Write 5 3/7 as an improper fraction.

Answer:

Step-by-step explanation:

First, we can figure out how many additional inches of rope are needed.  If there are 8 knots, 16 additional inches will be needed. Peter would need 9 feet 4 inches of rope, or 112 inches.

The formula for finding the length of the rope needed would be 8+2n.

Hope this helps!

Answer:

112 inches

Step-by-step explanation:

Each knot needs 2 inches of rope

There are 2 knots

2*8 = 16 inches

He wants 8 ft from the ground, but he wants it in inches

8 ft* 12 inches per foot = 96 inches for the rope

96+ 16 =112 inches of rope

Answer:

9

Step-by-step explanation:

because the angle is 45 deg, it is 1/8 of the full circle

the arc it intercepts will also be 1/8 the circumference of the full circle

72*1/8=9

Answer:

Hi there!!

The answer would be x=20 and y= 10 root 3 or on decimal it's 17.32.

explanation look in picture, alright.

I hope it will help u....

Answer:

x = 20

y = 10√3 or 17.3

Step-by-step explanation:

This is a special 30° 60° 90° right triangle

In this special triangle if the side length that sees 30° is represented by x and its given as 10 the side length that sees 90° would be twice of it so it's represented by 2x = 20 and the side length that sees 60° is x√3 = 10√3

Answer:

43/8

Step-by-step explanation:

5*8=40

40+3=43

There are 8 slices per pizza so the answer would be 43/8

Answer:

18

Step-by-step explanation:

3/4 of 24 is 18

Explanation:

The area of a semicircle is given by ...

  A = πr^2/2

where r is the radius. Here, we're given diameters, so in terms of diameter, the area of a semicircle is ...

  A = π(d/2)^2/2 = (π/8)d^2

__

The area of the semicircle with diameter AC is ...

 white area = (π/8)AC^2

The area of the semicircle with diameter BC is ...

  left semicircle area = (π/8)BC^2

And the area of the semicircle with diameter AB is ...

  right semicircle area = (π/8)AB^2

__

We can use the relationship between the areas to find the shaded area:

  triangle area + left semicircle area + right semicircle area =

     white area + shaded area

Then the shaded area is ...

  shaded area = triangle area + left semicircle area + ...

     right semicircle area - white  area

__

Filling in the values for area from above, we have ...

  shaded area = triangle area+ (π/8)BC^2 +(π/8)AB^2 -(π/8)AC^2

  shaded area = triangle area + (π/8)(BC^2 +AB^2 -AC^2)

From the Pythagorean theorem, we know that ...

  AC^2 = BC^2 +AB^2

Substituting this into the above equation gives ...

  shaded area = triangle area + (π/8)((Bc^2 +AB^2 -(BC^2 +AB^2))

  shaded area = triangle area + 0 . . . . simplify

  shaded area = triangle area

Answer:

Consecutive angles in a parallelogram are, D supplementary.

Step-by-step explanation:

Consecutive angles in a parallelogram will always sum to 180 degrees.

Answer:

Supplementary

Step-by-step explanation:

Correct answer in Ap3x. Just took the quiz.

Complete question :

In its first year of operations, Roma Company reports the following. Earned revenues of $53,000 ($45,000 cash received from customers). Incurred expenses of $29,500 ($23,050 cash paid toward them). Prepaid $8,750 cash for costs that will not be expensed until next year. calculate the first year's net income under both the cash basis and the accrual basis of accounting.

Answer:

Kindly check explanation

Step-by-step explanation:

Given the following :

Earned revenue = $53,000

Cash received from customers = $45000

Incurred expenses = $29,500

Cash paid towards incurred expenses = $23,050

Cash which will not be expensed till next year = $8,750

Cash Accounting:

Cash received $45,000

Expenses ($23,050 + $8750) = $31,800

Net Income $(45,000 - 31,800) = $13,200

Accrual Accounting :

Revenue earned $53,000

Expenses incurred $29,500

Net income $(53,000 - 29,500) = $23500

Answer:

V = 32 in^3

Step-by-step explanation:

The area of the triangle is (1/2)(base)(height), which here comes to:

                                                (1/2)(4 in)(8 in) = 16 in^2.

