The equation x^2/24^2 - y^2/ (blank)^2= 1 represents a hyperbola centered at the origin with a directrix of x = 576/26.
The positive value (of what) correctly fills in the blank in the equation.

The answer is the distributive property

[tex]\frac{735}{5} = 147[/tex]

Answer:

The correct answer would be 7. Explaination below

Step-by-step explanation:

8 + 7 = 15

15 + 3 = 18

18 - 11 = 7

The person is 17 miles from the starting point.

To find the distance from the starting point, we can use the Pythagorean theorem. The person traveled 8 miles north and 7 miles north, which gives us a total north component of 8 + 7 = 15 miles. The person also traveled 3 miles west and 11 miles east, which gives us a total east component of 11 - 3 = 8 miles. Using the Pythagorean theorem, the distance from the starting point is √(15^2 + 8^2) = √(225 + 64) = √289 = 17 miles.

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Answer:

The voltage across resistor is [tex]E_{R}=96V[/tex]

Step-by-step explanation:

We are given with Voltage across terminals of a series RL circuit, [tex]E_{T}=120V[/tex]

And Resistance R=40Ω

And inductor reactance [tex]X_{L}=30[/tex]Ω

Since Resistor and inductor are in series, same current flows through both.

And that current, I = [tex]\frac{E_{T}} {Z}[/tex]

                             [tex]=\frac{120}{\sqrt{40^{2}+30^{2}}}= \frac{120}{\sqrt{2500}}[/tex]

                            = [tex]\frac{120}{50}=2.4A[/tex]

Therefore voltage across resistor, [tex]E_{R}=IR=2.4X40=96V[/tex]

The voltage across the resistor in the RL circuit, given the total voltage, resistance, and inductive reactance, can be calculated using Ohm's Law and the principles of Kirchhoff's voltage law. The final calculated voltage is 96 volts.

In this RL circuit, we're given the total voltage (ET), the resistance (R), and the inductive reactance (XL). Here, we need to calculate the voltage across the resistor, or ER. In a series RL circuit, the sum of the voltages across the resistor and the inductor equal the total voltage, according to Kirchhoff's voltage law. This is written as:

ET = ER + EL

Where ET is the total circuit voltage, ER is the voltage across the resistor, and EL is the voltage across the inductor. The voltage across the resistor, ER, can be calculated using Ohm's Law (V=IR). The current can be calculated using the total voltage divided by the overall impedance (Z). Therefore, ER can be calculated using the equation ER = IR, where I = ET/Z, and Z is the square root of R^2 + XL^2. With the provided values, we calculate:

Z = sqrt(R^2 + XL^2) = sqrt(40^2 + 30^2) = 50 Ω

I = ET/Z = 120/50 = 2.4 A

Finally, calculate ER:

ER = IR = 2.4 * 40 = 96 volts.

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Divide both from top to bottom:

5/16 = 0.3125

10/11 = 0.9090..

-19/10000 = -0.0019

hope that helps :)

Multiply 14/20 by 5 to make the denominator 100.  14/20 x 5 = 70/100. So, 14/20 as a percentage is 70%.

s = 6 + e

s + e = 28

We can use this system of equations to find the exact values of s and e.

We have a current value of s, so we can find the exact value of e now.

e + e + 6 = 28

Combine like terms.

2e + 6 = 28

Subtract both sides by 6.

2e = 22

Divide both sides by 2.

e = 11

Now we have an exact value of e, and can solve for the value of s.

s = 6 + 11

s = 17

Sophia is 17 years old, and Eric is 11 years old.

The age of Sophia is 17 years and Eric is 11 years.

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.

Variables are the name given to these symbols because they lack set values.

In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.

Given:

Sophia is 6 years older than her brother eric.

The sum of their ages is 28.

let the age of Eric be x.

So, Sophia's age will be x+ 6

Then, x+ x +6 = 28

2x + 6= 28

2x= 22

x= 11

Hence, the age of Sophia is 17 years and Eric is 11 years.

Learn more about Algebra here:

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Answer:

The cooling tower is 68 meters wide at its highest point, which is 160 m above the ground.

Please, see the attached files.

Thanks.

Using linear interpolation, we calculated the width of the hyperbolic cooling tower 160 meters above the ground to be 4 meters.

The problem presented is related to linear interpolation, which is a method used to find a value between two points on a line. In this problem, we have a hyperbolic cooling tower, which is smaller at its most narrow section than at its base. At the base it is 100 meters wide while 100 meters above the ground it is 40 meters wide. Assuming linear change in the width with respect to height, we can compute the width at the highest point of the tower, which is 160 meters from the ground. The decrease in width per meter as the tower height increases is (100 - 40) / 100 = 0.6 meters/meter.

To determine the width of the tower 160 meters above the ground, we calculate 100 (width at base) - (0.6 * 160) = 100 - 96 = 4 meters. Thus, the tower would be 4 meters wide at the height of 160 meters above ground.

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The answer you want is going to be 164+3.28

Answer:

Step 3 is [tex]=164 + 3.28[/tex]            

Step-by-step explanation:

Given : Yuuma applied the steps below to find the product of (–10.2)(–16.4).

To find : Which expression correctly fills in the blank in Step 3?

Solution :

The given expression is  [tex](-10.2)(-16.4)[/tex]

Step 1 : Write the expression,

[tex](-10.2)(-16.4) = (-16.4)(-10.2)[/tex]

Step 2: Distribute 10.2 into two parts 10+0.2

[tex]=(-16.4)(-10) + (-16.4)(-0.2)[/tex]

Step 3: Simplify the multiplication,

[tex]=164 + 3.28[/tex]

Step 4: Add the terms

[tex]=167.28[/tex]

Therefore, Step 3 is [tex]=164 + 3.28[/tex]

3a + 2b = 13   ⇒   -1(3a + 2b = 13)   ⇒   -3a - 2b = -13

3a + 6b = 33   ⇒   1(3a + 6b = 33)   ⇒   3a + 6b = 33

                                                                         4b = 20

                                                                           b = 5

3a +  2b = 13

3a + 2(5) = 13

3a +  10  =  13

3a           = 3

  a          = 1

Answer: a = 1, b = 5  

The answer: 0.8 pounds each day

u = 4

Since its looking for the area you would do length times width. What times 2 would equal to 8? 4.

4 * 2 = 8 which concludes its area

S2=2*S1+1

S3=3*S1-1

P=S1+S2+S3

42=S1+2*S1+1+3*S1-1

42=6*S1

S1=42/6

S1=7 ANS. FOR S1.

S2=2*7+1=14+1=15 ANS FOR S2.

S3=3*7-1=21-1=20 ANS. FOR S3.

PROOF:

42=7+15+20

42=42

Answer:

Step-by-step explanation:

The perimeter is the addition of all sides

x+y+z=40

where x=1st side, y=2nd side, z= 3rd side

2nd side exceeds twice the first side by 1 inch= y=2x+1

the third side is 2 inches less than the second side z=y-2=2x+1-2=2x-1

plugging in the perimeter equation

x+(2x+1)+(2x-1)=40

5x=40

x=8 inches (1st side)

y=2*8+1=17 inches (2nd side)

z=2*8-1=15 inches (3rd side)

Starting with the 120° angle, relative to that, we have

... I is vertical so equal, 120°

... J, K are linear angles, so supplementary, 60°

... Q is same-side internal, so supplementary, 60°

... P is alternate internal, so equal, 120°.

Starting with the 40° angle, relative to that, we have

... M is vertical, so equal, 40°

... N, O are linear angles, so supplementary, 140°

... G is corresponding, so equal, 40°

... E is alternate external, so equal, 40°

... F is same-side external, so supplementary, 140°

H is an external angle to the triangle LMQ. Angles M and Q are opposite internal angles, so H is their sum, 40° +60° = 100°. (H is also opposite internal angles G and K, which have the same sum.)

L is a linear angle with H, so supplementary, 80°.

In summary,

... E 40°, F 140°, G 40°, H 100°, I 120°, J 60°, K 60°, L 80°, M 40°, N 140°, O 140°, P 120°, Q 60°

The answer should be A

For this question, you can solve by using the Cross Multiplication method.

(Pounds = lb, Ounces = oz)

35oz/Xlb = 16oz/1lb

Solve for x. First cross multiply 35oz by 1lb to get 35oz/lb. Then divide by 16oz to cancel out oz and end up with 2.1875lb. Which rounds up to 2.19lb.

35oz * 1lb ÷ 16oz = 2.19lb

The Answer is A.) 2.19 pounds

Hoped This Helped!

So to solve for an inequality, you must isolate the variable, in this case x, to one side.

