Find an equation in standard form for the hyperbola with vertices at (0, ±4) and asymptotes at y = ±2/3x.

The answer is:

The second option,

[tex]SU=13.02=13[/tex]

We are working with a right triangle, it means that we can use the following trigonometric property:

[tex]Tan(\alpha)=\frac{Opposite}{Adjacent}[/tex]

Which applied to our problem, will be:

[tex]Tan(\alpha)=\frac{TU}{SU}[/tex]

We are given:

m∠S, equal to 21°

The side TU (opposite) equal to 5 units.

So, substituting and calculating we have:

[tex]SU=\frac{TU}{Tan(\alpha)}[/tex]

[tex]SU=\frac{5units}{Tan(21\°)}[/tex]

[tex]SU=13.02=13[/tex]

Hence, the answer is the second option

[tex]SU=13.02=13[/tex]

Have a nice day!

Answer:

13.0

Step-by-step explanation:

The given angle is m<S=21.

The given side length UT=5 units.

This side length is opposite to the given angle.

Since we want to find SU, the adjacent side; we use the tangent ratio to obtain;

[tex]\tan 21\degree=\frac{opposite}{adjacent}[/tex]

[tex]\tan 21\degree=\frac{5}{SU}[/tex]

This implies that;

[tex]SU=\frac{5}{\tan 21\degree}[/tex]

Therefore SU=13.025

The nearest tenth

SU=13.0

Answer:

Step-by-step explanation:

let x be the price of the stock

the change in price is x+6-8

the equation is x-2, integer is -2

Answer:

6 performances

Step-by-step explanation:

They already made $1200, so 5000-1200= $3800 left that they need to make, so you need to divide: 3800/700=6 performances to break even (rounded up to the nearest whole number).

Answer:

x=76°

Step-by-step explanation:

When these lines are parallel, these two angles would be alternate interior angles. This means that they must be congruent

Therefore, x=76°

Answer:

76°

Step-by-step explanation:

Through Alternate Interior Angles theorem.

This theorem is applied when lines a and b are parallel.

Answer:

  see below

Step-by-step explanation:

You want terms that have a common ratio of 3, so the term in the summation will be 3 to some power. Only the first expression matches that requirement.

You can try different values of n to see if they fit the problem description.

  n = 1: 1(3)^0 = 1(1) = 1

  n = 2: 1(3)^1 = 1(3) = 3

  n = 3: 1(3)^2 = 1(9) = 9 . . . . . the third triangle in the set has 9 shaded triangles, as this expression predicts. Thus, we see the problem description being matched by the first answer choice shown.

Answer:

A

Step-by-step explanation:

egde 2020

Answer:

-2u + w ⇒ answer B

Step-by-step explanation:

* To solve this problem you must find the result from the graph

- The ray move from the origin 6 units to the left and then 1 unit up

∴ The result is <-6 , 1>

* Now lets check which answer give the same result

∵ u = <5 , -5> , v = <1 , -4> , w = <4 , -9>

# Answer A: w - 2v

∵ w = <4 , -9>

- Find 2v by multiply v by 2

∵ 2v = 2<1 , -4> = <2 , -8>

- Subtract 2v from w

∴ w - 2v = <4 , -9> - <2 , -8> = <(4 - 2) , (-9 - -8)> = <2 , -1> ≠ <-6 , 1>

# Answer B: -2u + w

∵ u = <5 , -5>

- Find -2u by multiply u by -2

∵ -2u = -2<5 , -5> = <-10 , 10>

- Add -2u and w

∵ w = <4 , -9>

∴ -2u + w = <-10 , 10> + <4 , -9> = <(-10 + 4) , (10 + -9)> = <-6 , 1> = <-6 , 1>

∴ The answer is B

Answer:

your answer would be b

Step-by-step explanation:

Surface area is square units, so you would need to square the scale factor.

The length was tripled, which means it is a scale factor of 3

3^2 = 9

The surface area would increase by a factor of 9.

The answer is B.

Answer:

Difference

Step-by-step explanation:

Remember that the therms of any subtraction problem are minuend, subtrahend, and difference.

- The minuend is the number from which you subtract something. For example, in the subtraction problem 4 -3 = 1, 4 is the minuend (you are subtracting 3 form it).

- The subtrahend is the number you subtract (from the minuend). For example, in 4 - 3 = 1, 3 is the subtrahend (you are subtracting 3 from the minuend 4).

- The difference is the result of subtracting the subtrahend form the minuend, in other words, the result of the subtraction problem. For example, in 4 - 3 = 1, 1 is the difference (the result)

We can conclude that the result of a subtraction problem is called the difference.

. In mathematics, the answer to a subtraction problem is called the difference.

