\times 13\times 2\times 2[/tex]          ...(ii)

From (i) and (ii), it is clear that 3 is the only common factor of A and B. So,

[tex]HCF(A,B) = 3[/tex]

Therefore, the highest common factor (HCF) of A and B is 3.

The function (f º g)(x) is 4x⁶ + 1. Option A

A function can be defined as a law, rule or expression that shows the relationship between two variables in an equation.

These variables are called;

From the information given, we have the function;

To determine the composite function, we have to substitute the value of g(x) as x in the function f(x), we have;

(f º g)(x) = (2x³ + 1)²

expand the bracket

(f º g)(x) = 4x⁶ + 1

Hence, the function is (f º g)(x) = 4x⁶ + 1

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Answer:

The first question is C: 4x^6 + 4x^3 + 1

The second question is: f(g(−2)) = 225

Step-by-step explanation:

Got it right on edg.

Answer:

x=-12

x=10

x=-8

x=-5

Step-by-step explanation:

Answer:

1.x=-12

2.x=10

3.x=-8

4.x=-5

Step-by-step explanation:

Given:

Length of a rectangle = (2x+3) units

Width of the rectangle = (x+6) units

To find:

The perimeter and the area of the rectangle.

Solution:

We know that, the perimeter of the rectangle is

[tex]Perimeter=2(Length+Width)[/tex]

[tex]Perimeter=2((2x+3)+(x+6))[/tex]

[tex]Perimeter=2(3x+9)[/tex]

[tex]Perimeter=6x+18[/tex]

The area of rectangle is

[tex]Area=Length\times width[/tex]

[tex]Area=(2x+3)\times (x+6)[/tex]

[tex]Area=2x^2+12x+3x+18[/tex]

[tex]Area=2x^2+15x+18[/tex]

Therefore, [tex]Perimeter=6x+18[/tex] and [tex]Area=2x^2+15x+18[/tex].

Answer:

Your friend complete 1 level per 9 hours.

You complete 5 levels in 45h so you get 1 lv per 9h 45/9=5

Answer:

One property of rectangles is that the diagonals of rectangles bisect each other, meaning 2 of JN is equal to JL.

We can form an equation off of this, 2(x+3) = 3x + 1 and then solve for x    

2(x+3)= 3x + 1                     First, distribute the 2 to each term in x+3,

the result should be:

2x + 6 = 3x+ 1          then subtract 2x from both sides

-2x        -2x

the result should be :

 6 = x + 1             subtract 1 from both sides

-1         -1

the result should be x=5

plug that into the equations and JN= 5+3, JL=15+1

The two correct options are

NM = 8  ( both of the diagonals are equal to eachother )

JL = 16

[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the Concept of the inequalities.

===> -7 + 45m - 35 < 9m - 11

===> 45m - 42 < 9m - 11

===> 45m - 9m < -11 + 42

==> 36m < 31

==> m < 31/36

hence the value of m < 31/36

Answer:

m = 31/36

Step-by-step explanation:

Hope this helps you.

Answer:

An irrational number is a number that can not be written as the quotient of two integer numbers.

Then if we have:

A = a rational number

B = a irrational number.

Then we can write:

A = x/y

Then the product of A and B can be written as:

A*B = (x/y)*B

Now, let's assume that this product is a rational number, then the product can be written as the quotient between two integer numbers.

(x/y)*B = (m/n)

If we isolate B, we get:

B = (m/n)*(y/x)

We can rewrite this as:

B = (m*y)/(n*x)

Where m, n, y, and x are integer numbers, then:

m*y is an integer

n*x is an integer.

Then B can be written as the quotient of two integer numbers, but this contradicts the initial hypothesis where we assumed that B was an irrational number.

Then the product of an irrational number and a rational number different than zero is always an irrational number.

We need to add the fact that the rational number is different than zero because if:

B is an irrational number

And we multiply it by zero, we get:

B*0 = 0

Then the product of an irrational number and zero is zero, which is a rational number.

Answer:

Step-by-step explanation:

To find the slope, you divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points.

Here are the equations you can use to find the slope;

Slope. y2 - y1 / x2 - x1 = slope.

Slope Intercept form. y = mx + b.

