I need help with math please

9514 1404 393

Answer:

  (d)  16

Step-by-step explanation:

Angles opposite sides of the same measure are congruent. Here, the triangle is isosceles, so the base angles are congruent:

  2x = 32

  x = 16 . . . . . . divide by 2°

La ecuación que nos da el valor del auto t años despues de 1998 es:

V(t) = $240,000*(0.92)^t

El valor de el auto en el año 2010 será de $88,239.93

La ecuación exponencial general es:

f(x) = A*(b)^x

Donde A es el valor inicial, b es el factor de cambio, y x es la variable.

En este caso, sabemos que el automovil se compra por $240,000 en 1998, entonces definimos 1998 como el tiempo inicial, t = 0, y el valor inicial será:

A = $240,000

El factor de cambio depende de que tanto decae o aumenta el valor del auto por año, en este caso decae un 8% por año, entonces tendremos:

b = 1 - 8%/100% = 1 - 0.08 = 0.92

El factor de cambio es 0.92

Entonces la ecuación que nos da el valor del auto t años despues de 1998 es:

V(t) = $240,000*(0.92)^t

Particularmente, 2010 es 12 años luego de 1998, entonces t = 12.

V(12) = $240,000*(0.92)^12 = $88,239.93

El valor de el auto en el año 2010 será de $88,239.93

Sí quieres aprender más sobre ecuaciones exponenciales:

https://brainly.com/question/11832081

#SPJ1

The inequality system that is represented in the graph are-

y < -x -1 and y ≤ x + 2.

Consider two point on dotted line.

(-1, 0) and (-2, 1)

Fine slope m:

m = (1 - 0)/(-2 + 1)

m = -1

Equation of line:

y - 0 = (-1)(x + 1)

y = -x -1

In the  inequality system.

y < -x -1

Consider two point on bold line.

(0,2) and (-2, 0)

Fine slope m:

m = (0 - 2)/(-2 -0)

m = 1

Equation of line:

y - 2 = (1)(x + 0)

y = x + 2

In the inequality system.

y ≤ x + 2

Thus, the inequality system that is represented in the graph are-

y < -x -1 and y ≤ x + 2.

know more about the inequality system

https://brainly.com/question/11897796

#SPJ1

From the circle the value of angle x is 90 degrees

We have to find the value of x

The radius of the circle is 18.5

As we observe the figure the angle x is opposite to the 90 degrees

The angle x and angle 90 degrees are vertical angles

We know that the vertical angles are equal or same

∠x = 90 degrees

Hence, the value of angle x is 90 degrees from the circle

To learn more on Circles click:

https://brainly.com/question/11833983

#SPJ1

Answer: y=3x-2

Step-by-step explanation:

3y-9x=-6

First you will need to add 9x to the other side so your equation will look like 3y=9x-6. Then you need to divide all the numbers by 3. So 3y divided by 3 and 9 divided by 3 and -6 divided by 3. Your final answer should be y=3x-2.

Answer:

This equation in slope intercept form would be y = 3x - 2

Step-by-step explanation:

The following is how to solve this equation:
3y - 9x = -6
+9x +9x
----------------------
3y = 9x - 6
divide each of the numbers by 3

So the answer is y = 3x - 2

The solution for x is given as follows:

x = 20.

The value of x is obtained using the geometric mean theorem, which states that the length of the altitude drawn from the vertex of the right angle of the right triangle to its hypotenuse is the geometric mean between the measures of the two segments of the hypotenuse.

Hence the equation for this problem is given as follows:

\(16x = (8\sqrt{5))^2\)

Then the solution for x is obtained as follows:

16x = 64 x 5

16x = 320

x = 320/16

x = 20.

Meaning that the correct option is given by the third option among those given.

More can be learned about right triangles at brainly.com/question/30203256

#SPJ1

Answer:

\(x=8, y=3\)

Step-by-step explanation:

Recall that if a matrix multiplication of two matrices is defined, then the number of columns of the first matrix is equivalent to the number of rows of the second matrix.

Since matrix M has (11-x) columns and matrix N has y rows, and MN is defined, so it follows:

\(y=11-x----(1)\)

Since matrix N has (y+5) columns and matrix M has x rows, and NM is defined, so it follows:

\(y+5=x----(2)\)

Substitute (1) into (2):

\(11-x+5=x\\2x=16\\\therefore x=8--(3)\)

Substitute (3) into (1):

\(y=11-8=3\)

Answer:

2x = 26, x = 13

Step-by-step explanation:

Write and solve an equation twice a number is 26

x = unknown number

Equation: 2x = 26

Solve:

2x = 26

/2    /2 <== divide both sides by 2

x = 13

Check your answer:

2x = 26

2(13) = 26

26 = 26

This stament is correct

Hope this helps!

The measure of the unknown sides is equivalent to 12.6

The given figure is a circle geometry with the perpendicular lines intersecting both segments of the circle.

We need to determine the measure of x. Since the measure of the perpendicular lines are equal, hence the measure of the line of the segments will also be equal.

Hence:

x = 6.3 + 6.3

x = 12.6

Therefore the measure of x from the given diagram is equivalent to 12.6

Learn more on circle geometry here: https://brainly.com/question/26594685

#SPJ1

Step-by-step explanation:

y=-2X2 -2X +4

Answer: I answered it it's C

Answer:

m=4/7

Step-by-step explanation:

slope: y2-y1/x2-x1

I'm going to assume that "−" is supposed to be some kind of minus character, so that the given system of DEs is supposed to be

\(\begin{cases}\dfrac{\mathrm d^2x}{\mathrm dt^2} + x - y = 0 \\ \dfrac{\mathrm d^2y}{\mathrm dt^2} + y - x = 0 \\ x(0) = 0, x'(0) = -6, y(0) = 0, y'(0) = 1\end{cases}\)

Take the Laplace transform of both sides of both equations. Recall the transform for a second-order derivative,

\(L_s\left\{\dfrac{\mathrm d^2f(t)}{\mathrm dt^2}\right\} = s^2 F(s) - sf(0) - f'(0)\)

where F(s) denotes the transform of f(t). You end up with

\(\begin{cases}s^2X(s)-sx(0)-x'(0) + X(s) - Y(s) = 0 \\ s^2Y(s) - sy(0) - y'(0) + Y(s) - X(s) = 0\end{cases} \\\\ \begin{cases}(s^2+1)X(s) - Y(s) = -6 \\ (s^2+1)Y(s) - X(s) = 1\end{cases}\)

and solving for X(s) and Y(s) (nothing tricky here, just two linear equations) gives

\(X(s) = -\dfrac{6s^2+5}{s^2(s^2+2)} \text{ and } Y(s) = \dfrac{s^2-5}{s^2(s^2+2)}\)

Now solve for x(t) and y(t) by computing the inverse transforms. To start, split up both X(s) and Y(s) into partial fractions.

• Solving for x(t) :

\(-\dfrac{6s^2+5}{s^2(s^2+2)} = \dfrac as + \dfrac b{s^2} + \dfrac{cs+d}{s^2+2} \\\\ -6s^2-5 = as(s^2+2) + b(s^2+2) + (cs+d)s^2 \\\\ -6s^2-5 = (a+c)s^3 + (b+d)s^2 + 2as + 2b \\\\ \implies \begin{cases}a+c=0\\b+d=-6\\2a=0\\2b=-5\end{cases} \implies a=c=0, b=-\dfrac52, d=-\dfrac72\)

\(\implies X(s) = -\dfrac5{2s^2} - \dfrac7{2(s^2+2)}\)

Taking the inverse transform, you get

\(L^{-1}_t\left\{X(s)\right\} = -\dfrac52 L^{-1}_t\left\{\dfrac{1!}{s^{1+1}}\right\} - \dfrac7{2\sqrt2} L^{-1}_t\left\{\dfrac{\sqrt2}{s^2+(\sqrt2)^2}\right\} \\\\ \implies \boxed{x(t) = -\dfrac52 t - \dfrac7{2\sqrt2}\sin(\sqrt2\,t)}\)

• Solving for y(t) :

\(\dfrac{s^2-5}{s^2(s^2+2)} = \dfrac as + \dfrac b{s^2} + \dfrac{cs+d}{s^2+2} \\\\ s^2 - 5 = as(s^2+2) + b(s^2+2) + (cs+d)s^2 \\\\ s^2 - 5 = (a+c)s^3 + (b+d)s^2 + 2as + 2b \\\\ \implies \begin{cases}a+c=0\\b+d=1\\2a=0\\2b=-5\end{cases} \implies a=c=0, b=-\dfrac52, d=\dfrac72\)

\(\implies Y(s) = -\dfrac5{2s^2} + \dfrac7{2(s^2+2)}\)

Inverse transform:

\(L^{-1}_t\left\{Y(s)\right\} = -\dfrac52 L^{-1}_t\left\{\dfrac{1!}{s^{1+1}}\right\} + \dfrac7{2\sqrt2} L^{-1}_t\left\{\dfrac{\sqrt 2}{s^2+(\sqrt2)^2}\right\} \\\\ \implies \boxed{y(t) = -\dfrac52 t + \dfrac7{\sqrt2} \sin(\sqrt2\,t)}\)

There are 540 men living in the mini city.

x + (x + 150) = 1230

Simplifying this equation, we get:

2x + 150 = 1230

Subtracting 150 from both sides, we get:

2x = 1080

Dividing both sides by 2, we get:

x = 540

Therefore, there are 540 men living in the mini city.

To check our answer, we can substitute x = 540 into our original equation:

540 + (540 + 150) = 1230

690 = 1230

This is false, so there must be an error in our calculation. We can double-check our work by trying a different approach.

We know that the number of women exceeds the number of men by 150, so we can represent the number of women as (x + 150). We also know that the total number of people is 1230, so we can set up an equation:

x + (x + 150) = 1230

Simplifying this equation, we get:

2x + 150 = 1230

Subtracting 150 from both sides, we get:

2x = 1080

Dividing both sides by 2, we get:

x = 540

For such more questions on mini

https://brainly.com/question/29266607

#SPJ8

The inequality value that would be able to show/x/ ≤ 5 is option A

In mathematics, inequality refers to a mathematical statement that expresses a relationship between two quantities, indicating that one quantity is greater than, less than, or not equal to the other.

The symbol that we have  is telling us that the value of the x would be less than  or it would be seen to be equal to five.

We can see that /x/ ≤ 5 would exclude the negative values and this can be seen in the option that is marked option A

Learn more about inequality:https://brainly.com/question/20383699

#SPJ1

The area of the square with a side length of 3.1 meters is 9.61 square meters.

To find the area of a square, we need to multiply the length of one side by itself. In this case, the square has a side length of 3.1 m.

Area of a square = side length × side length

Substituting the given side length into the formula:

Area = 3.1 m × 3.1 m

To perform the calculation:

Area = 9.61 m²

It's worth noting that when calculating the area, we are working with squared units. In this case, the side length is in meters, so the area is expressed in square meters (m²). The area represents the amount of space enclosed within the square.

Remember, to find the area of any square, you simply need to multiply the length of one side by itself.

The area of the square with a side length of 3.1 meters is 9.61 square meters.

For more such questions on square

https://brainly.com/question/27307830

#SPJ8

Hey there!

Solve for x :

x = 6 ✅

3x - 2 = 16

>> Add 2 to both sides :

3x - 2 + 2 = 16 + 2

3x = 18

>> Divide each side by 3 :

3x / 3 = 18 / 3

x = 6

▪️Let's verify :

3(6) - 2 ⇔18 - 2 ⇔ 16

Therefore, your answer is x = 6

Learn more about first-degree equations :

↣https://brainly.com/question/20205219

↣https://brainly.com/question/14621119

3x−2=16

Add 2 to both sides.

3x=16+2

Add 16 and 2 to get 18.

3x=18

Divide both sides by 3.

x = 18 /3

Divide 18 by 3 to get 6.

x = 6 ===> Answer

Let x = 6

3×6−2=16

18-2= 16

16 = 16

Checked ✅

Answer: 39

Step-by-step explanation:

30-8=22

22/2=11

11+2=13

13 times 3 =39

Answer:

If you turn it or flip it over or move it it is essentially the same shape. If you try to stretch the paper or fold it you change what the shape is so it is not a rigid motion. Since the two circles are not the same size then it is not a rigid motion

The graph of the system of the inequalities is attached.

To graph the inequalities y < -x - 4 and y ≥ (3/5)x + 4, we can start by graphing the corresponding equations and then shade the appropriate regions based on the inequality signs.

Let's begin with the equation y = -x - 4:

Choose a range of x-values to plot.

For simplicity, let's use x-values from -10 to 10.

Substitute different x-values into the equation to find corresponding y-values.

For example:

When x = -10, y = -(-10) - 4 = 10 - 4 = 6.

When x = 0, y = -(0) - 4 = -4.

When x = 10, y = -(10) - 4 = -10 - 4 = -14.

Plot these points on the coordinate plane and draw a straight line passing through them.

This line represents the equation y = -x - 4.

Next, let's graph the equation y = (3/5)x + 4:

Again, choose a range of x-values to plot. Let's use the same range of -10 to 10.

Substitute different x-values into the equation to find corresponding y-values. For example:

When x = -10, y = (3/5)(-10) + 4 = -6 + 4 = -2.

When x = 0, y = (3/5)(0) + 4 = 0 + 4 = 4.

When x = 10, y = (3/5)(10) + 4 = 6 + 4 = 10.

Plot these points on the coordinate plane and draw a straight line passing through them.

This line represents the equation y = (3/5)x + 4.

Now, let's shade the regions based on the inequalities:

For y < -x - 4, we need to shade the region below the line y = -x - 4.

For y ≥ (3/5)x + 4, we need to shade the region above or on the line y = (3/5)x + 4.

Hence, the region where the shaded regions overlap represents the solution to both inequalities.

Learn more about system of inequalities click;

https://brainly.com/question/29785389

#SPJ1

Answer:

275 miles

Step-by-step explanation:

Divide 605/11 to find out the rate.

Rate is 55 miles per hour.

5 * 55 = 275 miles

Answer:

Step-by-step explanation:

you can solve with an equation

605 : 11 = x : 5

x = 605 * 5 : 11

x = 3025 : 11

x = 275

or

605 : 11 * 5 =

55 * 5 = 275

The solution to the inequality is x >= -2 for inequality 3x-5≥-11

The given inequality is 3x-5≥-11

Three times of x greater than or equal to minus eleven

x is the variable

3x - 5≥ -11:

Adding 5 to both sides, we get:

3x ≥ -6

Dividing both sides by 3, we get:

solution is  x≥-2

Therefore, the solution to the inequality is x >= -2.

To learn more on Inequalities click:

https://brainly.com/question/28823603

#SPJ1

Answer:

1 hour and 30min

Step-by-step explanation:

11-5=6 then divide 6 to 5 and you get 1.2 which is 1 hour and 30min

2.5 cm of snow fall on average each hour.

What is average?

The average formula is also known as the arithmetic mean, which is the ratio of the sum of all given observations to the total number of observations. Thus, using the average formula, the arithmetic mean for any sample of data can be calculated.

The average formula for a given set of data or observations can be expressed as:

Average Formula:

Average = (Sum of Observations) ÷ (Total Numbers of Observations)

Given:

The number of millimeters that fell throughout the course of the period divided by the number of hours is the mean hourly snowfall.

At 5:00 PM,

There are 4 hours from 6 PM to 9 PM.

So, there is 2 millimeters of snowfall as of 5 p.m.

and, 12 millimeters of snowfall as of 9 p.m.

Then, the accumulation of snow rises by

=12-2

= 10 cm in those four hours.

Thus, on an average the snow fall at rate

= 10/4

= 2.5

Hence, 2.5 cm of snow fall on average each hour.

Learn more about average here:

https://brainly.com/question/24057012

#SPJ2

The width of the deck given that the entire deck needs 40 feet to trim is 8 feet

Let's assume the width of the rectangular deck is "w".

The perimeter of the deck can be calculated by using the formula: P = 2(l + w), where P is the perimeter, l is the length, and w is the width.

Here, the length of the deck is given as 12 feet.

So, P = 2(12 + w)

We also know that the total trim required is 40 feet.

So, P = 40 feet

Equating both the expressions for P, we get:

2(12 + w) = 40

Simplifying the equation, we get:

24 + 2w = 40

2w = 16

w = 8

Therefore, the width of the deck is 8 feet.

Read more about perimeter at

https://brainly.com/question/25092270

#SPJ1

Answer:

$14

Step-by-step explanation:

20 x .7 = 14

After considering the given data we conclude that the perimeter of the given swimming pool is 23 meters which is Option A.

The perimeter of a rectangle is evaluated by adding up all its sides. For the given case, we possess a rectangle with sides
a = 5m,
b = 8m,
c = 8m and
d = 2m.
Perimeter regarding the swimming pool is evaluated as
a + b + c + d
= 5m + 8m + 8m + 2m
= 23 meters
Hence the option regarding the question which satisfy the perimeter is Option A.
Perimeter the counted  measurement regarding the distance around the outside of a two-dimensional shape. In this system  the length of the outline or boundary of any two-dimensional geometric shape is defined as perimeter .
To learn more about perimeter
https://brainly.com/question/19819849
#SPJ1
The complete question is
If a = 5m, b = 8 m, c = 8 m, and d = 2 m, what is the perimeter of the swimming pool?
A.23 m
B. 32 m
C.29 m
D.34 m

Answer:

301

Step-by-step explanation:

3 + 0 + 1 = 4

301 / 7 = 43

301 / 2 = 105.5

Answer:

301

Step-by-step explanation:

301 divided by 7 = 43

301 is not divisible by 2

3 + 1 + 0 = 4

Hope this helps :)

The value of side length x in diagram a) is 4.3mm and side length x in diagram b) is 309.7 m.

The figures in the image are right triangles.

A)

angle D = 17 degree

Adjacent to angle D = 14 mm

Opposite to angle D = x

To solve for the missing side length x, we use the trigonometric ratio.

Note that: tangent = opposite / adjacent

Hence:

tan( 17 ) = x/14

x = tan( 17 ) × 14

x = 4.3mm

B)

angle Z = 82 degree

Adjacent to angle Z = 43.1 m

Hypotenuse = x

Using trigonometric ratio,

cosine = adjacent / hypotenuse

cos( 82 ) = 43.1 / x

x = 43.1 / cos( 82 )

x = 309.7 m

Therefore, the measure of x is 309.7 meters.

Learn more about trigonometric ratio here: brainly.com/question/28016662

#SPJ1

Answer:

d

Step-by-step explanation: