what is the slope of a line perpendicular to this line 3x+2y=19

An equation for the number of trinkets in the warehouse after x days:

8,000 + 3,000x = 50,000

How many days will it take to fill the warehouse?

8,000 + 3,000x = 50,000

3,000x = 42,000

x = 14

Answer:

Per day production = 3000

The capacity of the warehouse = 50000

Current count of trinkets = 8000

Part 1:

Assuming that no trinkets are going to be shipped out,

The equation for the number of trinkets T in the warehouse after D days:

[tex]T=8000+3000D[/tex]

Part B:

We will put T=50000 in above equation.

[tex]50000=8000+3000D[/tex]

=> [tex]3000D=50000-8000[/tex]

=> [tex]3000D=42000[/tex]

D = 14

Hence, it will take 14 days to fill the warehouse.

For this case we have that Newton's second law is given by:

[tex]F = m * a[/tex]

Where:

m: It's the mass

a: Acceleration

F: It's the force

According to the data we have:

[tex]2,000 = 40,000 * a[/tex]

Dividing between 40,000 on both sides of the equation:

[tex]a = \frac {2,000} {40,000}\\a = 0.05[/tex]

Thus, the acceleration is [tex]0.05 \frac {m} {s ^ 2}[/tex]

Answer:

[tex]0.05 \frac {m} {s ^ 2}[/tex]

Answer: Multiply 100 to both the numerator and denominator.

The problem is simplifying a sequence of numeric addition. It involves finding the average of a range of sequential odd and even numbers and dividing the two averages. This simplifies to 100/101.

The problem presented is to simplify the sequential addition of odd numbers from 1 to 199, divided by the sequential addition of even numbers from 2 to 200. This is also known as calculating the average or mean of a set of sequential numbers, a concept in statistics.

To solve this, we need to understand that the average of a set of sequential numbers can be found by taking the sum of the first number and the last number, dividing it by two. Therefore, the sum of odd numbers from 1 to 199 can be simplified as (1+199)/2, and the sum of even numbers from 2 to 200 can be simplified as (2+200)/2.

Simplifying these gives us 100 for odd numbers and 101 for even numbers. Therefore, the simplification of the presented sequence is 100/101.

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Answer:

Choice C is correct

Step-by-step explanation:

The first step is to re-write the equations in exponential form.

The first equation can be written as;

[tex]\frac{M}{N}=10^{4}[/tex] since the base is 10 and 4 the exponent.

The second equation can be written as;

[tex]\frac{P}{N}=10^{5}[/tex]

The second step is to make N the subject of the formula in both equations.

Solving for N from this equation [tex]\frac{M}{N}=10^{4}[/tex], yields;

[tex]N=\frac{M}{10^{4}}[/tex]

Solving for N from the second equation [tex]\frac{P}{N}=10^{5}[/tex], yields;

[tex]N=\frac{P}{10^{5}}[/tex]

Therefore;

[tex]\frac{M}{10^{4}}=\frac{P}{10^{5} }\\\\P=10M[/tex]

Answer:

-15625 i think

For this case we must find the value of the following expression:[tex]-5 ^ 6 = -1 * 5 ^ 6[/tex]

This means that we must multiply the 5 six times, and then multiply by -1, that is:

[tex]5 ^ 6 = 5 * 5 * 5 * 5 * 5 * 5 = 15,625[/tex]

Then multiply by -1:

[tex]-15,625[/tex]

Answer:

[tex]-5 ^ 6 = -15,625[/tex]

Answer:

[tex]y=\frac{1}{52}x^2[/tex]

Step-by-step explanation:

The focus of the parabola is (0,13)

and the directrix is y=-13.

The equation of this parabola is given by:

[tex]x^2=4py[/tex]

The vertex of this parabola is at the origin.

The value of p is the distance from the vertex to the focus.

p=13-0=13

The equation of the parabola is

[tex]x^2=4(13)y[/tex]

[tex]x^2=52y[/tex]

Or

[tex]y=\frac{1}{52}x^2[/tex]

$ 0.77 or 77 cents

because 77 out 100 is written in decimal form as .77

Hello there!