The volume is (16 in^2)(height) =  (16 in^2)(2 in) = 32 in^3

Answer:

b = 30

Step-by-step explanation:

-5=-1/6b

Multiply each side by -6 to isolate b

-5 * -6 = -6 * -1/6 b

30 = b

Answer:

D

Step-by-step explanation:

cas if x =1

then 1^2>or=1

1is not >or=1

Answer:

slope: 1.) 2 ,,, 2.) 3/4

y-int: 1.) (0,3) ,,, 2.) (0,-2)

graph: attached in pictures/ blue line represents y=2x+3 ,,, red line represents y=3/4-2

Step-by-step explanation:

Answer:

Given that 1 and 4 are vertical asymtotes we have;

(a) -∞

(b) +∞

(c) +∞

(d) -∞

Step-by-step explanation:

(a) For the function;

[tex]\lim_{x\rightarrow 4^{-}}\left (\dfrac{2\cdot x^{2}+13\cdot x+20}{x^{2}-5\cdot x+4} \right )[/tex]

We have the denominator given by the expression, x² - 5·x + 4 which can be factorized as (x - 4)(x - 1)

Therefore, as the function approaches 4 from the left [lim (x → 4⁻)] gives;

[tex]\lim_{x\rightarrow 4^{-}}\left (\dfrac{2\cdot x^{2}+13\cdot x+20}{(x - 1)\cdot (x - 4)} \right )[/tex] [tex]\lim_{x\rightarrow 4^{-}}\left (\dfrac{2\cdot x^{2}+13\cdot x+20}{(3.999 - 1)\cdot (3.999 - 4)} \right )[/tex] [tex]\lim_{x\rightarrow 4^{-}}\left (\dfrac{2\cdot x^{2}+13\cdot x+20}{(2.999)\cdot (-0.001)} \right )[/tex][tex]=- \infty[/tex]

(b) Similarly, we have;

[tex]\lim_{x\rightarrow 4^{+}}\left (\dfrac{2\cdot x^{2}+13\cdot x+20}{x^{2}-5\cdot x+4} \right )[/tex]

We have the denominator given by the expression, x² - 5·x + 4 which can be factorized as (x - 4)(x - 1)

Therefore, as the function approaches 4 from the right [lim (x → 4⁺)] gives;

[tex]\lim_{x\rightarrow 4^{+}}\left (\dfrac{2\cdot x^{2}+13\cdot x+20}{(x - 1)\cdot (x - 4)} \right )[/tex] [tex]\lim_{x\rightarrow 4^{+}}\left (\dfrac{2\cdot x^{2}+13\cdot x+20}{(4.0001 - 1)\cdot (4.0001 - 4)} \right )[/tex] [tex]\lim_{x\rightarrow 4^{+}}\left (\dfrac{2\cdot x^{2}+13\cdot x+20}{(3.0001)\cdot (0.0001)} \right )[/tex][tex]= +\infty[/tex]

(c)

[tex]\lim_{x\rightarrow 1^{-}}\left (\dfrac{2\cdot x^{2}+13\cdot x+20}{x^{2}-5\cdot x+4} \right )[/tex]

We have the denominator given by the expression, x² - 5·x + 4 which can be factorized as (x - 4)(x - 1)

Therefore, as the function approaches 1 from the left [lim (x → 1⁻)] gives;

[tex]\lim_{x\rightarrow 1 ^{-}}\left (\dfrac{2\cdot x^{2}+13\cdot x+20}{(x - 1)\cdot (x - 4)} \right )[/tex] [tex]\lim_{x\rightarrow 1^{-}}\left (\dfrac{2\cdot x^{2}+13\cdot x+20}{(0.999 - 1)\cdot (0.999 - 4)} \right )[/tex] [tex]\lim_{x\rightarrow 4^{+}}\left (\dfrac{2\cdot x^{2}+13\cdot x+20}{(-0.001)\cdot (-3.001)} \right )[/tex][tex]=+ \infty[/tex]

(d) As the function approaches 1 from the right [lim (x → 1⁺)]

We have;

[tex]\lim_{x\rightarrow 1^{+}}\left (\dfrac{2\cdot x^{2}+13\cdot x+20}{(1.0001 - 1)\cdot (1.0001 - 4)} \right )[/tex]= [tex]\lim_{x\rightarrow 1^{+}}\left (\dfrac{2\cdot x^{2}+13\cdot x+20}{(0.0001)\cdot (-2.999)} \right ) =- \infty[/tex]

Answer:

The answer is D.

