−1−(−5x)−2x+2x 2 +7
Simplify this expression as much as possible

9514 1404 393

Answer:

Step-by-step explanation:

The coefficients of y are opposites. Adding opposites results in a sum of 0. The y-term will be eliminated by adding the equations.

The result of that addition is ...

  (5x +6y) +(5x -6y) = (32) +(8)

  10x = 40

Answer:

8 pigs

Step-by-step explanation:

Since every animal has only 1 head, a total of 26 heads suggests that there are 26 animals in total.

Suppose all animals are chickens.

Total no. of feet = 26 chickens × 2 feet

                           = 52 feet

Difference in total no. of feet = 68 feet - 52 feet

                                                = 16 feet

Difference in no. of feet each animal has

= 4 feet (a pig) - 2 feet (a chicken)

= 2 feet

∴ No. of pigs = 16 feet ÷ 2 feet

                      = 8 pigs

Answer: 4/10 , 6/15, 8/20,

Step-by-step explanation:

Answer:  Equivalent fractions of 2/5 : 4/10 , 6/15 , 8/20 , 10/ Equivalent fractions of 3/5 : 6/10 , 9/15 , 12/20 , 15/

Step-by-step explanation:

9514 1404 393

Answer:

  the numbers are -10 and -11

Step-by-step explanation:

Let x represent the second number. Then the first number is x+1, and the relation can be written ...

  5(x+1) = 4x -6

  x = -11 . . . . . . . . subtract 4x+5

The first number is -10; the second number -11.

All the statements are incorrect.

Option a is a false statement. If n is even, then n2 + 1 might not be a prime number. e.g. let n is 8, then n² be 64, and n² + 1 is 65, which is not a prime number.

Option b is a false statement. If n is even, then n2 + 1 might be a prime number. e.g. let n is 2, then n² be 4, and n² + 1 is 5, which is a prime number.

Option c is a false statement. If n is not even i.e. odd, then n² + 1 might not be a prime number. e.g. let n is 3, then n² be 9, and n² + 1 is 10, which is not a prime number.

Option d is a false statement. If n is not even i.e. odd, then n² + 1 might be a prime number. e.g. let n is 1, then n² be 1, and n² + 1 is 2, which is a prime number.

So, all the statements are incorrect.

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Answer:

\(33\) times

Step-by-step explanation:

Distance between Earth and the sun \((D)\) = 9 × \(10^{7}\) miles = \(90,000,000\) miles

Distance between Neptune and the sun \((d)\) = 3 × \(10^{9}\) miles = \(3,000,000,000\) miles

Find \(\frac{d}{D}\).

\(\frac{d}{D}=\frac{3,000,000,000}{90,000,000} =33.3\) ≈ \(33\)

Therefore,

Neptune is approximately \(33\) times farther from the sun than earth

Answer:

Each bus could take 44 Students.

Step-by-step explanation:

(405-9) / 9

Answer:

44

Step-by-step explanation:

405 total students minus 9 students who traveled in cars=396 students

396 students divided by 9 buses=44 students per bus

Answer:

Step by step explanation:

well this is simble you just do it

A variable whose values are determined by chance is called a random variable. Simply assigning different values to each occurrence, such as 0 for heads and 1 for tails, can be used to define a random variable for the two outcomes of a coin toss: "Heads" and "Tails."

In the event that a coin is thrown twice, there are 4 potential results: { TT, HH, HT, and TH

We can determine the values of X and Y for each of the four outcomes if X is a random variable that represents the number of tails in two tosses (either 1, 2, or 3) and Y is a second random variable that represents the number of heads on the second flip of the coin (either heads (Y=1) or tails (Y=0).

HH, for instance, is X=0, Y=1. We know X=0 on the grounds that neither one nor the other throws was tails, so the quantity of tails is 0. Because the second toss resulted in heads, Y=1.

Adding the remaining X and Y values for the remaining three outcomes:

HH: X=0, Y=1

HT: X=1, Y=0

TH: X=1, Y=1

TT: We are asked to determine the probability that X=1, Y=0. The probability of X=1, Y=0 is simply the number of events with that pair of values divided by the total number of possible outcomes because each of the four outcomes is equally likely to occur. X and Y are equal only in HT. As a result, P(X=1, Y=0) equals 1/4.

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Answer: Four people are sharing two pizzas equally how much pizza will each person get.

Step-by-step explanation: I think they will share 1/2

If it's wrong sorry :(

With a mean of $32,500 and a standard deviation of $2,500. The z-score for a sales associate who earns $37,500 is 2.

The z-score, also known as a standard score, is a measure of how many standard deviations a given value is from the mean. It is used to standardize the data and make it easier to compare and interpret. The formula for the z-score is:

z = (x - μ) / σ

where x is the value of interest, μ is the mean, and σ is the standard deviation.

In this case, the mean annual salary for sales associates from a particular store is $32,500 and the standard deviation is $2,500. We want to find the z-score for a sales associate who earns $37,500. Plugging in the values, we get:

z = ($37,500 - $32,500) / $2,500 = 2

This means that the sales associate's salary is 2 standard deviations above the mean.

Interpreting the z-score can help us understand how unusual or typical a given value is in comparison to the mean. In this case, a z-score of 2 indicates that the sales associate's salary is relatively high compared to the mean, but it is not an extremely high salary.

We can use a standard normal table to find the proportion of the data that falls below a given z-score, or to find the corresponding value for a given proportion of the data.

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The solution for the given logarithmuc function is x = -1 or x = -4.

What is a logarithmic expression?

A logarithmic equation is one that involves the logarithm of a variable-containing expression. To solve exponential equations, first, determine whether both sides of the equation can be written as powers of the same number.

Property of logarithms: log(a) + log(b) = log(ab)

The given function is

                       \(log_{2}(x+2) + log_{2}(x+3)=1\)

By using the property of logarithms, we get

                       \(log_{2}(x+2) + log_{2}(x+3)=1\\\\log_2{[(x+2)(x+3)]}=1\\\\(x+2)(x+3)=2\\\\x^2+2x+3x+6=2\\\\x^2+5x+6-2=0\\\\x^2+5x+4=0\\\\(x+1)(x+4)=0\)

Simplifying, we get

                   x = -1   (or)  x = -4

Hence, the solution for the given logarithmuc function is x = -1 or x = -4.

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Answer: 4.8%

Step-by-step explanation: the total amount of pens in the drawer is (10+12+3)  = 25

the amount of red pens in the drawer is 3

the probability of picking out a red pen from the drawer = 3/25

the amount of blue pens in the drawer is 10

the probability of picking out a red pen from the drawer = 10/25

the probability of picking out a red pen then a blue pen afterwards = (10/25 x 3/25) = 4.8%

The point that represents (c.d)(4) on the graph is (4, -4).

The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.

The coordinates in a graph show the relationship between the information plotted on the given x-axis and y-axis.

We have,

Graph of (c.d)(x) is shown.

The equation of the graph.

y = mx + c

Coordinates from the graph.

(2, 0)

(0, 4)

m = 4/-2

m = -2

Consider (2, 0) = (x, y)

0 = -2 x 2 + c

0 = -4 + c

c = 4

The equation of the graph.

(c.d)(x) = -2|x| + 4

At x = 4,

(c.d)(x) = -2 x |4| + 4 = -8 + 4 = -4

Thus,

The point on the graph is (4, -4)

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The distance from the center of the Earth to the point where the net gravitational force is zero is one-ninth the distance from the Earth to the Moon.

Let's assume that the distance from the center of the Earth to this point is denoted as x.

Given:

Mass of the Moon (M\(_{moon}\)) = 1/81 × M\(_{earth}\)

Distance from Earth to Moon (d\(_{moon}\)) = distance on center

According to the principle of gravitational equilibrium, the gravitational force from the Earth and the gravitational force from the Moon acting on an object at that point must balance out. Mathematically, we can express this as:

F\(_{earth}\) = F\(_{moon}\)

The gravitational force between two objects can be calculated using Newton's law of universal gravitation:

F \(_{gravity}\)= G × (m₁ × m₂) / r²

Where:

G is the gravitational constant (approximately 6.67430 x 10⁻¹¹m²/kg/s²)

m₁ and m₂ are the masses of the two objects

r is the distance between the centers of the two objects

Considering the gravitational forces involved:

F\(_{gravity}\)\(_{earth}\) = G ₓ (M\(_{EARTH}\)  ₓ m\(_{OBJECT}\)) / (d\(_{earth}\))²

F\(_{gravity}\) \(_{moon}\) = G ₓ (M \(_{moon}\) ₓ m\(_{object}\)) / (d \(_{moon}\))²

Since we are looking for the point where the net gravitational force is zero, we set these two forces equal to each other:

G × (M\(_{earth}\) × m\(_{object}\)) / (d\(_{earth}\))²   =     G × (M \(_{moon}\) × m\(_{object}\)) / (d \(_{moon}\))²

Canceling out the common factors of G and m\(_object}\), and substituting the given values:

(M\(_{earth}\) × 1) / (d\(_{earth}\))² = (M \(_{moon}\) × 1) / (d \(_{moon}\))²

Rearranging the equation:

(d\(_{earth}\))²/ (M\(_{earth}\)) = (d \(_{moon}\))² / (M \(_{moon}\))

Taking the square root of both sides:

d\(_{earth}\) / √(M \(_{moon}\))) = d_moon / √(M \(_{moon}\))

Substituting the given values:

d\(_{earth}\) /√(M\(_{earth}\)) = d\(_{moon}\) / √(1/81 × M\(_{earth}\))

Simplifying further:

d\(_{earth}\)  / √(M\(_{earth}\)) =d\(_{moon}\)  / (1/9 × √(M\(_{earth}\)))

Multiplying both sides by √(M\(_{earth}\)):

d\(_{earth}\) = (1/9) × d\(_{moon}\)

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Answer:  \(\text{Line AE}=\overleftrightarrow{EA},\quad \overleftrightarrow{DA}, \quad \overleftrightarrow{AD},\quad \overleftrightarrow{ED},\quad \overleftrightarrow{DE},\quad \text{line r}\)

               \(\text{Segment AE}=\overline{EA}\)

Step-by-step explanation:

The line can be named using ANY two points on the line or using the lower case letter.

The segment can be named by placing the letters in any order.

\(\overline{AE}=\overline{EA}\)

The probability of getting a ham sandwich and corn chips is 1/6.

What is probability ?

In probability theory, probability is a measure of the likelihood of an event occurring. It is a number between 0 and 1, where 0 represents an impossible event and 1 represents a certain event. The probability of an event is calculated by dividing the number of favorable outcomes by the total number of possible outcomes.

The probability of getting a ham sandwich and corn chips is the product of the probabilities of getting a ham sandwich and corn chips separately.

Let's assume that the deli has an equal chance of choosing any of the three types of sandwiches and an equal chance of choosing either type of chips. Then, the probability of getting a ham sandwich is 1/3, and the probability of getting corn chips is 1/2.

Therefore, the probability of getting a ham sandwich and corn chips is:

P(ham sandwich and corn chips) = P(ham sandwich) x P(corn chips)

= 1/3 x 1/2

= 1/6

So, the probability of getting a ham sandwich and corn chips is 1/6.

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Answer: 30%

Step-by-step explanation:

Given, Percent of families subscribe to the morning newspaper =  50%

Percent of families subscribe to the afternoon newspaper = 65%

Percent of families subscribe to at least one of the two newspapers. = 85%

Now, percentage of the families subscribe to both newspapers = % for morning newspaper  +   % for afternoon newspaper - % for at least one of the two newspapers

= (50+65 - 85) %

=  30 %

Hence, the percentage of the families subscribe to both newspapers = 30%

According to the problem, we need to look for points on the curve.

• Points B, C, and D are on the curve.

However, which of them is more efficient?

In this problem, efficiency is represented by the equal distance from each axis. That is, the point which is equally distante from the origin and each axis, that point represents the most efficient.

Because it's equally distant from each axis and forms the greatest area, as you can observe in the image below.

Substituting into the formula for the perimeter of a rectangle, the perimeter is \(2\left(n+3 \frac{1}{2} n +4 \frac{1}{2} \right)=2n+7n+9=\boxed{9n+9}=\boxed{9(n+1)}\)

The order of the matrices of each product is given as follows:

AB is nonexistent, BA is nonexistent.

Multiplication of matrices is applied multiplying the rows of the first matrix by the columns of the second matrix, and hence the number of columns of the first matrix must be equal to the number of rows of the second matrix.

For the product AB, we have that:

Hence the product is nonexistent.

For the product BA, we have that:

Hence the product is nonexistent.

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Answer:

the answer is (-1,2), hope this helps.

First make the graph

these triangles have similar shapes, could be congruent

then we can use a law to simplify because the angle TQP and RQS are congruents too, because these are opposite by the vertex

if two angles of each triangle are congruents or equals the third will be congruent with the other

now we know the triangles have the same angles but the measures of the side are diferent but proportional to other triangle with the same angles

then on this case we will arrange the triangles to see which sides are equivalent

the siodes will be equivalents and proportional, for example the side of the left triange 4mi is proportional to the right triangle with 8mi, how we find the proportional ratio?

we divide the value of the triangle where I want to find an unknow between the value of the other triangle

the if we multiply the ratio but any side of the rignt triangle we will obtain the value of the side on left triang

If we divide the length of any side of the left triangle between the ratio we obtain the value of the other triangle

then to find m we multiply the equavalent side by the ratio

the value of 5 is 5 miles

if you want practice can find the equivalnte side to 3mi dividing the side between the ratio

side X is 6mi

The difference in the cost of the two plans after 18 months will be 240. The solution has been obtained using linear equations.

What is a linear equation?

A linear equation is one that has the highest degree of 1 possible. This indicates that there are no variables in a linear equation with exponents greater than 1. Such an equation on the graph, forms a straight line.

According to the table, the companies increase the cost by equal amount every month.

So, the linear equations for both the companies come out to be,

Company A: y=40+35x

Company B: y=10+50x

Therefore, after 18 months cost of both the companies will be

Company A:

y=40+35(18)

y=40+630

y=670

Company B:

y=10+50(18)

y=10+900

y=910

The difference in the cost of the two plans after 18 months will be

910-670= 240

Hence, the difference in the cost of the two plans after 18 months will be 240.

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I don't know whether it is correct but I think that that the answer Is b

Answer:

C. 3 1/4

Step-by-step explanation:

USING PEMDAS first do parenthesis (1/3 divided by 1/6). This equates to the number 2. Then you can look at the -(-1/2) because its a double negative, it turns positive. Finally add it all together. 3/4+2+1/2. this becomes 3 1/4

=================================

In the images is the graph of the line that passes through points A (3,2) and B (2, -1)

Also the equation of the line is y = 3x-7

Use two different applications Geogebra and Desmos

================================

En las imágenes está la gráfica de la recta que pasa por los puntos A(3,2) y B(2,-1)

Además, la ecuación de esa recta es y=3x-7

Use dos aplicaciones distintas Geogebra y Desmos

================================

Answer:

Magnitude of force is \(||v||\approx16.12\text{ lbs}\)

Step-by-step explanation:

\(||v||=\sqrt{x^2+y^2}\\||v||=\sqrt{(-8)^2+(14)^2}\\||v||=\sqrt{64+196}\\||v||=\sqrt{260}\\||v||\approx16.12\text{ lbs}\)