Answer:

Your answer would be $0.77

Step-by-step explanation:

The reason why $0.77 would be the correct answer is because that represents something that is lower than a dollar, more so you would know it as "cents."

When you look at the question, it says, "77/100 of a dollar." What that means is that there is 77 of a dollar, and a dollar is equivalent to one whole.

The denominator "100" represents a whole, so that means that there is 77 out of a whole.

When you know currencies, cents are lower than a whole, therefore would be represented as a decimal.

77/100 is equivalent to 0.77.

As a money amount, it would be $0.77.

$0.77 should be the CORRECT answer.

i’m pretty sure the answer is 40

Answer:

The answer is 40.

Step-by-step explanation:

Because the multiples of 8: 8, 16, 24, 32, 40, 48...etc

and 10: 10, 20, 30, 40, 50....etc and both of them have 40 so that's your LCM.

Hope i helped you! :)

Binomial

A monomial is just one term. A binomial is two monomials added or subtracted together. A trinomial is three monomials added or subtracted together.

Answer:

It is a binomial because it has two terms

Answer:

Circle and Center

Step-by-step explanation:

In geometry, the set of points equidistant from a given point in a plane is called a circle. The given point from which all points on the circle are equidistant is known as the center.

The definition you're looking for pertains to the geometric concept of a circle. The set of all points in a plane that are equidistant from a particular point is called a circle. Meanwhile, the given point that is equidistant from all other points of the circle is called the center of the circle. So, in a two-dimensional plane, this center point and the constant distance (also known as the radius) from it to any point on the circle define a circle.

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7+3= 10

8/4=2

VEry easy okay

Answer: 13

Step-by-step explanation:

Given the expression [tex]7+3(8[/tex]÷[tex]4)[/tex], you can rewrite it as:

[tex]=7+3(\frac{8}{4})[/tex]

First, you need to solve the operation that is inside the parentheses. Then, you must divide 8 by 4:

 [tex]=7+3(2)[/tex]

Now you need to eliminate the parentheses. To do this, you must multipy 3 by 2, then:

 [tex]=7+6[/tex]

And finally, you must make the addition. Therefore, you get:

[tex]=13[/tex]

Answer:  3,-16  x=-1,7

Step-by-step explanation:

Answer: Surface area is equal to 200[tex]cm^{2}[/tex]

Volume is equal to 333.33[tex]cm^{3}[/tex]

Step-by-step explanation:

First, let's do surface area.

The surface area of a pyramid is equal to 1/2(perimeter of base)(lateral height) + area of the base

The perimeter of the base is 10(4) = 40; as the base is a square with a side length of 10.

The lateral height is given as 5 cm.

The area of the base is 10(10) = 100.

We can plug those numbers into the equation to get 1/2(40)(5) + 100, which comes out to be 200[tex]cm^{2}[/tex].

Now for volume.

The volume of a pyramid is equal to 1/3(area of the base)(height).

We already have the area of the base, which is 100.

The height is given as 10 cm.

Plugging those numbers into the equation, we get 1/3(100)(10), which is 1000/3 or about 333.33[tex]cm^{3}[/tex].

Hope this helps!

For this case we must find the solutions of the following quadratic equation:

[tex]x ^ 2-5x-1 = 0[/tex]

We solve by means of

[tex]x = \frac {-b \pm \sqrt {b ^ 2-4 (a) (c)}} {2a}[/tex]

Where:

[tex]a = 1\\b = -5\\c = -1[/tex]

Substituting:

[tex]x = \frac {- (- 5) \pm \sqrt {(- 5) ^ 2-4 (1) (- 1)}} {2 (1)}\\x = \frac {5 \pm \sqrt {25 + 4}} {2}\\x = \frac {5\pm \sqrt {29}} {2}[/tex]

Finally, the roots are:

[tex]x_ {1} = \frac {5+ \sqrt {29}} {2}\\x_ {2} = \frac {5- \sqrt {29}} {2}[/tex]

Answer:

[tex]x_ {1} = \frac {5+ \sqrt {29}} {2}\\x_ {2} = \frac {5- \sqrt {29}} {2}[/tex]

Answer:

Fraction                         Colon                     To

[tex]\frac{11}{5}[/tex]       11 : 5                     11 to 5

Answer with explanation:

We have to write the comparison below as in fractions , in colon and in words to 11 ounces to 5 ounces.

