Determine the point of intersection of the straight lines that have the equations:
i) y = - 4x + 5 and y = -3x - 5/9​

The line of the best fit is y = 2100x -4166040 and the number of bottles is, 86460 which expect to sell in 2025

A mathematical notion called the line of the best fit connects points spread throughout a graph. It's a type of linear regression that uses scatter data to figure out the best way to define the dots' relationship.

We have data shown in the table:

To find the line of best fit, we will calculate its slope and y-intercept.

We know the slope is given by:

\(\rm m = \dfrac{n\sum xy-\sum x \sum y}{n \sum x^2 - (\sum x)^2}\)   where n = 5

After calculating, we get,

\(\rm n\sum xy-\sum x \sum y = 105000\)  and

\(\rm n \sum x^2 - (\sum x)^2 = 50\)

m = 105000/50 = 2100

For y-intercept b:

\(\rm b = \dfrac{\sum y -m \sum x}{n}\)

After calculating:

b = -4166040

The line becomes:

y = 2100x -4166040

If x = 2025 put this value in the line, we get:

y = 86460

Thus, the line of the best fit is y = 2100x -4166040 and the number of bottles is, 86460 which expect to sell in 2025

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Answer:

See the image for marked congruences.

1. JM ≅ LM                           |      Given

2. △JML is isosceles          |      definition of isosceles

3. ∠MJL ≅ ∠MLJ                  |       isosceles triangle theorem

4. m∠MJL = m∠MLJ             |      definition of ≅

5. JK ≅ LK                            |      Given

6. △JKL is isosceles           |      definition of isosceles

7. m∠KJL = m∠KLJ              |       isosceles triangle theorem

8. m∠MJL + m∠KJM = m∠KJL                         |  adjacent angle theorem

9. m∠MLJ + m∠KMJ = m∠KLJ                         |  adjacent angle theorem

10. m∠MJL + m∠KJM = m∠MLJ + m∠KLM      |   transitive property of =

11. m∠MJL + m∠KJM = m∠MJL + m∠KLM      |   substitution

12. m∠KJM = m∠KMJ          |        subtraction

13. ∠KJM ≅ ∠KLM                |        definition of ≅

14. △KJM ≅ △KLM             |        SAS theorem

15. ∠JKM ≅ ∠LKM                |        CPCTC

16. KM bisects ∠JKL            |        definition of bisector

The remainder is 5 + c, which means that the expression P(x) = \(5x^4 + 7x^3 - 2x^2 - 3x + c\) divided by (x + 1) results in a quotient of\(5x^3 + 2x^2 - 4x + 4\) and a remainder of 5 + c.

To divide the polynomial P(x) = \(5x^4 + 7x^3 - 2x^2 - 3x + c\) by the binomial (x + 1), we can use polynomial long division.

Let's set up the long division:

    \(5x^3 + 2x^2 - 4x + 4\)

_______________________

x + 1 | \(5x^4 + 7x^3 - 2x^2 - 3x + c\)

We start by dividing the highest degree term of the dividend (5x^4) by the divisor (x + 1), which gives us 5x^3. We then multiply this quotient by the divisor (x + 1) and subtract it from the dividend:

              \(5x^3(x + 1)\)

     _______________________

x + 1 | \(5x^4 + 7x^3 - 2x^2 - 3x + c\)

- (\(5x^3 + 5x^2)\)

This leaves us with a new polynomial:\(2x^3 - 7x^2 - 3x + c\). We repeat the process by dividing the highest degree term of this polynomial (2x^3) by the divisor (x + 1), resulting in 2x^2. We then multiply this quotient by the divisor and subtract it from the polynomial:

              \(5x^3(x + 1) + 2x^2(x + 1)\)

     _______________________

x + 1 | \(5x^4 + 7x^3 - 2x^2 - 3x + c\)

-\((5x^3 + 5x^2)\)

_______________________

\(2x^2 - 3x + c\)

We continue this process until we reach the constant term, resulting in the remainder of the division.

At this point, we have:

               \(5x^3(x + 1) + 2x^2(x + 1)\)

     _______________________

x + 1 | \(5x^4 + 7x^3 - 2x^2 - 3x + c\)

- \((5x^3 + 5x^2)\)

_______________________

\(2x^2 - 3x + c\)

-\((2x^2 + 2x)\)

_______________________

- 5x + c

- (-5x - 5)

_______________________

5 + c

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Answer:

the probability is 5 ÷ 51

Step-by-step explanation:

The computation of the probability is shown below:

 = green jelly beans ÷ total jelly beans × remaining jelly beans ÷ remaining total jelly beans

=  6 ÷ 18 × 5 ÷ 17

= 30 ÷ 306

= 5 ÷ 51

Hence, the probability is 5 ÷ 51

There is only 1 possible 11-card hand that can be formed from a 20-card deck.

