How do you write it in an equation 14/7=2

Answer:

7km

Step-by-step explanation:

\( {15}^{2} + {8}^{2} = {c}^{2} \\ 225 + 64 = 289 \\ {c}^{2} = 289 \\ c = \sqrt{289 } \\ c = 17km\)

Answer:

AB > BC , AC > BC , AC = AB

Step-by-step explanation:

the sum of the 3 angles in a triangle = 180° , that is

∠ A + ∠ B + ∠ C = 180°

40° + 70° + ∠ C = 180°

110° + ∠ C = 180° ( subtract 110° from both sides )

∠ C = 70°

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the longest side in a triangle is opposite the largest angle

the shortest side in a triangle is opposite the smallest angle

AB is opposite ∠ C and BC is opposite ∠ A

then AB > BC ( since ∠ C > ∠A )

similarly

AC > BC ( since ∠ B > ∠ C

note that ∠ B = ∠ C , thus the triangle is isosceles with the 2 legs congruent, so

AC = AB

The true statement for the function p(x) is p(-2) and p(0) cannot be compared as p(0) is undefined. Option D is correct.

The given function is a logarithmic function and it is undefined at x = 0.

First, let us understand the logarithmic function:

A logarithmic function is a function of the form which is read as “ y equals the log of x, base b” or “ y equals the log, base b, of x.” In both forms, x > 0 and b > 0, b ≠ 1.

We are given:

p(x) = log 5x

substitute x = 0 in the above equation, we will get;

p(0) = log 5 × 0

p(0) = log 0

p(0) = undefined

Thus, the true statement for the function p(x) is p(-2) and p(0) cannot be compared because p(0) is undefined. Option D is correct.

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Using the equation of the function p(x) below, determine which of the statements below is true. Show your work.

Captionless Image

p(-2) > p(0)

p(-2) < p(0)

p(-2) and p(0) cannot be compared because p(-2) is undefined.

p(-2) and p(0) cannot be compared because p(0) is undefined.

Given, Option A: Hourly wage is $19 and the salesperson works 40 hours per week. So, he will earn in a week \(\sf = 19 \times 40 = \$760\)

Now, according to option b, he will get 8% commission on weekly sales.

Let. x = the amount of weekly sales.

To earn the same amount of option A, he will have to equal the 8% of x to $760

So, \(\sf \dfrac{8x}{100}=760\)

Or, \(\sf 8x= 76000\)

Or, \(\sf x= \dfrac{76000}{8}=9500\)

the salesman needs to make a weekly sales of $9,500 to earn the same amount with two options.

Correction in point 1: Purchases of supplies for cash during December were $3,300. Supplies on hand at the end of December equal $2,800.

What is Journal Entry?

The act of recording any economic transactions is called a journal entry. An accounting journal lists transactions and displays a company's debit and credit balances. Each recording in the journal entry can be either a debit or a credit, and it can be made up of multiple recordings. The way an accounting transaction is entered into a company's accounting records is through an accounting journal entry.

This question is related to the account and finance subject.

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4.2 x 10^8 is  2*10^6  times the value of 2.1 x 10^2 when division is performed.

The concept that will be used to solve the question is division operation.

We were given 4.2 x 10^8 which is greater than  2.1 x 10^2

The operation can be expressed as :

4.2 x 10^8 =( n *2.1 x 10^2)

where n = the number of times that 4.2 x 10^8  is greater than 2.1 x 10^2

Then make n the subject of the formular which is

n = 4.2 x 10^8/2.1 x 10^2

n = 2*10^6

Therefore, the values of 4.2 x 10^8 is greater than 2.1 x 10^2 in 2*10^6 times.

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When it comes to interest, most Certificates of Deposit (CDs) will allow periodic interest payouts. So, correct option is B.

A CD is a type of savings account that allows you to earn a fixed interest rate on your deposit for a specific period of time, called the term. Typically, the longer the term of the CD, the higher the interest rate offered.

However, during the term of the CD, the funds are locked in, meaning that you cannot withdraw the principal without incurring a penalty.

While some CDs may allow for unlimited withdrawals of interest, this is not common, and may still come with restrictions or penalties. Loans against principal are also not typically allowed with CDs, as the funds are meant to be held for a set term.

Therefore, the most common option available for CD holders is to receive periodic interest payouts, which can be monthly, quarterly, or annually, depending on the terms of the CD. This allows the CD holder to earn interest on their deposit while still receiving some income during the term of the CD.

So, correct option is B.

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Answer:

Equation: 68.50=48+5x Answer: 4gigabytes

Step-by-step explanation:

You have to add the flat cost and the cost per gigabyte together. Then set it equal to her maximum amount and solve.

The equation to calculate the number of gigabytes will be 68.50=48+5x. The number of gigabytes will be 4.1 GB

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that under her cell phone plan, Autumn pays a flat cost of $48 per month and $5 per gigabyte. She wants to keep her bill at $68.50 per month.

The expression can be written as below:

68.50=48+5x

5x = 68.5 - 48

5x = 20.5

x = ( 20.5 / 5 ) = 4.1 Gb

Therefore, the equation to calculate the number of gigabytes will be 68.50=48+5x. The number of gigabytes will be 4.1 GB

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Answer:

D) 56

Step-by-step explanation:

\(\displaystyle \frac{8!}{(8-2)!}=\frac{8!}{6!}=\frac{8*7*6*5*4*3*2*1}{6*5*4*3*2*1}=8*7=56\)

According to the concept of algebraic expression and arithmetic, the correct answers are A) Number of adults = N - 25. B) Number of adults when N = 124: 124 - 25 = 99

A) Let's denote the number of children as N. Since there are 25 fewer adults than children, the number of adults can be expressed as N - 25.

B) If there are 124 children, we substitute N with 124 in the expression from part A. Thus, the number of adults would be 124 - 25 = 99.

To arrive at these answers, we used the given information that there are "N" children and 25 fewer adults than children. By substituting the value of N, we determined the number of adults in terms of N and then calculated the specific number of adults when N is equal to 124.

Note: The given question is incomplete. The complete question is:

Some adults and children are watching a musical. there are 'N' number of children. There are 25 fewer adults than children.

A) find the number of adults in terms of 'N'.

B) if there are 124 children how many adults are there?​

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Answer: 10 marbles

Step-by-step explanation:

First, arrange all the numbers of marbles that the student picked in a ratio

red:green:blue

7:2:11

When adding all the coloured marbles that the student picked together, you get 20 marbles or "parts" as you would usually say in ratio.

Then, it would be helpful to rewrite the ratios as fractions, with 20 as the denominator:

\(\frac{7}{20}:\frac{2}{20}:\frac{11}{20}\)

However, the bag contains 100 marbles so we should have 100 as the denominator instead of 20.  20 is a fifth of 100, so in this case, we would multiply everything (the numerator and the denominator) by 5:

\(\frac{7*5}{20*5} :\frac{2*5}{20*5} :\frac{11*5}{20*5}\)

\(\frac{35}{100}:\frac{10}{100}:\frac{55}{100}\)

Therefore, you could predict you would get 35 red marbles, 10 green marbles, and 55 blue marbles.

Answer:

6 = u

Step-by-step explanation:

54 / u = 9

We have to isolate "u" all by itself;

54 = 9*u

54 / 9 = u

6 = u

Hope this helps!

Answer:

6

Step-by-step explanation:

We need to find of u value such that , 54 divided by u = 9. Converting it into equation ,

Equation :-

→ 54/u = 9

→ 1/u = 9 × 1/54

→ 1/u = 1/6

→ u = 6

Answer:

3.14, confirmed on Edge

Step-by-step explanation:

Since this cylinder has a radius of 1 inch, its volume is equal to 3.14 cubic inches.

Given the following data:

Radius of cylinder = 1 inch.

Height of can = 1 inch.

Mathematically, the volume of a cylinder is given by this formula:

\(V = \pi r^2h\)

Where:

Substituting the given parameters into the formula, we have;

\(V = 3.14 \times 1^2 \times 1\\\\V=3.14 \times 1\)

V = 3.14 cubic inches.

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That both a and b are equally likely, is also not true since the Probability of option b is higher than that of option a.

Option b is more likely to be true. This is because the given information states that the showerhead heights were designed to be 72 inches, which is well above the mean height of 69.5 inches. Therefore, it is reasonable to assume that the majority of the players' heights are below 72 inches. Since the heights of the athletes are normally distributed, the probability of selecting a player at random with a height above 72 inches is relatively low. On the other hand, option a suggests that the mean height of a sample of 20 players is more than 72 inches, which is less likely than option b. Option c, which suggests that both a and b are equally likely, is also not true since the probability of option b is higher than that of option a.

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Answer:

∠ MON = 51°

Step-by-step explanation:

∠ LON is composed of the 2 angles LOM and MON , that is

∠ LOM + ∠ MON = ∠ LON

42° + ∠ MON = 93° ( subtract 42° from both sides )

∠ MON = 51°

Answer:

<MON= 51°

Step-by-step explanation:

Look at the diagram and locate LON. You can see that LON is the angle of the complete line. Now LOM is given which is the angle of a part of the lines. So that means that to find MON we can minus LON with LOM.

<MON= <LON - <LOM

= 93-42

<MON= 51°

Feel free to ask any doubt you have!

The correct answer is (c) sec^2α.

What is the Pythagorean theorem?

Pythagoras Theorem is the way in which you can find the missing length of a right angled triangle.

The expression tan^2α + 1/secα can be simplified using trigonometric identities. Recall the following trigonometric identities:

tan^2α + 1 = sec^2α (Pythagorean identity for tangent)

secα = 1/cosα (definition of secant)

Substituting these identities into the original expression, we get:

tan^2α + 1/secα = sec^2α + 1/secα

Now, we can combine the terms with a common denominator:

(sec^2α * secα + 1)/secα

Using the definition of secant (secα = 1/cosα), we can further simplify:

(1/cos^2α * 1/cosα + 1)/secα

Multiplying numerator and denominator by cos^3α, we get:

(1 + cosα)/secα

Recalling that secα = 1/cosα, we can replace secα with its definition:

(1 + cosα)/(1/cosα)

Finally, multiplying the numerator and denominator by cosα, we get:

cosα + 1/cosα

Hence, the equivalent expression for tan^2α + 1/secα is cosα + 1/cosα, which is equivalent to sec^2α for all values of α for which secα is defined. Therefore, the correct answer is (c) sec^2α.

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Answer: 9x^2y

the gcf of -63 , 9 and 90 is 9

And the gcf of the variables is x^2 and y

So, 9x^2y

Answer:

22° + m<C = 90°

Step-by-step explanation:

We are given that <A (which is equal to 22°) and <B are vertical angles, and that <B is complementary to <C.

We want to write an equation that will help us solve <C.

Recall that vertical angles are congruent by vertical angles theorem.

This means that <A ≅ <B; it also means that the measure of <B is also 22°.

Also recall that complementary angles add up to 90°.

This means that m<B + m<C = 90°.

Since we deduced that m<B is 22°, we can substitute that value into the equation.

Hence, an equation that can be used to solve for <C is:

22° + m<C = 90°

The simplified form of -20/2(7 2/3) is -230/3.

To solve the expression -20/2(7 2/3), we need to follow the order of operations, which states that we should perform the operations inside parentheses first, then any multiplication or division from left to right, and finally any addition or subtraction from left to right.

First, let's convert the mixed number 7 2/3 to an improper fraction.

7 2/3 = (7 * 3 + 2) / 3 = 23/3

Now, let's substitute the value back into the expression:

-20/2 * (23/3)

Next, we simplify the multiplication:

-10 * (23/3)

To multiply a fraction by a whole number, we multiply the numerator by the whole number:

-10 * 23 / 3

Now, we perform the multiplication:

-230 / 3

Therefore, the simplified form of -20/2(7 2/3) is -230/3.

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Answer:

Step-by-step explanation:

Answer:

\(\textsf{B)} \quad f(x) = 5 \sin (16x) + 7}\)

Step-by-step explanation:

The sine function is periodic, meaning it repeats forever.

\(\boxed{f(x) = A \sin (B(x + C)) + D}\)

where:

Given values:

Calculate the value of B:

\(\dfrac{2\pi}{B}=\dfrac{\pi}{8}\implies 16\pi=B\pi\implies B=16\)

Substitute the values of A, B C and D into the standard formula:

\(f(x) = 5 \sin (16(x + 0)) + 7\)

\(f(x) = 5 \sin (16x) + 7\)

Therefore, the sine function with an amplitude of 5, a period of π/8, and a midline at y = 7 is:

\(\Large\boxed{\boxed{f(x) = 5 \sin (16x) + 7}}\)

Answer:

x=35

Step-by-step explanation:

Add 56 to both sides of the equation

2x-56+56=14+56

Simplify

2x=70

Divide both sides of the equation by the same term

2x/2=70/2

Simplify

x=35

Solve, 2x - 56 = 14

=> 2x - 56 = 14

=> 2x = 14 + 56

=> 2x = 70

\( = > x = \frac{70}{2} \)

( 2 × 35 = 70 )

=> 35

Answer:

2 is the leading coefficent and its a 3rd degree polynomial

Step-by-step explanation:

Answer:

The mid-point is ( -4, 1.5)

Step-by-step explanation:

(x,y)= ((-3-5)÷2,(-1+4)÷2)

     =(-4,1.5)

Answer:

C.using sin(30⁰).

because A=sin 30⁰bh

Answer:

x = 50

Step-by-step explanation:

By the definition of vertical angles you can set these two equations equal to each other.

2x+20=3(x-10)

then, just simplify to get the correct answer by using order of operations.

2x+20=3x-30

x=50

The equation of the tangent line at (1,1) is given as follows:

y - 1 = -0.25(x - 1).

The curve for this problem is given as follows:

x² - y² = 2x + y + xy - 4.

Applying implicit differentiation, we obtain the slope of the tangent line, as follows:

2x - 2y(dy/dx) = 2 + (dy/dx) + x(dy/dx) + y

(dy/dx)(1 + x + 2y) = 2x - 2 - y

m = (2x - 2 - y)/(1 + x + 2y).

At x = 1 and y = 1, the slope is given as follows:

m = (2 - 2 - 1)/(1 + 1 + 2)

m = -0.25.

Hence the point-slope equation is given as follows:

y - 1 = -0.25(x - 1).

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