the value of 5/32 ÷ 25/4​

The equation of parabola for the given statement is: [tex]x^{2} = -60y[/tex]

The locus of points where point moves under a restriction that its distance from a fixed point Focus(F) and fixed line Directrix always remain constant

Solution: here focus of parabola is on -ve y axis so we will take general equation of parabola whose focus is on -ve y axis and directrix will be above x axisi.e[tex]x^{2} =-4ay[/tex]

here a is the distance between vertex and focus and here vertex is origin so by distance formula it comes out to be a = 15

put back in above equation we get its equation[tex]x^{2} = -60y[/tex]which is our required equation of parabola.

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Answer:

first graph

Step-by-step explanation:

x > n

the graph will have an open circle at the value n , indicating that x cannot equal n ( note solid circle if x ≥ n )

the arrow from n will point in the right direction, indicating values of x greater than n.

the graph representing x > n is the first graph

Answer:

5 4/9

Step-by-step explanation:

our equation is 4 2/3+7/9

2/3=6/9.

So we have 4 6/9+7/9

Simplify:

4 13/9

5 4/9

Answer:3ta+5a

Step-by-step explanation:

just times it, its that easy

Number of sides = 13, sum of Interior angles = 1980°, the measure of one Interior angle = 152.30°, sum of exterior angles = 360°, and the measure of one exterior angle = 27.69°.

A polygon is given in the figure

According to the given question, the required solution would be as:

Number of sides = 13

Interior angles of a polygon = (sides - 2) × 180°

In this case, the number of sides is 13

Sum of Interior angles = (13 - 2) × 180

Sum of Interior angles = (11) × 180

Sum of Interior angles = 1980°

the measure of one Interior angle = 1980°/13

the measure of one Interior angle = 152.30°

The sum of exterior angles is always 360° in the regular polygon.

Sum of exterior angles = 360°

the measure of one exterior angle = 360°/13

the measure of one exterior angle = 27.69°

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Answer: 36

Step-by-step explanation:

4 sections are 2,000 lbs or 1 ton

To find the pounds Girard has to build, we know we have 9 tons, therefore if each ton is 2,000 lbs, multiply 2,000 by 9 to get 18,000 lbs to use

2,000 lbs per ton x 9 tons= 18,000 lbs to use

now take the 18,000lbs and divide by 500 to find the number of sections we can build

18,000lbs / 500 pounds per section = 36

36 sections is the answer

First picture answer:

⇒Sum of interior angles of a triangle is equal to 180°

⇒This means that ∠D+∠E+∠F=180°

⇒∠D is (5x-2)°,∠E is (9x+3)°,∠F is (11x-21)°

⇒Plug in the values of the angles in the general equation above.

[tex](5x-2)+(9x+3)+(11x-21)=180\\[/tex]

⇒Group the like terms together and simplify.

[tex]5x+9x+11x-2+3-21=180\\25x-20=180\\25x=180+20\\25x=200\\\frac{25x}{25} =\frac{200}{25} \\x=8[/tex]

⇒x=8°

________________________________________________________

Second picture answer:

⇒If a side of a triangle is produced, then the exterior angle so formed is equal to the sum of the two interior opposite angles.

⇒ ∠C is the exterior angle.

⇒ ∠A and ∠B are the interior angles.

The above statement simply means

∠C=∠A+∠B

⇒ Given that ∠A is (13x-11)°

∠B is(4x+1)°

∠C is (18x-15)°

⇒Plug in the values of the angles and solve for x.

[tex](18x-15)=(13x-11)+(4x+1)\\[/tex]

⇒Group the like terms and solve.

[tex]18x-13x-4x=-11+1+15\\x=5[/tex]

⇒ x=5°

The required percentage change in the number of teen births between 2000 and 2015 is 52.5%.

Given that,
In 2000, there were 47,000 teen births in the United States. In 2015, there were 22,300 teenage births. The percent change in the number of teen births between 2000 and 2015 is to be determined.

The percentage is the ratio of the composition of matter to the overall composition of matter multiplied by 100.

Here,
Number of teens in the year 2000 = 47,000
Number of teens in the year 2015 = 22300
Percentage change = 47000-22300/47000 × 100 = 52.5%

Thus, the required percentage change in the number of teen births between 2000 and 2015 is 52.5%.

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Answer: B. The Total profit made when a person buys a car for $10,000 and sells it for $10,000.

Step-by-step explanation:

Answer A would be wrong since when there is a temperature change from 15 degrees to -15 degrees would lead to an overall change of 30 degrees.

Answer C would be wrong as well since it is decreasing 500 feet in altitude, meaning that there is a negative change in altitude.

Answer D would also be wrong since the train is traveling 35 miles north, then south. That means that even though the train is in the same place that is was before, it traveled a total of 70 miles to return to where it was previously at.

Hope this helps!

