PLS HELP
how many solutions does this system of equations below have?

y=8x+4
y=8x+3

Answer:

$53.22

Step-by-step explanation:

$53.22

Sorry If I am wrong

Answer:

the answer isosceles

Step-by-step explanation:

well, an isosceles triangle as two equal angles

hope this was helpful

The community will have about 16,289 inhabitants after 10 years. This illustration shows how population increase can be modelled using exponential functions.

The population of a small town is currently 10,000 residents, and it is growing at a rate of 5% per year. Assuming the growth continues at this rate, determine the population of the town after 10 years.

Solution:

To solve this problem, we can use the formula for exponential growth:

P(t) = P₀ × \((1+r)^{t}\)

where:

P(t) = the population after time t

P₀ = the initial population

r = growth rate per time period (as a decimal)

t = time period

In this case, P₀ = 10,000, r = 0.05 (5% expressed as a decimal), and t = 10 years.

Substituting the given values into the formula, we get:

P(10) = 10,000 × (1 + 0.05)¹⁰

Calculating the exponent first:

(1 + 0.05)¹⁰ = 1.05¹⁰= 1.62889 (rounded to 5 decimal places)

Now, substitute the calculated value back into the equation:

P(10) = 10,000 × 1.62889 = 16,288.9 (rounded to the nearest whole number)

Therefore, the population of the town after 10 years is approximately 16,289 residents.

This example demonstrates how exponential functions can be used to model population growth. By applying the formula, we can estimate the future population based on the initial population and the growth rate.

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For conducting experiment based on effect of a net force , to apply net force on the object two other quantities should be measured in each trial of the experiment is given by velocity and time.

As given in the question,

To conduct a experiment based on the effect of net force applied to an object the dependable quantities are as follow:

Force = mass × acceleration

As object remain same ⇒ mass is constant as object remain same.

And there is change in the acceleration.

Acceleration depends change in velocity over total time taken.

Acceleration depends on velocity and time.

Net force also depends on velocity and time.

Two measurements need to know  while conducting trail experiments are velocity and time.

Therefore, to conduct experiment based on effect of a net force , to apply net force on the object two other quantities should be measured in each trial of the experiment is given by velocity and time.

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There were 682 children's and 332 adults were admitted when the entrance charge to an park is $4 for adults and $1.50 for children.

Given that,

The entrance charge to an amusement park is $4 for adults and $1.50 for children. 351 persons visited the park on one particular day, and 1014 dollars in entrance fees were collected.

We have to find how many people and kids were allowed inside.

We know that,

We get equations as,

1.5x+4y=351 ----->equation(1)

The other equation is

x+y=1014 ----->equation(2)

Take the equation(2)

x+y=1014

y=1014-x

Substitute y=1014-x in equation(1)

1.5x+4y=351

1.5x+4(1014-x)=351

1.5x+2056-4x=351

1.5x-4x=351-2056

-2.5x=-1705

2.5x=1705

x=1705/2.5

x=682

Substitute x=682 in equation(2)

y=1014-x

y=1014-682

y=332

Therefore, There were 682 children's and 332 adults were admitted when the entrance charge to an amusement park is $4 for adults and $1.50 for children.

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There are 3 cases to consider when determining horizontal asymptotes:

1) Case 1: if: degree of numerator < degree of denominator. then: horizontal asymptote: y = 0 (x-axis)

2) Case 2: if: degree of numerator = degree of denominator.

3) Case 3: if: degree of numerator > degree of denominator.

Answer:

72=|9y|

Step-by-step explanation:

divide both sides by 9

72/9=|9y|/9

8=y

y=8

Answer:

x = 15 * 2 + 3

Step-by-step explanation:

hope this helps!

Answer: 1/12 yards

Step-by-step explanation:

The length of the pieces originally were 1/4 yards.

Jamie then cuts them into a 1/3 of their original length.

The new length is therefore:

= Original length * proportion of original length strips are cut into

= 1/4 * 1/3

= 1/12 yards

Answer:

700 Boys attend the school

Answer:

Independent variable (thing you change): Hours worked

Dependent variable (thing you measure): Amount paid

Answer: $45  

($30 + $15)

Answer:

Step-by-step explanation:

Let's solve for c.

y=mx+c

Step 1: Flip the equation.

mx+c=y

Step 2: Add -mx to both sides.

mx+c+−mx=y+−mx

c=−mx+y

Answer:

6

Step-by-step explanation:

Solving steps

29v+23

Move the terms

- v =23 -29

Calculate

-V=-6

Change the signs

Solution

V = 6

Answer: 6

Step-by-step explanation: the guy above me has the best expanation

We can use the limit laws to evaluate the given limit. First, we can use the product rule, which states that lim x→c (f(x) · g(x)) = lim x→c f(x) · lim x→c g(x), if both limits exist. Using this rule, we can write:

lim x→2 (f(x) · g(x) − h(x)) = lim x→2 f(x) · g(x) − lim x→2 h(x)

Then, we can substitute the given limits:

lim x→2 (f(x) · g(x) − h(x)) = (lim x→2 f(x)) · (lim x→2 g(x)) − lim x→2 h(x)
= 3 · 9 - 6
= 21

Therefore, lim x→2 (f(x) · g(x) − h(x)) = 21.
Hi! Based on the given information, we can use the limit laws to evaluate the limit lim x→2 (f(x) · g(x) − h(x)).

Using the limit laws, we can distribute the limit as follows:

lim x→2 (f(x) · g(x) − h(x)) = lim x→2 (f(x) · g(x)) - lim x→2 (h(x))

Now, substitute the given limits:

= (lim x→2 f(x)) · (lim x→2 g(x)) - (lim x→2 h(x))
= 3 · 9 - 6
= 27 - 6
= 21

So, the limit lim x→2 (f(x) · g(x) − h(x)) equals 21.

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Answer:

A = 40x + 175

B  = 50x + 125

5 hours

Step-by-step explanation:

The equations are as follows:

According to the question

Let us assume the number of hours be x

For company A

40x + 175

For company B

50x + 125

Now equate these two equations

40x + 175 = 50x + 125

175 - 125 = 10x

x = 5

Hence, the number of hours is 5

The coordinate for the R' is (3, -4) if the R(-4, 3) is reflected in the line y = x option (D) is correct.

It is defined as the change in coordinates and the shape of the geometrical body. It is also referred to as a two-dimensional transformation. In the geometric transformation, changes in the geometry can be possible by rotation, translation, reflection, and glide translation.

We have:

Image of R(-4, 3) after a reflection in the line y = x

The rule for the reflection over y = x is:

(x, y) = (y, x)

(-4, 3) = (3, -4)

Thus, the coordinate for the R' is (3, -4) if the R(-4, 3) is reflected in the line y = x option (D) is correct.

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Answer:

5

Step-by-step explanation:

Combine like terms:

23x and 6x are like terms so we add them together. 23x + 6x is 29x

Now you have the equation, 140 = 29x - 5.

Add both sides by 5. 140 + 5 = 145; -5 + 5 (cancels out)

Now your left with,  145 = 29x

Divide both sides by 29. 29x divided by 29 = x; 145 divided by 29 = 5.

Therefore, x = 5.

Answer:

Step-by-step explanation:

Conclusion:

Therefore, 2/3 divided by 4/9 is 3/2.

Hoped this helped.

\(GeniusUser\)

Answer: 1 1/2

Step-by-step explanation: 2/3/4/9

(2/3)(9/4) 18/12/6/6 3/2 1 1/2

Answer:

(X+12)^2 -18-(24/2)^2

(X+12)^2 -18-144

(X+12)^2-162

Your answer is 1.

Step-by-step explanation:

Answer:um hold on

Step-by-step explanation:

The slope-Intercept form of the given line is y=1.5x.

A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of line is given by,

y =mx + c

where,

x is the coordinate of the x-axis,

y is the coordinate of the y-axis,

m is the slope of the line, and

c is y-intercept.

The given line passes through (4, -2) and (2, 3). Therefore, the slope of the given line can be written as,

Slope of the line, m = (-2 - 3)/(4 - 2)

                                = 3 / 2

                                = 1.5

Now, the equation of the line passing through (2, 3) can be written as,

y = mx + c

(3) = 1.5(2) + C

3 = 3 + C

3 - 3 = C

C = 0

Substitute all the value in the equation of the line,

y = m(x) + c

y = 1.5(x) + 0

y = 1.5x

Hence, the equation of the given line is y=1.5x .

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Answer:

∠x = 78

Step-by-step explanation:

∠y + ∠1 = 180

=> 125 + ∠1 = 180

=> ∠1 = 180 - 125

=> ∠1 = 55

∠z + ∠2 = 360

=> 313 + ∠2 = 360

=> ∠2 = 360-313

=> ∠2 = 47

∠1 + ∠2 + ∠x = 180

=> 55 + 47 + ∠x = 180

=> ∠x = 180 - 55 - 47

=> ∠x = 78

Answer:

\(x=78\)

Step-by-step explanation:

Skills needed: Exterior Angle Theorem, Triangle Geometry:

1) We need to solve for \(x\) and there are 2 methods to do it. I will go over the fastest way (since it's better).

2) In order to use this theorem, we need to solve for the angle near \(z\). This angle would be \(360-z\), which is \(360-313\) (since \(z=313\)).

\(360-313\) = \(47\)

3) Then, we can use the fact that \(y=x+47\) (47 is the measure of the angle we just solved for.)

\(y=125\), so \(125=x+47\)

Subtract 47 from both sides, and get \(x=78\)

Hope you understood and have a nice day! :D

Note: I have attached one image that shows my work, and another image that shows the exterior angle theorem (which I created on a whiteboard). Hope you get it! If you have any questions, comment and I can answer it ASAP!

Answer:

The cost of 1 scarf is $12.25 each.

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

Answer:

0.315 times

Step-by-step explanation:

156÷495 ≈ 0.315

Have a good day :)

On solving the provided question, we can say that By the help of trigonometry the angle elevation is 45.

The area of mathematics known as trigonometry looks at how triangle side lengths and angles relate to one another. In the Hellenistic era, roughly in the third century BC, the region had its initial appearance due to the use of geometry in astronomical study.

Exact mathematics focuses on specific trigonometric functions and how calculations could employ them. There are six well-known trigonometric functions in trigonometry.

They go by a variety of names and abbreviations, including sine, cosine, tangent, cotangent, secant, and cosecant (csc). The study of triangle properties, particularly those of right triangles, is known as trigonometry. In geometry, the characteristics of every geometric figure are explored.

Let the pole's height be denoted by AB = h.

A pole's shadow will create the base BC.

Let the elevation angle be 9,

By the help of trigonometry

tan x = AB/BC

tan x = h/h = 1

x = tan^(-1)

x = 45

Hence, the angle elevation is 45

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Answer:

d

Step-by-step explanation:

Answer:

the slope is 5. 5/1

Step-by-step explanation:

Use rise over run to find slope. It is the easiest way to find slope

You rise 5 and 1 to the right

Answer:

The slope is 5

Step-by-step explanation:

So you're just trying to find the slop. We're going to choose 2 points to use which are already marked on the graph.

(0, 2) and (-1, -3)

So to find the slope, we have to find (the difference in y) / (the difference in x)

So we're going to do

-3-2/-1-0

Which is

-5/-1

So since there are two negatives, it become positive, and it'll simplify into 5.

So the slope of the line is 5

Answer:

$22.5 is how much Karlie has.

Step-by-step explanation:

Divide 102 by 4: 102/4 = 25.5

" ... spent three LESS ... "

25.5 - 3 = 22.5

This question did not provide what is needed to be done. However, I understand what needs to be done.

Let's put the question in simple terms

Victoria and Karlie went shopping. Karlie spent three less than four times what Victoria spent. Together the girls spent $102.

So 3 less should be minus because when subtracting a number from another the result will be less than the original. And 4 times should be 4 times a number, but we don't know that number so we would put 4x, which is the same thing as 4(5), for example.

Put that in an equation format

\(4x-3=102\)

Now, we can solve for "x". To find "x", we have to solve it the opposite way it was formed and the opposite operation. In other words, we are going to add 3 to both sides as our first step because "x" was multiplied to four first, then it subtracted 3 from x.

Add 3 to both sides

\(4x-3+3\\\\102+3\\\\105\)

Divide both sides by 4

\(\frac{4x}{4}=\frac{105}{4}\\\\x=\frac{105}{4}\)

Molly earned $282.37 - $220.00 = $62.37 in interest at the end of six years.

What is compound interest?

The interest on savings that is computed on both the initial principal and the interest accrued over time is known as compound interest. Compound interest is computed by multiplying the starting principal amount by one and the annual interest rate raised to the number of compound periods minus one. The final step is to deduct the initial loan principal from the calculated value.

To solve this problem, we can use the formula for compound interest:

\(A = P(1 + r/n)^(nt) \)

We are given that Molly placed $220.00 in a savings account with an annual interest rate of 4.2%. We are also told that she did not add or take out any money from the account, so the principal remains $220.00. Since we are not given how many times per year the interest is compounded, we will assume it is compounded annually (n = 1).

After 6 years, the formula becomes:

\(A = 220(1 + 0.042/1)^{(1*6)}A = 220(1.042)^6\)

A = 220(1.2835)

A = $282.37

Therefore, Molly earned $282.37 - $220.00 = $62.37 in interest at the end of six years.

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Answer:

-14.4, -6.8, 23/4, -1.9, 0, 5.4

Step-by-step explanation

lowest to highest

Answer:

-14.4, -6.8, 0, |-1.9|, 5.4, |-23/4|

Step-by-step explanation:

When a number is in absolute value brackets, it will always be positive. This makes |-1.9| 1.9 and |-23/4| 5.75. You can then sort them out starting from negative to 0 to positive numbers.

This refers to the ratio between the scale of a given original object and a new object. It is its representation but of a different size (bigger or smaller). For example, if we have a rectangle of sides 2 cm and 4 cm, we can enlarge it by multiplying each side by a number, say 2.

Solving for the area and scale factor we have:

L= 5 units

W = 2 units

A = (5 x 2)

A = 10 square units.

A= (Scale factor of  L * W)*  L * W

= (2 x 2 x 5 x 2)

A = 40 square units.

A= (Scale factor of  L * W)*  L * W

= (3 x 3 x 5 x 2)

A= 90 square units

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