Need a step by step explanation please,very confused!

The system is inconsistent.

The two lines are parallel and never intersect.

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Work Shown:

Solving the 1st equation for y.

3x-y=18

-y=18-3x

y = -(18-3x)

y = -18+3x

y = 3x-18

Plugging that into the other equation to solve for x.

-2y=-6x-120

-2(y)=-6x-120

-2(3x-18)=-6x-120

-6x+36=-6x-120

-6x+6x=-120-36

0x = -156

0 = -156

We arrive at a false statement.

Therefore, this system has no solutions

The system is inconsistent.

If you were to use a graphing tool like Desmos or GeoGebra, then you'll see the two lines are parallel. They never intersect to form a solution.

Answer:

\(4x+3\)

Step-by-step explanation:

\(5x+4+(-x)-1\)

Remove parentheses: \((-a)=-a\)

\(=5x+4-x-1\)

Group like terms

\(=5x-x+4-1\)

Add similar elements: \(5x-x=4x\)

\(=4x+4-1\)

Add/subtract the numbers: \(4-1=3\)

\(=4x+3\)

Answer:

The distance between the bird houses are 10.26 feet

Step-by-step explanation:

The distance between the birdhouses is 10.26 feet.

A mathematical expression gets simpler when it is transformed into an equivalent, frequently shorter statement. One strategy for promoting uniformity in job effort, cost, and time is procedure simplification. It lessens diversity and variation that is harmful, unwanted, or unneeded.

Given, Penelope has a birdhouse that is 4 and 9/10 feet above the roof of her garage. She has a second birdhouse that is 5.36 feet below the roof of her garage. thus,

Distance between garage roof and birdhouse = 4.9 feet

Distance between garage roof and second birdhouse  = 5.36 feet

Since these birdhouses are in the opposite directions of the garage roof

Hence the total distance between them = 4.9 + 5.36

the total distance between birdhouses is 10.26 feet

Therefore, the Two birdhouses are 10.26 feet apart from each other.

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The value of the missing angles of the quadrilateral are:

a = 110°

b = 70°

c = 20°

Theorem sum of angles in a triangle states that they sum up to 180 degrees. Thus:

d = 180 - (78 + 32)

d = 70°

Similarly:

e = 180 - (78 + 32 + 18)

e = 20°

Sum of angles on a straight line is 180 degrees. Thus:

a = 180 - 70

a = 110°

We can see that e + b will be equal to 90 degrees because of the definition of right angles. Thus:

b = 90° - 20°

b = 70°

From sum of angles in a triangle as 180° is:

c = 180 - (90 + 70)

c = 20°

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Answer:

Right isosceles triangle

Step-by-step explanation:

I took the quiz and got it wrong, but it told me the correct answer

A right isosceles triangle has exactly 2 equal sides and one right angle.

Given that, a triangle has exactly 2 equal sides and one right angle.

Isosceles triangle: An isosceles triangle is a triangle that has two sides of equal length.

Right isosceles triangle: An isosceles right triangle is defined as a right-angled triangle with an equal base and height which are also known as the legs of the triangle.

Obtuse isosceles: An isosceles obtuse triangle is a triangle in which one of the three angles is obtuse (lies between 90° and 180°), and the other two acute angles are equal in measurement.

Right triangle: A right triangle is a triangle in which one angle is 90°.

Hence, right isosceles triangle has exactly 2 equal sides and one right angle.

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Answer:

The awnser is D

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

0 is the greatest because the other two are negatives

Answer:

1/4n-3

Step-by-step explanation:

Answer:

1/4n-3

Step-by-step explanation:

Took the quiz <3

To determine a cartesian equation for the curve given in parametric form by x(t) = 4 ln(9t), y(t) = √ t, we need to eliminate the parameter t.

Here are the following steps:

Therefore, the cartesian equation for the curve given in parametric form by x(t) = 4 ln(9t), y(t) = √ t is x = 8 ln(9y).

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Answer: 3,3,3,5,5,11

Step-by-step explanation:

please give brainliest

7425/3=2475

2475/3=825

825/3=275

275/5=55

55/5=11

11/11=1

so total of SIX prime factors

Answer: 100

Step-by-step explanation:

(3*12)+2 = 38

(5*12)+2 = 62

38+62 = $100

After solving the given equations the answer is an Infinite solution. Hence, option A is correct

Mathematical expressions with two algebraic symbols on either side of the equal (=) sign are called equations.

This relationship is illustrated by the left and right expressions being equal to one another. The left-hand side equals the right-hand side is a basic, straightforward equation.

As per the given equation in the question,

8 + 4x = 2x + 8 + 2x

Firstly, let's write the given equation in a simplified manner,

8 + 4x = 8 + 4x  

As we can see that LHS = RHS, which means that both equations are the same then which means they will give infinite solutions.

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Answer :A trapezoid has one pair of parallel sides and a parallelogram has two pairs of parallel sides. So a parallelogram is also a trapezoid. Carlos says, A trapezoid has at least one pair of parallel sides, but it can also have another.

Step-by-step explanation:

The area of the fountain is 18π or 56.55 square yards. Then the correct options are C and E.

It is a locus of a point drawn at an equidistant from the center. The distance from the center to the circumference is called the radius of the circle.

A fountain in the park has two circular pools that are the same size.

And the radius is 3 yards.

Area of fountain = two times area of a circle

The area of the circle will be

\(\rm Area\ of\ circle = \pi r^2\\\\Area\ of\ circle = \pi * 3^2\\\\Area\ of\ circle = 9\pi\\\\\)

Then the area of the fountain will be

Area of fountain = 2 × 9π

Area of fountain = 18 π

Area of fountain = 56.55

The area of the fountain is 18π or 56.55 square yards. Then the correct options are C and E.

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Answer:

-7 and -4

Step-by-step explanation:

The graph of the function f(x) = (x + 4)⁶ (x + 7)⁵ cross the X axis at x = -4 and x = -7.

A function is a relation from a set A to a set B where the elements in set A only maps to one and only one image in set B. No elements in set A has more than one image in set B.

Given is a function,

f(x) = (x + 4)⁶ (x + 7)⁵

When the function cross the X axis, the value of the function will be 0.

Let f(x) = 0

(x + 4)⁶ (x + 7)⁵ = 0

This implies that, either x + 4 = 0 or x + 7 = 0

x + 4 = 0 ⇒ x = -4

x + 7 = 0 ⇒ x = -7

Hence the roots are -4 and -7 where the function crosses the X axis.

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Answer: 20degrees

Step-by-step explanation: 138+22=160 180-160 = 20

The probability that at least 15 in the sample are among the group of athletes who have been told by coaches to neglect their studies is approximately 0.0998.

Probability can be used to make predictions or decisions in a variety of situations, such as in gambling, finance, and science. In these situations, probabilities can be calculated based on statistical data or by using mathematical models.

To find the probability that at least 15 in the sample are among the group of athletes who have been told by coaches to neglect their studies, we can use the binomial cumulative distribution function. This is given by:

$$P(X \ge 15) = \sum_{k=15}^{50} \binom{50}{k} (0.4)^k (0.6)^{50-k}$$

We can calculate this probability using a calculator or computer, or we can approximate it using the normal distribution. To do this, we can use the continuity correction and compute:

$$P(X \ge 15) \approx P\left(\frac{X-n p}{\sqrt{n p (1-p)}} \ge \frac{15 - 50 \cdot 0.4}{\sqrt{50 \cdot 0.4 \cdot 0.6}}\right) = P(Z \ge 1.28)$$

Where $Z$ is a standard normal random variable. Using a standard normal table or calculator, we find that $P(Z \ge 1.28) \approx 0.0998$.

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The 1st statement is true about the graph. Here the graph is a function with domain {0≤x≤5} and the range {-6≤y≤0}.

An organised representation of the data is all that the graph is. It facilitates our understanding of the facts.

The Latin term datum, which means "something delivered," is where the word data originated.

The development of a research question is followed by the ongoing observational collection of data.

Here in the question,

The graph is a function with domain {0≤x≤5} and the range {-6≤y≤0}.

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(a) To evaluate the integral JR x/(1+y^2) dA over the region R = [0,1] x [0,1], we can use the iterated integral:

∫[0,1] ∫[0,1] x/(1+y^2) dy dx.

Integrating with respect to y first, we have:

∫[0,1] [∫[0,1] x/(1+y^2) dy] dx.

The inner integral with respect to y is:

∫[0,1] x/(1+y^2) dy = [arctan(y)]|[0,1] = arctan(1) - arctan(0) = π/4.

Substituting this result back into the outer integral, we have:

∫[0,1] π/4 dx = (π/4) [x] |[0,1] = π/4.

Therefore, the value of the integral JR x/(1+y^2) dA over the region R = [0,1] x [0,1] is π/4.

(b) To evaluate the integral JR x sin(xy) dA over the region R = [0,3.14] x [0,1], we can again use the iterated integral:

∫[0,3.14] ∫[0,1] x sin(xy) dy dx.

Integrating with respect to y first, we have:

∫[0,3.14] [∫[0,1] x sin(xy) dy] dx.

The inner integral with respect to y is:

∫[0,1] x sin(xy) dy = [-cos(xy)/x] |[0,1] = (-cos(x) + 1)/x.

Substituting this result back into the outer integral, we have:

∫[0,3.14] (-cos(x) + 1)/x dx.

This integral does not have a simple closed-form solution, so we can approximate the value using numerical methods or evaluate it numerically using technology.

(c) To evaluate the integral JR (y-2) y dA over the triangular region R between the curves y = 0, y = x, and x = 1, we can again use the iterated integral:

∫[0,1] ∫[0,x] (y-2) y dy dx.

Integrating with respect to y first, we have:

∫[0,1] [∫[0,x] (y-2) y dy] dx.

The inner integral with respect to y is:

∫[0,x] (y-2) y dy = (1/3)x^3 - x^2.

Substituting this result back into the outer integral, we have:

∫[0,1] [(1/3)x^3 - x^2] dx.

Evaluating this integral, we have:

[(1/12)x^4 - (1/3)x^3] |[0,1] = (1/12) - (1/3) = -1/12.

Therefore, the value of the integral JR (y-2) y dA over the triangular region R is -1/12.

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Answer:

=176 pi  units^2

Step-by-step explanation:

The surface area of a cylinder is given by

SA = 2 pi r^2 + 2 pi rh  where r is the radius and h is the height

     = 2 * pi * 8^2  + 2 pi *8*3

    = 128pi   + 48 pi

    =176 pi  units^2

Answer:

$0.25

Step-by-step explanation:

You can use systems of equations to solve this.

3a+2p = 1.25

5a+p = 1.5

Multiply the second equation by 2.

3a+2p = 1.25

10a+2p = 3

Subtract the bottom from the top

-7a= -1.75

Divide by -7

a= 0.25

Each apple is $0.25 (in this case, the peach also costs $0.25)

The value of x which will make the equation 8 + x = 32 true will be 24 thus, option (B) is correct.

There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of 2 mathematical expressions.

The equation must be constrained with some constraints.

As per the given equation,

8 + x = 32

Put x = 4

8 + 4 = 12 ≠ 32

Put x = 24

24 + 4 = 32 (so it will be the solution)

Hence "The value of x which will make the equation 8 + x = 32 true will be 24".

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The inequality that represents the situation is 8.50x < 35 and the pounds of shrimp Luna can buy is 4.

Inequality is a statement that two or more mathematical expressions are unequal.

Inequalities are represented as greater than (>), less than (<), greater than or equal to (≥), less than or equal to (≤), and not equal to (≠).

The cost price of shrimp per pound = $8.50

The total spending budget = $35

Let the number of pounds of shrimp Luna can buy = x

8.50x < 35

x = 4

Thus, the total amount Luna can spend on shrimp is $34 (4 x $8.50), which is less than $35.

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Answer:500

explanchion: 1000/50=500

The only number that is 10 times as much as 72 is 720.

To find the numbers that are 10 times as much as 72 or 1/10 of 72, we can perform the following calculations:

10 times 72 = 720

1/10 of 72 = 7.2

So, the numbers that are 10 times as much as 72 are 720.

The number 67 is not 10 times as much as 72 or 1/10 of 72. Therefore, it is not one of the numbers we are looking for.

On the other hand, 1/10 of 72 is 7.2, which is not one of the numbers we are looking for either.

Therefore, the only number that is 10 times as much as 72 is 720.

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complete question

Select all the numbers that are 10 times as much as 72, 67, or 1/10 of 72.

- 67

-46

-720

-480

The number of guests that will not let her divide the party favors to be evenly divided is:

numbers other than 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, and 60.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Number of party favors = 60

The factors of 60 are 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, and 60.

i.e

2 x 30 = 60

3 x 20 = 60

4 x 15 = 60

5 x 12 = 60

6 x 10 = 60

10 x 6 = 60

12 x 5 = 60

15 x 4 = 60

20 x 3 = 60

30 x 2 = 60

60 x 1 = 60

This means,

The number of guests other than the factors of 60 will not let her divide the party favors evenly.

Thus,

The number of guests in order for the party favors being evenly divided are

2, 3, 4, 5, 6, 10, 12, 15, 20, 30, and 60.

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Answer:

\( \frac{5}{8} + \frac{3}{16} \\ = \frac{5}{8} \times \frac{2}{2} + \frac{3}{16} \\ = \frac{10}{16} + \frac{3}{16} \\ = \frac{13}{16} \\ thank \: you\)

Answer:

13/16

Step-by-step explanation:

first make equal denominators

(5/8) x 2 = 10/16

= 10/16 + 3/16

= 13/16

:According to the question:You are working with a population of crickets. Before the mating season you check to make sure that the population is in Hardy-Weinberg equilibrium, and you find that the population is in equilibrium.

During the mating season you observe that individuals in the population will only mate with others of the same genotype (for example Dd individuals will only mate with Dd individuals). There are only two alleles at this locus ( D is dominant, d is recessive), and you have determined the frequency of the D allele =0.6 in this population. Selection acts against homozygous dominant individuals and their survivorship per generation is 80%. After one generation the frequency of DD individuals will decrease in the population.

According to the Hardy-Weinberg equilibrium equation p² + 2pq + q² = 1, the frequency of D (p) and d (q) alleles are:p + q = 1Thus, the frequency of q is 0.4. Here are the calculations for the Hardy-Weinberg equilibrium:p² + 2pq + q² = 1(0.6)² + 2(0.6)(0.4) + (0.4)² = 1After simplifying, it becomes:0.36 + 0.48 + 0.16 = 1This means that the population is in Hardy-Weinberg equilibrium. This is confirmed as the frequencies of DD, Dd, and dd genotypes

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