A system of linear equations is shown in the graph. How many solutions does the system have?br /> One solution at (0, 4) One solution at (−3, 0) Infinitely many solutions No solution

Using, the mathematical inequalities, we can conclude that the total number of occupied rooms on Friday is 10.

Number of rooms in the inn = 10

It is given that One-half of the rooms are reserved for Friday which means 5 rooms were initially reserved on Friday.

Now, 12 more rooms are reserved for Friday.

So, the Initial reservation for Friday = 5

Final reservations for Friday = 5 + 12 = 17

Now, Final reservations for Friday(17) > Total number of rooms in the inn(10).

As the reservation exceeds the capacity of the hotel, 7 reservations will be cancelled and all 10 rooms will be occupied on Friday.

Hence, the total number of occupied rooms on Friday is 10.

To learn more about mathematical inequalities here:

brainly.com/question/21680774

#SPJ4

Answer:

x= 1/27

Step-by-step explanation:

the correct answer is : X = 1/27

Answer:

- 1/2

Step-by-step explanation:

To solve for x in the equation 3^2x = 1/3, we can start by taking the logarithm of both sides with base 3:

log3 (3^2x) = log3 (1/3)

Using the logarithmic property logb (a^n) = n * logb (a), we can simplify the left side:

2x * log3 (3) = log3 (1/3)

Since log3 (3) = 1, we can simplify further:

2x = log3 (1/3)

To find the value of the logarithm on the right side, we can use the definition of logarithms: logb (a) = c if and only if b^c = a. Since 1/3 = 3^-1, we have:

2x = log3 (3^-1) = -1

Finally, to solve for x, we divide both sides of the equation by 2:

x = -1/2

So the solution to the equation 3^2x = 1/3 is x = -1/2.

If the circumference of a circular field is 308 m, then it's Area is (b) 7546 m²  .

The formula for the Circumference of circle is = 2πr  ; Where r is = radius ;

The circumference is 308m, so we substitute in the required value and solve for r  ;

⇒ 308 = 2πr

⇒ r = 308/(2π)

⇒ r = 49  ;

Now that we have the radius, Next , we use the formula for the area of a circle to find the area  ;

The area of circle is ⇒ Area = πr² ;

Substituting in the value of radius(r) , we get ;

⇒ Area = π(49)²  ;

⇒ Area = 7546 m²   ;

Therefore , area of the circular field is 7546 square meters.

Learn more about Circle here

https://brainly.com/question/16125353

#SPJ4

The given question is incomplete , the complete question is

The circumference of a circular field is 308m, Find its Area .

(a) 7050 m²

(b) 7546 m²

(c) 7946 m²

(d) 8129 m²

The measurements required to provide a 95% confidence interval in the true mean to within plus minus 0.28v  are 2 measurements and they are 1.24v and 1.8v .

Given that, based on 51 measurements of time-dependent electrical signal, the standard deviation is 1.52 v

The 95 confidence interval in its true mean value is 0.28 and the measurements required to provide a 95% confidence interval in the true mean to within plus minus 0.28v  are 2 measurements and they are 1.24v and 1.8v

A Standard Deviation of the R.V.(random variable), a sample, and a statistical population, the data set, or the probability distribution is the square root of the its variance

A True Mean refers to a population mean. It actually would not have a population mean, because since it is the either impossible to get and probably the time consuming and too much expensive to get it.

Therefore, the 95 confidence interval in its true mean value is 0.28 and the measurements required to provide a 95% confidence interval in the true mean to within plus minus 0.28v  are 2 measurements and they are 1.24v and 1.8v

Learn more about measurements here:

https://brainly.com/question/4725561

#SPJ4

Answer:

Step-by-step explanation:

its C

Answer:

(12m+10)(2m-2)

hope this helps

An algebraic expression that represents the number of crayons that Jeremiah has is: B. 2s + 3.

In order to write an equation that model this situation, we would assign variables to the total number of pencils that Jeremiah has and the total number of pencils that Spencer has respectively, and then translate the word problem into algebraic equation as follows:

Since Jeremiah has three more than twice as many pencils as Spencer, a linear equation that models this situation correctly include the following:

J = 2s + 3

Read more on equation here: brainly.com/question/18912929

#SPJ1

Students raised $225 in the first week and $90 in the second week.

Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".

Given that, a student club has a goal to raise $750 to buy new books for a library.

In the first week, the club raised 30% of its goal.

Now, 30% of 750

= 30/100 ×750

= 3×75

= $225

In the second week, the club raised 12% of its goal.

Now, 12% of 750

= 12/100 ×750

= 0.12×750

= $90

Hence, students raised $225 in the first week and $90 in the second week.

To learn more about the percentage visit:

brainly.com/question/24159063.

#SPJ9

The 92nd term of the arithmetic sequence 8, 25, 42, ..... is equal to 1,555.

Mathematically, the nth term of an arithmetic sequence can be calculated by using this expression:

aₙ =  a₁ + (n - 1)d

Where:

Next, we would determine the common difference as follows.

Common difference, d = a₂ - a₁

Common difference, d = 25 - 8

Common difference, d = 17

Substituting the given parameters into the formula, the 92nd term of this arithmetic sequence is given by;

a₉₂ = a₁ + (92 - 1)d

a₉₂ = 8 + (91)(17)

a₉₂ = 8 + 1,547

a₉₂ = 1,555.

Read more on arithmetic sequence here: brainly.com/question/24989563

#SPJ1

A sample size of at least 424 students is required to obtain a 90% confidence interval with a margin of error of at most 0.04.

To determine the required sample size for a 90% confidence interval with a margin of error of at most 0.04, we can use the formula:

[tex]n = \left(\frac{z \cdot \sigma}{E}\right)^2[/tex]

where:

n is the sample size

z is the z-score associated with the desired confidence level (90% confidence level corresponds to z = 1.645)

σ is the standard deviation of the population (unknown, so we use 0.5 as a conservative estimate, since the proportion of students who would patronize the nightclub is unknown and assumed to be 0.5 for maximum variability)

E is the maximum desired margin of error (0.04)

Plugging in the values, we get:

n = (1.645 * 0.5 / 0.04)²

n ≈ 424

Therefore, a sample size of at least 424 students is required to obtain a 90% confidence interval with a margin of error of at most 0.04.

Find out more about z-score

brainly.com/question/14508003

#SPJ4

Answer:

she mostly likely found 1 result .

It should be noted that the relationship between the balance and the number of withdrawals is linear, because there is a constant amount of $10 per withdrawal.

To confirm this, we can calculate the differences in balance for each pair of withdrawals:

Between withdrawals 3 and 2: 170 - 140 = 30

Based on the information, the starting amount is $200.

The equation to illustrate the withdrawal will be:

= 200 - 10w

where w = withdrawal.

These differences are constant, which means the rate of change of the balance is constant too.

Learn more about linear on:

https://brainly.com/question/2030026

#SPJ1

Step-by-step explanation:

since you know already that you need the law of cosine (which is nothing else than the generalization of Pythagoras from right-angled triangles to general triangles), why don't you just apply it ?

the law of cosine :

c² = a² + b² - 2ab×cos(C)

c is the side opposite of angle C, a and b are the other 2 sides.

our angle C is here now the angle QPR. the opposite side is QR = 3.

so, we have

3² = 2² + 4² - 2×2×4×cos(QPR) = 4 + 16 - 16×cos(QPR)

9 = 20 - 16×cos(QPR)

-11 = -16×cos(QPR)

cos(QPR) = -11/-16 = 11/16 = 0.6875

FYI : that means

angle QPR = 46.56746344...°

Answer: Given the equation V = Sp.v, to solve for v, we need to divide both sides of the equation by Sp.

V / Sp = v

So v = V / Sp

Here, V is the volume of the item being sold, Sp is the price per unit, and v is the number of units being sold. By dividing V by Sp, we can find the number of units being sold (v) at a given price per unit.

Step-by-step explanation:

The statement correctly represents the situation is "Paul runs 5/8 mile for every one mile that John runs".

Ratio is used to compare two or more quantities. It is used to indicate how big or small a quantity is when compared to another.

The ratio of the number of runs that John and Paul do is 5:8, which means that for every 5 runs that John does, Paul does 8 runs.

Let J and P number of miles John and Paul run respectively. We can write:

P : J = 5 : 8

P / J = 5 / 8

P = (5/8)J

Therefore, Paul runs 5/8 mile for every one mile that John runs

Learn more about ratio on:

brainly.com/question/2328454

#SPJ1

Complete Question

John and Paul both run on the same track each morning. The ratio of the number of  John runs to the number of  Paul runs is 5:8 Which statement correctly represents the situation?

A. Paul runs 5/8 mile for every one mile that John runs

B. Paul runs 8/13 mile for every one mile that John runs.

C. John  runs 5/8 mile for every one mile that Paul runs.

D. John runs 8/13 mile for every one mile that Paul runs.

The function f(x) is translated 3 units right and 5 units down then the function f(x) is coincident with the function g(x).

A function is an assertion, conception, or regulation that establishes a partnership between two variables.

The functions f(x) and g(x) are given below.

f(x) = 1 / x

g(x) = 1 / (x - 3) - 5

Translate the function 3 units right, then replace x with (x - 3). And translate the function 5 units down, then replace f(x) with (g(x) + 5). Then we have

g(x) + 5 = 1 / (x - 3)

g(x) = 1 / (x - 3) - 5

The function f(x) is translated 3 units right and 5 units down then the function f(x) is coincident with the function g(x).

More about the function link is given below.

https://brainly.com/question/5245372

#SPJ1

Answer: the answer is sos not please help me dude

Step-by-step explanation:

but you use kami and go to files and download the pdf use kami

Answer:

29.22

Step-by-step explanation:

Answer: 147m

Step-by-step explanation: the tower's height can be calculated using the following equation: height = (shadow length/pole shadow length) * pole height Therefore, the tower's height is: height = (45.5/1.01) * 2.8 height = 146.5 m The tower's height is approximately 147 m, rounded to the nearest meter

(i) The average values for the variables andre, pri gpa, and act is sum of all the values divided by the total number of values.

(ii) The model atenderte 5 b0 1 b1 prigpa 1 b2act 1 u in equation form  is atenderte = b₀ + b₁ x prigpa + b₂ x act + u

(iii) The slope coefficients is  b₁ and b₂

(iv) The predicted atenderte if prigpa 5 3.65 and act 5 20 is atenderte = b₀ + b₁ x 3.65 + b₂ x 20 + u

(v) if student a has prigpa 5 3.1 and act 5 21 and student b has prigpa 5 2.1 and act 5 26, then the predicted difference in their attendance rates is  0.5

In this exercise, we will be exploring a regression model that predicts the attendance rate of students based on their academic performance variables. We will be using three variables to predict the attendance rate: "andre", "pri gpa", and "act". Here are the answers to the questions:

(i) To obtain the minimum, maximum, and average values for the variables "andre", "pri gpa", and "act", we need to first look at the data. The minimum value is the smallest value for each variable, the maximum value is the largest value for each variable, and the average value is the sum of all the values divided by the total number of values.

(ii) The regression model that predicts the attendance rate is written in equation form as

=> "atenderte = b₀ + b₁ x prigpa + b₂ x act + u".

This equation means that the predicted attendance rate (atenderte) is equal to the intercept (b₀) plus the product of the coefficient for "pri gpa" (b₁) and the value of "pri gpa" plus the product of the coefficient for "act" (b₂) and the value of "act".

(iii) The estimated slope coefficients (b₁ and b₂) tell us the expected change in the attendance rate for each one-unit increase in "pri gpa" or "act". If b₁ is positive, it means that as "pri gpa" increases, the attendance rate is expected to increase. Similarly, if b₂ is positive, it means that as "act" increases, the attendance rate is expected to increase.

(iv) To find the predicted attendance rate if "pri gpa" is 3.65 and "act" is 20, we can substitute these values into the regression equation:

atenderte = b₀ + b₁ x prigpa + b₂ x act + u

atenderte = b₀ + b₁ x 3.65 + b₂ x 20 + u

This will give us the predicted attendance rate for a student with "pri gpa" of 3.65 and "act" of 20. If there are any students in the sample with these values of the explanatory variables, then their actual attendance rate should be close to the predicted value.

(v) To find the predicted difference in attendance rates between student A (with "pri gpa" of 3.1 and "act" of 21) and student B (with "pri gpa" of 2.1 and "act" of 26), we can first use the regression equation to predict the attendance rates for each student:

Student A:

atenderteA = b0 + b1 x 3.1 + b2 x 21 + u

Student B:

atenderteB = b0 + b1 x 2.1 + b2 x 26 + u

Then, we can take the difference between the predicted attendance rates for each student:

=> atenderteA - atenderteB

=> 52.6 - 52.1 = 0.5

This will give us the predicted difference in attendance rates between the two students.

To know more about equation here.

https://brainly.com/question/10413253

#SPJ4

The required perimeter of the door on the scale drawing is 4 cm, which is option A.

Perimeter is the measure of the figure on its circumference.

Here,
To find the perimeter of the door on the scale drawing, we need to first find the dimensions of the door on the scale drawing. We can use the scale 2:8 to convert the actual dimensions of the door to the corresponding dimensions on the scale drawing:

Height on scale drawing = (2/8) x 5 cm = 1.25 cm

Width on scale drawing = (2/8) x 3 cm = 0.75 cm

The perimeter on the scale drawing = 2 x (height on scale drawing + width on scale drawing)

Perimeter on scale drawing = 2 x (1.25 cm + 0.75 cm)

Perimeter on scale drawing = 2 x 2 cm

The perimeter on the scale drawing = 4 cm

Therefore, the perimeter of the door on the scale drawing is 4 cm, which is option A.

Learn more about perimeter here:

brainly.com/question/6465134

#SPJ1

Answer: the initial points is 30.
and per pair of shoes is 15.

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

The value of x and y is -2 and 5

Simultaneous equations are two or more algebraic equations that share variables e.g. x and y . They are called simultaneous equations because the equations are solved at the same time. For example, below are some simultaneous equations: 2x + 4y = 14 4x − 4y = 4.

Using elimination method

y =−4x−3 equation 1

y=−2x + 1 equation 2

subtract equation 1 from 2

0 = 2x +4

collect like terms

2x = -4

x= -4/2

x = -2

substitute -2 for x in equation 1

y = -4(-2)-3

y = 8 -3

y = 5

therefore the value of x and y are -2 and 5 respectively.

learn more about Simultaneous equation from

https://brainly.com/question/16863577

#SPJ1

Answer:

3

Step-by-step explanation:

The measure of each angle is [tex]3(75)-100=125^{\circ}[/tex].

Answer:

684sq in

Step-by-step explanation:

The surface area of a rectangular prism can be calculated by adding up the areas of all six faces. If the dimensions of the prism are 6 inches, 15 inches, and 12 inches, then the surface area can be calculated as follows:

2(lw + lh + wh)

where l is the length, w is the width, and h is the height.

Substituting the given values, we get:

2(6 * 15 + 6 * 12 + 15 * 12)

= 2(90 + 72 + 180)

= 2(342)

= 684 square inches

So, the surface area of the rectangular prism is 684 square inches.

A

im going to guess that the top of the graph has a flat line.

its easy to visualize since the graph looks like a hill, and the story describes the graph the most accurately

Answer:

Step-by-step explanation:

You want the lateral area, base area, and total area of a square pyramid with a base 3 ft on a side and a slant height of 4 ft.

The area of one triangle is ...

  A = 1/2bh

  A = 1/2(3 ft)(4 ft) = 6 ft²

Then the area of the four triangular faces is ...

  area of triangles = 4×6 ft² = 24 ft²

The area of the square base is ...

  A = s²

  A = (3 ft)² = 9 ft²

The area of the square base is 9 ft².

The total surface area is the sum of the lateral area and the base area:

  total surface area = area of triangles + area of square = 24 ft² +9 ft²

  total surface area = 33 ft²

<95141404393>

Answer:

2

Step-by-step explanation:

the prime factorization of the number 90 is

2, 3, 3, 5

The correct answer on the equation representing Kona's mother's age is option a) K² - 4.

Let M represent the Kona's mother's age = M = K² - 4.

Now substitute the value by taking Kona's age be 10.

= 10² - 4

= 100 - 4

=96.

Since the difference is Kona's age squared with subtracting 4.

The problem states that Kona's mother's age is the difference between Kona's age squared and four, We are given that the K represents Kona's age. Therefore, the expression for Kona's mother's age can be written as  K² - 4. This is because we substitute the K for the Kona's age and square it, then subtract four to find the mother's age. Hence the correct is option A. The difference code refers to the answer or result formed after subtracting the given equation or expression.

To learn more about equation click here

brainly.com/question/15707224

#SPJ4

Complete question

Kona's mother realized that her age is the difference of Kona's age squared and four. If K represents Kona's age, which expression represents Kona's mother's age? a) K² - 4 b) K³ - 4 c) K² + 4 d) K³ + 4