Answer: D) (-2)*2 - (-8) +1

Step-by-step explanation:

w = -2.

so the w2 is equal to -2*2

v = -8

so -v + 1 = -(-8) + 1

Put it together and you get (-2)*2-(-8)+1

the parentheses are needed for the first -2 because other wise it'd be -(2*2) instead of (-2)*2

Answer:

1/5, 1/18, and 1/-3

Step-by-step explanation:

a reciprocal reverses a fraction

for example:

5=5/1

reciprocal=1/5

hope this helps:)

Answer:

1/5, 1/18, -1/3

Step-by-step:

The simple answer is just to to make that number under one.

Example: 5 is the reciprocal then 1/5 was the start number. Vise-versa. Hope this helps!

Answer:

b

Step-by-step explanation:

Answer:

The answer is B.

Step-by-step explanation:

Answer:

A) [tex]4x^5-4x^4-16x^2+16x[/tex]

B) [tex]4x^4-4x^3-16x^2+16x[/tex]

Also, maybe that vertically means:

A) [tex]4x^2 \cdot x^3[/tex]    and [tex](-4x) \cdot (-4)[/tex]

Resulting in [tex]4x^5+16x[/tex]

B) [tex]x^2 \cdot 4x^2[/tex]    and  [tex]x \cdot (-8x)[/tex]  and [tex]-2 \cdot 0[/tex]

Resulting in [tex]4x^4-8x^2[/tex]

Step-by-step explanation:

It seems that you want to multiply the polynomials in this way: [tex](\text{Polynomial - 1})\cdot(\text{Polynomial - 2})[/tex]

A)

[tex]4x^2-4x[/tex]

[tex]x \cdot x^2 -4[/tex]

[tex](4x^2-4x)(x \cdot x^2 -4)=(4x^2-4x)(x^3 -4)[/tex]

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

[tex]4x^5-16x^2-4x^4+16x[/tex]

[tex]4x^5-4x^4-16x^2+16x[/tex]

B)

[tex]x^2+x-2[/tex]

[tex]4x^2-8x[/tex]

[tex](x^2+x-2)(4x^2-8x)[/tex]

[tex]4x^4-8x^3+4x^3-8x^2-8x^2+16x[/tex]

[tex]4x^4-4x^3-16x^2+16x[/tex]

Answer:

The answers are as follows.

Step-by-step explanation:

Expressions:

Computation:

Product of 2 and x is 14

2(x) = 14

x = 7

6 added with a number gives 14

6+x = 14

x = 8

The product of six and a gives 12

6(a) = 12

a = 2

12 divided by y gives 2

12 / y = 2

y = 6

6 subtract from a number and get 12

x - 6 = 14

x = 20

Answer:

A. 5x>20

Step-by-step explanation:

Because the company has to produce more than 20 fixtures you need  greater than 20 and you have 5 machines time the number they produce.

Hope this helps, if it does please mark brainliest!!

Answer:

6.

Step-by-step explanation:

When b^3 is multiplied by b^3, the bases are the same (b). That means that the exponents are added to each other. 3 + 3 = 6, so b^3 * b^3 = b^6.

Hope this helps!

Answer:

6

Step-by-step explanation:

b³ · b³ = ( b³ )² = b⁽³⁾⁽²⁾ = b⁶

hence the exponent is 6

Answer:

10m

Step-by-step explanation:

We can set up an equation to solve this.

[tex]\frac{20}{25} =\frac{8}{x}[/tex]

This equation can be created since we are given two similar sides of both triangles.

Now, cross multiply and simplify to solve for [tex]x[/tex].

[tex]20x=200\\x=10[/tex]

The answer is sensible, and if you put 10 into the same equation from earlier, you will see that it is accurate.

