Simplify the expression: 2(8x + 7) - 3(6x - 4)

Answer:

it is the $14 pack

Step-by-step explanation:

the reason it is the $14 pack is because you can buy 2 of them for $28 dollars and wont have o pay #135 or $260 for something like that.

Answer:

a = 105 in²

Step-by-step explanation:

Front and back, triangles

a = 2 * (1/2)(5 * 6)

a = 30

Sides, squares

a = 3 * (5 * 5)

a = 75

Total

a = 30 + 75

a = 105 in²

Answer:

350

Step-by-step explanation:

Answer:    10. equal 0.27

                  11. 5.12

                  12. 3.35

Step-by-step explanation:

10. 0.9 * 0.3 = 0.27

11. 1.6 * 3.2 = 5.12

12. 0.5 * 6.7 = 3.35

13. 0.81*7.3 = 5.873

14. 5.6*3.9 = 21.84

15. 1.2 * 0.05 = 0.06

The expressions for the lengths of the segments obtained using vectors notation are;

a. i. \(\overrightarrow{LA}\) = q - (1/2)·p  ii. \(\overrightarrow{AN}\) = (2/7)·(p - q)

b. The expressions for \(\overrightarrow{MN}\), \(\overrightarrow{LA}\), and \(\overrightarrow{AN}\) indicates;

\(\overrightarrow{MN}\) = (1/84)·(46·q - 11·p)

A vector is a quantity that has magnitude and direction and are expressed using a letter aving an arrow in the form, \(\vec{v}\)

a. i. \(\overrightarrow{LA}\) = \(\overrightarrow{BA}\) - \(\overrightarrow{LB}\) =  \(\overrightarrow{BA}\) - (1/2) × \(\overrightarrow{CB}\)

\(\overrightarrow{BA}\) - (1/2) × \(\overrightarrow{CB}\) = q - (1/2)·p

\(\overrightarrow{LA}\) = q - (1/2)·p

ii. \(\overrightarrow{AC}\) = \(\overrightarrow{BC}\) - \(\overrightarrow{BA}\)

\(\overrightarrow{AN}\) = (2/7) × \(\overrightarrow{AC}\)

\(\overrightarrow{AN}\) = (2/7) × \(\overrightarrow{BC}\) - \(\overrightarrow{BA}\)

\(\overrightarrow{AN}\) = (2/7) × (p - q)

b. \(\overrightarrow{MN}\) = \(\overrightarrow{MA}\) + \(\overrightarrow{AN}\)

\(\overrightarrow{MA}\) = (5/6) × \(\overrightarrow{LA}\)

\(\overrightarrow{LA}\) = q - (1/2)·p

\(\overrightarrow{AN}\) = (2/7) × (p - q)

Therefore;

\(\overrightarrow{MN}\) = (5/6) × ( q - (1/2)·p) + (2/7) × (p - q)

\(\overrightarrow{MN}\) = (1/84) × ( 70·q - 35·p + 24·p - 24·q) = (1/84)(46·q - 11·p)

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We are given an economy with two goods and Leontief consumers who have utility functions that depend on the minimum of the two goods. The initial endowments of the consumers are positive, and we are assuming that the aggregate endowment of the economy has more of the first good than the second. If a price system p=(p1,p2) is an equilibrium with market clearing, we need to show that p1=0 and p2>0.

We start by considering the demand function for a Leontief consumer, which is given by xi1(p) = xi2(p) = (p1 + p2)mi/pi, where mi represents the initial endowment of consumer i and pi represents the price of good i.

Since the aggregate endowment ω=(ω1,ω2) of the economy satisfies ω1 > ω2, we know that the total supply of the first good is greater than the total supply of the second good.

Now, if p1 > 0, then for any positive value of p2, the demand for the second good xi2(p) will be positive for all consumers. This implies that the total demand for the second good will be greater than the total supply, leading to a market imbalance.

To achieve market clearing, where total demand equals total supply, we must have p1 = 0. This is because if p1 = 0, the demand for the first good xi1(p) will be zero for all consumers, and the total supply of the first good will match the total supply. Additionally, p2 must be positive to ensure positive demand for the second good.

Therefore, we have shown that in an equilibrium price system with market clearing, p1 = 0 and p2 > 0, given the initial endowment condition ω1 > ω2.

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It is improper to speak about the probability that the population mean is in a given confidence interval because a confidence interval is a statement about the precision of an estimate.

A confidence interval is constructed based on a sample from the population and is meant to provide an estimate of the range within which the true population parameter, such as the mean, is likely to fall. The confidence level associated with the interval represents the long-term success rate of the method used to construct the interval.

However, once the interval is constructed, it either contains the true population mean or it does not. The population mean is not a random variable that has a probability of being within a particular interval. Rather, it is a fixed but unknown value. Therefore, it is incorrect to assign a probability to the population mean being in a given confidence interval.

Instead, the correct interpretation of a confidence interval is that if the same sampling procedure were repeated many times, a certain percentage (represented by the confidence level) of the resulting intervals would contain the true population mean.

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C = 3n/5 + 3 is the equation for the taxi journey from a graph that is required for this question.

A graph in mathematics is made up of nodes, also known as vertices, and the edges that connect them. The edges reflect the links or relationships between the nodes, which can represent a wide variety of items like as people, places, or concepts.

Graphs are frequently visualised as diagrams where the nodes are represented as points or circles and the edges as connecting lines. They are frequently employed in a variety of disciplines, including physics, engineering, computer science, and the social sciences.

Given is the cost of a cab as a function of distance is shown in a graph.

To locate the n-based formula for C.

The presented graph shows the cost of a cab on the y-axis and the number of miles (n) on the x-axis (C).

It is evident from the above graph that the line traverses points (0,3) and (5,6). Thus, the line's equation is:

\(y - y_{1} = (y_2-y_1)(x-x_1)/(x_2-x_1)\)

y-3= (6-3)(x-0)/(5-0)

y-3 = 3x/5

Add 3 on LHS and RHS:

y = 3x/5 + 3

Put y=C and x=n in order to obtain:

C = 3n/5 + 3

Which is the required equation.

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Store Q, because the ratio of the number to the cost is 1:6 in Store P and 1:5 in Store Q.

Thus, option a explains which store has a better buy

Given:

Store P

Number of T-shirts | Cost (in $) 3 $18 6 $36 9 $54

Store Q

Number of T-shirts | Cost (in $) 2 $10 4 $20 8 $40

For store P

The ratio of the number to the cost = 3:18 = 1:6

This implies 1 T-shirt costs $6

For store Q

The ratio of the number to the cost = 2:10 = 1:5

This implies 1 T-shirt costs $5

Thus, store Q has a better buy

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We have found two quadratic functions with x-intercepts (-5,0) and (5,0): f(x) =\(x^2 - 25\), which opens upward, and g(x) = \(-x^2 + 25\), which opens downward.

For the quadratic function that opens upward, we can use the x-intercepts (-5,0) and (5,0) to set up the equation:

f(x) = a(x + 5)(x - 5)

where a is a constant that determines the shape of the parabola. If this function opens upward, then a must be positive. Expanding the equation, we get:

f(x) = a(x^2 - 25)

To determine the value of a, we can use the fact that the coefficient of the x^2 term in a quadratic equation determines the shape of the parabola. Since we want the parabola to open upward, we need the coefficient of x^2 to be positive, so we can set a = 1:

f(x) = x^2 - 25

For the quadratic function that opens downward, we can use the x-intercepts (-5,0) and (5,0) to set up the equation:

g(x) = a(x + 5)(x - 5)

where a is a constant that determines the shape of the parabola. If this function opens downward, then a must be negative. Expanding the equation, we get:

g(x) = a(x^2 - 25)

To determine the value of a, we can use the fact that the coefficient of the x^2 term in a quadratic equation determines the shape of the parabola. Since we want the parabola to open downward, we need the coefficient of x^2 to be negative, so we can set a = -1:

g(x) = -x^2 + 25

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The total amount of dish soap added to both amounts will be 786.89 ml.

Describe addition.

In math, addition is the process of adding two or more integers together.

Since you currently have 224.14 mL of dish soap at home, you decide to buy a 562.75 ml container of it.

We will combine the two amounts together to get the total amount of dish soap.

Dish soap is 786.89 ml total (562.75 ml plus 224.14 ml).

Consequently, there is 786.89 ml of dish soap in total.

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Answer:

3 comedies is to 1 action movie

6 comedies ÷ 3 actions = 2 comedies

96 minimum sample size required to have 95% confidence that the variance of the sample is within 20% of the variance of the population.

Given that,

We have to determine the minimal sample size required to have 95% confidence that the variance of the sample is within 20% of the variance of the population.

We know that,

Confidence Interval is CI=95%

Variance is σ²=20%

We have

n=(Z/M.E)²

n=(1.96/0.20)²

n=(9.8)²

n=96.04

Therefore, 96 minimum sample size required to have 95% confidence that the variance of the sample is within 20% of the variance of the population.

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Sample space of randomly selecting a US state is 50, the probability that the US state begins with M is 4/25, and the probability that it doesn't begin with a vowel is 2/5.

a. What is the sample space?The sample space for randomly selecting one of the 50 US states is 50, i.e., the list of the 50 states.

b. What is the probability that it begins with M?The number of states that begin with M is 8. Therefore, the probability that the randomly selected US state begins with M is 8/50 or 4/25.

c. What is the probability that it doesn't begin with a vowel?There are 20 US states that don't begin with a vowel. Therefore, the probability that a randomly selected US state doesn't begin with a vowel is 20/50 or 2/5.

Randomly selecting a US state requires knowing the sample space, which in this case is 50. A sample space represents all possible outcomes of a random experiment. Therefore, the sample space for this problem represents the list of all 50 US states that can be randomly selected. The probability that a randomly selected US state begins with M can be calculated by dividing the number of states that begin with M by the total number of states. There are 8 US states that begin with M, hence, the probability of selecting a state that begins with M is 8/50 or 4/25. Finally, the probability that the randomly selected US state doesn't begin with a vowel is 20/50 or 2/5.

In conclusion, the sample space of selecting a US state randomly is 50, the probability that it begins with M is 4/25, and the probability that it doesn't begin with a vowel is 2/5.

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Annaliese spent 6 minutes longer on Friday to practice piano.

Annaliese spent  28 minutes on Thursday to practice piano.

And she spent 34 minutes  on Friday for piano practice.

To find how much longer she spent on Friday, we have

The extra time spend on Friday=Time spent on Friday - Time spent on Thursday.

Extra time=34 minutes-28 minutes

Extra time=6 minutes.

Subtraction

Subtraction is to remove a value from another to get a desired value.

Rules to subtract

Any positive or negative number can result from subtracting two positive numbers.

Any positive or negative integer can be obtained by subtracting two negative values.

Therefore, Annaliese practiced piano for 6 minutes longer on Friday than on Thursday.

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Answer:

if you need the compound equality it is 2800 ≤ 850 + 12m ≤ 4500

Step-by-step explanation:

m= minutes 2800 is the minimum 4500 is the maximum 850 is from the people already in the park and 12m came from the people coming in per minute so i multiplied the 12 by m

Answer:

a) 70 azulejos

b) 37500 litros

c) 37.5m³

Step-by-step explanation:

A piscina tem 5 m de comprimento, 3 m de largura e 2,5 m de profundidade.

Comprimento = 5m

Largura = 3m

Profundidade (altura) = 2,5 m

Calcular:

a) A quantidade de ladrilhos necessária para cobrir a piscina

Isso é calculado como a área de superfície da votação

A = 2 (wl + hl + hw)

A = 2 × (3 × 5 + 2.5 × 5 +2.5 × 3)

A = 70 m²

Observe que:

1 m² = 1 azulejo

70 m² = 70 azulejos

b) A quantidade de água que pode caber na piscina.

1 m³ = 1000 litres

O volume de uma piscina = Comprimento × Largura × Altura

= 5m × 3m × 2.5m

= 37.5m³

1 m³ = 1000 litros

37.5m³ =

37.5 × 1000 litros

= 37500 litros

c) seu volume em m³

O volume de uma piscina = Comprimento × Largura × Altura

= 5m × 3m × 2.5m

= 37.5m³

Answer:  The correct symbol is '<'.

Step-by-step explanation:

Given: In triangle GHJ

\(m\angle H=85^{\circ}\) and \(m\angle G=60^{\circ}\)

Here angle H is opposite to side JG and angle G is opposite to side HJ

We know that,

The side opposite to the greater angle of a triangle is greater.

Since \(m\angle H> m\angle G\)

Then, JG > HJ

Hence, HJ     <       JG

Answer:

Refers to the attachment given below!

Step-by-step explanation:

Answer:

x = 38.7

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

tan theta = opposite/ adjacent

tan x = 8/10

Take the inverse tan of each side

tan ^-1 ( tan x) = tan ^-1 (8/10)

x = tan ^-1 (8/10)

x =38.65980825

To the nearest tenth

x = 38.7

Answer:

38.7

Step-by-step explanation:

Using conversion, Beau can make 48 one-ounce bags of trail mix from the 3-pound trail mix he bought for the hike.

To know how much one-ounce bags of trail mix can he make from the 3-pound trail mix, convert first the amount of trail mix in pounds to ounce.

In mathematics, conversion is the process of changing the value of one form or unit to another. It can be changing ones unit of length, weight, volume or even currency to another.

Converting pounds to ounce,

1 pound = 16 ounces.

If Beau has 3 pounds of trail mix, equivalently, converting pounds to ounces, he has:

1 pound = 16 ounces

3 pounds = 3(16 ounces)

3 pounds = 48 ounces

If he wants to make one-ounce bag of trail mix from the 3-pound of trail mix (= 48 ounces), divide it by one ounce to get how many bags he can make.

number of one-ounce bag = 48 ounces/1 ounce

number of one-ounce bag = 48

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Answer:

hi

Step-by-step explanation:

hi

Answer:

it would be x= 10/3

Step-by-step explanation: If this answer is incorrect my apologies.

Answer:

D. Terms that have identical variable parts

Step-by-step explanation:

Like terms refers to terms that have identical variable parts.

For example:

Given the expression

2xy + z + x + 3y - 5z + 4y - xy + 3x

The like terms in the expression are:

2xy - xy= xy

z - 5z= -4z

x + 3x= 4x

3y + 4y=7y

The new expression will be

xy - 4z + 4x + 7y

Answer:

a. 3 heures

b. 3 km

Step-by-step explanation:

a. Pour parcourir 18 km, un randonneur met 18 km / 6 km/h = 3 heures.

b. Pour parcourir une distance en 30 minutes, la vitesse est de 18 km / 3 heures = 6 km/h, donc la distance parcourue en 30 minutes est 6 km/h * 30 min / 60 min = 3 km.

9514 1404 393

Answer:

  39 pages per week

Step-by-step explanation:

(331.5 pages)/(8.5 weeks) = 39 pages/week

Answer:

3

Step-by-step explanation:

Given,

v = 54

l = 6

w = 3

To find : Value of h = ?

Formula : -

v = lwh

h = v/lw

h = 54/( 6 × 3 )

= 54/18

h = 3

Hence, the value of h is 3.

If rxy = 0.83, we can conclude that x and y have a relatively strong positive linear relationship or correlation.

The correlation coefficient (r) measures the strength and direction of the linear relationship between two variables, in this case, x and y. The value of r ranges between -1 and 1. A positive value indicates a positive relationship, meaning that as one variable increases, the other variable tends to increase as well.

In this case, with rxy = 0.83, the correlation coefficient is close to 1, suggesting a strong positive linear relationship. This means that when x increases, y also tends to increase, and vice versa. The closer the value of r is to 1, the stronger the linear relationship between x and y.

It is important to note that correlation does not imply causation. While a high correlation coefficient indicates a strong linear relationship, it does not provide information about the underlying cause or direction of the relationship between the variables. Other factors and variables may influence the relationship, and further analysis may be required to understand the nature of the relationship between x and y.

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a. The length and measures of the missing side and angles in triangle ABC are:

AB = 70.77

∠A ≈ 47.3°

∠B ≈ 42.7°

b. The measure and lengths of the angle and missing sides in triangle XYZ are:

∠Y = 60°

h = 17.32

XY = 34.64

From the question, we are to solve the given triangles for the missing sides and angles

Triangle ABC is a right triangle,

Thus,

From the Pythagorean theorem, we can write that

AB² = BC² + CA²

AB² = 52² + 48²

AB² = 5008

AB = √5008

AB = 70.77

Using SOH CAH TOA,

tan (A) = BC/CA

tan (A) = 52 / 48

∠A = tan⁻¹(52/48)

∠A = 47.2906°

∠A ≈ 47.3°

∠A + ∠B = 90° (Complementary angles)

∠B = 90° - 47.2906°

∠B = 42.7094°

∠B ≈ 42.7°

b.

Since ∠Z = 90°

Triangle XYZ is a right triangle.

Thus,

We can write that

∠X + ∠Y = 90° (Complementary angles)

∠Y = 90° - 30°

∠Y = 60°

From SOH CAH TOA

tan (30°) = YZ/ZX

tan (30°) = h / 30

h = 30 × tan (30°)

h = 17.32

Also,

cos (30°) = ZX / XY

cos (30°) = 30 / XY

XY = 30 / cos(30°)

XY = 34.64

Hence,

∠Y = 60°

h = 17.32

XY = 34.64

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