In Fractions

[tex]\frac{11}{5}[/tex]

In Colon

11 :5

In Words

→1 Ounce=29 grams (Approx)

The ratio of Ash gourd bought by me and my mother was 11 ounce to 5 ounce.

Answer:

y = 2/5x.

Step-by-step explanation:

This is the correct answer to this question.

Hope this helps!!!

Kyle.

Y=2/5x is the answer to this graph as the equation

Answer:

Angle B: 135 degrees

Angle A: 60 degrees

Angle C:  75 degrees

Step-by-step explanation:

Angle B is 135 degrees

We have the complement of angle B, which is the lowest left corner of the triangle and it says 45 degrees.

So, B = 180 - 45 = 135 degrees

Angle A.

The lines crossing form 2 pair of identical angles from their tip... The exterior angle is 60 degrees, so the interior angle A is also 60 degrees.

Angle C.

Just like for angle B, we get angle C by subtracting its complement:

C = 180 - 105 = 75 degrees.

We can also validate by calculating the sum of the interior angles of the triangle: 45 + 60 + 75 = 180, which is perfect.

Answer:

327

Step-by-step explanation:

You will plug in the -3 for x. 6 times -3 equals -18. -18 squared equals 324. 324 minus -3 equals 327.

Answer: [tex]f(-3)=57[/tex]

Step-by-step explanation:

Given the following function:

[tex]f(x)=6x^2-x[/tex]

To find [tex]f(-3)[/tex] you need to substitute the x value [tex]x=-3[/tex] into the function [tex]f(x)[/tex] given.

Therefore, when the input value (value of the variable "x") is -3, then the ouput value is:

[tex]x=-3\\\\f(-3)=6(-3)^2-(-3)[/tex]

Remember the multplication of signs:

[tex](+)(+)=+\\(-)(-)=+\\(-)(+)=-[/tex]

Then:

[tex]f(-3)=57[/tex]

Answer:

Step-by-step explanation:

Keep in mind that this is a polynomial and all odd-powered polynomials start low (read that as "in Quadrant III") and end high ("Quadrant I").  So yes, the fourth answer choice, D, is the correct one.

(D) The graph of the function starts with low and high ends.

Remember that this is a polynomial and that all odd-powered polynomials have a low starting point (read it as "in Quadrant III") and a high ending point ("Quadrant I").

Therefore, the correct answer is (D) the graph of the function starts with low and high ends.

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Answer: -12

x/4=-3

(x/4)(4)=-3(4)

x=-12

Final answer:

To cover the wooden cylinder with carpet, Sandy needs to find the surface area of the cylinder and then cut out a piece of carpet that matches that area.

Explanation:

To cover the wooden cylinder with carpet, Sandy needs to find the surface area of the cylinder and then cut out a piece of carpet that matches that area. The surface area of a cylinder can be found using the formula: SA = 2πr(r+h), where r is the radius of the base and h is the height of the cylinder. In this case, the diameter of the cylinder is 1 ft, so the radius is 1/2 ft. The height of the cylinder is 4 ft. Plugging these values into the formula, we get: SA = 2π(1/2)(1/2 + 4) = 2π(1/2)(9/2) = 9π square ft.