Starting with 3.5x - 10 > -3, firstly add both sides by 10:

3.5x > 7

Next, divide both sides by 3.5 and your first half is:

x > 2

Next with 8x - 9 < 39, firstly add both sides by 9:

8x < 48

Next, divide both sides by 8 and your second half is:

x < 6

Putting it together, your final answer is x > 2 and x < 6 or 2 < x < 6.

Slope formula: [tex]\frac{y_{1}-y_{2}}{x_{1}-x_{2}}[/tex]

Given the two sets of coordinates (8,0) and (0,-2), plug them into the formula to find the slope. x1 is 8, x2 is 0, y1 is 0, y2 is -2.

[tex]\frac{0-(-2)}{8-0}[/tex]

[tex]\frac{0+2}{8-0}=\frac{2}{8}=\frac{1}{4}[/tex]

The slope is[tex]\frac{1}{4}[/tex].

I hope this helps :)

Answer:

$960

Step-by-step explanation:

If you're talking about #3. What you do is divide 1/5 so get .2 which is 20% then you multiply .2*1200 which is 240. That is what gets take off with the discount so subtract that from 1200 and get $960.

It would be 56 degrees since it's a vertical angle and to get the obtuse angles you just subtract 180 from 56 and there's your answer. Hope this helped! (':

i think the answer if 56 degrees

-75 divided by 3 equals -25

When you add 2 to -25 and subtract 2 from -25 they cancel out to be -25

so the answer is -23, -25, -27

The total amount of time would be 1 hour and 40 minutes or 1.66666 hours.

I hope this helps :)

Answer: Option C 31.68 km/h

Solution:

Speed=s=8.8 m/s

s=? kilometers per hour=? km/h

s=(8.8 m/ 1 s)*(1 km / 1,000 m)*(3,600 s / 1 h)

s=(8.8*1*3,600)/(1*1,000*1) km/h

s= 31,680/1,000 km/h

s=31.68 km/h

Answer:

C.=31.68 km/h

Step-by-step explanation:

Hello

I think  I can help you with this

Let

[tex]v=8.8 \frac{m}{s} \\v=x \frac{Km}{h}[/tex]

1 hour = 60 minutes = 3,600 seconds

Step 1

convert m ⇒  kilometers

using a rule of three

1 kilometer= 1,000 meters

x? kilometers=8.8 m

[tex]\frac{1 kilometer}{1000 m} =\frac{x\ kilometer}{8.8 m}[/tex]

isolating x

[tex]\\\frac{1 kilometer\ 8.8\ m}{1000 m} =x\ kilometer\\x=0.0088 Km[/tex]

Now the speed is

[tex]v=0.0088 \frac{Km}{s}[/tex]

Step 2

Convert sec ⇒ hours

1 hour =3600 sec

x hour=1 seg

[tex]\frac{1 hour}{3600\ sec} =\frac{x\ hour}{1 sec}\\\frac{1 hour\ 1\ sec}{3600\ sec} =x\ hour\\x=\frac{1}{3600} hours[/tex]

Step 3

find the speed in km/h

[tex](1)v=0.0088 \frac{km}{1s}\\(2)1s=\frac{1}{3600} hous\\[/tex]

replacing (2) in (1)

[tex]v=0.0088 \frac{km}{\frac{1}{3600} hour}\\v=0.0088*\frac{3600\ km }{hour} \\v=31.68 \frac{km}{h}[/tex]

V=31.68 km/h

Have a great day

Answer with explanation:

⇒When a design or geometrical shape is reflected over Axis, which is lying in two Dimensional plane,the two, Pre-image that is geometrical shape before reflection and geometrical shape called Image after reflection , they both are congruent to each other.The Line through  which the two,Image and Pre Image , are congruent in the plane, is called "Line of Reflection".

⇒When Reflection through a line takes place, corresponding Sides of two designs are congruent,means equal, and the Corresponding interior Angles of two designs are also Congruent.

Option C:⇒ Congruency

The way I would solve this problem is by first finding the unit rate, or the rate that the jet plane travels in one minute. Then I would multiply the rate by the number of minutes I want to know how far the jet plane flies; in this case it would be multiplied by 18 minutes.

Let's start by finding the unit rate. To find the unit rate we would divide the ratio, 450 miles:60 minutes (one hour) by 60 minutes to make the 60 minutes become one minute and 450 miles become 7.5 miles.

450 miles:60 minutes ÷ 60/60

7.5 miles:1 minute

The unit rate is 7.5 miles per minute. Since we know the jet plane flies 7.5 miles every one minute, we can multiply this amount by 18 minutes to find how many miles the place can fly in 18 minutes.

7.5 miles * 18 minutes = 135 miles

The answer to your question is the jet plane travels 135 miles in 18 minutes.

We are given that there is a plane which flies at 450 miles per hour. ("A jet plane flies at 450 miles per hour.)

We can also see that the question is how far it would travel in 18 minutes most likely assuming it to be going the same speed. ("How far does it travel in 18 minutes?")

First: How can we answer the question with the information given?

To answer this question, we can break it down into smaller questions. Here is one to start off with.

One of the most important things to note for this is one hour = 60 minutes. Therefore, we can see these two are related as you can convert either mph or minutes to miles per minute or hours (respectively).

Now I'm going to do just that by converting 18 minutes to an hour:

If you know one hour = 60 minutes, what would you do to make the right side 18 minutes? I would personally multiply both sides by 18/60, making the left side 3/10 (18/60 simplified is 3/10) of an hour, and the right 18 minutes (because 18/60 * 60 = 18)

Alright. So now we know that 18 minutes is equal to 3/10th of an hour. Since the units now match (450 miles per hour and 3/10th of an hour), we can relate them.

Mph is miles per hour, so how many miles traveled in an hour. In an hour. Does that sound familiar? We do have a number with the unit of an hour, 3/10th of an hour.

From that, we can get the question of, how far does a jet plane travel going at the rate of 450 mph for 3/10th of an hour?

Since we have defined what MPH is (how many miles traveled in an hour), we can therefore figure out how to calculate that question with math.

The correct method to calculate would be to multiply 3/10 and 450 together. Why?

Multiplication is essentially adding something a certain number of times. For example, multiplying 2 by 3 is adding 2 three times, to get 6.

Now, if you want to find 3/10th of 450, you would multiply it as that would result in 3/10th of 450, as you're adding 3/10th of 450. (as for lack of better phrasing.)

(Very vague explanation as to why, if it interests you you can think about it more personally.)

3/10 * 450 = 135 miles

Answer:

3/20

Step-by-step explanation:

First we need to find a common denominator, and since 4*5=20 then 20 is he common denominator.

convert the fractions to twentieths so

3/5*4/4

12/20

1/4*5/5

5/20

now add 12/20+5/20

17/20

that is how many students are doing sports

so subtract 20-17

you get 3/20 students play basketball since you can't simplify that

Here is the solution...

[tex]6i\sqrt{-44}[/tex]

Step 1:

We need rewrite the square root -44 as [tex]i\sqrt{44}[/tex].

The reason is [tex]\sqrt{-1} = i[/tex]

Step 2:

Now the expression became [tex]-6i.i\sqrt{44}[/tex]

[tex]-6i^{2}\sqrt{4*11}[/tex]

Step 3:

[tex]i^{2} = -1 and\sqrt{4*11} = 2\sqrt{11} \\[/tex]

Now substitute the above values in the step 2, we get

[tex]-6(-1)2\sqrt{11}[/tex]

Step 4:

We have to simplify it.

12[tex]\sqrt{11}[/tex]

Therefore, the answer is 1[tex]12\sqrt{11}[/tex]

Answer:

range ⇒ answer D

Step-by-step explanation:

* Lets explain how to solve the problem

- Outlier an extreme value in a set of data which is much higher or

 lower than the other numbers

- Outliers affect the mean value of the data but have little effect on the

 median or mode of a given set of data

* Lets solve the problem

∵ The data are 10 , 12 , 13 , 14 , 15 , 16 , 42

∵ The median is the middle number of the set of data

∵ The middle number is 14

∴ The median is 14

- If we remove the outlier then:

∴ The median will be the average of the two middle numbers 13 , 14

∴ The median = (13 + 14)/2 = 13.5

∵ The mean is the average, where you add all the numbers and then

  divide the sum by the number of numbers

∵ The sum = 10 + 12 + 13 + 14 + 15 + 16 + 42 = 122

∵ They are 7 numbers

∴ The mean = 122/7 = 17.43

- If we remove the outlier then:

∴ The sum = 122 - 42 = 80

∴ The mean = 80/7 = 11.43

∵ The range is the difference between the greatest and the

  smallest values of the data set

∵ The greatest value is 42 and the smallest value is 10

∴ The range = 42 - 10 = 32

- If we remove the outlier then:

∴ The range = 16 - 10 = 6

* The range is the most affected by the outlier