A 30-sided regular polygon has an angle measure represented as 6g°. Determine the value of g.
g = 30
g = 28
g = 180
g = 168

The phrase asked: [tex]\ln5\sqrt{55}[/tex]

if ln5=a and ln11=b:

 [tex]\ln5\sqrt{55} =\\\\ \ln5+\ln(55)^{\dfrac{1}{2}}=\\\\\\ \ln5+\dfrac{1}{2}(\ln55)=\\\\\\ \ln5+\dfrac{1}{2}(\ln5.11)=\\\\\\ \ln5+\dfrac{1}{2}(\ln5+\ln11)=\\\\\\ a+\dfrac{1}{2}(a+b)= \dfrac{1}{2}(3a+b)[/tex]

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theorem 1:

[tex]\ln(x.y)= \ln x + \ln y[/tex]

theorem 2:

[tex]\log_a{x^n} = n \cdot \log_a{x}[/tex]

Answer:

[tex] \huge{ \boxed{y = 4x + 10}}[/tex]

Step-by-step explanation:

The equation of a line in slope-intercept form is given by

[tex] \bold{y = mx + c}[/tex]

where

m is the slope

c is the y intercept

From the question

m = 4

In order to find c we substitute the point (−3,−2) into the equation y = mx + c

We have

[tex] - 2 = 4( - 3) + c \\ - 2 = - 12 + c \\ c = - 2 + 12 \\ c = 10[/tex]

We now substitute m and c into the equation

We have the final answer as

[tex] \bold{y = 4x + 10}[/tex]

Hope this helps you

Answer:

Domain: (negative infinity, positive infinity)

Range: (negative infinity,-4]

Step-by-step explanation:

infinity always has parentheses

domain is seen from left to right

range is seen from bottom to top

Answer:

5+-

[tex]5 + - x {}^{2} [/tex]

[tex] - x {}^{2} + 5[/tex]

JK and KL make up line JL.

JL = 2x + 8, JK = 2x - 2, KL = x - 9

If JK and KL make up line JL:

JK + KL = JL

We are solving for KL, so isolate it.

JK - JK + KL = JL - JK
KL = JL - JK
x - 9 = 2x + 8 - (2x - 2)
x - 9 = 2x - 2x + 8 + 2
x - 9 = 10

Often times, we would solve for x, but considering x - 9 is what we wanted the solution to anyway, we don't need to bother solving for x.

KL = 10

The amount paid to vehicle A is less than to vehicle B so, Vehicle A is suitable to purchase based on a monthly payment.

When the loan is given to you, then some amount is charged to you for the principal amount and that is called interest.

Given:

For vehicle A,

The Principal amount of the car, P = $25000,

The rate of interest, r = 5% = 5/100 = 0.05,

The tenure, n = 60 months = 60/12 = 5 years,

Calculate the amount by the formula given below,

A = P (1 + r)ⁿ

Here A is the amount,

Substitute the values,

A = 25000 (1 + 0.05)⁵,

A = $31907.03

Similarly,  for vehicle b

A = 29000 (1 +0.04)⁶

A = $36694.25

As the amount of vehicle A is less than the of vehicle B Therefore, vehicle A is suitable to buy.

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The probability that all a randomly chosen student has a schedule that excludes music theory, using the combination formula, is of:

p = 1/14.

The number of different combinations of x objects from a set of n elements is obtained with the formula presented as follows, using factorials.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

Without simplifying it, the probability that all a randomly chosen student has a schedule that excludes music theory is of:

[tex]p = \frac{C_{4,3}}{C_{8,3}}[/tex]

The numeric value for each of these combinations is given as follows:

Hence the probability is given as follows:

p = 4/56.

The division of 56 by 4 has a quotient of 14, hence the simplified probability is of:

p = 1/14.

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Answer:62

Step-by-step explanation:

let x=number of marbles Rasheed has
let 7x+6 = number of marbles Lacey has
x+7x+6=70
8x+6=70
8x=64
x=8
Plug 8 into 7x+6 and you get 62

Aanya will now buy each at the cost below

A cherry muffin costs 350 shillings

A blueberry muffin costs 210 shillings

An apple costs 140 shillings

damson ones costs 70 shillings

The information given in the question is interpreted as below

A cherry muffin = 350 shillings

A blueberry muffin = 3 * damson ones

An apple + a blueberry muffin = 1 cherry muffin

A cherry muffin + 2 damson ones = 2 apple + 1 blueberry

from: 1 blueberry muffin, B = 3 * damson ones, D

D = B / 3

Also, An apple, A + B = 1 cherry muffin, C

A = C - B

C + 2D = 2A + B

substituting the values

350 + 2 * (B/3) = 2 * (350 - B) + B

350 + 2B/3 = 700 - 2B + B

collecting like terms

2B/3 + B = 700 - 350

5B/3 = 350

5B = 1050

B = 1050/5

B = 210

Solving for cost of apple

A = C - B = 350 - 210 = 140

Solving for the cost of the damson ones

D = B / 3 = 210 / 3 = 70

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For function, f(-4)=20, f(0)=4, f(2)=16 and f(3)=26

a relationship between two expressions or values that are not equal to each other is called 'inequality.

The given function is

f(x)= { -4x +4 for x <= 0

{ 10x - 4 for x > 0

We need to find f(-4),f(0),f(2) and f(3)

f(-4) is -4x +4 as x<=0

-4(-4)+4

16+4=20

f(-4)=20

f(0) is -4x +4 as x<=0

-4(0)+4=4

f(0)=4

f(2) is 10x - 4 as x>0

10(2)-4

20-4

f(2)=16

f(3) is 10x - 4 as x>0

10(3)-4

30-4

f(3)=26

Hence f(-4)=20, f(0)=4, f(2)=16 and f(3)=26

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Answer:

54

Step-by-step explanation:

40 x 135

_______

  100

=54

If he  has allocated $67,050 for the cost of growing his crops. The number of acres of each crop that should  plant is Corn 270, Wheat 540, Soybeans 450.

Let c = corn

Let w = wheat

Let s = soybeans

C+W+S = 1260

45C + 60W + 50S = 67050

W =2C

Substitute equation 1 into equation 2

C + 2C +S = 1260

3C + S =1260

45C + 120C + 50S =67050

165C +50S =67050

Let eliminate S

165C+ 50(1260-3C) =67050

165C + 63000 - 150C= 67050

15C= 4050

Divide both side by 15c

c =4050/15

c = 270 (corn)

Wheat

W=2C

w = 2(270)

w= 540

S= 1260 - 3C

S= 1260- 3(270)

S =1260 -810

S = 450 (soybeans)

Therefore , 270, 540 and 450 are the acres that should be planted.

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The exact value of tan(F) in the simplest radical form for the given triangle is (√29)/8.

We are given a triangle. The vertices of the triangle are F, G, and H. The lengths of the sides of the triangle are given. The lengths of FG, GH, and HF are 8 units, √29 units, and √93 units, respectively. The triangle is a right-angled triangle. The measure of the angle ∠G is 90°. We must find the value of tan(F) in its most basic radical form. A radical expression is one that contains a square root.

Considering the angle ∠F, the base and the perpendicular of the triangle are FG and GH. The trigonometric ratio tan (F) is calculated as follows.

tan(F) = GH/FG

tan(F) = (√29)/8

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The required greatest common factor is given as 6zx¹⁰t.

Given that,
To determine the greatest common factor among the expressions,

The greatest common factor is defined as a group of the set of numbers that is the most considerable and greatest factor that all the numbers include of.

Here,
Given expression,
=  6zx⁶tx⁴, 30zx⁸tx³, 18zx⁵tx⁵
Taking common 6zx¹⁰t,
= 6zx¹⁰t{1 , 5x³, 3}

Thus, the required greatest common factor is given as 6zx¹⁰t.

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Answer:

[tex]\frac{8}{31}[/tex]

Step-by-step explanation:

the reciprocal of a number n is [tex]\frac{1}{n}[/tex]

given

3 [tex]\frac{7}{8}[/tex] ← express as an improper fraction

= [tex]\frac{31}{8}[/tex] , then

reciprocal = [tex]\frac{1}{\frac{31}{8} }[/tex] = [tex]\frac{8}{31}[/tex]

Answer:

[tex]\displaystyle \frac{8}{31}[/tex]

Step-by-step explanation:

First, we will turn 3 ⅞ into an improper fraction.

   [tex]\displaystyle (3*\frac{8}{8} )+(\frac{7}{8} )=\frac{24}{8} +\frac{7}{8} = \frac{31}{8}[/tex]

Next, we will find the reciprocal. This means we flip the numerator and the denominator.

[tex]\displaystyle \frac{31}{8} \rightarrow \frac{8}{31}[/tex]

The cups of flour required for 2 cups of cashew is 2.6667

The proportion given in the problem is 3 cups of cashews for 4 cups of flour.

From the given proportion we calculate for the quantity of flours required for 2 cups of cashew

3 cups of cashew = 4 cups of flours

2 cups of cashew = ?

cross multiplying

3 * ? = 4 * 2

? = 4 * 2 / 3

? = 8 / 3

? = 2.6667

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Answer:

Even and Positive

Step-by-step explanation:

Answer: The probability that more than 12 of the entry forms will include an order is 0.624.