Answer:   5/y

Step-by-step explanation:

Answer:

Part 1) [tex]y+8=3(x+2)^{2}[/tex] -----> [tex]y=-8.08[/tex]

Part 2) [tex]y-14=-(x-3)^{2}[/tex] ---->  [tex]y=14.25[/tex]

Part 3) [tex]y+7.5=2(x+2.5)^{2}[/tex] ---->  [tex]y=-7.625[/tex]

Part 4) [tex]y-17=-(x-3)^{2}[/tex] -----> [tex]y=17.25[/tex]

Part 5) [tex]y+7=(x-4)^{2}[/tex] ----> [tex]y=-7.25[/tex]

Part 6) [tex]y-6=-(x-1)^{2}[/tex] ---->  [tex]y=6.25[/tex]

Step-by-step explanation:

we know that

The equation of a vertical parabola in vertex form is equal to

[tex]y-k=\frac{1}{4p}(x-h)^{2}[/tex]

where

(h,k) is the vertex

The directrix is

[tex]y=k-p[/tex]

case 1) we have

[tex]y+8=3(x+2)^{2}[/tex]

the vertex is the point (-2,-8)  

[tex]\frac{1}{4p}=3[/tex]

[tex]p=\frac{1}{12}[/tex]

The directrix is equal to

[tex]y=-8-\frac{1}{12}=-8.08[/tex]

case 2) we have

[tex]y-14=-(x-3)^{2}[/tex]

the vertex is the point (3,14)  

[tex]\frac{1}{4p}=-1[/tex]

[tex]p=-\frac{1}{4}[/tex]

The directrix is equal to

[tex]y=14+\frac{1}{4}=14.25[/tex]

case 3) we have

[tex]y+7.5=2(x+2.5)^{2}[/tex]

the vertex is the point (-2.5,-7.5)    

[tex]\frac{1}{4p}=2[/tex]

[tex]p=\frac{1}{8}[/tex]    

The directrix is equal to

[tex]y=-7.5-\frac{1}{8}=-7.625[/tex]

case 4) we have

[tex]y-17=-(x-3)^{2}[/tex]

the vertex is the point (3,17)      

[tex]\frac{1}{4p}=-1[/tex]

[tex]p=-\frac{1}{4}[/tex]    

The directrix is equal to

[tex]y=17+\frac{1}{4}=17.25[/tex]

case 5) we have

[tex]y+7=(x-4)^{2}[/tex]

the vertex is the point (4,-7)      

[tex]\frac{1}{4p}=1[/tex]

[tex]p=\frac{1}{4}[/tex]    

The directrix is equal to

[tex]y=-7-\frac{1}{4}=-7.25[/tex]

case 6) we have

[tex]y-6=-(x-1)^{2}[/tex]

the vertex is the point (1,6)      

[tex]\frac{1}{4p}=-1[/tex]

[tex]p=-\frac{1}{4}[/tex]    

The directrix is equal to

[tex]y=6+\frac{1}{4}=6.25[/tex]

The correct matches are: Directrix y = -7.25 → Equation of Parabola: y + 7 = (x - 4)², Directrix y = 6.25 → Equation of Parabola: y - 6 = -(x - 1)², Directrix y = 17.25 → Equation of Parabola: y - 17 = -(x - 3)², Directrix y = 14.25 → Equation of Parabola: y - 14 = -(x - 3)².

To match the equations representing parabolas with their directrixes, it's essential to understand the standard form of a parabola's equation related to its axis of symmetry.

For a vertical parabola, the standard form is y = a(x - h)² + k, where the vertex is at (h, k) and the directrix is y = k - 1/(4a) for a parabola that opens upwards, or y = k + 1/(4a) for a parabola that opens downwards.

For a horizontal parabola, the standard form is x = a(y - k)² + h. In our case, all given equations are in the vertical form where x is squared.

Let's take each equation and find its directrix:

With the directrix found for each equation, the correct matches are:

Answer:

64

Step-by-step explanation:

Just completed this for edge.

Regression equation : Y = 0.44352X - 21.29443

Approximate height of man who wears size 7 shoe = 64 inches

Regression can be defined as a measurement that is used to quantify how the change in one variable will affect another variable. Regression is used to find the cause and effect between two variables.

Given, ordered pairs

(height in inches, men’s shoe size).

(70, 9.5)

(67, 8)

(69, 9)

(72, 11.5)

(68, 7.5)

(60, 6)

(71, 11)

Using regression calculator

Regression equation

Y = 0.44352X - 21.29443

Approximate height of  a man who wears a size 7 shoe

7 = 0.44352X - 21.29443

0.44352X = 28.29443

X = 28.29443/0.44352

X = 63.7951614 ≈ 64

Approximate height = 64 inches

Hence, Y = 0.44352X - 21.29443 is the regression equation,

64 inches is the approximate height of the man wearing size 7 shoe

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For this case we must resolve the following expression:

[tex](-7p) ^ 3[/tex]

So:

[tex](-7p) ^ 3 =\\(-7p) (- 7p) (- 7p) =[/tex]

By law of multiplication of signs we have:

[tex]- * - = +\\+ * - = -[/tex]

Also:

[tex]7 * 7 * 7 = 343\\p * p * p = p ^ 3[/tex]

Finally, we have that the expression is equivalent to:

[tex](-7p) ^ 3 = -343p ^ 3[/tex]

ANswer:

[tex]-343p ^ 3[/tex]

Answer:

This equation in standard for would be x^2/4 +  y^2 = 1

Step-by-step explanation:

Answer:

Angle 8 = Angle 4

Step-by-step explanation:

Answer:

4.  ∠3 and ∠5

5.  75°

Step-by-step explanation:

4. Same-side interior angles.

If you look at the figure, the INTERIOR angles are those between the two parallel lines (JL and MP), these are angles #3, #4, #5 and #6. The other angles are exterior angles.

The question asks for same-side... meaning both on the left of NK or on the right side of it.  So, the two sets that match this are: 3 with 5 and 4 with 6.

The last option gives you ∠3 and ∠5, so that's your answer.

That makes sense since angles 1 and 2, present in all other choices, are exterior angles.

5. If ∠4 = 75 degrees, what's the value of  ∠8?

Since JL and MP are parallel lines crossed by another line (NK), we know that  ∠4 and ∠8 will have the same measurement.  Those two angles are located on the same position compared to each other and one of the parallel line.

So, since  ∠3 = 75°,  ∠8 also has to be 75°, same for their opposing angles 2 and 5.  While the other angles are complements... so they're 105 degrees angles.

Answer:

The work done is 7.5 Joules.

Step-by-step explanation:

Work Done is the product of the distance covered and the force applied.

[tex]WorkDone=Force\times Distance[/tex],

The force applied is 10.0N.

The distance covered is 0.75m.

This implies that:

[tex]WorkDone=10\times0.75[/tex],

[tex]WorkDone=7.5J[/tex].

The work done is 7.5 Joules.

The green circle shows the cluster. This is where most of the data tends to stay. The smallest x-value is 4 (shown by the vertical pink line) and the largest x-value is 6 (shown by the vertical blue line). As for the y-value: the smallest is shown by the horizontal pink line at 6 and the largest is 9 shown by the horizontal blue line. This means the answer is C.

Hope this helped :)

Answer: OPTION C

Step-by-step explanation:

A relation is a function when each input value has one and only output value.

For option A:

 (2,4), (-5, 6), (2, 3), (-6, 2)

You can observe that the input value "2" has two output values. Then it is not a function.

For option B:

(8, 1), (-5, 4), (2, 1), (8, 2)

You can observe that the input value "8" has two output values. Then it is not a function.

For option C:

(2,4), (-5, 2), (8, 1), (-6, 2)

You can observe that each input value has only one output values. Then it is a function.

For option D:

(2,0).(-5, 3), (8, 1), (-5,5)

You can observe that the input value -5 has two output values. Then it is not a function.

For a set of data to be a function each x value has to have different y values.

A. (2,4), (-5, 6), (2, 3), (-6, 2)

B. (8, 1), (-5, 4), (2, 1), (8, 2)

D. (2,0).(-5, 3), (8, 1), (-5,5)

The bolded coordinates are the ones of each data set that makes it not a function. As you can see the x values all have different y values.

This leaves C. as the answer!

Hope this helped!