a point is randomly picked from inside the rectangle with vertices , , , and . what is the probability that ?

Answer:

The factory makes 12,000 (12k) hats each day

Step-by-step explanation:

4000

× 3

--------

12,000

The area of Sasha's backyard is 1064 yard square. So the number of bags required would be 20.

What is area?

The measurement that expresses the size of a region on a plane or curved surface is called area. It's S.I. unit is m².

Main Body:

The area of Sasha's backyard = 38*28

= 1064 yd square

Now 1 bag covers 55 yd square

so, bag required for 1064 yd = 1064/55

= 19.3 approximately

Therefore the amount  of required bags are 20.

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For given expression  (7^3) * (7^x) equivalent expressions are:

343 * 7^x and 7^(3+x)

The correct options are option (C) and option (D)

In this question, we have been given an expression (7^3) * (7^x)

We need to find expressions that are equivalent to given expression.

Consider given expression (7^3) * (7^x)

We know that 7^3 = 343

So given expression becomes, (7^3) * (7^x) = 343 * (7^x)

For given expression, the bases of the exponents are equal.

so, by the properties of exponents

(7^3) * (7^x) =  7^(3 + x)

Therefore, for given expression  (7^3) * (7^x) equivalent expressions are:

343 * 7^x and 7^(3+x)

The correct options are option (C) and option (D)

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Step-by-step explanation:

I don't see the options and how they are written, but I can tell you the right answer in numbers :

sin(F) = 3/5 = 0.6

cos(F) = 4/5 = 0.8

sin(G) = 4/5 = 0.8

cos(G) = 3/5 = 0.6

why ?

remember the norm circle (radius 1) with ask the trigonometric functions.

the sine of an angle is the vertical height from that point in the circle arc down to x-axis.

the cosine of an angle is the length on the x-axis from the center of the circle to the point, where the sine touches the x-axis.

in any case, sine and cosine enclose the right angle (90°).

each function is now defined for the norm circle with radius = 1.

for angles in larger circles we need to divide the find lengths by the actual radius (we formality do this in the norm circle too, but a division by 1 does not change anything).

for the angles at F and G the radius is the side with the length 5.

Answer:

y = -1.5

Step-by-step explanation:

use the method y2 - y1 / x2 - x1

Answer: Positive

Step-by-step explanation: It would be positive because the question is asking how much money they lost. The lost a positive amount of money.

Answer:

  0.591

Step-by-step explanation:

You want the probability that a height falls between 50.5 and 53.7 when the distribution of heights is normal with mean 53.4 and standard deviation 1.2. All measurements are in inches.

The area under the normal distribution curve with mean 53.4 and standard deviation 1.2 can be found using a suitable calculator. The one in the attachment shows the area between 50.5 and 53.7 is about 0.591

P(50.5 < X < 53.7) ≈ 0.591

__

Additional comment

Any spreadsheet and most graphing calculators have the necessary probability functions. Many special-purpose apps also can answer this question. A calculator answer is shown in the second attachment.

Equation of the given data y = 1750x -20,000 and graph of the equation is attached.

As given in the question,

Data of the table :

Year :               1                 2                   3              4                5

Investment : $20,000      $21,750      $23,500    $25,250      $27,000

(x₁, y₁) = ( 1, 20,000)

(x₂, y₂) = ( 2, 21,750)

Equation of the given graph is :

( y - 20,000)/ (x -1) = (21,750 - 20,000)/ (2 -1)

⇒ ( y - 20,000)/ (x -1) = 1750

⇒ y = 1,750x -18,250

Graph of the equation  y = 1,750x -18,250 s represented by the graph.

Graph is attached.

Therefore, equation of the given data y = 1750x -20,000 and graph of the equation is attached.

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Answer:

4:1

Step-by-step explanation:

12÷3=4

3÷3=1

white to blue

12 : 1

Answer: Campbell to Hillsboro to Richmond to Winchester

(Note: Not taking the Washington route)

Step-by-step explanation:

Form Campbell all the way to Richmond have no other choices, From Richmond to Winchester has two choices, 12.2 mi +5.2 mi or 15.7 mi

12.2+5.2=17.4 mi while the other choice is only 15.7 mi

So taking the 15.7 mi option is faster

The scale on the map is of 1 mile: 0.477 inches.

From the question, we have

65 miles - 31 inches

1 mile - x inches

Applying cross multiplication:

65x = 31

x = 31/65

x=0.477

The ratio of inches on a map to feet, miles, or another unit of measurement on the ground is known as the scale.

Scale (map):

The ratio between a distance on a map and its actual distance on the ground is known as the map's scale. Since scale must vary across a map due to the curvature of the Earth's surface, this straightforward idea is made more difficult. This change makes the idea of scale significant in two different ways.