Therefore, the value of [tex]x[/tex] is 10m.

Answer:

Jared attempted 60 shots.

Zach attempted 70 shots.

Step-by-step explanation:

Answer:

The upper bound on the length of a randomly chosen nail from all nails manufactured by the company is 2.004 cm.

Step-by-step explanation:

According to the Central Limit Theorem if we have an unknown population with mean μ and standard deviation σ and appropriately huge random samples (n > 30) are selected from the population with replacement, then the distribution of the sample mean will be approximately normally distributed.  

Then, the mean of the sample means is given by,

[tex]\mu_{\bar x}=\bar x[/tex]

And the standard deviation of the sample means (also known as the standard error) is given by,

[tex]\sigma_{\bar x}=\frac{\sigma}{\sqrt{n}}[/tex]

In this case the sample of nails selected is quite large, i.e. n = 100 > 30.

So, the sampling distribution of sample mean length of nails will be approximately normal.

Then according to the Empirical rule, 95% of the normal distribution is contained in the range,

[tex]\mu\pm 2\cdot \frac{s}{\sqrt{n}}[/tex]

Compute the upper bound as follows:

[tex]\text{Upper Bound}=\mu\pm 2\cdot \frac{s}{\sqrt{n}}[/tex]

                     [tex]=2+(2\times\frac{0.002}{\sqrt{100}})\\\\=2+0.0004\\\\=2.004[/tex]

Thus, the upper bound on the length of a randomly chosen nail from all nails manufactured by the company is 2.004 cm.

Answer:

A. z/y

Step-by-step explanation:

Because the trig ratios are; tangent : opp/adj cos : adj/hyp sin : opp/hyp

because tan of x is z/10, z must be opposite

and because cos of x is 10/y, then y must be the hypotenuse

this means sin of x must be z/y

Answer:

A. sin x = z/y

Step-by-step explanation:

Answer:

please mark my answer as the brainliest

Step-by-step explanation:

AREA = 1/2 * (b1+b2)h

A = 1/2 * (8+18)13.5

therefore area = 175.5cm^2

Answer:

Area = 1/2 * (B1+B2)hH

A = 1/2 * (8+18)13.5

Therefore the area = 175.5cm^2

Answer:

A.

Step-by-step explanation:

If x=5

5 + 10 is less than 25.

If x=15

15+10 is equal to 25

If x =20

20+10 is greater than 25

Answer:

true bc i am smart

Answer:

Step-by-step explanation:

Answer:

(4,-1)

Step-by-step explanation:

The required coordinate of J is (1, 4). Hence the option c is correct.

Rectangle JKLM is rotated 90° clockwise about the origin.
On a coordinate plane, rectangle J K L M has points (negative 4, 1), (negative 1, 1), (negative 1, negative 1), (negative 4, negative 1).

Rectangle is four sided polygon whose opposites sides are equal and has angle of 90° between its sides.

While rotating the rectangle about origin clock wise, the new coordinates forms of  rectangle J K L M has points  ( 4, 1), (1, 1), (negative 1,  1), (negative1 ,  4).

Thus, the required coordinate of J is (1, 4).

Learn more about rectangles here:
https://brainly.com/question/16021628

#SPJ2

Answer:

C: Jason’s camp counselor job pays a higher hourly rate than Mia’s lifeguard job.

Step-by-step explanation:

given:

y = 9x for Jason

For Mia

Tue  Thu  Sat

6       8      5

Tuesday : 52.50 for 6 hyours   => 8.75 / hour

Thursday :  70.00  for 8 hours  => 8.75 / hour

Saturday :   43.75 for 5 hours   => 8.75 / hour

Solution:

Therefore Mia makes 8.75 / hour

False : The two jobs pay the same hourly rate.

False : The comparison cannot be made with the information given.

True : Jason’s camp counselor job pays a higher hourly rate than Mia’s lifeguard job.

False : Jason’s camp counselor job pays a lower hourly rate than Mia’s lifeguard job.

Answer: C Jason’s camp counselor job pays a higher hourly rate than Mia’s lifeguard job.

Step-by-step explanation: