Translate this phrase into an algebraic expression.
The difference of 3 times a number and 7
Use the variable n to represent the unknown number.

Hello!

\(\large\boxed{-16}\)

Use PEMDAS (order of operations) to solve:

-4 · [3 + (-5)²] ÷ 7

Square -5:

-4 · [3 + 25] ÷ 7

Add the numbers inside of the parenthesis:

-4 · [28] ÷ 7

Multiply -4 and 28:

-112 ÷ 7

Divide:

= -16.

Step-by-step explanation:

she sell 5piece out of 6 per hour

for 36 hour, she sell:

5 × 36 = 180piece of pie

one pie is cut to 6 piece

180/6 = 30pie

Answer:

one tribe only or in combination with another tribe plus in combination with any other race.

Step-by-step explanation:

United States Census Bureau (USCB) is the governmental agency saddled with the responsibility of providing data about the citizens of America and her economy. The Census Bureau was founded on the 1st of July, 1902 and has its headquarter in Suitland, Maryland, United States of America.

The U.S. Census reports Native Americans by one tribe only or in combination with another tribe plus in combination with any other race.

Native Americans are the indigenous people (citizens) of the United States of America and they are also known as the American Indians. The Census Bureau reports them by one tribe only such as Cherokee, Apache, Hopi, Chinook etc or in combination with another tribe such as Aleuts, Tlingit, Chenega, etc plus in combination with any other race such as Black Americans, Asian Americans, White Americans, Native Hawaiian etc.

Part a: 0.75x + 0.15y = 90 is the equation that indicates how many club pens and pencils the glee club can purchase.

Part B: The maximum number of pens and pencils the club can purchase is 120 and 600 respectively.

The stated values in the questions are-

Cost of one pen = $0.75

Let total number of pens be x.

Cost of one pencil = $0.15

Let total number of pencils be y.

Total cost (pens and pencils) = $90

Total cost = (Cost of one pen) x (Number of pens)  +  (Cost of one pencil)x(Number of pencils)

The equation modelling number of club pens and pencils is:

0.75x  +  0.15y    =   90

For the greatest number of pens ;

0.75x  = 90

x  =  90/0.75

x  =  120

Thus, the greatest number of pens bought by club is 120.

For greatest number of pencils;

0.15y = 90

y  =  90/0.15

y  =  600

Thus, the greatest number of pencils bought by club is 600.

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The given triangles are obtuse = 36 m, right angled = 225 m and right angled = 2500 m.

Triangle can be defined in which it consists of three sides, three angles and sum of three angles is always 180 degrees.

7.) This triangle is obtuse.

To see this, we can use the Pythagorean theorem:

4*4 + 5*5 = 16 + 25 = 41

6*6 = 36 m

Since 41 > 36, we know that the triangle is obtuse.

8.) This triangle is right.

To see this, we can again use the Pythagorean theorem:

11*11 + 12*12 = 121 + 144 = 265

15*15 = 225 m

Since 265 = 225 + 40, we know that the triangle is right.

9.) This triangle is also right.

We can use the same method as before:

30*30 + 40*40 = 900 + 1600 = 2500

50*50 = 2500 m

Since 2500 = 2500, we know that the triangle is right.

Therefore, The given triangles are obtuse , right angled and right angled.

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the awnser is 123 million I am sure of it

Answer:123 million.

Step-by-step explanation: From 1992 to 1997, it grew by 5 million in 5 years. That means it grew by a million people every year. 2012-1997=15. That means it grew by 15 million. 108+15=123.

⇒You are expected to solve for x in this point.
I will use the law of exponent that states that

⇒\(x^{n} *x^{m} \\=x^{n+m}\)

\(9^{x+7} =9^{24} \\x+7=24\\x=24-7\\x=17\)

GOODLUCK!!!

Answer:

Jenny es la más alejada de su novela, con 6.66/100 por delante de Gabriel, y 8.33/100 por delante de Jessica.

English Translation: "Jenny is furthest through her novel, at 6.66/100 ahead of Gabriel, and 8.33/100 ahead of Jessica."

Step-by-step explanation:

Translation to English: "Jenny is on page 250 of her 375-page novel, Gabriel is on page 243 of the 405 pages of hers, and Jessica is reading page 448 of the 768 pages of hers. Who has done the furthest reading of their novel and what fraction of the novel separates them from the others?"

For the first part of question, where is asks who is farther through their book, calculate percentage, which is calculated from division:

250/375 = 0.66..., or 66.66%

243/405 = 0.6, or 60%

448/768 = 0.5833..., or 58.33%

We can already see that Jenny is furthest through her book, as she is around 6.66% farther than Gabriel and 8.33% farther than Jessica.

But, to answer the second part of the question, we must convert this information to fractions, which can be done by putting the values over 100:

66.66/100, 60/100, 58.33/100.  Now, since they are already in the same denominators, we can easily tell how far they are from one another in fractions: Jenny is 6.66/100 ahead of Gabriel, and 8.33/100 ahead of Jessica.

If I helped, please make this answer brainliest! ;)

Answer:

-5 is your answer

Step-by-step explanation:

Answer:

-5

Step-by-step explanation:

Answer:

x = 14

....................              

Answer:

< or >

Step-by-step explanation:

Answer

If it's open, its just greater than or less than. If it's closed, its greater than or equal to / less than or equal to.

Answer:

C. If the radius decreases, then the height must decrease

Answer:

There is no change

Step-by-step explanation:

Though the radius and height are perpendicular to one another, there is no actual relationship between their lengths.

At least that is what my math teacher tells me. So if it's wrong please blame her and not me.

The number line shows the value of 5 - (-8) = 13.

Addition:

Subtraction:

Here the given operation is subtraction. Where a subtrahend is a negative number i.e., -8.

Step1: Start from '5' on the number line.

Step2: Since the subtrahend is a negative number, move to the right side on the number line from '5'.

Step3: Thus, the number obtained on the line is 13.

Step4: Algebraically the result is 5 - (-8) = 5 + 8 = 13.

The number line for this operation is shown below.

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The equation that will calculate the minimum amount of water A (in gallons) pumped after x days during mid-October to late December is given as follows:

A(x) = 940800x.

A proportional relationship is defined by a linear model with intercept of zero as follows:

y = kx.

In which k is the constant of proportionality.

For the minimum amount, we have that:

Hence the constant is given as follows:

k = 1120 x 60 x 14 = 940800.

(one hour = 60 minutes).

Hence the equation is:

A(x) = 940800x.

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The inner product of two vectors A = (2, -3,0) and B = (-1,0,5) is -2 / √(13×26).

Solving the given system of equations using Gaussian elimination:

2x + 3y + z = 2 y + 5z = 20 -x+2y+3z = 13

Matrix form of the system is

[A] = [B] 2 3 1 | 2 0 5 | 20 -1 2 3 | 13

Divide row 1 by 2 and replace row 1 by the new row 1: 1 3/2 1/2 | 1

Divide row 2 by 5 and replace row 2 by the new row 2: 0 1 1 | 4

Divide row 3 by -1 and replace row 3 by the new row 3: 0 0 1 | 5

Back substitution, replace z = 5 into second equation to solve for y, y + 5(5) = 20 y = -5

Back substitution, replace z = 5 and y = -5 into the first equation to solve for x, 2x + 3(-5) + 5 = 2 2x - 15 + 5 = 2 2x = 12 x = 6

The solution is (x,y,z) = (6,-5,5)

Therefore, the solution to the given system of equations using Gaussian elimination is (x,y,z) = (6,-5,5).

The given two vectors are A = (2, -3,0) and B = = (-1,0,5). The inner product of two vectors A and B is given by

A·B = |A||B|cosθ

Given,A = (2, -3,0) and B = (-1,0,5)

Magnitude of A is |A| = √(2²+(-3)²+0²) = √13

Magnitude of B is |B| = √((-1)²+0²+5²) = √26

Dot product of A and B is A·B = 2(-1) + (-3)(0) + 0(5) = -2

Cosine of the angle between A and B is

cosθ = A·B / (|A||B|)

cosθ = -2 / (√13×√26)

cosθ = -2 / √(13×26)

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The height at time t (in seconds) of a mass, oscillating at the end of a spring, is s(t) = 300 + 16 sin t cm. We have to find the velocity and acceleration at t = π/3 s.

Let's first find the velocity of the mass. The velocity of the mass is given by the derivative of the position of the mass with respect to time.t = π/3 s
s(t) = 300 + 16 sin t cm
Differentiating both sides of the above equation with respect to time
v(t) = s'(t) = 16 cos t cm/s

Now, let's substitute t = π/3 in the above equation,
v(π/3) = 16 cos (π/3) cm/s
v(π/3) = -8√3 cm/s

Now, let's find the acceleration of the mass. The acceleration of the mass is given by the derivative of the velocity of the mass with respect to time.t = π/3 s
v(t) = 16 cos t cm/s
Differentiating both sides of the above equation with respect to time
a(t) = v'(t) = -16 sin t cm/s²
Now, let's substitute t = π/3 in the above equation,
a(π/3) = -16 sin (π/3) cm/s²
a(π/3) = -8 cm/s²
Given, s(t) = 300 + 16 sin t cm, the height of the mass oscillating at the end of a spring. We need to find the velocity and acceleration of the mass at t = π/3 s.
Using the above concept, we can find the velocity and acceleration of the mass. Therefore, the velocity of the mass at t = π/3 s is v(π/3) = -8√3 cm/s, and the acceleration of the mass at t = π/3 s is a(π/3) = -8 cm/s².
At time t = π/3 s, the velocity of the mass is -8√3 cm/s, and the acceleration of the mass is -8 cm/s².

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The businesswoman must invest $7,500 in the 13% fund and $22,500 in the 15% fund to earn a return of $4,350 after one year.

An equation contains one or more terms with variables connected by an equal sign.

We can use substitution or elimination method to solve when there are more than one equation.

Example:

2x + 4y = 9 is an equation.

2x = 8 is an equation.

We have,

Let's denote,

The amount invested in the 13% fund =  x

The amount invested in the 15% fund = y.

Now,

The total amount invested = $30,000,

i.e

x + y = 30000 _____(1)

The total return after one year = $4,350.

Which can be expressed as,

0.13x + 0.15y = 4350 _____(2)

Use the substitution method.

From (1),

x + y = 30000

y = 30000 - x _____(3)

Substituting y in (2)

0.13x + 0.15(30000 - x) = 4350

Solving for x.

0.13x + 4500 - 0.15x = 4350

-0.02x = -150

x = 7500

And,

y = 30000 - x

y = 30000 - 7500

y = 22500

Thus,

The businesswoman must invest $7,500 in the 13% fund and $22,500 in the 15% fund to earn a return of $4,350 after one year.

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The complete question.

A businesswoman wants to invest $30,000 in different funds that produce annual returns of 13% and 15% respectively. How much must she invest in each fund to earn a return of $4,350 after one year?

The domain of x will be a set of whole numbers greater than 2 which is; x  > 2

The range of y will be a set of rational numbers greater than or equal to 1.5 which is; y ≥ $1.5

The domain of a function is defined as the set of all possible input values that make the function possible while range is the set of all possible output values that are possible from the input values.

The function is; y = 0.5x

Since the value of x represents the number of people that purchased tickets for the rides including Neville, then we can say that the domain of x will be a set of whole numbers greater than 2 because we are told it is him and his friends which is plural. Thus;

The domain is; x > 2

The range will be;

y ≥ 3(0.5)

y ≥ $1.5

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The probability that Jenny and Kenny are in the same group is 0.222

In this question we have been given in a class of 10 students, including Jenny, Kenny, and Lenny, are split into two groups of 5 students at random to work on a group project.

We need to find the probability that Jenny and Kenny are in the same group.

The number of ways to choose the groups. 

10C5

= 10!/5!(10 - 5)!

= 252

So, n(S) = 252

Let event A: Jenny and Kenny are in the same group.

If Jenny and Kenny are in the same group, there are 3 positions left.

So, there would be 8C3 ways to be in the same group. 

8C3 = 56

So, n(A) = 56

The probability would be,

p(A) = n(A)/n(S)

p(A) = 56/252

p(A) = 0.2222

Therefore, the required probability is 0.2222

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The complete question is:

A class of 10 students, including Jenny, Kenny, and Lenny, are split into two groups of 5 students at random to work on a group project. What is the probability that both Jenny and Kenny are in the same group?

The range:{-8, 4, 10} and the function as set of ordered pair is {(-2, -8),(2, 4),(4, 10)}

A pair of numbers in a certain order is called an ordered pair. Ordered pairs include, for instance, (1, 2) and (-4, 12). The two numbers' relative placement is crucial: (2) is not equal to (1, 1) (2, 1) — (1, 2)≠(2, 1). (2, 1).

When displaying two variables, ordered pairs are frequently used. By writing (x, y) = (7, - 2), we indicate that x = 7 and y = -2. The terms "x-coordinate" and "y-coordinate" refer to the number that relates to the value of x and the value of y, respectively.

The, function is given as y = 3x - 2

Lets put this in graph

Domain: {-2, 2, 4}

put the x values in function

y = 3(-2) - 2

y = −8

y = 3(2) - 2

y = 4

y = 3(4) - 2

y = 10

Range: {-8, 4, 10}

The function as set of ordered pair is {(-2, -8),(2, 4),(4, 10)}

Thus, the range:{-8, 4, 10} and the function as set of ordered pair is {(-2, -8),(2, 4),(4, 10)}

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Answer:

8 / 47 = 0.17021276595 btw u can just use a calculator

The expected value of the distribution is 7.

To find the expected value of a uniform distribution using Excel, you can use the formula:

E(X) = (b + a) / 2

where a and b are the lower and upper bounds of the distribution.

For this problem, a = 2 and b = 12, so we can plug these values into the formula:

E(X) = (12 + 2) / 2

E(X) = 7

Therefore, the expected value of the distribution is 7.

In Excel, you can simply enter the formula "=AVERAGE(2,12)" in a cell to calculate the expected value of the distribution.

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So, the final equation for the sine function is:

\(y = 5 sin(2x - \pi /2) + 2\).

The general form of a trigonometric equation can vary depending on which trigonometric function is being used (sine, cosine, tangent, etc.), but the most general form is:

\(f(x) = A sin(Bx + C) + D\)

where f(x) is the trigonometric function, A is the amplitude, B is the frequency, C is the phase shift, and D is the vertical shift. The phase shift and vertical shift are optional components and may not always be present in a trigonometric equation.

If using cosine instead of sine, the equation would be:

\(f(x) = A cos(Bx + C) + D\)

If using tangent, the equation would be:

\(f(x) = A tan(Bx + C) + D\)

Other trigonometric functions, such as secant, cosecant, and cotangent, can also be used in trigonometric equations, but the general form would follow the same structure as above.

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Answer:

It's B

Step-by-step explanation:

Given that we have the graph of f(x), we want to see which one is the graph of its inverse. i just had that question and i got a 100 on it

Answer: Yes, it will be enough.

Step-by-step explanation:

I will answer this in English:

We have 27 students and 81 units, we want to give 3 units to each student.

This is only possible if the quotient betwen 81 and 3 must be bigger than 27.

Lets do it:

81/3 = 27

So we have exactly enough for the 27 students.

The first derivative of the function f(x) = x² - 5 is equal to f'(x) = 2 · x.

In this question we have a quadratic function, in which we must make use of the definition of derivative to find the expression of its first derivative. Then, the procedure is shown below:

f(x) = x² - 5                                         Given

f' = [(x + h)² - 5 - x² + 5] / h                Definition of derivative

(x² + 2 · x · h + h² - 5 - x² + 5) / h       Perfect square trinomial

(2 · x · h + h²) / h                                Associative, commutative and modulative properties / Existence of additive inverse

2 · x + h                                              Distributive, commutative and associative properties / Definition of division / Existence of multiplicative inverse

2 · x                                                     h = 0 / Result

The first derivative of the function f(x) = x² - 5 is equal to f'(x) = 2 · x.

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The distance of a = 1 / 2 pi, b = 1 pi, and c = 3 / 2 pi.

The complete movement of an object, regardless of direction, is referred to as distance. The amount of ground a thing travels from its starting point to its destination is also referred to as distance.

Given:

The time, t = π / 2 sec,

Calculate the distance by using the formula given below,

\(Distance = r\times time\)

So, for distance, a = 1 × π / 2 =  π / 2

for distance, b = 1 × π =  π

for distance, c = 1 × 3 π / 2 =  3 π / 2

Therefore, the distance of a = 1 / 2 pi, b = 1 pi, and c = 3 / 2 pi.

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Answer:

x = 55 - 2y

y = 70 - 3x

x = 17

y = 19

Step-by-step explanation:

let x = small box

y = large box

6x + 12y = 330

12x + 4y = 280

6x + 12y = 330

6x = 330 -12y

6x/6 = (330-12y)/6

x = 55 - 2y

12x + 4y = 280

4y = 280 -12x

4y/4 = (280 -12x)/4

y = 70 - 3x

small box cost:

x = 55 - 2y

x = 55 - 2(70-3x)

x = 55 -140 + 6x

x - 6x = -85

-5x = -85

x = 17

large box

y = 70 - 3x

y = 70 - 3(17)

y = 70 - 51

y = 19