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The Kilometer that Alan was left to walk is given as c six and twenty five thirty thirds kilometers

In order to solve for the solution, we would have to write out the expressions in mathematical forms first

eight and two thirds kilometers = [tex]8\frac{2}{3}[/tex]

This is is the time that Alan is said to travel for him to get to school

The expression one and ten elevenths is written mathematically as [tex]1\frac{10}{11}[/tex]

This is the kilometer that he spent running.

We are to find the time that was used to walk to school.

To get this we have to subtract the kilometer that he ran from the total kilometer that he traveled.

[tex]8\frac{2}{3} - 1\frac{10}{11}[/tex]

we have to express as a mixed fraction then we would subtract

26/3 - 21/11

= 286 - 63 / 33

= 223/33

= 6.75

= 6 25/33

Hence the solution is C.

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The number of grams of salt in the tank at time t is given by the differential equation [tex]A(t)=200-170e^{-\frac{1}{50}t}[/tex].

The rate is basically a measurement of something's number, amount, or degree in relation to another item. Its the ratio of some quantity to some other quantity.

An equation with a function and one or more of its derivatives is referred to as a differential equation:

At the start, the tank contains A(0) = 30 g of salt.

Salt flows in at a rate of

(1 g/L) * (4 L/min) = 4 g/min

and flows out at a rate of

(A(t)/200 g/L) * (6 L/min) = 3A(t)/100 g/min

so that the amount of salt in the tank at time t changes according to

A'(t) = 4 - A(t)/50

So,

[tex]A'(t) = 4 - \frac{A(t)}{50}[/tex]

The solution of linear differential equation y' + ay = g(x) is in the form,

[tex]e^{ax}y=\int {e^{ax}g(x)} \, dx +c[/tex]

Now, putting the values,

[tex]a=\frac{1}{50} \\g(x)=4[/tex]

[tex]e^{\frac{1}{50}t}A(t)=\int {e^{\frac{1}{50}t}4} \, dt +c\\=4\int {e^{\frac{1}{50}t}} \, dt +c\\=4\times50e^{\frac{1}{50}t}+c\\=200e^{\frac{1}{50}t}+c\\[/tex]

Now,

[tex]A(t)=200+Ce^{-\frac{1}{50}t}\\[/tex]

Putting the initial value,

[tex]30=200+Ce^{-\frac{1}{50}(0)}\\\\200+C=30\\C=-170[/tex]

So, the function will be [tex]A(t)=200-170e^{-\frac{1}{50}t}[/tex].

Therefore, the number of grams of salt in tank at time t is given by differential equation [tex]A(t)=200-170e^{-\frac{1}{50}t}[/tex].

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Answer: 110°

Step-by-step explanation:

Looks like a bit more than 100°.

Step-by-step explanation:

so, we have

6x² + 8xy + 8y²

and

5x² + 3xy + 16y²

we can combine only terms of the same kind (defined by the type and exponent of the used variables).

this is like adding fruit.

e.g. when we have a mixture of 3 apples, 4 oranges and 5 plums, and we add a mixture of 6 apples, 2 oranges and 3 plums - what do we get ?

we get a new mixture of

3+6 = 9 apples

4+2 = 6 oranges

5+3 = 8 plums

and exactly the same thing happens with mixing terms when adding them up.

so, we get

6+5 = 11x²

8+3 = 11xy

8+16 = 24y²

so, the result is

11x² + 11xy + 24y²

it is really that simple.

Answer:

no

Step-by-step explanation:

because the equation is supposed to be y=mx+b and the x comes after slope which is after m

Answer: Yes

Step-by-step explanation:

Linear functions are functions whose graph is a straight line. The function has to be in the form y=a+bx in order to be linear. Second, for any given change in x, the change in y will always be the same value.

The largest area that may be surrounded by fencing is 61776.13 m².

A building's side will have a rectangular storage room built into it. The remaining three corners of the space need security fencing.

The maximum area is enclosed within 703ft of fencing.

Let x = width

     L = length

The perimeter with 3 sides;

L + 2x = 703

L = (703 - 2x)

Let, Area = x * L

Now, replace L with (703 - 2x);

A = x * (703 - 2x)

A = 703x - 2x²

To get the max area by finding the axis of symmetry;

x = -b/2a

In this equation a = -2; b = 703

x = -703 / (2*-2)

x = 175.75m, ( width for the max area )

To get the max area, x=175.75;

A = -2(175.75²) + 703(175.75)

A = -61776.12 + 123552.25

A = 61776.13 m² is a max area

Hence, The maximum area that can be enclosed with 703ft of fencing is 61776.13 m².

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Step-by-step explanation:

the triangle above is an isosceles triangle,

two sides and angles are equal

AC=AD

triangle ACB=triangle ABD(because it is an isosceles triangle )

Answer:

a) 2.0 x 10^5

b) 8.0 x 10^4

c) 9 x 10^9

d) 1 x 10^10

Answer:

3.46

Step-by-step explanation:

[tex]\sqrt{21-9}[/tex]

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

3.46

Hopes this helps please mark brainliest

7 i do not feel like explaining tbh

The largest sample size required is 2886.4.

Here we have to calculate how large of a sample size is required.

The formula:

(Z ∝I2/ E)² × P( 1- P)

The given data:

Margin error (E) = 1.5%

=0.015

As it is given that 90% confident that your estimate is within 1.5% of the true population proportion, therefore we have:

The level of significance(∝) = 1 - 0.90

= 0.10

The z value for the 90% confidence is 1.645

Therefore the largest of a sample size is required = ( 1.645/ 0.015)²× ( 0.4)(1- 0.4)

= 2886.4

The largest a sample size required is 2886.4

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The value of the car when she first purchased is $25001.73

Given,

current value of car =$18701.30

rate of depreciation annually=7%

time period =4 years

let the value of car when she first purchased be'x'

To find the value of car when she first purchased when it depreciated exponentially at constant rate ,use formula,

[tex]a(1-\frac{r}{100})^t=b[/tex]

Where,

a=value of car when she purchased

r=rate of depreciation annually

t=time period

b=current value of car

[tex]x(1-\frac{7}{100})^4=18701.30\\\\x(1-0.07)^4=18701.30\\\\x(0.93)^4=18701.30\\\\x(0.748)=18701.30\\\\x=\frac{18701.30}{0.748}\\\\x=25001.73[/tex]

Thus, the value of the car when she first purchased is $25001.73

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Answer:

-2 ; -1 ; 0 ; 1

Step-by-step explanation:

the inequality is satisfied in this interval [-2.5,1].

We are searching the integers: -2 ; -1 ; 0 ; 1

All the values of x that satisfy the inequality will be;

⇒ x = - 2, - 1, 0, 1

What is Inequality?

A relation by which we can compare two or more mathematical expression is called an inequality.

Given that;

The inequality is given.

Now,

The solution of the inequality are given as;

⇒ x ∈ [- 2.5, 1]

But we can find the integers which satisfy the inequality.

Hence, All the values of x that satisfy the inequality will be;

⇒ x = - 2, - 1, 0, 1

Thus, All the values of x that satisfy the inequality will be;

⇒ x = - 2, - 1, 0, 1

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The constant of proportionality is known to be the ratio of two proportional values that is said to be in a constant value.

The constant of proportionality is a term that is defined as the rate or the ratio of two proportional values which are known to be at the same value.

constant of proportionality = 2.5

Given  :  y = 2.5x.

To find : What is constant of Proportionality in the equation.

Solution : We have given

y = 2.5x.

On comparing with equation of proportionality : y = kx,

Where,   k is the constant of proportionality.

On comparing y = 2.5 x  by y = kx .

We get  k = 2.5

So, constant of proportionality = 2.5

Therefore, constant of proportionality = 2.5

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The value of constant proportionality is 2.5. The constant of proportionality is known to be the ratio of two proportional values that is said to be in a constant value.

The constant of proportionality is a term that is defined as the rate or the ratio of two proportional values which are known to be at the same value.

constant of proportionality = 2.5

Given  :  y = 2.5x.

To find : What is constant of Proportionality in the equation.

Solution : We have given

y = 2.5x.

On comparing with equation of proportionality : y = kx,

Where,   k is the constant of proportionality.

On comparing y = 2.5 x  by y = kx .

We get  k = 2.5

So, constant of proportionality = 2.5

Therefore, constant of proportionality = 2.5

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Price of one pair of socks are $5.00

The total of 5 sisters each bought scarves and 2 pairs of socks.

Socks price variable defined as x.

Total scarves bought by the sisters are:

5 × 1 = 5

Total socks bought by the sisters are:

5 × 2 = 10

Equation for total bill:

$125.00 = 5 × $15.00 + 10 × x

$125.00 = $75.00 + 10x

10x = $125.00 - $75.00

10x = $50.00

x = $50.00/10

x = $5.00

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Sarah can run = 100 metres.

acc to our question=

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The students and courses have one to many relationship.

A one to many relationship is such kind of relation which exist when a particular function is linked to many other functions. It means that many elements of the set A is related to a single element of the set B.

In this case, the course is only one but the students studying the course are more in number. The same course is studied by many student but in different manner but the course is same. This is why we conclude that the relationship between the students and the course is one to many.

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