Hallar las
coordenadas
del punto B (x,x
- 2) y A (2,-4),
el valor de la
pendiente es
4/3.

The total number of hours that Carly studied for 9 days is; 7¹/₂ hours

She wants to study 5/6 of an hour per day for 9 days.

Thus;

Number of hours studied per day = 5/6 * 1 hour = 5/6 hours

Therefore for 9 days, the total number of hours she will study is;

5/6 * 9

= 45/6

= 15/2

= 7¹/₂ hours

That value denotes the total number of hours that she studied for 9 days

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Complete question is;

Carly needed to study for 5/6 of an hour for 9 days. How many hours did she study?

Answer:

Step-by-step explanation:

For step explanation:

1. write the problem

2. distinguishing the neg sign

3. distributing 3

4. moving like terms next to each other through commutative property

5.  Combining like terms

6. getting rid of parentheses

The arrow is at a height of 48 ft after approx. 3 - √6 s and after 3 + √6 s.

To find the time it takes for the arrow to reach a height of 48 ft, we can use the formula for the height of the arrow:

s = v0t - 16t^2

Here, s represents the height of the arrow, v0 is the initial velocity, and t is the time.

Given that the initial velocity, v0, is 96 ft/s and the height, s, is 48 ft, we can set up the equation:

48 = 96t - 16t^2

Now, let's solve this equation to find the time it takes for the arrow to reach a height of 48 ft.

Rearranging the equation:

16t^2 - 96t + 48 = 0

Dividing the equation by 16 to simplify:

t^2 - 6*t + 3 = 0

We now have a quadratic equation in the form of at^2 + bt + c = 0, where a = 1, b = -6, and c = 3.

Using the quadratic formula:

t = (-b ± √(b^2 - 4ac)) / (2a)

Plugging in the values:

t = (6 ± √((-6)^2 - 413)) / (2*1)

t = (6 ± √(36 - 12)) / 2

t = (6 ± √24) / 2

Simplifying the square root:

t = (6 ± 2√6) / 2

t = 3 ± √6

Therefore, the arrow reaches a height of 48 ft after approximately 3 + √6 seconds and 3 - √6 seconds.

In summary, the arrow takes approximately 3 + √6 seconds and 3 - √6 seconds to reach a height of 48 ft, assuming an initial velocity of 96 ft/s.

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Note the complete question is

The height of an arrow shot upward can be given by the formula s = v0*t - 16*t², where v0 is the initial velocity and t is time.How long does it take for the arrow to reach a height of 48 ft if it has an initial velocity of 96 ft/s?  

Solve (t-3)^2=6

The arrow is at a height of 48 ft after approx. ___ s and after ___ s.

Answer:

\(\sqrt[9]{3}\)

Step-by-step explanation:

The screenshot is proof that it’s the correct answer, because I used a calculator.

Answer:

I really don't know lol

Step-by-step explanation:

Can you mark me brainliest please :p

Answer:

So that they can get points lol haha

Step-by-step explanation:

Because I know hahaha.

The probability that the second pipe (with length Y) is more than 0.11 feet longer than the first pipe (with length X) is approximately 2.6092%.

Here,

Since the length of the pipes follows a uniform distribution on the interval [10 feet, 10.57 feet], the probability density function (PDF) for each pipe is:

f(x) = 1 / (10.57 - 10) = 1 / 0.57 ≈ 1.7544 for 10 ≤ x ≤ 10.57

Since the lengths of the pipes are independent, the joint probability density function (PDF) of X and Y is the product of their individual PDFs:

f(x, y) = f(x) * f(y) = 1.7544 * 1.7544 = 3.0805 for 10 ≤ x ≤ 10.57 and 10 ≤ y ≤ 10.57

Now, we want to find the probability that the second pipe (Y) is more than 0.11 feet longer than the first pipe (X).

Mathematically, we want to find P(Y > X + 0.11).

Let's set up the integral to calculate this probability:

P(Y > X + 0.11) = ∬[10 ≤ x ≤ 10.57] [y > x + 0.11] f(x, y) dx dy

We integrate with respect to x first and then with respect to y:

P(Y > X + 0.11) = ∫[10 ≤ y ≤ 10.57] ∫[10 ≤ x ≤ y - 0.11] f(x, y) dx dy

P(Y > X + 0.11) = ∫[10 ≤ y ≤ 10.57] [∫[10 ≤ x ≤ y - 0.11] 3.0805 dx] dy

P(Y > X + 0.11) = ∫[10 ≤ y ≤ 10.57] [3.0805 * (x)] from x = 10 to x = y - 0.11 dy

P(Y > X + 0.11) = ∫[10 ≤ y ≤ 10.57] [3.0805 * (y - (10 - 0.11))] dy

P(Y > X + 0.11) = 3.0805 * ∫[10 ≤ y ≤ 10.57] (y - 9.89) dy

P(Y > X + 0.11) = 3.0805 * [(y² / 2) - 9.89y] from y = 10 to y = 10.57

P(Y > X + 0.11) = 3.0805 * [((10.57)² / 2) - 9.89 * 10.57 - (((10)² / 2) - 9.89 * 10)]

P(Y > X + 0.11) = 3.0805 * [((111.7249 / 2) - 104.9135 - (50 / 2 - 98.9)]

P(Y > X + 0.11) = 3.0805 * [(55.86245 - 104.9135 + 49.9)]

P(Y > X + 0.11) = 3.0805 * [0.84895]

P(Y > X + 0.11) ≈ 2.6092

Therefore, the probability that the second pipe (with length Y) is more than 0.11 feet longer than the first pipe (with length X) is approximately 2.6092%.

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Answer:

500,000 + 80,000 + 2,000 + 30

Answer:

■ Sales tax: $52.75

■ Cost/Price before ST: $540.99

■ Total Cost/Price including ST: $593.74

Step-by-step explanation:

540.99 x 0.0975

= 52.75

Total

= 540.99+52.75

=593.74

answer/explanation:

hope this helps

Answer:

y = -2/3x + 3

Step-by-step explanation:

The slope intercept form of the equation of a line is

y = mx+b where m is the slope and b is the y intercept

y = -2/3x + 3

Answer:

\(y = - \frac{2}{3} x + 3\)

Step-by-step explanation:

\(y = mx + b\)

where y us unknown, m is -2/3 and b is 3

Answer:

93

Step-by-step explanation:

Setup an equation. Add the 5 tests together, the unknown test will be represented by x, Since there are 5 tests total, you will divide by 5. to find the average.

\(\frac{89 + 85+96+87+x}{5} = 90\)

To solve first multiply both side by 5.

\((5) \frac{89 + 85+96+87+x}{5} = 90 (5)\)

\(89 + 85+96+87+x = 450\)

Add the left side and then solve for x

\(357 + x = 450\)

Subtract 357 from both sides

357 - 357 + x = 450 - 357

x = 93

The last test has to be a score of 93 to get an average of 90.

Answer:

The answer is X

Step-by-step explanation:

Answer:

28

Step-by-step explanation:

please give me brainlyest

The points on a parabola with the focal axis parallel to the abscissa axis, of parameter p and A, B is -12.

Since A and B are points on the parabola, write two equations using the general form of the parabolic equation:

(x - h)² = 4p(y - 1)

The focal axis is parallel to the x-axis, so the distance from the vertex to the focus is equal to p. Therefore, use the distance formula to write an equation for the distance between the vertex and point A:

√((13 - h)² + (a - 1)²) = p

Similarly, write an equation for the distance between the vertex and point B:

√((4 - h)² + (b - 1)²) = p

A and B lie on the line 2x - y - 13 = 0, so substitute the x and y coordinates of A and B into this equation and solve for a and b:

2(13) - a - 13 = 0

2(4) - b - 13 = 0

Solving these equations gives us a = 3 and b = -5.

Now three equations and three unknowns (a, b, and h):

√((13 - h)² + 4) = p + 1

√((4 - h)² + 36) = p + 1

2h - 3 - 13 = 0

The third equation simplifies to 2h = 16, or h = 8.

Substituting this value of h into the first two equations and squaring both sides:

(13 - 8)² + 4 = (p + 1)²

(4 - 8)² + 36 = (p + 1)²

Simplifying these equations and solving for p gives us p = 3.

Finally, find a" + bP by substituting the values found for a, b, and p:

a" + bP = 3 + (-5)(3) = -12

Therefore, the solution is a" + bP = -12.

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Step-by-step explanation:

I just answered this.

we have 2 angles and their connecting side in between that are congruent (identical).

so, it is D. ASA (angle side angle)

just look up the meaning of the acronyms, and it will all be clear and very easy.

Answer:

Put the point a tiny bit more than half way between 14 and 15.

Step-by-step explanation:

If you are allowed to use a calculator, put in sqrt215 and you get out 14.66, that goes a little bit more than halfway between 14 and 15.

If you are not allowed to use a calculator, think of the numbers on the numberline in terms of answers to *perfect square* questions.

So 12 is sqrt 144.

13 is sqrt 169.

14 is sqrt 196.

15 is sqrt 225.

So the 215 in your question is in between 196 and 225.

215 is closer to 225 (than to 196) so put the point closer to sqrt 225. That is, in between 14 and 15 and just a tad bit closer to 15.

Answer:

(A)

Null hypothesis: Newspaper circulation in the city per day was = 15,000 in 2010

(B)

Alternative hypothesis: Newspaper circulation in the city today is > 15,000

(C)

Type 1 Error: This is the rejection of a true null hypothesis. It is the acceptance of the alternative hypothesis when the null hypothesis is true.

(D)

Type 2 Error: This is the non-rejection of a false null hypothesis. It is the acceptance of a null hypothesis when it is false.

Step-by-step explanation:

In statistical theory, the complete absence of any of these errors is virtually impossible.

Answer:

the equation would be y = 3x +6

Answer:

Option B is correct

Step-by-step explanation:

Original expression is |8 - 1| = 7 = distance between number 1 and number 8

=> Option B is correct

Hope this helps!

The number line model that matches the expression |8 - 1| which is correct option(B)

The graph can be defined as a pictorial representation or a diagram that represents data or values.

The expressions is the defined as mathematical statements that have a minimum of two terms containing variables or numbers.

Given the expression as |8 - 1|,

The value of the expression would give us 7. Meaning that the distance between coordinate 8 and 1 is 7 units.

The graphs given models the expression, |8 - 1|.

Option A, would match |-8 -1| = 5 units

Option B, would match |8 - 1| = 7 units.

Therefore, the answer is option (B).

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Answer: \(cosx =- \sqrt{ 1 - sin^2x}\)

Step-by-step explanation:

Generally speaking; \(cos^2x + sin^2x = 1\)

rearranging this gives us all sorts of cool things.

for now, we will use: \(cosx = \sqrt{ 1 - sin^2x}\)

This however, is general.

In the third quadrant, cosine is negative. So cosx in QIII will be:

\(cosx =- \sqrt{ 1 - sin^2x}\)

and thats the answer :)

Answer:

a. Area of circle = 50.24 ft².

b. Circumference of circle = 25.12 ft.  

Step-by-step explanation:

Given the following data;

Diameter = 8ft

Pie, π = 3.14

Radius, r = diameter/2 = 8/2 = 4ft

a. To find the area of the circle;

Area of circle = πr²

Substituting into the equation, we have;

Area of circle = 3.14*(4)²

Area of circle = 3.14*16

Area of circle = 50.24 ft²

b. To find the circumference of the circle;

Circumference of a circle = 2πr

Substituting into the equation, we have;

Circumference of circle = 2*3.14*4

Circumference of circle = 25.12 ft.

Answer:

a) The height decreases at a rate of \(\frac{7}{12}\) ft/sec.

b) The area increases at a rate of \(\frac{527}{24}\) ft^2/sec

c) The angle is increasing at a rate of \(\frac{1}{12}\) rad/sec

Step-by-step explanation:

Attached you will find a sketch of the situation. The ladder forms a triangle of base b and height h with the house. The key to any type of problem is to identify the formula we want to differentiate, by having in mind the rules of differentiation.

a) Using pythagorean theorem, we have that \( 25^2 = h^2+b^2\). From here, we have that

\(h^2 = 25^2-b^2\)

if we differentiate with respecto to t (t is time), by implicit differentiation we get

\(2h \frac{dh}{dt} = -2b\frac{db}{dt}\)

Then,

\(\frac{dh}{dt} = -\frac{b}{h}\frac{db}{dt}\).

We are told that the base is increasing at a rate of 2 ft/s (that is the value of db/dt). Using the pythagorean theorem, when b = 7, then h = 24. So,

\(\frac{dh}{dt} = -\frac{2\cdot 7}{24}= \frac{-7}{12}\)

b) The area of the triangle is given by

\(A = \frac{1}{2}bh\)

By differentiating with respect to t, using the product formula we get

\( \frac{dA}{dt} = \frac{1}{2} (\frac{db}{dt}h+b\frac{dh}{dt})\)

when b=7,  we know that h=24 and dh/dt = -1/12. Then

\(\frac{dA}{dt} = \frac{1}{2}(2\cdot 24- 7\frac{7}{12}) = \frac{527}{24}\)

c) Based on the drawing, we have that

\(\sin(\theta)= \frac{b}{25}\)

If we differentiate with respect of t, and recalling that the derivative of sine is cosine, we get

\( \cos(\theta)\frac{d\theta}{dt}=\frac{1}{25}\frac{db}{dt}\) or, by replacing the value of db/dt

\(\frac{d\theta}{dt}=\frac{2}{25\cos(\theta)}\)

when b = 7, we have that h = 24, then \(\cos(\theta) = \frac{24}{25}\), then

\(\frac{d\theta}{dt} = \frac{2}{25\frac{24}{25}} = \frac{2}{24} = \frac{1}{12}\)

The shaded region of the rectangle is 242.9 cm² and the shaded region of the sector is 7.1 square units.

Question 17) is a figure of a rectangle and two inscribed circles.

The area of a rectangle is expressed as: A = length × width

The area of a circle is expressed as: A = πr²

Where r is the radius.

To determine the area of the shaded region, we simply subtract the areas of the two circles from the area of the rectangle.

Area = ( Length × width ) - 2( πr² )

Area = ( 40 × 10 ) - 2( π × 5² )

Area = ( 400 ) - 2( 25π )

Area = 400- 50π

Area = 242.9 cm²

Area of the shaded region is 242.9 squared centimeters.

Question 18) is the a figure a sector of a circle and a right triangle.

The area of a sector is expressed as: A = (θ/360º) × πr²

The area of a triangle  is expressed as: A = 1/2 × base × height

To determine the area of the shaded region, we simply subtract the areas of the triangle from the area of the sector.

Hence:

Area = ( (θ/360º) × πr² ) - ( 1/2 × base × height )

Plug in the values:

Area = ( (90/360º) × π × 5² ) - ( 1/2 × 5 × 5 )

Area = 25π/4 - 12.5

Area = 7.1

Therefore, the area of the shaded region is 7.1 square units.

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Answer:

(A) $8,439.91

Step-by-step explanation:

Just took test

Answer:

To simplify this expression, we can use the distributive property of multiplication over addition/subtraction to remove the parentheses:

(4.5x − 5) − (3.5x − 10)

= 4.5x - 5 - 3.5x + 10 (distributing the negative sign to the second term in parentheses)

= (4.5x - 3.5x) + (10 - 5) (grouping like terms)

= 1x + 5

= x + 5

Therefore, (4.5x − 5) − (3.5x − 10) simplifies to x + 5.

Answer:

1x+5

Step-by-step explanation:

You are trying to simplify the equation

First distribute the "-"

-(3.5x)=-3.5x   -(-10)=10

4.5x-5-3.5x+10

Now combine like terms

4.5x-3.5x=1x   -5+10=5

1x+5

Hope this helped!

Answer:

\(\sqrt{2395.5}\) = 48.938737213 = 48.9

Step-by-step explanation:

1597(2/5)= 3992.5(1-2/5)= 3992.5(1-0.4)= 3992.5(0.6)= 2395.5

\(\sqrt{2395.5}\) = 48.938737213 = 48.9

The graph will touch the x-axis at x = 6.5 and x = 7.5, indicating that the probability of the amount being dispensed outside this interval is 0.

a. The amount dispensed by the beverage machine is a continuous random variable.

This is because the amount x can take on any value within the interval [6.5, 7.5], not just a countable set of values.
b. To graph the frequency function for x, follow these steps:
1. Determine the range of x: In this case, the range of x is [6.5, 7.5].
2. Identify the probability density function (pdf) for a uniform distribution: The pdf for a uniform distribution is f(x) = 1/(b-a), where a and b are the endpoints of the interval.

In this case, a = 6.5 and b = 7.5.
3. Calculate the value of the pdf:

Using the formula, f(x) = 1/(7.5-6.5) = 1/1 = 1.
4. Plot the graph: Since the pdf has a constant value of 1 in the interval [6.5, 7.5], the graph is a horizontal line at the height of 1, stretching from  x = 6.5 to x = 7.5.

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The experimental probability that the next train to pull into Lakeside Station will be full is 7/10.

The experimental probability of the next train to pull into Lakeside Station being full can be calculated by dividing the number of times a full train occurred by the total number of trains observed.

Given that out of the last 20 trains, 14 were full, we can express the experimental probability as a fraction:

P(full) = Number of full trains / Total number of trains observed

P(full) = 14 / 20

Simplifying the fraction, we get:

P(full) = 7 / 10

Therefore, the experimental probability that the next train to pull into Lakeside Station will be full is 7/10.

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