To determine the number of 11-card hands possible with a 20-card deck, we can use the concept of combinations.

The number of combinations, denoted as "nCk," represents the number of ways to choose k items from a set of n items without regard to the order. In this case, we want to find the number of 11-card hands from a 20-card deck.

The formula for combinations is:

nCk = n! / (k!(n-k)!)

Where "!" denotes the factorial of a number.

Substituting the values into the formula:

20C11 = 20! / (11!(20-11)!)

Simplifying further:

20C11 = 20! / (11! * 9!)

Now, let's calculate the factorial values:

20! = 20 * 19 * 18 * ... * 2 * 1

11! = 11 * 10 * 9 * ... * 2 * 1

9! = 9 * 8 * 7 * ... * 2 * 1

By canceling out common terms in the numerator and denominator, we get:

20C11 = (20 * 19 * 18 * ... * 12) / (11 * 10 * 9 * ... * 2 * 1)

Performing the multiplication:

20C11 = 39,916,800 / 39,916,800

Finally, the result simplifies to:

20C11 = 1

Consequently, with a 20-card deck, there is only one potential 11-card hand.

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The spherical coordinates of the given rectangular coordinates are (10, 0, 60).

The cartesian coordinate or rectangular coordinates describes the location of a point in space using an ordered triple where each coordinate represents a distance. The spherical coordinate system describes the location of a point in space using an ordered triple where coordinate describes one distance and two angles. In the spherical coordinate system, a point is represented by the ordered triple (ρ, θ, φ).

The equations which are used to convert from rectangular coordinates to spherical coordinates are:

ρ^2=x^2+y^2+z^2

tan⁡〖θ= y/x〗

φ=arccos⁡〖z/√(x^2+y^2+z^2 )〗

The given rectangular coordinates are (5√3, 0, 5). Hence,

ρ^2=〖(5√3)〗^2+0^2+5^2 ≈ 100

ρ ≈ √100 ≈ 10

tan⁡〖θ= 0/(5√3)=0〗

θ=  tan^(-1)⁡0=0

φ=arccos⁡〖5/√(〖(5√3)〗^2+0^2+5^2 )〗= arccos 5/10=arccos⁡0.5 ≈ 60

Note:  The question is incomplete. The complete question probably is: Convert from rectangular to spherical coordinates. (Use symbolic notation and fractions where needed. Give your answer as a point's coordinates in the form (*,*,*). (5√3, 0, 5)

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Answer:

A. \(h(x)=\sqrt{x-3}\)

Step-by-step explanation:

The parent function of \(\sqrt{x}\) is translated to the left when \(h\) is positive in the transformation \(\sqrt{x+h}\).

If \(h\) is negative, the graph translates towards the left with the distance equal to the value of \(h\).

Here the graph moved 3 units towards the right. This means that \(h\) is negative and has the value of 3.

So, plugging that into the parent function for translation, the function becomes:

\(h(x)=\sqrt{x-3}\)

We can say that after answering the offered question For instance, if equation fixing a plumbing problem takes an hour, the cost would be $75. If the repair takes two hours, it will cost $125, and so on.

An equation is a mathematical statement that proves the equality of two expressions connected by an equal sign '='. For instance, 2x – 5 = 13. Expressions include 2x-5 and 13. '=' is the character that links the two expressions. A mathematical formula that has two algebraic expressions on either side of an equal sign (=) is known as an equation. It depicts the equivalency relationship between the left and right formulas. L.H.S. = R.H.S. (left side = right side) in any formula.

{(1, 75), (2, 125), (3, 175), (4, 225), (5, 275)}

The cost to repair a plumbing issue based on the number of hours is represented by these sets of ordered pairs. For instance, if fixing a plumbing problem takes an hour, the cost would be $75. If the repair takes two hours, it will cost $125, and so on.

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Answer:

23.25

Step-by-step explanation:

After answering the presented question, standard deviation t Lower bound = X - \((t * (s/\sqrt(n))) = 1271.89 - (1.860 * (34.753/\sqrt(9))) = 1238.94\)

A statistic that expresses the variability or variation of a bunch of values is the standard deviation. A high standard deviation indicates that the values are more distributed, whereas a low standard deviation indicates that the numbers are closer to the set mean. The standard deviation is a measure of how far the data are from the mean (or ). When the standard deviation is small, the data tends to cluster around the mean; when it is great, the data is more spread. The standard deviation represents the average variability of the data collection. It displays the average deviation from the mean of each score.

