45. Anela and Jacob plan to attend a concert in Brady.

Anela will drive 375 km to Brady at a constant speed

of 75 km/hr, stopping one time for a 30-minute break.

Jacob will start 600 km from Brady and will drive at a

constant speed of 90 km/hr for 2 hours. He will take a

1-hour break and then drive to Brady at a constant

speed of 70 km/hr. To the nearest 0.1 hour, Jacob must

leave how much earlier than Anela in order for them to

arrive in Brady at the same time?

B. 2.5

C. 3.1

D. 3.5

Answer:

The numbers are 36 and 68.

Step-by-step explanation:

Let the smaller number be x.

"The larger number is four less than two times the smaller

number."

The larger number is

2x - 4

The sum of the numbers is x + 2x - 4, or 3x - 4.

"The sum of the numbers is 104."

3x - 4 = 104

3x = 108

x = 36

The smaller number is 36.

The larger number is 2x - 4, or

2x - 4 = 2(36) - 4 = 72 - 4 = 68

The larger number is 68.

Answer: The numbers are 36 and 68.

Answer:

\(x = 20\)

Step-by-step explanation:

They are similar trapezoids, so that their corresponding sides are also similar.

\( \frac{24}{16} = 1.5\)

So that

\( \frac{30}{x} = 1.5 \\ x = 20\)

Answer:

the answer is c because i looked it up

Answer:

d

Step-by-step explanation:

did it on edge 2020

Answer:

n=4

Step-by-step explanation:

n+5{n-2}=14

n+5n-10=14

6n-10=14

  +10  +10

6n=24

6/6=1

24/6=

n=4

Answer:

pretty sure it's D........

The total cost of two Medium Sodas, two Medium Poocoms, and two Movie tickets will be $38.

In other words, the collection of all feasible values for the parameters that satisfy the specified mathematical equation is the convenient storage of the bunch of equations.

Let 'T' represents the total amount, 'm' represents the number of movie tickets, 'p' represents the number of popcorn, 's' represents the number of soda cans, and 'c' represents the number of candies. Then the equation is given as,

T = 8.25m + 6p + 4.75s + 3.5c

The total cost for m = 2, p = 2, s = 2, and c = 0 is calculated as,

T = 8.25(2) + 6(2) + 4.75(2) + 3.5(0)

T = 16.50 + 12 + 9.50 + 0

T = $38

The total cost will be $38.

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The rectangular coordinates of the points of intersection of the polar curves r = 2sin(2θ) and r = 2sin(θ), the equations can be converted to rectangular form. However, solving the resulting system of equations algebraically may be challenging. Alternatively, graphing the polar curves and visually identifying the points of intersection can provide an effective method.

To find the rectangular coordinates of the points of intersection of the polar curves r = 2sin(2θ) and r = 2sin(θ), the equations can be converted to rectangular form, the rectangular coordinates of the above points are given below:

For the equation r = 2sin(2θ):

x = 2sin(2θ)cos(θ)

y = 2sin(2θ)sin(θ)

For the equation r = 2sin(θ):

x = 2sin(θ)cos(θ)

y = 2sin^2(θ)

The rectangular coordinates of the point(s) of intersection of the polar curves r = 2sin(2θ) and r = 2sin(θ) can be found by converting the polar equations to rectangular form and solving for the x and y coordinates.

To convert the polar equations to rectangular form, we can use the relationships x = rcos(θ) and y = rsin(θ). Substituting these expressions into the given polar equations, we get:

For the equation r = 2sin(2θ):

x = 2sin(2θ)cos(θ)

y = 2sin(2θ)sin(θ)

For the equation r = 2sin(θ):

x = 2sin(θ)cos(θ)

y = 2sin^2(θ)

To find the points of intersection, we need to set the x and y coordinates of both equations equal to each other and solve for θ. However, solving this system of equations algebraically can be complex due to the trigonometric functions involved.

Graphing the polar curves and visually inspecting the points of intersection may provide a more intuitive approach to finding the rectangular coordinates. By plotting both polar curves on a graph, the points where the curves intersect can be determined by their shared coordinates.

In summary, to find the rectangular coordinates of the points of intersection of the polar curves r = 2sin(2θ) and r = 2sin(θ), the equations can be converted to rectangular form. However, solving the resulting system of equations algebraically may be challenging. Alternatively, graphing the polar curves and visually identifying the points of intersection can provide an effective method.

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Answer:

238+4x=242x

Step-by-step explanation:

Answer:

16x+936

You would just have to simplify and combine like terms

Answer: 40

Step-by-step explanation:

5*2^3 = ?   // means comment btw, also I am on my iPad so * means times and ^ power like 2 to the 3rd power

5*2*2*2

(5*2)*(2*2)

10*4

Answer= 40

Answer:

66.5 degrees

Step-by-step explanation:

use soh cah toa

sinx degrees= oppposite/hypotenuse

sinx degrees=11/12

sin x degrees= 0.916

sin 66.5 degrees = 0.916

if u need a full number do 66

I have modified the problem to make it solvable.

Answer:

The collection has 20 dimes and 8 quarters

Step-by-step explanation:

Let's call:

x=number of dimes

y=number of quarters

There are 28 coins in total, thus:

\(x+y=28\qquad\qquad [1]\)

The total value of the collection is $2, or 200 cents. Since each dime is worth 10 cents and each quarter is worth 25 cents:

10x+25y=200

Dividing by 5:

\(2x+5y=40\qquad\qquad [2]\)

From [1]:

x=28-y

Substituting in [2]

2(28-y)+5y=40

Operating:

56-2y+5y=40

Simplifying:

3y=40-56=-16

This equation yields a negative value of y, which is unacceptable as a number of coins.