What is probability?

It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.

We have:

The Magazine Mass Marketing Company has received 16 entries in its latest sweepstakes.

The probability that more than 12 of the entry forms will include an order can be found as:

P(X > 4) = 1 - P(X = 0) - P(X = 1) - P(X = 2) - P( X = 3) - P(X = 4)

P(X > 4) = 1 - P(X = 0) - P(X = 1) - P(X = 2) - P(X = 3) - P(X = 4)

P(X > 4) = 1 - 0.0009 - 0.0097 - 0.043 - 0.117 - 0.205

P(X > 4) =  0.624

Thus, the probability that more than 12 of the entry forms will include order is 0.624.

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Step-by-step explanation:

The number sentence 4.8 < √32 is true

A number sentence is an arrangement of numbers and mathematical operation symbols

Given:

For 3 1/3 < √7

3 1/3 = 3.33 and √7 = 2.65

3.33 < 2.65

This is not true

For 4.8 < √32

√32 = 5.66

4.8 < 5.66

This is true

For |-3.2| < |-3.1|

|-3.2| = 3.2                Note: when you see sign | | you neglect the sign

|-3.1| = 3.1

3.2 < 3.1

This is not true

For 5.3×10⁵ < 9.76× 10⁴

5.3×10⁵ = 5.3×100000 = 530000

9.76× 10⁴ = 9.76×10000 = 97600

530000 < 97600

This is not true

Therefore, the number sentence 4.8 < √32 (4.8 < 5.66) is true. So option B is the answer

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The probability that C and D would be odd according to the given task content is; 1/4.

It follows from the task content that the probability that C and D would be odd be determined.

Given that the C and D are each chosen from a set 1, 2, 3, 4.

The probability that C is odd would be;

P (C is odd) = 2/4 = 1/2

Also; P ( D is odd) = 1/2

Consequently, the probability that C and D would be odd is;

= 1 / 2 × 1 / 2

= 1 / 4.

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Answer:

x = 8. y = 21

Step-by-step explanation:

x + 8x + 18 = 90

combine like terms

9x + 18 = 90

-18 both sides

9x = 72

divide by 9 both sides

x = 8

______

3y + 27 = 90

-27 both sides

3y = 63

divide by 3 both sides

y = 21

Answer:A

Step-by-step explanation:

N is a lie, its increasing

Q is linear

R is linear

P must be true

Answer:

The answer is A) In Section P, the function is linear and increasing.

Step-by-step explanation:

B is false because it is not decreasing

C is false because it is considered linear (linear is a line). Non-linear is typically a curved line.

D is false because it's not increasing or decreasing, so when it states decreasing it isn't even right.

Hope this helps!!!

The fraction of a tank is used daily is 1/15.

Given that, Jordan uses 1/3 of a tank of gas each week on their commute for 5 days.

In Mathematics, fractions are represented as a numerical value, which defines a part of a whole. A fraction can be a portion or section of any quantity out of a whole, where the whole can be any number, a specific value, or a thing.

Average tank of gas used = Total tank of gas/Number of days

= 1/3 ÷ 5/1

= 1/3 × 1/5

= 1/15

Therefore, the fraction of a tank is used daily is 1/15.

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Step-by-step explanation:

please recheck your question..

There is no question attached.

hope it helps..

Answer:

y = 122

x = 58

Step-by-step explanation:

Parallel line angle rule, corresponding angle are equal

so y = 122

A flat line has 180degree angle

to get x, flat line - y = 180 - 122 = 58

The discount amount is $213.6

The sale price for the exercise machines is $676.4

The first step is to calculate the discount amount

890 × 24/100

= 890 × 0.24

= 213.6

The next step is to calculate the sale price

890(1-0.24)

890(0.76)

676.4

Hence the discount amount is $213.6 and the sale price of the exercise machine is $676.4

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Answer:

46/273

Step-by-step explanation:

To add fractions, they must have a common denominator. To set one, find a common multiple of both denominators. Simply multiply them together if it proves difficult.

7 x 39 = 253

Now set the denominators to this number and multiply the numerators by the opposite fraction's denominator.

39/259 + 7/253 = 46/253
This simplifies to 2/11

So, 1/3 + 1/39 = 2/11

To solve for a variable, simply isolate it.

f + 32 = -2
f + 32 - 32 = -2 - 32
f = 34

Answer:

The correct answer is -34.

Answer:30%

Step-by-step explanation:

Step-by-step explanation:

so,

100% = $130

1 % = 100%/100 = 130/100 = $1.30

the price changed by 169 - 130 = $39.

how many % are that ?

as many % and times 1% fits into $39 :

39 / 1.3 = 30%

the price increase was 30%.