Point slope form. y - y1 = m ( x - x1)

Answer:

I would assume 13

Step-by-step explanation:

It is an isosceles triangle and all the angles are the same, so I think it should be 13. I may be wrong, it has been a while since I did geometry.

Answer:

12 miles per hour

Step-by-step explanation:

Answer:

Step-by-step explanation:

WASSUP

Answer:

90

Step-by-step explanation:

Ratio = 6 : 1 : 5

Angles are 6x ,x , 5x

Sum of all the angles of the triangle = 180

6x +x +5x = 180

         12x = 180

            x = 180/12

x = 15

Largest angle = 6x = 6*15 = 90

Answer:

73.5m/s is the average speed

Step-by-step explanation:

147/2=73.5

Answer:

y=-2   x=7

Step-by-step explanation:

uMMMMMMMM I don't know

Answer:

x= 0.7227 in radians

x= 41.4096 in degrees

Step-by-step explanation:

cos(x) = 6/8

Answer: The second one

Step-by-step explanation:

Answer: 1/2 buckets

Step-by-step explanation:

Sarah picked 4¹/₄ buckets of grapes and Nathan picked 3³/₄ buckets.

To find out how much Sarah picked more than Nathan, simply subtract Nathan's buckets from Sarah's.

First convert the fractions to improper fractions:

4¹/₄  = 17/4

3³/₄ = 15/4

As the have the same denominator, you can directly subtract them:

= 17/4 - 15/4

= 2/4

= 1/2 buckets

Answer:

5/4

Step-by-step explanation:

Answer: <B is congruent to <E

Step-by-step explanation:

There is no “angle,angle,angle” theorem when proving triangles are congruent.

There are 5 however that do:

ASA (angle, included side, angle)

SSS (side, side, side)

SAS (side, included angle, side)

AAS (angle,angle, non included side)

HL (hypotenuse,leg)

Answer:

15x - 6

Step-by-step explanation:

(12x -2) -1 (3x+4)

(12x - 2 + 3x-4

12x-2+3x -4

12x -6 + 3x

15x - 6

Answer:

y ≈ 4.3

Step-by-step explanation:

Since the figures are similar then the ratios of corresponding sides are equal, that is

[tex]\frac{AB}{RS}[/tex] = [tex]\frac{ED}{VU}[/tex] , substitute values

[tex]\frac{6}{4}[/tex] = [tex]\frac{8}{y+1}[/tex] ( cross- multiply )

6(y + 1) = 32

6y + 6 = 32 ( subtract 6 from both sides )

6y = 26 ( divide both sides by 6 )

y ≈ 4.3 ( to the nearest tenth )

Answer:

4.3 Is the answer like the value of X in the nearest tenth.

Answer:

Percent (%)' means 'out of one hundred':

p% = p 'out of one hundred',

p% is read p 'percent',

p% = p/100 = p ÷ 100.

91% = 91/100 = 91 ÷ 100 = 0.91.

100% = 100/100 = 100 ÷ 100 = 1.

Decrease number by 91% of its value.

Percentage decrease = 91% × 843

New value = 843 - Percentage decrease

Calculate the New Value

New value =

843 - Percentage decrease =

843 - (91% × 843) =

843 - 91% × 843 =

(1 - 91%) × 843 =

(100% - 91%) × 843 =

9% × 843 =

9 ÷ 100 × 843 =

9 × 843 ÷ 100 =

7,587 ÷ 100 =

75.87

Calculate absolute change (actual difference)

Absolute change (actual difference) =

New value - 843 =

75.87 - 843 =

- 767.13

Proof.

Calculate percentage decrease:

Percentage decrease =

91% × 843 =

91 ÷ 100 × 843 =

91 × 843 ÷ 100 =

76,713 ÷ 100 =

767.13

Step-by-step explanation:

Hope it is helpful....

Answer:

b. 31.

Step-by-step explanation:

The other 2 angles in the triangle are congruent so they are:

(180 - 118) / 2

= 31 degrees.

The possible measure of two similar angles in an isosceles triangle could be b. 31 °

A triangle is a three-sided closed-plane figure formed by joining three noncolinear points. Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.

We know in an isosceles triangle two sides are equal and angles opposite sides to the equal side are also equal.

We also know that the sum of all the interior angles in a triangle is 180°.

Let, The similar angles be 'x'.

Therefore,

x + x + 118 = 180

2x = 62.

x = 31°.

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