write a linear equation using the two coordinates of (3,19), and (5,23)

If the speed of car is 44 feet per second and the speed of emergency vehicle is 74 feet per second,then they the driver of the car will hear the siren after 8.48 seconds after cover the distance of 1000 feet.

Given that the speed of car be 30 mph or 44 feet per second, the speed of emergency vehicle be 50 mph or 74 feet per second and the distance between both is 1000 feet apart.

We are required to find the seconds after which the driver of the car first hear the siren.

Speed is basically the distance that a vehicle covers in a particular period of time.

Speed=Distance/Time

Time=Distance/Speed

Total speed in feet per second=44+74=118 feet per second

Time=1000/118

=8.48 seconds

Hence if the speed of car is 44 feet per second and the speed of emergency vehicle is 74 feet per second,then they the driver of the car will hear the siren after 8.48 seconds.

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Answer:

.045% or about half of one percent

Step-by-step explanation:

P(queen) = 4/52

P(3 queens) = (4/52)³ = 64/140608 = .045%

Thus, the volume of the frustum of the right circular cone with height 25, lower base radius 29 and top radius 11 is approximately 10,677.54 cubic units.

The frustum of a right circular cone is a three-dimensional shape that is formed by cutting off the top of a cone with a plane parallel to the base.

To find the volume of the frustum, we need to use the formula for the volume of a frustum, which is given by:

V = (1/3)πh(R^2 + r^2 + Rr)

where V is the volume of the frustum, h is the height of the frustum, R is the radius of the lower base, and r is the radius of the top base.

In this case, the height of the frustum is 25, the radius of the lower base is 29, and the radius of the top base is 11. So, we can substitute these values into the formula and simplify:

V = (1/3)π(25)(29^2 + 11^2 + 29*11)
V = (1/3)π(25)(841 + 121 + 319)
V = (1/3)π(25)(1281)
V = (1/3)(25π)(1281)
V = 10,677.54

Therefore, the volume of the frustum of the right circular cone with height 25, lower base radius 29 and top radius 11 is approximately 10,677.54 cubic units.

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Answer:

-7

Step-by-step explanation:

Move all terms that don't contain  x  to the right side and solve.

Answer:

50, positive

Step-by-step explanation:

(-5) * (-10) = 50

When a negative multiplies by another negative, the answer is positive

So, the answer is 50 and the sign is positive

Answer:

Step-by-step explanation:

ERERRER3R3ERWEWREWRERE

The angle θ is maximized when c = 2 (halfway between two points).

The maximum angle at which a conveyor can be inclined while still delivering a predetermined amount of bulk material in a given amount of time. As the maximum angle is approached, the rate of bulk material handling is usually reduced.

Given that, in the figure, find the value of c in the interval [0, 4] on the x-axis that maximizes angle θ.

Express θ as a function of c, Let α be the angle to the left of θ and let β be the angle to the right, then,

tanα = 2/c

and tanβ = 2/(4-c)

At this point, we suppose that it might be easier to use cotangent in order to keep c inn numerator,

cotα = c/2

cotβ = (4-c)/2

We have, α+β+θ = π, so,

θ = π-α-β

= π-cot⁻¹c/2-cot⁻¹(4-c)/2

Differentiate, set equal to 0 and solve

dθ/dc = 1/1+(c/2)².1/2+1/1+(4-c/2)²(1/2)

Put dθ/dc = 0

1/1+(c/2)².1/2+1/1+(4-c/2)²(1/2) = 0

1/1+(c/2)²-1/1+(4-c/2)² = 0

1/1+(c/2)² = 1/1+(4-c/2)²

(4-c/2)² = (c/2)²

(c/2) = (4-c/2)

4-c = c

2c = 4

c = 2

Hence, The angle θ is maximized when c = 2 (halfway between two points).

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The solution of equation is x=-3

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

Given

The equation;√x+3=-6

Now,

√x=-6-3

√x=-9

x=-3

Therefore the answer of the given equation will be -3

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Answer:

hmmmm if theres choices its B

Answer:

Step-by-step explanation:

Given function

Every year the value is changing at the rate:

The rate of 1.06 is equivalent of 6% increase per year

Question :-

Explanation :-

According to the question, it's given –

Seven times the opposite of a number is 50 less than 3 times the number.

We've assumed that the number is x. So, opposite of the number will be -x.

\(\qquad\)\(\pink{ \bf \longrightarrow 7(-x) = 3x-50} \)

Now, let's solve this equation –

\(\qquad\)\( \bf \longrightarrow 7(-x) = 3x-50 \)

\(\qquad\)\( \sf \longrightarrow -7x = 3x -50\)

Subtract 3x from both side –

\(\qquad\)\( \sf \longrightarrow -7x -3x = 3x -50-3x \)

Cancel 3x from right side –

\(\qquad\)\( \sf \longrightarrow -7x -3x =\cancel{ 3x} -50-\cancel{3x }\)

\(\qquad\)\( \sf \longrightarrow -10x = -50\)

Now, cancel (-) sign from both side –

\(\qquad\)\( \sf \longrightarrow \cancel{-}10x = \cancel{-}50\)

\(\qquad\)\( \sf \longrightarrow 10 x = 50\)

Then, divide both sides by 10 –

\(\qquad\)\( \sf \longrightarrow \dfrac{10x}{10} = \dfrac{50}{10}\)

\(\qquad\)\( \sf \longrightarrow \dfrac{\cancel{10}x}{\cancel{10}} = \cancel{\dfrac{50}{10}}\)

\(\qquad\)\(\pink{ \bf \longrightarrow x = 5 }\)

Answer: The number is 5

Creating an Equation:

      First, we will need to write a mathematical equation that represents the problem.

-> If n is our number, then the opposite of n is -n because -1 times -n is n and -1 times n is -n

-> The underlined portion becomes a part of our equation in the next line.

Seven times the opposite of a number is 50 less than 3 times the number

7 * -n is 50 less than 3n

7 * -n is 3n - 50

7(-n) = 3n - 50

Solving for the Number:

7(-n) = 3n - 50     =|=     Our equation

-7n = 3n - 50       =|=     Distribute the 7 into -n

-10n = -50            =|=     Subtract 3n from both sides of the equation

n = 5                     =|=     Divide both sides of the equation by -10

Our number is 5

The intermediate result is  \(C= \left[\begin{array}{cc}18&14\\62&66\end{array}\right]\).

In linear algebra, the Strassen algorithm, named after Volker Strassen, is an algorithm for matrix multiplication. It is faster than the standard matrix multiplication algorithm for large matrices, with a better asymptotic complexity, although the naive algorithm is often better for smaller matrices.

To use Strassen's algorithm to compute the matrix product C = AB, we need to divide the matrices into smaller submatrices and apply the algorithm recursively.

First, we need to pad both matrices A and B with zeros to make them both 2x2 matrices:

\(A= \left[\begin{array}{cc}1&3\\7&5\end{array}\right]\)

\(B= \left[\begin{array}{cc}6&8\\4&2\end{array}\right]\)

Next, we divide each matrix into four submatrices of size 1x1:

A11 = 1,   A12 = 3

A21 = 7, A22 = 5

B11 = 6,  B12 = 8

B21 = 4, B22 = 2

We can then apply Strassen's algorithm to compute the product C = AB:

P1 = A11 * (B12 - B22) = 1 * (8 - 2) = 6

P2 = (A11 + A12) * B22 = (1 + 3) * 2 = 8

P3 = (A21 + A22) * B11 = (7 + 5) * 6 = 72

P4 = A22 * (B21 - B11) = 5 * (4 - 6) = -10

P5 = (A11 + A22) * (B11 + B22) = (1 + 5) * (6 + 2) = 48

P6 = (A12 - A22) * (B21 + B22) = (3 - 5) * (4 + 2) = -12

P7 = (A11 - A21) * (B11 + B12) = (1 - 7) * (6 + 8) = -84

Using these intermediate results, we can compute the submatrices of C:

C11 = P5 + P4 - P2 + P6 = 48 - 10 - 8 - (-12) = 18

C12 = P1 + P2 = 6 + 8 = 14

C21 = P3 + P4 = 72 - (-10) = 62

C22 = P5 + P1 - P3 - P7 = 48 + 6 - 72 - (-84) = 66

Finally, we can combine these submatrices to obtain the matrix C:

\(C= \left[\begin{array}{cc}18&14\\62&66\end{array}\right]\)

Therefore, the product C = AB using Strassen's algorithm is:

\(C= \left[\begin{array}{cc}18&14\\62&66\end{array}\right]\)

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Answer: is B

Step-by-step explanation:

Answer:

9(t + 3)

Hope this helps! Brainliest would be really appreciated!

Answer:y = 2x + 14

Step-by-step explanation:

First, you have to find the slope by using

In other words,

The slope is 2.

Then you plug the rest into point-slope form (you can use either of the points, I used the first one)

Remember that m is the slope.

Distribute the slope to the par

Step-by-step explanation: first you do this then that then this then that then this

Step-by-step explanation:

x varies directly as y

x=ky

12=4k

k=12/4

k=3

Answer:

7.07

Step-by-step explanation:

Step-by-step explanation:

7.07

or

7.07106781187

enjoy thanks brainliest??

and yes enjo :)

Answer:

A. ≈31.1

B. ≈19.7

Step-by-step explanation:

A. 245/798

B. 157/798

Answer:

Look at step-by-step explanation

Step-by-step explanation:

14a.

There are 798 students total and 245 freshman. To find the percent of freshman, divide 245 by 798:

245/789= 31.1%

Same process for part b. There are 798 students and 157 seniors:

157/789= 20.0%

Answer:

2q=6       Subtract both sides by 6

q=3          Divide both sides by 2

Step-by-step explanation:

2q+6=12

2q=6       Subtract both sides by 6

q=3          Divide both sides by 2

Hope this helps :)

Answer:

Well this is common algebra

So you want to isolate the variable so in this case you subtracted 6 on both sides.

Now you jsut divide both sides by 2 which is 2q/2=q

6/2=3

q=3

The type of survivorship curve that would represent a fish population where death at any age is equally probable is Type II survivorship curve.

In a Type II survivorship curve, the mortality rate is relatively constant throughout the lifespan of the organism. This means that the probability of dying is equal at any age.

This pattern is often observed in species where there is a relatively constant level of predation, disease, or other factors that contribute to mortality.

For the fish population in the small pond, if death at any age is equally probable, it suggests that there is a consistent level of mortality affecting the fish population. This aligns with the characteristics of a Type II survivorship curve.

Thus, a Type II survivorship curve would represent the fish population in the small pond where death at any age is equally probable.

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Answer:

4 i think

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

So you count to two fingers on one hand and to two on the other one to. Then you put them together. So now you should have counted 4 fingers all together.

XD

Hello!!!!

A potential function for the vector field F(x, y) = ⟨8xy + 11y - 11, \(4x^{2}\) + 11x⟩ is f(x, y) = 4\(x^{2}\)y + 11xy - 11x + C, where C is a constant.

To find a potential function for the vector field F(x,y) = ⟨8xy+11y-11, 4\(x^{2}\)+11x⟩, we need to find a function f(x,y) whose partial derivatives with respect to x and y match the components of F(x,y).

Integrating the first component of F with respect to x, we get f(x,y) = 4\(x^{2}\)y + 11xy - 11x + g(y), where g(y) is an arbitrary function of y.

Taking the partial derivative of f with respect to y, we have ∂f/∂y = 4\(x^{2}\) + 11x + g'(y).

Comparing this with the second component of F, we find that g'(y) = 0, which means g(y) is a constant.

Therefore, a potential function for F(x,y) is f(x,y) = 4\(x^{2}\)y + 11xy - 11x + C, where C is a constant.

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Let A (3,-7) and B (-5,-7) are two points where x1=3 , y1 = -7, x2=-5 , y2= -7

Now,

d = √ (x2- x1)^2 +(y2-y1)^2

= √ (-5-3)^2 + {-7-(-7) }^2

=. √ (-8)^2 + (-7+7)^2

=. √ 64 + (0)^2

=. √64+0

=. √64

=. √(8)^2

=. 8 units

Step-by-step explanation:

-

Answer:

0.28

Step-by-step explanation:

To know the probability we first need to know the total number of choices for each character in the license plate. Since there are a total of 10 possible numbers (0-9) and 26 letters in the English Alphabet. Then this means that each character has a total of 36 possible choices. Out of these 36 only 10 are numbers, therefore the probability of the first character being a number is

\(\frac{10}{36}\) or 0.2777

If we rounded the decimal to the nearest hundredth it would be 0.28

Answer:

The correct answer is 0.28

Para la estudiantes de Español:

La respuesta correcta es 0.28

Step-by-step explanation:

Write 0.28 as the answer! It's correct.

Escribe 0.28 para la respuesta. Es correcto.

To translate an entire triangle, find the coordinates of each of the triangle's vertices, add the horizontal translation then plot the three translated points.

Whenever an object is moved from one location to the next without changing its size, shape, or orientation, a translation takes place. If we know which way and how far the figure to be moved, we can draw the translation in the coordinate plane.

Use P′(x+a,y+b) to translate the point P(x,y), a unit to the right, and b unit up. Use P′(x−a,y−b) to translate the point P(x,y), a unit to the left and b unit to the lower.

There are some steps of translating the triangle:

Step 1: Find the coordinates of each of the triangle's vertices in step one.

Step 2: Add the horizontal translation value to each vertex's x-coordinate and the vertical translation value to each point's y-coordinate to translate each point. If the horizontal translation is to the left or the vertical translation is downward for these translations, add a negative number.

Step 3: Plot the three translated points and draw the triangle by drawing a straight line between each pair of points.

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Answer: a.) 3

Step-by-step explanation: An acute triangle (or acute-angled triangle) is a triangle with three acute angles (less than 90°).

Hello! I'm glad you asked my name is ✰Tobie✰ and

I'll walk you through step by step so that you can comprehend this question a bit better !

How many acute angles are in an acute triangle?

⋆a.3⋆

b.2

c.1

d.0

__________________________________________

⋆E/X/P/L/A/N/A/T/I/O/N⋆

Your answer should be A.3 here's why.

Triangles have 3 sides the same applies if the triangle is an acute or obtuse

triangle or any kind of triangle  .An acute triangle is a  triangle with three

acute angles (less than 90°)Any triangle over 90° is not an acute triangle .

Any triangle with one angle that is greater than 90° is considered a obtuse triangle.

Hope this helps!

☆Take care!

(I also hope you have a great rest of your day! <3)

-Tobie <3

ʕ •ᴥ•ʔ

It is given that a set of real numbers s is non-empty and bounded. The objective is to prove that inf s ≤ sup s. This statement can be justified as below.

Firstly, as per the definition of bounded set, it is known that the set s has both lower and upper bounds. Thus, the infimum and supremum of s exist and are denoted as inf s and sup s, respectively.

Since s is non-empty and bounded, it can be observed that every element of the set s is greater than or equal to inf s and less than or equal to sup s.

Therefore, inf s is the greatest lower bound of s and sup s is the least upper bound of s, implying that inf s ≤ sup s. Hence, it is proven that inf s ≤ sup s for a non-empty set s of real numbers that is bounded.

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The worth of the 100 dollar worth if groceries in 3 years is

An exponential function is a Mathematical function in the form f (x) = ax, where “x” is a variable and “a” is a constant which is called the base of the function and it should be greater than 0. The most commonly used exponential a base is the transcendental number e, which is approximately equal to 2.71828.

Using the formula:

P(t) = P(o) e ^kt

k =7/100 = 0.07

t = 3years

P(o) = $100

P(t) = 100 e^0.07×3

P(t) = 100e^0.21

P(t) =100×1.23

P(t) = $123

therefore the worth of the $100 groceries in 3 years is $123

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