6x4=8xN
how do i solve this equation

Answer:

see explanation

Step-by-step explanation:

Using the trigonometric identities

• cot x = [tex]\frac{cosx}{sinx}[/tex]

• sec x = [tex]\frac{1}{cosx}[/tex] and cosec x = [tex]\frac{1}{sinx}[/tex]

Consider the left side

[tex]\frac{cotx}{secx}[/tex]

= [tex]\frac{cosx}{sinx}[/tex] × cosx

= [tex]\frac{cos^2x}{sinx}[/tex]

= [tex]\frac{1-sin^2x}{sinx}[/tex]

= [tex]\frac{1}{sinx}[/tex] - [tex]\frac{sin^2x}{sinx}[/tex]

= cosec x - sin x

= right side ⇒ verified

Answer:

○ D) Need more information

Step-by-step explanation:

We do not have have enough angle measures to know how to solve this, although each interior angle in a pentagon is 108°.

I am joyous to assist you anytime.

Answer:

○ D. y - 3 = -⅐(x - 3)

Step-by-step explanation:

According to the Point-Slope Formula, y - y₁ = m(x - x₁), all the negative symbols give the OPPOSITE terms of what they really are, so be EXTREMELY careful inserting the coordinates into the formula with their CORRECT signs.

I am joyous to assist you anytime.

Equation of line is  [tex]y = -\frac{x}{7} + \frac{24}{7}[/tex]

[tex]y - y_{1} = m ( x - x_{1} )[/tex]

where [tex](x_{1},y_{1})[/tex] are coordinates and m is slope.  

How to solve?

Given:- Coordinate  (3,3) and slope [tex]\frac{-1}{7}[/tex]

Equation of line:

[tex]y - y_{1} = m ( x - x_{1} )[/tex]

given  : [tex]x_{1} = 3 , y_{1} = 3 , m = -\frac{1}{7}[/tex]

substituting values, Equation of line is:

y - 3 = [tex]-\frac{1}{7}[/tex] ( x - 3)

[tex]y = - \frac{x}{7} + \frac{3}{7} + 3[/tex]

[tex]y = -\frac{x}{7} + \frac{24}{7}[/tex]

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George would weigh

65 kg × 1.6N /kg = 104 Newtons

That's compared to around 650 Newtons on earth.

Answer: Weight of George on Moon =104 N

Step-by-step explanation:

Given : George has a mass of 65 kg.

The gravitational field strength on the Moon is 1.6N/kg.

Then, the weight of George on Moon = George's Mass x Gravitational field strength

=[tex]65\times1.6=104\text{ Newtons}[/tex]

Hence, the weight of George on Moon =104 N

Answer:

2y^2. 8/4 = 2 and y^7/y^5 is y^2 i don't know if this is what you completely asked for but here is the answer

Step-by-step explanation:

Division of the given polynomial [tex]8y^{7}[/tex]  ÷ [tex]4y^{5}[/tex]is equal to [tex]2y^{2}[/tex].

" Division is defined as the distribution of a given quantity into equal parts as per the given condition."

Formula used

[tex]a^{m}[/tex]  ÷ [tex]a^{n}[/tex] [tex]= a^{m-n} , m > n[/tex]

According to the question,

Given polynomial,

[tex]8y^{7}[/tex]  ÷ [tex]4y^{5}[/tex]

Division of given polynomial also use the formula we get,

[tex]8y^{7}[/tex]  ÷ [tex]4y^{5}[/tex]

[tex]= 2 y^{7-5} \\\\= 2y^{2}[/tex]

Hence, division of the given polynomial [tex]8y^{7}[/tex]  ÷ [tex]4y^{5}[/tex]is equal to [tex]2y^{2}[/tex].

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Answer:

1:3

Step-by-step explanation:

18 / 6 = 3

Answer:

3 feet per inch

Step-by-step explanation:

trust me bro

Hey!

-----------------------------------------------

[tex]\boxed{ \bf 5n~+~13}[/tex]

-----------------------------------------------

Solution:

Number = n

Multiply a number and five: 5n

Add thirteen: + 13

End Result: 5n + 3

-----------------------------------------------

Hope This Helped! Good Luck!

Answer: YEP

Step-by-step explanation: -8 makes it -24=16-40, which is -24

I HOPE THIS HELPS. HAVE THE MOST AMAZING WEEKEND EVER CHILD

༼ つ ◕_◕ ༽つ

Answer:7

Step-by-step explanation:

Ten Thousands Thousands Tens

3                                5                   7

Answer:

7

Step-by-step explanation:

The ones place always starts on the left then it works it way up.

ones, Tens, hundreds, thousands, ten thousands and it goes on in the same ones tens hundreds pattern

Answer:

32%

Step-by-step explanation:

We have been given that your target number of calories is 1700 per day to lose weight, but you are consuming 2500 calories per day.

First of all, we will find number of calories you should eat to lose weight by subtracting 1700 calories from 2500 calories.

[tex]2500-1700=800[/tex]

Now, we will find 800 is what percent of 2500.

[tex]\frac{800}{2500}\times 100=0.32\times100=32\%[/tex]

Therefore, your target should be consume 32% of the calories, you are consuming.

Answer:

first one. Since its X crosses or passes (2,0)

Step-by-step explanation:

The value of function represents with same domain f(x)= g(x) is f(2) = g(2) and f(0) = g(0).

We know that two functions f and g are said to be equal if:

(i) f and g have same domain D

(ii) for all x ∈ D, f(x) = g(x)

Thus, we must select the response that best captures the situation where f(x) = g. (x)

Considering the fact that f(x) and g(x) are defined on the same domain

If they are equivalent for all values of x in the domain, then f(x) = g(x).

Thus, f(2) = g(2) and f(0) = g(0)

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Answer:

van: 18

bus: 59

Step-by-step explanation:

x: students per van

y: students per bus

Highschool A:

x + 6y = 372 / *(-2)

Highschool B:

4x + 12y = 780

-2x - 12y = - 744

2x = 36

x = 18

Replace x in 1 equation

18 + 6y = 372

y = 59

The polynomial function of least degree with zeros -3, -2, and 4 is f(x) = (x+3)×(x+2)×(x-4), which is a cubic polynomial.

The polynomial function of least degree with given zeros of -3, -2, and 4 is derived from the fact that if a polynomial has zeros at x=a, x=b, and x=c, then it can be represented as f(x) = k×(x-a)×(x-b)×(x-c), where k is any non-zero constant. Given the zeros -3, -2, and 4, the polynomial function is:

f(x) = k×(x+3)×(x+2)×(x-4)

Because the question does not specify a leading coefficient, we can assume k=1 for the least degree polynomial. Thus, the final form of the polynomial would be:

f(x) = (x+3)×(x+2)×(x-4)

Expanding this would give us a cubic polynomial, which is the polynomial of least degree that satisfies the condition of having exactly these three zeros.

Answer:

C

Step-by-step explanation:

Given

2r + (t + r) ← distribute parenthesis by 1

= 2r + t + r ← collect like terms

= 3r + t

Which is not represented by the given options → C

Answer:

24

Step-by-step explanation:

Length 9 (3+6)

Width 3

Perimeter = 2 times length + 2 times width

18 + 6 = 24

Answer:

The length and width of the pool area is:

Step-by-step explanation:

Since the 130-foot fence should enclose only three parts of the pool (two wide and one long), equations are performed to express the information provided.

First an equation that says the total feet in the fence:

With these equations, we proceed to replace the second equation in the first one and solve for Y:

Since we already know that the width corresponds to 35 feet, we use the second equation to find the value of X:

With which it is identified that the length is 60 feet.

To find the dimensions of the pool area, we can set up an equation using the given information. Solving the equation, we find that the width of the pool area is 35 feet and the length is 60 feet. Therefore, the dimensions of the pool area to be enclosed are 35 feet by 60 feet.

To find the dimensions of the pool area, we will set up an equation based on the given information. Let's say the width of the pool area is 'w'. According to the problem, the length of the long side is 10 feet less than twice the width, so the length can be represented as 2w - 10. Since Mario needs to fence three sides, we can calculate the total length of the fence as follows:

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Answer:

1215 bacteria

Step-by-step explanation:

5 x 3 = 15 (after 30 minutes)

15 x 3 = 45 (after 60 minutes)

45 x 3 = 135 (after 90 minutes)

135 x 3 = 405 (after 120 minutes)

405 x 3 = 1215 (after 150 minutes)

The answer is 19,800

If you need a better explanation just as in the comments.

Happy to help! Please mark as BRAINLIEST! Thanks

Answer:

19,837 rounded to the nearest hundred is 19,800

Step-by-step explanation:

so we know that 4 and under we keep the number the same, so the 3 in the tens place means that we keep the 8 ind the hundreds place the same and so that leads us to our answer, 19,800

Hope I helped :)

Answer:

Step-by-step explanation:

because the two line segments are the same length-->

12+10-x=18

x=22-18=4

The question aims to determine the value of x for two congruent line segments, typically involving algebraic and geometric methods; however, no specific solution can be provided without the diagram.

The question involves finding the value of x when given two congruent line segments in a diagram. This typically requires the use of algebraic methods or the application of geometric theorems to establish relationships between the lengths represented in the diagram and solve for x.

Without the specific diagram, we cannot provide the direct steps to solve for x.

However, the context suggests the use of equations to calculate lengths. Common strategies include setting equations equal to each other when line segments are congruent and simplifying to find x.

The mention of bisectors and lines intersecting at right angles can also imply the use of properties related to parallel and perpendicular lines or the Pythagorean theorem.

Remember, when equations have two solutions for x, it's necessary to consider which solution is consistent with the geometric context of the problem.

let's say each restaurant has a container of soup which is the same size, let's say there is a total of "s" amount of soup in the container of each restaurant, so 5/4 of that much will just be (5/4)s and 7/4 of "s" is just (7/4)s.

well, one restaurant makes 20 servings from 5/4 of it and the other makes 25 from 7/4 of it,

[tex]\bf \cfrac{5}{4}s\div 20\implies \cfrac{5}{4}s\div \cfrac{20}{1}\implies \cfrac{~~\begin{matrix} 5 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}{4}s\cdot \cfrac{1}{\underset{4}{~~\begin{matrix} 20 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}}\implies \boxed{\cfrac{1}{16}}s \\\\[-0.35em] ~\dotfill\\\\ \cfrac{7}{4}s\div 25\implies \cfrac{7}{4}s\div \cfrac{25}{1}\implies \cfrac{7}{4}s\cdot \cfrac{1}{25}\implies \boxed{\cfrac{7}{100}}s[/tex]

now, which one is larger?  well, we can simply put both fractions with the same denominator by multiplying one by the other's denominator,

[tex]\bf \cfrac{1}{16}\cdot \cfrac{100}{100}\implies \boxed{\cfrac{100}{1600}}\qquad \qquad \qquad \stackrel{\textit{\Large larger}}{\cfrac{7}{100}\cdot \cfrac{16}{16}\implies \boxed{\cfrac{112}{1600}}}[/tex]

Answer:

7x/2

Step-by-step explanation:

7x=2y

1) Divide both sides by 2:

y=7x/2

Answer:

A

Step-by-step explanation:

Answer:

Option 1

Step-by-step explanation:

Given : Function f of x equals 4 times one third to the 2 times x power.

To find : Rewrite the function using properties of exponents ?

Solution :

Writing the function in numeric terms,

f of x equals 4 times one third to the 2 times x power

i.e. [tex]f(x)=4\times (\frac{1}{3})^{2x}[/tex]

Solve the expression,

[tex]f(x)=4\times (\frac{1}{3}^2)^{x}[/tex]

[tex]f(x)=4\times (\frac{1}{9})^{x}[/tex]

i.e. f of x equals 4 times one ninth to the x power.

Therefore, Option 1 is correct.

Answer:

The cost of a ribeye steak dinner is $18.68 and the cost of a grilled salmon dinner is $9.00

Step-by-step explanation:

Let

x ----> the cost of a ribeye steak dinner

y ----> the cost of a grilled salmon​ dinner

we know that

10x+45y=591.99 -----> equation A

24x+15y=583.39 ----> equation B

Solve the system by graphing

Remember that the solution is the intersection point both graphs

The solution is the point (18.68,9.00)

see the attached figure

therefore

The cost of a ribeye steak dinner is $18.68 and the cost of a grilled salmon dinner is $9.00

Answer:

20 weeks.

Step-by-step explanation:

So, he has $500 in savings and he's taking out $25 each week. That would be $25 x ?. Which is the same as 500 divided by 25 which equals 20. I hope this helps!

Keith can withdraw $25 each week from his $500 savings account for 20 weeks.

Keith starts with $500 in his savings account and withdraws $25 every week. To determine how many weeks he can continue these withdrawals, we need to divide his initial amount by the weekly withdrawal amount.

Let's perform the calculation step by step:

So, Keith can withdraw money from his account for 20 weeks.

Answer:

If a negative number is multiplied with a positive number, the result will be negative. If two positive numbers are multiplied, the result will be positive. If two negative numbers are multiplied, the result will also be positive.

Mathematical signs are very important to take note of when multiplying factors.

According to distributive law, the negative sign will affect the positive sign in the bracket to have -3(2) -3(5) = -6 - 15

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Answer:

Mathew invested $600 and $2400 in each account.

Solution:

From question, the total amount invested by Mathew is $3000. Let p = $3000.

Mathew has invested the total amount $3000 in two accounts. Let us consider the amount invested in first account as ‘P’

So, the amount invested in second account = 3000 – P

Step 1:

Given that Mathew has paid 3% interest in first account .Let us calculate the simple interest [tex](I_1)[/tex] earned in first account for one year,

[tex]\text {simple interest}=\frac{\text {pnr}}{100}[/tex]

Where  

p = amount invested in first account

n = number of years  

r = rate of interest

hence, by using above equation we get [tex](I_1)[/tex] as,  

[tex]I_{1}=\frac{P \times 1 \times 3}{100}[/tex] ----- eqn 1

Step 2:

Mathew has paid 8% interest in second account. Let us calculate the simple interest [tex](I_2)[/tex] earned in second account,

[tex]I_{2} = \frac{(3000-P) \times 1 \times 8}{100} \text { ------ eqn } 2[/tex]

Step 3:

Mathew has earned 4% interest on total investment of $3000. Let us calculate the total simple interest (I)

[tex]I = \frac{3000 \times 1 \times 4}{100} ----- eqn 3[/tex]

Step 4:

Total simple interest = simple interest on first account + simple interest on second account.

Hence we get,

[tex]I = I_1+ I_2 ---- eqn 4[/tex]

By substituting eqn 1 , 2, 3 in eqn 4

[tex]\frac{3000 \times 1 \times 4}{100} = \frac{P \times 1 \times 3}{100} + \frac{(3000-P) \times 1 \times 8}{100}[/tex]

[tex]\frac{12000}{100} = \frac{3 P}{100} + \frac{(24000-8 P)}{100}[/tex]

12000=3P + 24000 - 8P

5P = 12000

P = 2400

Thus, the value of the variable ‘P’ is 2400  

Hence, the amount invested in first account = p = 2400

The amount invested in second account = 3000 – p = 3000 – 2400 = 600  

Hence, Mathew invested $600 and $2400 in each account.

Answer:

Step-by-step explanation:

To find the slope of a line perpendicular to y = (-4/9)x - 3, take the negative reciprocal of this slope -4/9.  The slope of the new line is thus 9/4.

Now we have this data to work with:  m = 9/4, y = 4 and x = 3.  Subbing this info into y = mx + b, to obtain the value of b, we get:

4 = (9/4)(3) + b, or

4 = 3/4 + b.  Thus, b = 3  1/4, or b = 13/4.

The desired equation is

y = (9/4)x + 13/4.