For example, when you subtract 3 from 5, you perform the following calculation:

5 - 3 = 2

Here, 2 is the difference. Similarly, if you subtract -6 from 2, you change the sign of the number being subtracted and then add:

2 - (-6) = 2 + 6 = 8

The answer, 8, is the difference as well.

The concept of difference holds true for both scalar and vector quantities. For both types, the difference is the result of the subtraction operation.

ANSWER

Subtract 3-1

EXPLANATION

The given line segment has endpoints at (1,6) to (3,6).

This line is a horizontal straight line because the y-coordinates of both points are the same.

We can therefore use the number line method to find the length of this line segment.

Using this method, we subtract the initial x-value from the terminal x-value.

The best description is:

Subtract 3-1

Answer:

I believe the answer is B

Step-by-step explanation:

Answer:

the answer is B  

Step-by-step explanation:

Answer:

Step-by-step explanation:

(look at the picture)

We have opposite and adjacent. Therefore we must use the tangent:

[tex]\tangent=\dfrac{opposite}{adjacent}[/tex]

[tex]adjacent=500\\opposite=x\\\tan10^o\approx0.1763[/tex]

Substitute:

[tex]\dfrac{x}{500}\approx0.1763[/tex]       multiply both sides by 500

[tex]x\approx88.15\to x\approx88.2[/tex]

Answer:

3sqr(x) root is 0

Step-by-step explanation:

Answer:

the prices and quantity in an entire market.

Step-by-step explanation:

The supply schedule shows the supply changes when the prices are increased or decreased. There is a table which is called market supply schedule or inventory. It lists the amount contributed for a product or service that the suppliers of whole economy are willing and able to supply at all possible prices.

Answer:

B....the prices and quantity in an entire market

Step-by-step explanation:

took test

Answer:

16 ft²

Step-by-step explanation:

The area (A) of a triangle is calculated using the formula

A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )

here b = 8 and h = 4, thus

A = [tex]\frac{1}{2}[/tex] × 8 × 4 = 16 ft²

Answer:

A

Step-by-step explanation:

You take the number of shirts you have and are focusing on. In this case concert (12) and divide it by the total number of shirts to get the expected.

You can use the fact when random picking of t shirts happen, the probability of picking the Concert shirt can be taken by number of concert t shirts in total number of shirt since there is no bias towards a particular t shirt except their frequency.

The frequency of  concert shirts obtained out of selected shirts compare to the expected frequency of the concert shirt as:

Option A: The frequency is 1 fewer that expected.

Suppose there are 100 fruits and 50 of them are apples and 50 other are mangoes. Then we can say that each one of the two fruit is apple and other one is mango. This 1 apple per 2 fruit is telling frequency of apples in selected 2 fruits.

Frequency is number of amount that item is present in the selected group.

The expected frequency can be obtained by seeing how many such objects are available to how many total objects.

You can think of expected frequency as how many of the considered object we expect to be present in the total amount of objects.

Thus, we have:
Expected frequency for concert shirt is 12 per 30 shirts or 4 per 10( i divided by 3) shirts or 2 per 5 shirts ( divided by 2). You can convert this to percent or probability too or ratio too like

2:5 = 2/5 = 0.4 = 40% (all four represent how many of the concert shirts are expected to be present out of amount of total shirts selected).

The frequency obtained from the selection contains 3 concert shirts out  of 10 selected shirts.

Since the expected frequency of the concert shirts per 10 shirts selected is 4, and the frequency we obtained is 3, thus. the frequency obtained is 1 fewer than the expected.

Thus,

Option A: The frequency obtained is 1 fewer than expected.

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Answer:

374.1

Step-by-step explanation:

Area of Hexagon = [tex]\frac{3\sqrt{3} }{2} * a^{2}[/tex]

The ' a ' is the side length.

So now we just plug in the values

[tex]\frac{3\sqrt{3} }{2} *12^{2}[/tex] = 374.12

Answer:

23.32 degrees

Step-by-step explanation:

We set up a large right triangle that has 2 triangles within it.  The large triangle is a right triangle.  The height of it is the height of the tower, the base angle is 62, the hypotenuse is 95, and the base measure is y.  The other triangle has the same height which is the height of the tower, the angle is what we are looking for, and the base measure is 150 feet beyond y, so its measure is y + 150.  We have enough information to find the height of the tower, so let's do that first.  Going back to the first smaller triangle.  

[tex]sin62=\frac{x}{95}[/tex] so the height of the tower is 83.88 feet.  Now we need to solve for y.  Using that same triangle and the tangent ratio, we find that [tex]tan62=\frac{83.88}{y}[/tex].  Now let's do the same thing for the other triangle with the unknown angle.

[tex]tan\beta =\frac{83.88}{y+150}[/tex]

Solve both of these for y.  The first one solved for y:

[tex]y=\frac{83.88}{tan62}[/tex]

The second one solved for y will simplify to:

[tex]y=\frac{83.88-150tan\beta }{tan\beta }[/tex]

Now that these are both solved for y, and y = y, we can set them equal to each other by the transitive property of equality:

[tex]\frac{83.88-150tan\beta }{tan\beta }=\frac{83.88}{tan62}[/tex]

Cross multiply to get this big long messy looking thing:

[tex]tan62(83.88-150tan\beta )=83.88tan\beta[/tex]

Distribute through the parenthesis to get

[tex]83.88tan62-[(tan62)(150tan\beta)]=83.88tan\beta[/tex]

Get the unknown angles on the same side so it can be factored out:

[tex]83.88tan62=83.88tan\beta +[(tan62)(150tan\beta )][/tex]

And then factoring it out gives you:

[tex]83.88tan62=tan\beta(83.88+150tan62)[/tex]

Divide to get

[tex]tan\beta =\frac{83.88tan62}{83.88+150tan62}[/tex]

Do this on your calculator in degree mode to give you an angle measure of 23.32°.  I know this is really hard to follow without being able to draw the pics for you like I do in my classroom, but hopefully you can follow my description and draw your own triangles and follow from that!

An angle of elevation is formed by two reference lines; the horizontal line and the line from the reference point to the point in view

The angle of elevation from the point on the ground where Joey is standing to the top of the tower is approximately 23.318°

Reason:

Given parameter;

Length of the wire = 95 ft.

Angle formed by the wire and the ground = 62°

Location Joey is standing behind the wire, L = 150 feet

Required:

The angle of elevation from the ground at the point where Joey is standing to the top of the tower

Solution:

The height of the tower, h = 95 × sin(62°) ≈ 83.88 feet

Distance of the tower to the point the wire touches the ground, d, is given as follows;

d = 95 × sin(62°) ≈ 44.6 ft.

The distance of of Joey from the base of the tower, D = L + d

D = 150 ft. + 44.6 ft. = 194.6 ft.

Distance of Joey from the base of the tower, D = 194.6 ft.

Let θ represent the angle of elevation from the point on the ground where Joey is standing to the top of the tower, we have;

[tex]tan(\theta ) = \dfrac{h}{D}[/tex]

Therefore;

Which gives;

The angle of elevation from the point on the ground where Joey is standing to the top of the tower, θ ≈ 23.318°

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Hi there, Queen Tima! I hope you're having a great day today!!

You selected the correct boxes!

If I helped out please consider helping me out back by giving me brainliest! Thank you :DD

-Austin <3

Answer:

I would think it's all correct. Not sure about option 2. but I'm 99% sure it's right

Hope this helps :)

Sorry if i'm wrong

Please mark brainliest :D

Answer:

The answer is C

Step-by-step explanation:

I just took the exact same test and got a 100% on it, I had previously answered this question when echo2155 rudely claimed that I didn't show any work, most people just answer the question and don't show work because most people just want the answer not the work for it. IF YOU AGREE WITH ME GIVE A THANKS AND 5-STARS, AND COMMENT "BOO echo2155!"

Thank you all who do this!

No, it has more than one. A rectangle is symmetric with respect to its diagonals, and the lines connecting the midpoints of two opposite sides.

Answer:

19/12 or 1 7/12 lbs

5/6 + 3/4

Find a common denominator, aka least common multiple

So, 5/6 becomes 20/24 and 3/4 becomes 18/24

20/24 + 18/24 = 38/24 which simplifies to 19/12 or 1 7/12

Answer:

19/12 pounds which is equal to 1.583 pounds

Step-by-step explanation:

The total pounds of beans bought is a function of the amount of black beans and the amount of pinto beans. These two added together gives the amount of beans bought.

Given,

Amount of black beans = 5/6 pounds

Amount of Pinto beans = 3/4 pounds

Total pounds of beans purchased = 5/6 + 3/4

=(10 + 9)/12

= 19/12 pounds

= 1.583 pound

Answer:

Option b.  sum of all areas of faces

Step-by-step explanation:

we know that

The surface area of the prism is equal to the area of its bases plus the area of its four rectangular lateral faces

so

[tex]SA=2B+PH[/tex]

where

B is the area of the base

P is the perimeter of the base

H is the height of the prism

therefore

sum of all areas of faces

Answer:

Option B would be correct.

Step-by-step explanation:

The general formula for the total surface area of a right prism is T. S. =ph+2B where p represents the perimeter of the base, h the height of the prism and B the area of the base. There is no easy way to calculate the surface area of an oblique prism in general.

To find the total surface area of a prism, you need to calculate the area of two the polygonal bases i.e. the top face and bottom face. And then calculate the area of lateral faces connecting the bases. Add up the area of the two bases and the area of the lateral faces to get the total surface area of a prism.

Therefore, it would be option B.

To find the change in the temperature, solve for the equation below.

[tex]x - 13 = -4[/tex]

We now know that the temperature changed by 9 degrees.

[tex]x = 9[/tex]

So, we are looking for the answer which indicates that the temperature changed by 9 degrees.

[tex]-4 + 13 = 9[/tex]

The equation that would be used to show the difference in temperature from Saturday to Sunday is -4 + 13 = 9.

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

The temperature Saturday is -13°, and on Sunday it is -4°.

The change in the temperature, solve the equation below.

x - 13 = -4

Now, we know that the temperature changed by 9 degrees.

x = 9

The answer indicates that the temperature changed by 9 degrees.

-4 + 13 =9

The equation that would be used to show the difference in temperature from Saturday to Sunday is -4 + 13 = 9.

Learn more about equations here;

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Answer:

68

Step-by-step explanation:

because 75-20= 55 cuz 20 were used

55-12= 43 cuz then 12 more were used

43+25= 68 cuz 25 was added

so 68

Answer:

15.04

Step-by-step explanation:

.06 % of 16 is .96 and 16- .96= 15.04

Hope this helps!

The answer is 15.94!!

Answer: C. 4

Step-by-step explanation:

Answer:

Below

Step-by-step explanation:

The dish had intially 2500 bacteria. The bacteria triples every month.

So after a month the number will be 7500 =>(2500×3)

So let 2500 be the n0 and 7500 be n1

● n1 = 3×n0

Following the same way we get:

● n2= 3× n1

● n3 = 3× n2

If we kept repeating the same process we will get:

● n9 = n8 × 3

n9 is the number of Bacteria during the 10th month

let's calculate n9.

● n9 = n8 × 3

● n9 = n0 × 3^10

● n9 = 2500 × 3^10

● n9 = 147 622 500

● n9 = 1.476225 ÷ 10^8

The number of bacteria will be 147,622,500 in 10 months according to the GP.

A geometric progression (GP), sometimes known as a geometric sequence, is a series of integers that differ by a common ratio.

Given, The dish had initially 2500 bacteria. The bacteria triples every month. So after a month, the number will be (g1) = 2500 * 3 = 7500. Since data is in geometric progression where ratio (r) is 3 and first term (a) is 7500.

Hence, the nth term of GP (Tₙ)  = a * rⁿ⁻¹

10th term of Given GP (T₁₀) = 7500 * 3¹⁰⁻¹ = 147,622,500

Therefore, 147,622,500 bacteria will be there in the petri dish after 10 months

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Answer:

Choice A. [tex]\frac{7\sqrt{x}}{6}[/tex] is the correct choice.

Step-by-step explanation:

Given expression for the quotient is [tex]\frac{\sqrt{98x^3}}{\sqrt{72x^2}}[/tex].

Now we need to find the equivalent choice of [tex]\frac{\sqrt{98x^3}}{\sqrt{72x^2}}[/tex].

So let's find that by rewriting them inside same radical

[tex]\frac{\sqrt{98x^3}}{\sqrt{72x^2}}[/tex]

[tex]=\sqrt{\frac{98x^3}{72x^2}}[/tex]

[tex]=\sqrt{\frac{49x^3}{36x^2}}[/tex]

[tex]=\sqrt{\frac{49x}{36}}[/tex]

[tex]=\frac{7\sqrt{x}}{6}[/tex]

Hence choice A. [tex]\frac{7\sqrt{x}}{6}[/tex] is the correct choice.

Answer:

Step-by-step explanation:

[tex]\bf \begin{array}{|cl|ll} \cline{1-2} term&value\\ \cline{1-2} f(1)&\\ f(2)&\\ f(3)&7\\ f(4)&7r\\ f(5)&7rr\\ &252\\ \cline{1-2} \end{array}\qquad \qquad 7rr=252\implies 7r^2=252\implies r^2=\cfrac{252}{7} \\\\\\ r^2=36\implies r=\sqrt{36}\implies r=6 \\\\[-0.35em] ~\dotfill\\\\ \begin{array}{|cl|ll} \cline{1-2} term&value\\ \cline{1-2} f(1)&\stackrel{\frac{7}{6}\div 6}{\cfrac{7}{36}}\\ &\\ f(2)&\stackrel{7\div 6}{\cfrac{7}{6}}\\ &\\ f(3)&7\\ f(4)&42\\ f(5)&252\\ f(6)&1512\\ \cline{1-2} \end{array}[/tex]

notice, once we know what the common factor "r" is, from the 3rd term we can simply multiply it by "r" to get the next term, and divide the 3rd term by "r" in order to get the previous term, namely the 2nd term, and then divide the 2nd by "r" to get the 1st one.