Next, we need to find the t-value for a 90% confidence interval with 8 degrees of freedom (n-1):

t = t(0.05, 8) = 1.860

Now we can calculate the lower and upper bounds of the confidence interval:

Lower bound = X - \((t * (s/\sqrt(n))) = 1271.89 - (1.860 * (34.753/\sqrt(9))) = 1238.94\)

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Answer:

yes

Step-by-step explanation:

Using the information in the given diagram, the value of the missing angle is: m∠1 = 75°

The transverse line theorem states that If two parallel lines are cut by a transversal, then corresponding angles are congruent. Two lines cut by a transversal are parallel IF AND ONLY IF corresponding angles are congruent.

Now, when we draw a horizontal line parallel to lines a and b and directly cutting across the vertex of angle 1, we can see that angle 1 will be composed of two angles.

Now, for the transverse line theorem we can say that:

Angle 1 will be composed of two angles namely:

48 degrees and (180 - 153) degrees.

Thus:

m∠1 = 48° + 27°

m∠1 = 75°

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Answer:

y=x+100

Step-by-step explanation:

Answer:

18x + 30 thats my answer

Answer:

that's too easy

4 thousands=4000

12 hundreds=120

4000+120=4120

4 thousands and 12 hundreds

Answer:

1.) use a compass

2.) also use a compass

Step-by-step explanation:

The PDF will show you for number two

brainlist ppls

Answer:

.....................................

The height of the kite from the ground when the angle is 50 degrees is 232 feet.

The study of the correlations between triangles' sides and angles is the focus of the mathematic branch known as trigonometry. To link the angles of a right triangle to the lengths of its sides, it makes use of trigonometric functions like sine, cosine, and tangent.

Numerous industries, including physics, engineering, and navigation, use trigonometry. It can be used, for instance, to determine a building's height or the separation between two locations on a map, as well as to examine how waves and oscillations behave.

To find the height of the kite above the ground we use the trigonometric identity of tangent.

Thus, we have:

tan(50°) = h/200

Now, using cross multiplication:

h = 200 tan(50°) ≈ 232 feet

Hence, the height of the kite from the ground when the angle is 50 degrees is 232 feet.

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The time Jack left Santa Clara is 1 : 55 pm

A word problem in math is a math question written as one sentence or more. These statements are interpreted into mathematical equation or expression.

The time for Jack to walk to lose Altos is 25 min and he uses another 25mins to work to Palo alto.

Therefore, the total time he spent is

25mins + 25 mins = 50 mins

He arrived Palo at 2 :45 pm, therefore the time he left Santa Clare will be ;

2:45 pm = 14 :45

= 14:45 - 50mins

= 13:55

= 1 : 55pm

Therefore he left at 1:55 pm

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Answer:

7/5

Step-by-step explanation:

Answer:

7/5

Step-by-step explanation:

..........................

=>12x-15=6-3x

=>12x+3x=6+15

=>15x=21

=>x=21/15

=>x=7/5

Two numbers that meet the condition are a = -10 and b = 2, and the quotient between these is larger than the product.

We have two numbers a and b with different sign.

Let's say that a is negative and b positive.

We know that the absolute value of a is divisible by the absolute value of b.

|a|/|b|

Then we have that |a| ≥ |b|

An example of two numbers that meet these conditions are:

a = -10

b = 2

Where:

|-10|/|2|  = 10/2 = 5

Now, the product between the integers will give a large negative number, in this case:

-10*2 = 20

and the quotient will give a smaller, in absolute value, negative number:

-10/2 = -5

Then we can see that the quotient is larger (as both are negative numbers, and the quotient is closer to zero).

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Answer:

12x^7+15x^6

Step-by-step explanation:

Change 3x^3-2 to 3x

(x^4)(3x)(4x^2+5x)

Multiply your single terms

(3x^5)(4x^2+5x)

Then distribute

12x^7+15x^6

An exponential equation in the form \(y=a(b)^x\) that can model the amount of caffeine, y, in Kendall's body x hours after drinking the coffee is

The amount of caffeine that will be in Kendall's body after 12 hours is 18 milligrams.