The problem does not have a valid solution.

To make the problem coherent I'll correct the second condition. Instead of $2, the collection is worth $4 or 400 cents. The equation would be now:

10x+25y=400

Dividing by 5:

2x+5y=80\qquad\qquad [2]

Now:

56-2y+5y=80

Simplifying:

3y=80-56=24

Solving:

y=24/3=8

And:

x=28-y=20

The collection has 20 dimes and 8 quarters

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:

x^9√x

Step-by-step explanation:

Answer:

8 hours

Step-by-step explanation:

wait what is starting temperature?

The length of the object if the volume is 217 cm³ is; 19.91cm

The volume of a rectangular prism is given by the formula;

Hence, since Volume = 217cm³, width = 2.8cm and height = 5cm.

Therefore;

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Answer:

adjacent and supplementary angles

Step-by-step explanation:

Angles directly next to each other on a straight line are adjacent angles and are supplementary ( sum to 180° )

Answer:

Supplementary & Adjacent Angles

Step-by-step explanation:

Have a magnificent day !!!

Answer:

19

Step-by-step explanation:

KM is 2x + 7 units long and ML is 8x - 29 units long, and they have equal length because M is the midpoint of KL. So let's set up the equation like this: 2x + 7 = 8x - 29 and solve for x. We get 6x = 36, so x = 6. The question asks us to find the length of ML, so let's substitute x = 6 in the expression 8x - 29. So the answer is (8 * 6) - 29 = 48 - 29 = 19.

Answer:

x < 5/2

Step-by-step explanation:

Answer:

Hay 140 alumnos en dicha aula.

Step-by-step explanation:

Primero, debes encontrar la cantidad de alumnos que aprobaron que corresponde a 4/5 usando una regla de tres teniendo en cuenta que sabes que 1/5 corresponde a 21 que son los estudiantes que no aprobaron:

1/5  → 21

4/5 →  x

x=(4/5*21)/1/5

x=(84/5)/(1/5)

x=84*5/5*1

x=420/5

x=84

Ahora, puedes sumar el número de estudiantes que aprobaron con el número de estudiantes que no aprobaron para encontrar el total que estudiantes que asistieron al examen:

84+21=105

Después, dado que sabes que 105 estudiantes corresponde a 3/4 de los alumnos en un aula, puedes usar una regla de tres para encontrar el número de estudiantes en el aula:

3/4 → 105

1     →   x

x=(1*105)/(3/4)

x=(105/1)/(3/4)

x=105*4/1*3

x=420/3

x=140

De acuerdo a esto, la respuesta es que hay 140 alumnos en dicha aula.

64m is the maximum area of the rectangle

8x8=64

8+8+8+8=32

Answer:

Step-by-step explanation:

The slope of a line given two points can be found by using the formula

\(m = \frac{ y_2 - y _ 1}{x_ 2 - x_ 1} \)

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(−4, 8) and (−3, −6)

The slope is

\(m = \frac{ - 6 - 8}{ - 3 + 4} = \frac{ - 14}{1} \)

We have the final answer as

Hope this helps you

24 centimeters. Hope this helped!

Function f(x) is increasing  for values of \(x<-1\) and \(x>3\) .

Therefore, option (B) is correct.

Given function is,

                        \(f(x)=(x^{2} -3)e^{-x}\\\\f(x)=x^{2} e^{-x}-3e^{-x}\)

Taking first derivative of above function.

              \(f'(x)=2xe^{-x} -e^{-x} x^{2} +3e^{-x} \\\\f'(x)=e^{-x}(2x-x^{2} +3) \\\\f'(x)=-e^{-x}(x+1)(x-3)\)

To find critical points, equate above derivative to zero.

We get,   x = -1 , x = 3

We have three interval,  (-∞ , -1) , (-1, 3) and (3, ∞)

Since, in interval (-∞ , -1)  and (3, ∞) function f(x) is positive.

Therefore, In interval  (-∞ , -1)  and (3, ∞) function is increasing.

Thus, option B is correct.

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Answer:

they are on opposite sides whick makes them in the opposite

Answer:

-2

Step-by-step explanation:

\((-6)^2+7(-6)+4\\36-42+4\\-2\)

To complete the square for the equation x^2 + 8x = 0, we first take half of the coefficient of x, which is 4. Then we square this value to get 16, which we add and subtract from both sides of the equation:

x^2 + 8x + 16 - 16 = 0 + 16

(x+4)^2 = 16

We can simplify this further to get the equation in the desired form:

(x+4)^2 = 4(x+4)

By dividing both sides by 4, we get:

(x+4)^2/4 = x+4

This can be rearranged to match the form (x+a)^2 = b(x+a)^2, with a= -4 and b = 1/4.

For the equation -10x - 76, there is no need to complete the square as it is already in the standard form of a quadratic expression.

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To complete the square for the equation x^2 + 8x = 0, we first take half of the coefficient of x, which is 4. Then we square this value to get 16, which we add and subtract from both sides of the equation:

x^2 + 8x + 16 - 16 = 0 + 16

(x+4)^2 = 16

We can simplify this further to get the equation in the desired form:

(x+4)^2 = 4(x+4)

By dividing both sides by 4, we get:

(x+4)^2/4 = x+4

This can be rearranged to match the form (x+a)^2 = b(x+a)^2, with a= -4 and b = 1/4.

For the equation -10x - 76, there is no need to complete the square as it is already in the standard form of a quadratic expression.

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Answer:

The actual product is reasonable because it is near 80 but greater than 80. Both factors were rounded down, making the estimate lower than the actual product.

Step-by-step explanation:

Answer:

A

Step-by-step explanation: