1
Which is the equation of a line that has a slope 1/2 and passes through point (2, -3)?
Oy-x-4
0y=x-2
Oy-x+2
Oy=x+3

Answer:

-11

Step-by-step explanation:

Answer:

\(x=-11\)

Step-by-step explanation:

\(-1=\frac{\left(5+x\right)}{6}\)

Switch sides:

\(\frac{\left(5+x\right)}{6}=-1\)

Multiply both sides by 6:

\(\frac{6\left(5+x\right)}{6}=6\left(-1\right)\)

\(5+x=-6\)

Subtract 5 from both sides:

\(5+x-5=-6-5\)

\(x=-11\)

The Rule is \(2^x\).

The type of function is exponential.

Formula is \(y=2^x\).

What does exponential function mean?

A mathematical function of the following format is an exponential function:

\(f(x)=a^x\), where a is a constant which is also called the base of the function and x is a variable.

The information we can get from the given table is

when x=-2, y= 1/4=\(2^{-2}\)

when x=-1, y=1/2=\(2^{-1}\)

when x=-0, y=1=\(2^0\)

when x=1, y=2=\(2^1\)

when x=2, y=4=\(2^2\)

when x=3, y=8=\(2^3\)

By observing all the points, we know that \(y=2^x\).

Therefore the rule for the table is \(f(x)=2^x\).

The Formula for the given table is \(y=2^x\).

The type of function is exponential.

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Answer:

60>x>25

Step-by-step explanation:

Answer:

For 1st both both a and b lies on the graph but for 2nd only a lies on the graph

Step-by-step explanation:

Answer:

The expression you can use to find out how many boys is b + (b - 84) = 1824

There are 954 boys at Southside High School

There are 870 girls at Southside High School

Step-by-step explanation:

Assume that the number of boys in the Southside High School is b

∵ There are b boys in the Southside High School

∵ The number of girls is 84 fewer than boys

→ Subtract 84 from b to find the number of girls

∴ The number of girls in the Southside High School is (b - 84)

∵ Southside High School has a total of 1824 students

→ That means the sum of the numbers of the boys and the girls is 1824

∴ b + (b - 84) = 1824

∴ The expression you can use to find out how many boys is

   b + (b - 84) = 1824

→ Add the like terms in the left side

∴ (b + b) - 84 = 1824

∴ 2b - 84 = 1824

→ Add 84 to both sides

∵ 2b - 84 + 84 = 1824 + 84

∴ 2b = 1908

→ Divide both sides by 2 to find b

∵ \(\frac{2b}{2}=\frac{1908}{2}\)

∴ b = 954

∴ There are 954 boys at Southside High School

∵ The number of girls at Southside High School = b -84

→ Substitute b by 954

∴ The number of girls at Southside High School = 954 - 84

∴ The number of girls at Southside High School = 870

∴ There are 870 girls at Southside High School

Both numbers are divisible by 2, 2 and 7.

What is Greatest Common Factor?

The greatest common factor (GCF) is the largest number that divides two or more numbers evenly. It is also known as the greatest common divisor (GCD) or highest common factor (HCF).

If 28 is the greatest common factor of two numbers, it means that both numbers have 28 as a factor. Thus, both numbers are divisible by 2, 2 and 7.

Additionally, the prime factorization of each number must contain all of the prime factors that are factors of 28, which are 2 and 7. However, there may be other prime factors as well. Without additional information, it is not possible to determine the complete prime factorization of each number.

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Mr. Garcia's classroom had 23 students.

Let's denote the number of students in Mr. Cooper's classroom as C and the number of students in Mr. Garcia's classroom as G.

Given that Mr. Cooper's classroom had 5 tables with 4 students at each table, we can write:

C = 5 * 4 = 20

It is also given that Mr. Garcia's classroom had 3 more students than Mr. Cooper's classroom, so we can write:

G = C + 3

Substituting the value of C from the first equation into the second equation, we get:

G = 20 + 3 = 23

Therefore, Mr. Garcia's classroom had 23 students.

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Answer:

[(6 + x) / 13+x] = 0.65

7

Step-by-step explanation:

Given that:

Total number of games = 13

Number of correct prediction = 6

Number of correct predictions needed to raise prediction % to 65%

(Number of correct predictions) / (total number of games) = 0.65

Let x = number of additional consecutive correct predictions

[(6 + x) / 13+x] = 0.65

Where x = number of consecutive predictions required

6 + x = (13 + x) * 0.65

6 + x = 8.45 + 0.65x

x - 0.65x = 8.45 - 6

0.35x = 2.45

x = 2.45 / 0.35

x = 7

7 consecutive correct predictions

The equation modeling function g after the given transformations on the parent sine function is:

g of (x) = A x sine(C(x minus D))+k

where A is the vertical stretch factor, C is the reciprocal of the horizontal stretch factor, D is the horizontal shift, and k is the vertical shift.

Substituting the given values, we get:

g of (x) = 3*sine((1/1)(x+1))+(-4)

Simplifying further, we get:

g of (x) = 3*sine of (x+1)-4

Therefore, the equation modeling function g is g of (x) = 3*sine(x+1)-4 after the given transformations on the parent sine function.

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Answer:

Incorrect

Step-by-step explanation:

150 students are 100%,

82 students are x%

(82*100)/150=54,67%, so  that is more than half of all students

Answer:

Marco is NOT correct

Step-by-step explanation:

150 / 2 = 75

so more than half of the students were 6th graders

55% of students were 6th graders, that's my benchmark but I'm not really sure.

A number of Appropriate Subsets of the Set: There are 2n - 1 appropriate subsets of the set for every n element in the set.

A set contains elements or members that can be mathematical objects of any kind, including numbers, symbols, points in space, lines, other geometric shapes, variables, or even other sets.

A set is a mathematical model for a collection of various things.

A set with a single element is a singleton, while a set with no elements is an empty set.

A set can either be infinite or have a finite number of elements.

If all of the elements in two sets are identical, then the sets are equal.

The number of subsets of a set is 2n if the set has 'n' items.

A number of Appropriate Subsets of the Set: If a set has 'n' items, then 2n - 1 is the number of appropriate subsets of the set.

Therefore, a number of Appropriate Subsets of the Set: There are 2n - 1 appropriate subset of the set for every n element in the set.

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Correct question:

The number of distinct proper subsets of a set with n elements is ____.

The normal distribution of x has a mean of 100 and a standard deviation of 20. The probability that x is greater than 145 is P(x > 145) = 0.0122.

Probability is simply the possibility that something will happen. Since we don't know how something will turn out, we can talk about the possibility of one outcome or the likelihood of several. Statistics is the study of events that fall into a probability distribution. The ratio of favorable events to all other outcomes in the sample space is the standard definition of probability. The probability of an event is calculated using the formula P(E) = (Number of favorable outcomes) (Sample space). Probability is the study of possible outcomes of events, together with their relative probabilities and distributions.

x ~ N (100.20), μ=100, σ= 20

So, x-100/20~ N(0,1)

P(x>145) = 1-P( x ≤ 145)     {P(x>a) = 1-P(x ≤ a)}

              = 1-P( x-100/20 ≤ 145-100/20)

              = 1-P( x-100/20 ≤ 145-2.25)

              = 1 - ∅ (2.25)    {By the standard normal distribution table}

              = 1- 0.9878

              = 0.0122

{∅(x) is the distribution function of the standard normal distribution table}

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Answer:

0, 5%, 1/5, 5

5% is equal to 5÷100=0,05

1/5 is equal to 1÷5=0,2

The caloric content in candy A is 269 and that of candy B is 255.

The caloric content is the quantity of energy required to increase the temperature of one liter of water by one degree. A calorimeter was initially used to determine a food's calorie count.

Let us consider:

Caloric content of Candy A = x

Caloric content of Candy B = y

We can thereby make two equations:

Eqn 1: 1x + 2y = 779

Eqn 2: 2x + 1y = 793

By elimination method, we have

2x + 4y = 1558

Solving for x by subtracting with Eqn 2, we have,

3y = 765

y = 765 ÷ 3

y = 255.

Now substituting the value of y in Eqn 2, we have:

2x + 1y = 793

2x + 1 × 255 = 793

2x + 255 = 793

2x = 793 - 255

2x = 538

x = 538 ÷ 2

x = 269.

Hence caloric content in candy A is 269 and that of candy B is 255.

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Step-by-step explanation:

Mid-point = [ ((x₁ + x₂) ÷ 2)   ,    ((y₁ + y₂) ÷ 2) ]

                =  [ (4 + (-4)) ÷ 2] , [(9 + 2) ÷ 2]

                = ( 0 , ¹¹/₂ )

Answer:

Javier walks more steps than ebony given the same minutes

Step-by-step explanation:

Javier records a walk of 6000 steps in 50 minutes.

Ebony describes her step rate with the equation y=118x

Where,

y = number of steps

x = number of minutes she walks

Javier and Ebony each walk a total of 5 hours. Who walks more steps?

5 hours = 5 × 60 minutes

= 300 minutes

Javier records a walk of 6000 steps in 50 minutes.

6000 : 50 minutes = x : 300 minutes

6000/50 = x / 300

Cross product

6000 * 300 = 50 * x

1,800,000 = 50x

x = 1,800,000 / 50

= 36,000

x = 36,000

Javier walks 36,000 steps

Ebony describes her step rate with the equation y = 118x

x = 300 minutes

y = 118(300)

= 35,400

y = 35,400

Ebony walks 35,400 steps

Therefore,

Javier walks more steps than ebony given the same minutes

Answer:

320

Step-by-step explanation:

cheerleaders =1

football team members=2

2+1=3

football team members= 480 ×2/3

=320

Answer:

A vector graphic consists of a set of instructions for creating a picture is a true statement.

Step-by-step explanation:

A vector graphic is an image format that represents images as a set of mathematical instructions or geometric primitives such as lines, curves, and shapes. Instead of using a grid of pixels like raster graphics, vector graphics define images based on mathematical formulas and coordinates.

These instructions or mathematical representations describe the shapes, colors, and other visual attributes of the image. They allow the image to be scaled, resized, and manipulated without loss of quality since the instructions can be recalculated and redrawn at any resolution or size.

Vector graphics are often created and edited using specialized software such as Adobe Illustrator, CorelDRAW, or Inkscape. They are commonly used for logos, illustrations, diagrams, typography, and other graphical elements where scalability and flexibility are important.

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The probability to obtain a response from at least 1 household 0.1.

This is a statistical statement. It is the ratio of a favorable outcome to the total possible outcome.

We use probability to know how much it is possible to occur an event.

Given, total household =10

the probability to obtain a response from at least 1 household is 1/10

  the probability =1/10 = 0.10

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Answer:

48 is the lowest common denominator.

Step-by-step explanation:

\(\frac{1}{16}+\frac{3}{18}\)

\(\frac{18+16(3)}{16*18}\)

\(\frac{66}{288}\)       /2

\(\frac{33}{144}\)      /3

\(\frac{11}{48}\)

Therefore the lowest common denominator of both the fractions is 48.

Step-by-step explanation:

Hope it will help you a lot.

Answer:

um, I checked the questions you asked and we have the same questions, I think we might be in the same school lol

There are 4.9 x 10³ times greater is the mass of a gold atom than the mass of a helium-4 atom.

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications.

For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

We have to given that;

The mass of a gold atom is 3.29 x 10⁻²² grams.

And, The mass of a helium-4 atom is, 6.65 x 10⁻²⁴ grams.

Hence, The amount of greater is the mass of a gold atom than the mass of a helium-4 atom is,

⇒ 3.29 x 10⁻²² /  6.65 x 10⁻²⁴

⇒ 0.49 x 10²

⇒ 4.9 x 10³

Thus, There are 4.9 x 10³ times greater is the mass of a gold atom than the mass of a helium-4 atom.

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Applying the inequality theorem of two triangles, the possible value of x is: 37 > x or x < 37.

Based on the inequality theorem of two triangles we have the following:

since 50 degrees is bigger than 16 degrees, and AB is congruent to BC, therefore side CD is greater than side AD.

Thus, we will have:

56 > 2x - 18

Add 18 to both sides:

56 + 18 > 2x [addition property of equality]

74 > 2x

Divide both sides by 2:

74/2 > x [division property of equality]

37 > x

or x < 37

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This chart does not represent a function, as the input of -3 is mapped to two different outputs.

A relation represents a function if each value of the input is mapped to only one value of the output, that is, one input cannot be mapped to multiple outputs.

For a point in the standard format (x,y), we have that:

From the table, we have points (-3, 11) and (-3,12), meaning that the input of -3 is mapped to outputs of 11 and 12, hence the relation does not represent a function.

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Answer:

\(\frac{-x^{2}+5x-1}{2x^{2} -x-1}\)

Step-by-step explanation:

The function f(x, y) = \(x^2 + y^2\)is subject to the constraint \(x^2 - 2x + y^2 - 4y\)= 0. The final result of the double integral over D as π/2.

To find the extreme values of f(x, y), we can use the method of Lagrange multipliers. Setting up the Lagrangian L(x, y, λ) = f(x, y) - λ(g(x, y)), where g(x, y) =\(x^2 - 2x + y^2 - 4y\), we have L(x, y, λ) =\(x^2 + y^2 - λ(x^2 - 2x + y^2 - 4y)\). Taking the partial derivatives of L with respect to x, y, and λ, and setting them equal to zero, we obtain a system of equations to solve.

Solving the system of equations, we find two critical points: (1, 2) and (1, 2). To determine whether these points correspond to maximum or minimum values, we evaluate the second-order partial derivatives of f(x, y). Calculating the second partial derivatives, we find that the determinant of the Hessian matrix is positive for both points, and the second partial derivative with respect to x is positive. Therefore, both points correspond to minimum values of f(x, y).

To compute the double integral ∬D 2y dy dx over the region D defined by 0 ≤ x ≤ π and 0 ≤ y ≤ cos(x), we reverse the order of integration and evaluate the integral as ∫₀^π ∫₀^cos(x) 2y dy dx. Integrating with respect to y first, we get ∫₀^π [y²] from 0 to cos(x), which simplifies to ∫₀^π cos²(x) dx. Applying the trigonometric identity cos²(x) = (1 + cos(2x))/2, we have ∫₀^π [(1 + cos(2x))/2] dx. Integrating this expression yields [x/2 + (sin(2x))/4] evaluated from 0 to π. Substituting the limits, we obtain the final result of the double integral over D as π/2.

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Answer:

B.

Step-by-step explanation:

for decimals, you start with tenths, so it would be thousandths

Answer:

-7x - 3y -5

Step-by-step explanation:

Answer:

-7x - 3y - 5

Step-by-step explanation:

In this question, you will simplify the expression given.

Solve:

(4y - 3x - 2) - (7y + 4x + 3)

Use the distributive property.

4y - 3x - 2 - 7y - 4x - 3

Combine like terms.

4y - 3x - 2 - 7y - 4x - 3

-7x + 4y - 2 - 7y - 3

-7x - 3y - 2 - 3

-7x - 3y - 5

Since we can't simplify further, your final answer would be -7x - 3y - 5

the test's finding at the 5% level of significance is that the true average longevity is not less than claimed.

The following is a definition of the test's hypothesis:

H0: The actual average lifetime, which is > 750 hours, is not less than what is stated

Ha! The actual average lifespan, at 750 hours, is less than what is advertised.

The examination is left-tailed.

Making a decision:

The null hypothesis is rejected if the test's p-value is less than the significance level (), and vice versa.

The test's p-value is calculated as,

0.016 as the p-value

(a)

The level of significance is 0.05.

The p-value is equal to 0.016/0.05.

The null hypothesis was rejected since the test's p-value was lower than the threshold for significance.

Consequently, the test's finding at the 5% level of significance is that the genuine average lifetime is shorter than

(b)

The level of significance is = 0.01.

The p-value is equal to 0.016 > = 0.01.

The null hypothesis could not be rejected since the p-value of the test was greater than the level of significance.

Therefore, the test's finding at the 5% level of significance is that the true average longevity is not less than claimed.

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