50 points and brainliest ​

Answer:

Step-by-step explanation:

According to hyperbola form:

The slope of the asymptote is:

Find the slope:

Correct choice is A

General equation is given be

\(\boxed{\sf \dfrac{y^2}{a^2}-\dfrac{x^2}{b^2}=1}\)

On comparing

Now

\(\\ \rm\Rrightarrow m=\pm \dfrac{a}{b}=\pm\dfrac{9}{12}=\pm \dfrac{3}{4}\)

Option A is correct

Answer:  The next term is -12.

Step-by-step explanation:

16,9,2,-5  

Looking at these numbers to go from 16 to 9 you will add -7 or subtract 7 . The same way you subtract 7 from 9 to get 2  and subtract 7 from 2 to get -5.

So to determine the next term subtract 7 from -7   or add -7.

-5 - 7 = -12

0r  -5 + -7 = -12  

\( &#128075 \) Hello ! ☺️

Step-by-step explanation:

•Find the next term of the sequence.

Let us find the interval between two successive terms:

16 - 9= 7

-7 is therefore the common différence of this sequence. (d)

Find the next term :

-5 + (-7)= -12

\(\boxed{\color{gold}{N = -12}} \)

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The expanded form of the expression is 10 + 9 + 0.3 + 0.00 + 0.005

He runs the 100 meters dash in 19.305 seconds.

Therefore, the seconds he runs the race can be represented in expanded form as follows:

Expanded form is a way to write a number by adding the value of its digits.

We can use a place value chart to think of the value of a number's digits.

Therefore,

19.305 in expanded form is as follows:

19.305 = 10 + 9 + 0.3 + 0.00 + 0.005

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The relationship between the number of gallons of gas and the cost in dollars is: C. The cost of gas is $3.75 per gallon.

In Mathematics, a proportional relationship is a type of relationship that generates equivalent ratios and it can be modeled or represented by the following mathematical expression:

y = kx

Where:

Next, we would determine the constant of proportionality (k) for the relationship between the number of gallons of gas and the cost in dollars on this graph as follows:

Constant of proportionality, k = y/x

Constant of proportionality, k = 7.5/2

Constant of proportionality, k = $3.75.

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The distance from the north most ship to the observation is 2.9 miles and the distance from the south most ship to the observation is 9.9 miles.

The bearing is defined as the angle measured clockwise from the north direction. A ship is anchored off a long straight shoreline that runs north and south.

From two observation points miles apart on shore, the bearings of the ship are 52 degrees and 134 degrees respectively. To find the distance from the ship to each of the observation points, we can use trigonometry.

Let's call the distance from the north observation point to the ship x, and the distance from the south observation point to the ship y. The bearings from the north and south observation points can be drawn as follows:

[asy]

unitsize(1cm);

pair O = (0,0), N = (-2,0), S = (2,0), A = (-2,1), B = (2,-1);

draw(O--N--A,Arrow);

draw(O--S--B,Arrow);

\(label("$52^\circ$", N + 0.3*dir(52), NE);\)

\(label("$134^\circ$", S + 0.3*dir(134), SE);\)

draw(O--A--B--cycle,dashed);

\(label("$x$", (N+A)/2, W);\)

\(label("$y$", (S+B)/2, E);\)

[/asy]

We can use the tangent function to find x and y, since we have the angle and opposite side.

From the north observation point, we have:

\($$\tan(52^\circ) = \frac{x}{2}$$$$x = 2\tan(52^\circ) \approx 2.95$$\)

From the south observation point, we have:

\($$\tan(134^\circ) = \frac{y}{2}$$$$y = 2\tan(134^\circ) \approx 9.88$$\)

Therefore, the distance from the north most ship to the observation is 2.9 miles and the distance from the south most ship to the observation is 9.9 miles.

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Answer:

Yes! Integers can be negative! -3, -4, -9, -2... You name it!

Answer:

Yes! Integers are whole numbers so, that includes negative numbers! As an example \(\frac{4}{5}\) is not an integer!

Hope this Helps! :)

Have any questions? Ask below in the comments and I will try my best to answer.

-SGO

Answer:

the height of the tree is 432 feet. Answer: (b) 432 ft.

Step-by-step explanation:

We can set up a proportion to solve the problem:

height of tree / length of yardstick shadow = length of tree shadow / length of yardstick shadow

Let h be the height of the tree. Then we have:

h / 6 = 72 / 1

Multiplying both sides by 6, we get:

h = 6 x 72 = 432

Therefore, the height of the tree is 432 feet. Answer: (b) 432 ft.

The translation direction is 5 units to the left.

To determine the translation direction and number of units, we can compare the original coordinates of point Q (Q(5, 4)) with the new coordinates of Q' after the translation (Q'(0, 4)).

By comparing the x-coordinates, we can see that the x-coordinate of Q' is smaller than the x-coordinate of Q, which means the triangle was translated to the left.

By comparing the y-coordinates, we can see that the y-coordinate of Q' is the same as the y-coordinate of Q, which means there was no vertical translation.

Therefore, the translation direction is 5 units to the left.

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Answer:

Emma can read 30 pages per minute

Number of book pages 28

Step-by-step explanation:

Answer:

probably c. the one w cos(165) on the end

Step-by-step explanation:

hope this drawing helps at all~ looks a bit busted but yea

The value of expression is, \(|r-s|=\sqrt{284.5}=16.86\)

If two vector r and s are present. Then magnitude of resultant of these two vectors are calculated by cosine formula.

               \(|r-s|^{2}=r^{2} +s^{2} +2|r||s|cos\theta\)

Where \(\theta\) is angle between both vectors.

A diagram is attached below.

               \(|r-s|^{2}=6^{2} +11^{2} +2*6*11*cos15\\\\|r-s|^{2}=36+121+127.5\\\\|r-s|^{2}=284.5\\\\|r-s|=\sqrt{284.5}=16.86\)

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The volume of the log will be 30,70,760 m³.

Mathematically, we can write Archimedes principle as -

F{buoyant} = - fluid density {ρ} x acceleration due to gravity {g} x volume {v}

Given is that a 3080 kg log of wood with a diameter of 1 m and 10 m long, it floats in the water.

Since the log floats on water, the density of both the log and water is same.

So, we can write volume as -

Volume = 3080 x 997 Volume = 30,70,760 m³

Therefore, the volume of the log will be 30,70,760 m³.

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{QUESTION IN ENGLISH -urgent A 3,080 kg log of wood with a diameter of 1 m and 10 m long, it floats in the water. What is the volume of the trunk above the surface of the water?}

40.63%

(adding extra words so it's longer than 20 don't mind me here)

Answer:

I cant see it ill go on your page when you post it with the picture.

Answer:

Step-by-step explanation:

Answer:

The height is 1.25m.

Step-by-step explanation:

Volume = 1/3 πr²h

Given:

V = 13.4 m³

r = 3.2 m

Asked: height (h)

Substitute the formula with the given values then solve

13.4m³ = 1/3π(3.2m)²h

13.4(3) = 10.24πh

40.2 = 10.24πh

h = 40.2/10.24π

h = 1.25m

The height of the cone is 1.25 meters.

We know that the volume of the cone is given by

V = (1 / 3) * π * r ^2 * h................equation 1

where,

V is the volume of the cone.

r is the radius of the cone's base

h is the height

The volume and radius of the cone are given,

V = 13.4 m

r = 3.2m

substituting these values in equation 1 we get,

13.4 = (1 / 3) * 3.14 * 3.2 ^ 2 * h

on simplifying further

13.4 = 10.717  * h

h = 1.25m

The height of the cone is 1.25 meters.

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Answer:

x + 2

Step-by-step explanation:

Area = x² + 11x + 18

length = x + 9

width = ?

Area = length x width

Factor the polynomial x² + 11x + 18:

length x width = (x + 9)(x + 2) = x² + 11x + 18

The length is x + 9, therefore the width is x + 2

The measure of distance x, that is, the distance between a point P and the point of horizon, is equal to 284.372 miles.