In Mathematics, an exponential function can be modeled by using the following mathematical equation:

f(x) = a(b)^x

Where:

Since Kendall drank a cup of coffee that had 95 milligrams of caffeine which is decreasing at a rate of 5% per day, this ultimately implies that the relationship is geometric and the rate of change (decay rate) is given by:

Rate of change (decay rate) = 100 - 13 = 87% = 0.87.

By substituting the parameters into the exponential equation, we have the following;

\(f(x) = 95(0.87)^x\)

When x = 12, we have;

\(f(12) = 95(0.87)^{12}\)

f(12) = 17.86 ≈ 18 milligrams.

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The estimated area of the field enclosed by the fence is approximately 220.5 square meters.

A basic geometry theorem that explains the relationship between a right triangle's three sides is known as the Pythagorean theorem.

We can employ the following strategy to determine how much of the field the fence is enclosing:

Include the lengths of the fence sections in a rough sketch of the field.

Make a straightforward polygon that resembles the field's shape using the fence sections.

To calculate the area of the triangle-shaped portion of the field, use the triangle's area formula (\(A = 1/2 \times base \times height\)). We must identify the triangle's base and height in order to accomplish this.

The Pythagorean theorem can be used to calculate the triangle's height: \(a^2 + b^2 = c^2\)where a and b are the triangle's two shorter sides (9 meters and 12 meters, respectively), and c is the longest side (15 meters). When we solve for (a), we see that it is equal to

(a)

\(= \sqrt{(c^2 - b^2)} \\= \sqrt{(15 2 - 12 2}) \\= \sqrt{(81)} \\= 9 meters.\\\)

The triangle is therefore 9 meters tall. The 9-meter fence portion serves as the triangle's base.

When we apply the triangle's area formula, we obtain:

A is equal to half of the base plus the height, or 9 meters plus 9 meters, or 40.5 square meters.

The area of the remaining field must be increased by the area of the triangle. This estimate may not be very exact because we have just estimated the field's form, but it should at least give us a general notion of the field's size.

If the remaining area of the field has a roughly rectangular form, we can calculate its area by multiplying the rectangle's length and width. The 12-meter and 15-meter fence sections can be used as a guide to determine the rectangle's size.

By dividing the width by the length, we obtain:

180 square meters is the size of the remaining part (12 meters times 15 meters).

To determine the approximate total size of the field, add the areas of the rectangle and triangle portions:

Total area estimated: 40.5 square meters plus 180 square meters, which equals 220.5 square meters.

As a result, the field's approximate area inside the barrier is 220.5 square meters.

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Answer:

0.1 = 10% probability that more than 4 people arrive in a vehicle

Step-by-step explanation:

We have these following probabilities:

0.2 probability that 1 people arrive in a vehicle.

0.35 probability that 2 people arrive in a vehicle

0.25 probability that 3 people arrive in a vehicle

0.1 probability that 4 people arrive in a vehicle

x probability that more than 4 people arrive in a vehicle.

What is the probability that more than 4 people arrive in a vehicle?

The sum of all probabilities is 1 = 100%. So

0.2 + 0.35 + 0.25 + 0.1 + x = 1

x = 0.1

0.1 = 10% probability that more than 4 people arrive in a vehicle

Answer:

x = 58°

Step-by-step explanation:

Length of tangents drawn to a circle from a point outside the circle, are equal in measure.

By using this property,

Two tangents PQ and PR will be equal.

And angles opposite to these sides will be equal.

Therefore, ∠PQR ≅ ∠PRQ

By triangle sum theorem,

m∠PQR + m∠PRQ + m∠QPR = 180°

x° + x° + 64° = 180°

2x = 180 - 64

2x = 116

x = 58°

Answer: 21

Step-by-step explanation:  im not guessing im a certified expert at calculus and have a masters degree in mathmatics so yeah

Answer:

21

Step-by-step explanation:

I did the test

Hope this helps :)

Answer:

The third one, (x+5)^2 + (y+7)^2 = 74

Step-by-step explanation:

The equation for a circle is in the form (x-x coordinate)^2 + ( y - y coordinate )^2 = r^2

the radius is 5^2 + 7^2 = 25 + 49 = 74

and the center is (-5,-7), so it is + 5 and + 7

Considering the vertex of the quadratic equation, it is found that the value of b is of b = 3.

A quadratic equation is modeled by:

y = ax^2 + bx + c

The vertex is given by:

\((x_v, y_v)\)

In which:

The axis of symmetry is of \(x = x_v\). In this problem, we have that a = 0.25 and x_v = 6, hence:

b/2a = 6.

b/0.5 = 6

b = 6 x 0.5

b = 3.

The value of b is of b = 3.

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