Answer:

Step-by-step explanation:

[tex]l=w+4[/tex]

[tex]A=l*w\\l=w+4\\A=(w+4)w\\A=w^2+4w[/tex]

[tex]P=2l+2w\\A=4p-4\\A=4(2l+2w)-4\\A=8l+8w-4\\l=w+4\\A=8(w+4)+8w-4\\A=8w+32+8w-4\\A=16w+28[/tex]

[tex]16w+28=A=w^2+4w\\16w+28=w^2+4w\\w^2-12w-28=0\\w^2-14w+2w-28=0\\(w^2-14w)+(2w-28)=0\\w(w-14)+2(w-14)=0\\w+2=0=w-14\\w=-2and14[/tex]

Since w represents a measurement of a physical object in inches, it cannot be negative.  So, [tex]w\neq-2[/tex].  The width of the rectangle is 14 inches.

The length is given as 4 inches more than the width, so the length is 18 inches.

This satisfies all the requirements of the question:

[tex]4P-4=A\\P=2(18)+2(14)=64in\\4P=64in(4)=256in\\A=18in*14in=252in^2\\256-4=252\\252=252[/tex]

Part (a)

4, read it off the diagram.

Part (b)

(4 in)(1 ft/12 in) = 1/3 ft

Part (c)

(60 ft)(20 ft)(1/3 ft)=400 cu ft

Part (d)

(66 ft)(26 ft)(1/3 ft)=572 cu ft

Part (e)

572 cu ft - 400 cu ft = 172 cu ft

If Ibuprofen is given for fever to children 6 months of age up to 2 years.The amount of  much medicine that would be usual dose for a 18 month old weighing 22 pounds is 50kg.

1 pound = 0.45 kg    

Hence,

22 pounds = 22×0.45 Kg

22 pounds = 9.9Kg

Now let find the the amount of medicine that would be the usual dose  

Medicine dose = 5mg × 9.9kg

Medicine dose =49.5 kg

Medicine dose = 50 kg

Therefore the medicine dose is 50kg.

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From the given parameters of linear equation, we can say that;

The number of $10 bills is; 24

The number of $20 bills is; 13

Let x be the number of the $20 dollars bills.

Then the number of the $10 dollars bills is (x + 11), according to the condition.

The money equation is expressed as;

20x + 10*(x + 11) = 500

Simplify and solve for x.  

20x + 10x + 110 = 500

30x = 500 - 110

30x = 390

x = 390/30

x = 13

Then number of $10 bills is 13 + 11 = 24

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The ratio of the area of the two squares is 9:16.

A square has four corners and is a closed, two-dimensional (2D) object. A square has equal and parallel sides on all four sides.

A square is a closed object with four sides that are all the same length, and its interior angles are all 90 degrees. A square can have many different characteristics. The following list includes some of a square's key characteristics.

If it is square:

The ratios of the sides of two squares = 3:4

Let the common multiple of the above ratio be x.

So, side of one square = 3x

and side of the other square = 4x

Area of square = (side)²

Area of square with side 3x = (3x)² = 9x²

Area of square with side 4x = (4x)²= 16x²

Ratio of the areas of the two squares = Area of square with side 3x/Area of square with side 4x = 9x²/16x² = 9/16 = 9:16

Therefore, the ratio of the area of the two squares is 9:16.

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Step-by-step explanation:

Answer is D.

Breaking it down;

1/3 + 2/6 = 4/6.

4/6 - 5/6 = -1/6

-1/6 × 3/11 = -3/66

Answer:

[tex]\huge\boxed{\sf x = 3}[/tex]

Step-by-step explanation:

f(x) = 3x - 5

Given that, f(x) = 4

Put it in the above equation.

4 = 3x - 5

Add 5 to both sides

4 + 5 = 3x

9 = 3x

Divide 3 to both sides

3 = x

x = 3

[tex]\rule[225]{225}{2}[/tex]

Of the four relationships the ones that have the constant of proportionality of 2 are

The constant of proportionality is the constant that relates the input with output terms

Relationship A

the output, y dies it equal 2 * input

an instance = 2 * 3 = 6 not 2 2/3

Relationship B

y = 2x has the constant written out already

Relationship C

Represents a linear function

Relationship D

y = 6, x = 3

y = 2x

when x = 3 y = 6

when x = 6 y = 12

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The correct dividend of 76 is required to yeild a quotient of 25 and a remainder of 1 when divided by 3.

We can know the dividend, the quotient and the remainder of the division using the division formula: (Divisor x Quotient) + Remainder = Dividend

Divisor = 3

Quotient = 25

Remainder = 1

(3 × 25) + 1 = 75 + 1

(3 × 25) + 1 = 76

Thus, the dividend 76 divided by the divisor 3 have the quotient 25 and a remainder when of 1.

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-0.25 is the z-score of a person who scored 80 on the exam.

Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data

Given,

On a standardized exam, the scores are normally distributed

mean is 85 and a standard deviation is 20.

We need to find z-score of a person who scored 80 on the exam.

Z=x-μ/σ

x=80, μ=85 and σ=20

Z=80-85/20

Z=-5/20

Z=-1/4

Z=-0.25

Hence, -0.25 is the z-score of a person who scored 80 on the exam.

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Awnser : 240km

Step-by-step explanation:

Hence, in option (A) the down payment is what percent of the purchase price is [tex]25[/tex]% and in option (B) the purchase price would be [tex]90000[/tex] $ down payment is [tex]45[/tex] %.

What is the installation amount?

Installation Cost means the total cost payable by the Lessee to the Lessee’s direct contractor under the contract for the carpet installation works.

Payment of the Attendance Fees for the Designated Works may be made by the Lessee progressively in the course of the relevant Designated Works being carried out.

Here given that,

A family buys a studio apartment for $[tex]200,000[/tex]. They pay a down payment of $[tex]50,000[/tex].

(A)

The down payment is the percentage of purchase price is

[tex]\frac{50000}{200000}[/tex] × [tex]100[/tex] [tex]=[/tex] [tex]25[/tex] %

(B)

The percent of the purchase price would be [tex]90000[/tex] $ down payment is

[tex]\frac{90000}{200000}[/tex] ×[tex]100[/tex] [tex]=45[/tex] %

Hence, in option (A) the down payment is what percent of the purchase price is [tex]25[/tex]% and in option (B) the purchase price would be [tex]90000[/tex] $ down payment is [tex]45[/tex] %.

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The statement that least-squares solution of a x = b is the vector in the column space of a closest to b  is; true

One  method for computing a least-squares solution of Ax = b is;

Now, If b is in the column space of A then it tells us that there is at least one exact solution to the system Ax = b. In this case, it means that every solution to the system minimizes |Ax − b| (makes it zero) and as such  is a least squares solution.

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Answer:

1200 dollars

Step-by-step explanation:

1.) Create an equation. If we use x as a variable for the total money, we get [tex]\frac{504}{x}=\frac{42}{100}[/tex] .

2.) By solving this equation, we get 42x = 50400, and x = 1200.

Therefore, their total budget was 1200 dollars.

y=12/πsin⁻¹(x-35/0.6) is the function which expresses y, the number of seconds since the bird left the branch, as a function of x, the height of the bird in meters

Two or more expressions with an Equal sign is called as Equation.

Given,

A bird sits on the branch of a tree, then starts to fly.

The height of the bird is described by the function y = 0.6sin(πx/12) + 35

Where y represents the height of the bird measured in meters,

x represents the number of seconds since the bird left the branch

We need to find the function expresses y, the number of seconds since the bird left the branch, as a function of x, the height of the bird in meters

y=12/πsin⁻¹(x-35/0.6)

Hence, y=12/πsin⁻¹(x-35/0.6) is the function which expresses y, the number of seconds since the bird left the branch, as a function of x, the height of the bird in meters

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Answer:

Answer is A

Step-by-step explanation:

got it right on assignment.

Answer: 500

Step-by-step explanation:

$2000

$45,000 divided by 90 = 500

It will take her 500 weeks to pay $45,000'

Hope this helps

The answer for  8.9395 +1.2973 is 10.2368 for .2.8862 +8.2758=11.162, and for 5.9529 +2.0043 = 7.9572.

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.

1. 8.9395 +1.2973=10.2368

2.2.8862 +8.2758=11.162

3. 5.9529 +2.0043 = 7.9572

4. 1.223+0.4643=1.6873

5. 3.2292 +9.45 =12.6792

6. 2.421 +6.0473=8.4683

7. 5.2697 + 4.4603=9.73

8. 0.0003 +2.6035 =2.6038

9. 3.7092 +9.2965=13.0057

10. 7.0551 +0.8388=7.8939

Thus, the answer for  8.9395 +1.2973 is 10.2368 for .2.8862 +8.2758=11.162, and for 5.9529 +2.0043 = 7.9572.

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Answer:

1. mileage of the bike = 40Km

2. petrol needed to cover 320Km = 8L

Check the picture below.

well, we can simply divide 210 by (3 + 4) and then distribute accordingly

[tex]\stackrel{James}{3}~~ : ~~\stackrel{John}{4} ~~ \implies ~~ \stackrel{James}{3 ~~ \cdot \frac{210}{3+4}}~~ : ~~\stackrel{John}{4~~ \cdot \frac{210}{3+4}} ~~ \implies ~~ \stackrel{James}{3 \cdot \frac{210}{7}}~~ : ~~\stackrel{John}{4 \cdot \frac{210}{7}} \\\\\\ \stackrel{James}{3(30)}~~ : ~~\stackrel{John}{4(30)} ~~ \implies ~~ \stackrel{James}{90}~~ : ~~\stackrel{John}{120}[/tex]

Answer:

James- 90 and John- 120

Step-by-step explanation:

Since you want to divide 210 with a ratio of 3:4. It's easiest to first add your 3 and 4. This =7. Now you know you have to divide 210 by 7 before you give them to James and John. 210 divided by 7 = 30. Now do 30 times each ratio.

James has 30 x 3 and John has 30 x 4

this leaves you with 90 and 120