In this problem we must determine the distance between a point P located about earth's circumference and the point of horizon, located on earth's circumference. Since the line between these two points is tangent to earth, then, distance x can be found by Pythagorean theorem:

x = √[(3959 mi + 10.2 mi)² - (3959 mi)²]

x = 284.372 mi

The distance x is equal to 284.372 miles.

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Answer:

-23

Step-by-step explanation:

I dont really know how to explain this sorry. but I hope it some what helps

Answer:

You cannot solve this problem with only one given equation

Step-by-step explanation:

You need at least 2 equations to solve for two variables.

Answer:

X > 3

EDIT*

H > 3

Apologies, I've forgotten to change the subtitude.

Step-by-step explanation:

-Solve the inequality

Hope it helps! :)

Answer:

= ( $18.2, $18.8)

Therefore, the 98% confidence interval (a,b) = ( $18.2, $18.8)

Step-by-step explanation:

Confidence interval can be defined as a range of values so defined that there is a specified probability that the value of a parameter lies within it.

The confidence interval of a statistical data can be written as.

x+/-zr/√n

Given that;

Mean x = $18.50

Standard deviation r = $6.10

Number of samples n = 2253

Confidence interval = 98%

z(at 98% confidence) = 2.33

Substituting the values we have;

$18.5+/-2.33($6.1/√2253 )

$18.5+/-2.33($0.128513644290)

$18.5+/-$0.299436791196

$18.5+/-$0.3

= ( $18.2, $18.8)

Therefore at 98% confidence interval (a,b) = ( $18.2, $18.8)

Answer:

y = 3x + 5 option A

Step-by-step explanation:

For 2 lines that are parallel with slopes m1 and m2, the slopes are equal. Hence

m1 = m2

Given the line y = 3x - 5 Comparing with the general equation of a line

y = mx + c where m is the slope of the line

m = 3

hence m1 = m2 = m = 3

For the line that passes through the given point (2,11) Using

y - y1 = m (x - x1)

y - 11 = 3(x - 2)

y - 11 = 3x - 6

Add 11 to both sides

y = 3x - 6 + 11

y = 3x + 5

Answer:

64

Step-by-step explanation:

152+84=236

300-236=64

A) - The NEW VALUE in terms of the old value is 0.91  times the old value.

B) - The NEW VALUE of the HOUSE is:  299,000  *  0.91  =  $272,090

      A) - Calculate the Percentage of the Value Remaining After the Decrease

       B) - Calculate the NEW VALUE of the house

A) - The PERCENTAGE of the VALUE REMAINING AFTER the DECREASE

      100%  -  9%  =  91%

        0.91

B) - Calculate the NEW VALUE of the house:

NEW VALUE  =  OLD VALUE  *  REMAINING PERCENTAGE

NEW VALUE  =  299,000  *  0.91

A) - The NEW VALUE in terms of the old value is 0.91  times the old value.

B) - The NEW VALUE of the HOUSE is:  299,000  *  0.91  = $272,090

I hope it helps!

Answer:

To find the slope use the slope-intercept form y=mx+b.

m = 1/3

Answer:

-x+3y=10

the slope is1/3

m=-1/3

Answer:

T1=-12

T2=-19

T3=-26

Step-by-step explanation:

Determine which term will have a value of -6998

-7n-5=-6998

-7n=-6998+5

-7n=-6993

-7n/-7=-6993/-7

n=999

Given:

a.) After 2 minutes, the tank contains 400 gallons.

b.) After 5 minutes, the tank is full.

For us to be able to determine how many gallons of water does the full tank hold, let's first determine the discharge rate of the water filling in the tank.

We get,

Since the tank is after 5 minutes of pumping water at a constant rate, we will just multiply the rate of discharge by the time it took for the tank to be full.

We get,

Therefore the volume of the tank is 1000 Gallons

Answer:

the answer is the top right option

Step-by-step explanation: