Convert to exponential form
log(5x)(2x-4)=3x+2

Answer:

b

Step-by-step explanation:

Answer:

2g - 5 = 1/2(m) + 6

Step-by-step explanation:

Let Garrett's age be g and Mary's m. Hint: "is" in these type of word problems will typically be the equation's "=" sign.

2g - 5 = 1/2(m) + 6

Answer:

The answer is 12 feet. .

Step-by-step explanation:

You have to multiply 3/4 or 0.75 by the number of tiles. So you would go, 0.75 x 10 and then 0.75 x 6 and add the answers together.

Answer:

C is the answer

Step-by-step explanation:

Answer:

44cm

Step-by-step explanation:

Answer:

44 cm

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

all angles of a triangle adds up to 180

90 + 25 + (3x+11) = 180

3x + 11 = 65

3x = 54

x = 18

Answer:

x= 18

90+25= 115

115-180= 65

65-11=54

54/3=18

Step-by-step explanation:

:)

Answer:

Im not entirely sure but i think that either a or d is correct

Step-by-step explanation:

hope this helps!

Answer:

Los números son: 13, 14, y 15.

Step-by-step explanation:

Un número de dos cifras puede escribirse como:

a*10 + b

Donde a y b son números entre 0 y 9.

3 números consecutivos entonces se escribe como:

a*10 + b

a*10 + b + 1

a*10 + b + 2

El producto de esos 3 números será:

(a*10 + b)*(a*10 + b + 1)*(a*10 + b + 2) = 2,730, pero sabemos que hay 20 corredores, entonces el máximo número de dos cifras posibles es 20.

Esto nos obliga a tomar a = 1  (porque si a fuera igual a dos, tendríamos números mayores a 20)

Entonces la ecuación es:

(1*10 + b)*(1*10 + b + 1)*(1*10 + b + 2) = 2,730

(10 + b)*(11 + b)*(12 + b) = 2,730

(110 + 21b + b^2)*(12 +b) = 2,730

1,320 + 110*b + 252*b + 21*b^2 + 12*b^2 + b^3 = 2,730

b^3 + 33*b^2 + 362*b + 1,320 - 2,730 = 0

b^3 + 33*b^2 + 362*b - 1,410 = 0

Ahora, sabemos que b tiene que ser un número entero entre 0 y 9, entonces simplemente podemos ir probando con distintos valores de b y ver cuál es solución de esa ecuación.

b = 0

0^3 + 33*0^2 + 362*0 - 1,410 = 0

-1,410 = 0  

b = 0 no es una solución.

b = 1

1^3 + 33*1^2 + 362*1 - 1,410 = 0

-1,014 = 0

b = 1 no es una solución.

b = 2

2^3 + 33*2^2 + 362*2 - 1,410 = 0

-546 = 0

b = 2 no es una solución

b = 3

3^3 + 33*3^2 + 362*3 - 1,410 = 0

27 + 297 + 1,086 - 1,410 = 0

0 = 0

b = 3 es una solución.

Entonces los 3 números consecutivos son:

10 + 3 = 13

10 + 3 + 1 = 14

10 + 3 + 2 = 15

Answer:

B

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = 3 , then

y = 3x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation.

Using (4, 10 ) , then

10 = 12 + c ⇒ c = 10 - 12 = - 2 → B

D

Given m = 4 then

y = 4x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (3, 19 ), then

19 = 12 + c ⇒ c = 19 - 12 = 7 → D

Answer: There are 24336000 different codes that are possible.

Step-by-step explanation:

We know that,

Total alphabets = 26

Total digits = 10

Choices for First place = 26+10=36

Choices for next 3 places = 10 x 10 x 10 = 1000

Choices for last 2 places = 26 x 26 = 676

Total different codes are possible = 36 x 1000 x 676

=24336000

Hence, there are 24336000 different codes that are possible.

Answer:

false

Step-by-step explanation:

solid A surface area-112

solid B surface area-136

to find the surface area of a rectangular prism the equation is  2(lw + lh + wh)

Solid A  4*8+4*2+8*2

32+8+16

56*2=112

Solid B 2*2+2*16+2*16

4+32+32

68*2=136

Answer:

Pascal triangle is infinite, and the answer to this question is the 1,9,6,84,126,126,84,36,9,1

Step-by-step explanation:

in the pascal triangle the first row start with 0.

Answer:

Step-by-step explanation:

10^8

it means multiply 10 8 times so

10*10*10*10*10*10*10*10

=100000000

Answer:

The answer is 9^1 or simply 9.

Answer:

The Answer is 14 feet. your answer

Answer:

Step-by-step explanation:

Answer: the first one

Step-by-step explanation:

(x,y)->(4x, 4y)

Answer: Hope this helps!

XYW=48 degrees

X=16

Step-by-step explanation:

So the angles are on a straight line. A straight line is 180 degrees. If you subtract 132 by 180 you get 48. Now to solve for x I divided 48 by 3. And I got 16.  

Step-by-step explanation:

1). m∠ XYW = 180° - 132°

= 48°

2). 3x + 132 = 180°

3x = 180° - 132°

3x = 48°

x = 48/3

x = 16°

Answer:

when a is negative, the parabola opens downward

Step-by-step explanation:

Answer:

I am sorry I dont no

Answer:

See Below.

Step-by-step explanation:

Problem 1)

We want to verify that:

[tex]\displaystyle \left(\cos(x)\right)\left(\cot(x)\right)=\csc(x)-\sin(x)[/tex]

Note that cot(x) = cos(x) / sin(x). Hence:

[tex]\displaystyle \left(\cos(x)\right)\left(\frac{\cos(x)}{\sin(x)}\right)=\csc(x)-\sin(x)[/tex]

Multiply:

[tex]\displaystyle \frac{\cos^2(x)}{\sin(x)}=\csc(x)-\sin(x)[/tex]

Recall that Pythagorean Identity: sin²(x) + cos²(x) = 1 or cos²(x) = 1 - sin²(x). Substitute:

[tex]\displaystyle \frac{1-\sin^2(x)}{\sin(x)}=\csc(x)-\sin(x)[/tex]

Split:

[tex]\displaystyle \frac{1}{\sin(x)}-\frac{\sin^2(x)}{\sin(x)}=\csc(x)-\sin(x)[/tex]

Simplify:

[tex]\csc(x)-\sin(x)=\csc(x)-\sin(x)[/tex]

Problem 2)

We want to verify that:

[tex]\displaystyle (\csc(x)-\cot(x))^2=\frac{1-\cos(x)}{1+\cos(x)}[/tex]

Square:

[tex]\displaystyle \csc^2(x)-2\csc(x)\cot(x)+\cot^2(x)=\frac{1-\cos(x)}{1+\cos(x)}[/tex]

Convert csc(x) to 1 / sin(x) and cot(x) to cos(x) / sin(x). Thus:

[tex]\displaystyle \frac{1}{\sin^2(x)}-\frac{2\cos(x)}{\sin^2(x)}+\frac{\cos^2(x)}{\sin^2(x)}=\frac{1-\cos(x)}{1+\cos(x)}[/tex]

Factor out the sin²(x) from the denominator:

[tex]\displaystyle \frac{1}{\sin^2(x)}\left(1-2\cos(x)+\cos^2(x)\right)=\frac{1-\cos(x)}{1+\cos(x)}[/tex]

Factor (perfect square trinomial):

[tex]\displaystyle \frac{1}{\sin^2(x)}\left((\cos(x)-1)^2\right)=\frac{1-\cos(x)}{1+\cos(x)}[/tex]

Using the Pythagorean Identity, we know that sin²(x) = 1 - cos²(x). Hence:

[tex]\displaystyle \frac{(\cos(x)-1)^2}{1-\cos^2(x)}=\frac{1-\cos(x)}{1+\cos(x)}[/tex]

Factor (difference of two squares):

[tex]\displaystyle \frac{(\cos(x)-1)^2}{(1-\cos(x))(1+\cos(x))}=\frac{1-\cos(x)}{1+\cos(x)}[/tex]

Factor out a negative from the first factor in the denominator:

[tex]\displaystyle \frac{(\cos(x)-1)^2}{-(\cos(x)-1)(1+\cos(x))}=\frac{1-\cos(x)}{1+\cos(x)}[/tex]

Cancel:

[tex]\displaystyle \frac{\cos(x)-1}{-(1+\cos(x))}=\frac{1-\cos(x)}{1+\cos(x)}[/tex]

Distribute the negative into the numerator. Therefore:

[tex]\displaystyle \frac{1-\cos(x)}{1+\cos(x)}=\displaystyle \frac{1-\cos(x)}{1+\cos(x)}[/tex]

Answer:

Rectangular route

Step-by-step explanation:

Given

H(-4, 3)    B (2, 11)   F (6, 8)   C (0, 0)

Required

The type of route

First, calculate the distance between adjacent points i.e. HB, BF, FC and CH

Where

HB and FC are opposite

BF and CH are opposite

Using distance formula:

[tex]d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}[/tex]

So, we have:

HB

[tex]H =(-4, 3) \to (x_1,y_1)[/tex]

[tex]B = (2, 11) \to (x_2,y_2)[/tex]

[tex]HB = \sqrt{(-4- 2)^2 + (3 -11)^2}= \sqrt{(-6)^2 + (-8)^2} = \sqrt{36 + 64} = \sqrt{100} = 10[/tex]

BF

[tex]B = (2, 11) \to (x_1,y_1)[/tex]

[tex]F = (6, 8) \to (x_2,y_2)[/tex]

[tex]BF = \sqrt{(2- 6)^2 + (11 -8)^2}= \sqrt{(-4)^2 + (3)^2} = \sqrt{16 + 9} = \sqrt{25} = 5[/tex]

FC

[tex]F = (6, 8) \to (x_1,y_1)[/tex]

[tex]C =(0, 0) \to (x_2,y_2)[/tex]

[tex]FC = \sqrt{(6- 0)^2 + (8 -0)^2}= \sqrt{(6)^2 + (8)^2} = \sqrt{36 + 64} = \sqrt{100} = 10[/tex]

CH

[tex]C =(0, 0) \to (x_1,y_1)[/tex]

[tex]H =(-4, 3) \to (x_2,y_2)[/tex]

[tex]CH = \sqrt{(0-- 4)^2 + (0 -3)^2}= \sqrt{(4)^2 + (-3)^2} = \sqrt{16 + 9} = \sqrt{25} = 5[/tex]

So, we have:

[tex]HB = FC = 10[/tex]

[tex]BF = CF = 5[/tex]

Sine the opposite sides are equal; We can conclude that the route is a rectangle

Answer:

33.33 percent or 2:4

Step-by-step explanation:

Answer: The answer is C

Step-by-step explanation:

The reason is because if you make a line in between it would be symetrical (up, down, left, right).

Answer:

C, I got it right

Step-by-step explanation:

The two major types of series are the arithmetic series and the geometric series. The arithmetic series is characterized by common difference, while the geometric series has common ratio between two successive terms.

The sum of the given series is:

[tex]\lim_{n \to \infty} \frac{1}{3}(1 - \frac{1}{4}^n )[/tex]

The given series is a geometric series. So, we first calculate the common ratio (r) using:

[tex]r = T_2 \div T_1[/tex]

From the series, we have:

[tex]T_1 = \frac{1}{4}[/tex]

[tex]T_2 = \frac{1}{16}[/tex]

So, the equation becomes

[tex]r = \frac{1}{16} \div \frac{1}{4}[/tex]

Rewrite as product

[tex]r = \frac{1}{16} * \frac{4}{1}[/tex]

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

The formula to calculate the sum of a geometric series of is:

[tex]S_n = \frac{a(1 - r^n )}{1-r}[/tex]

Where

[tex]a = T_1 =\frac{1}{4}[/tex] -- the first term

[tex]S_n = \frac{\frac{1}{4}(1 - \frac{1}{4}^n )}{1-\frac{1}{4}}[/tex]

Simplify the denominator

[tex]S_n = \frac{\frac{1}{4}(1 - \frac{1}{4}^n )}{\frac{3}{4}}[/tex]

Divide 1/4 by 3/4

[tex]S_n = \frac{1}{3}(1 - \frac{1}{4}^n )[/tex]

We can conclude that, the sum of the series is:

[tex]S_n = \lim_{n \to \infty} \frac{1}{3}(1 - \frac{1}{4}^n )[/tex]

Read more at:

https://brainly.com/question/21087466

Answer:

See attachment for plot

Step-by-step explanation:

Given

[tex]t = (-1,2.5)[/tex] ---- coordinates of t

s = 5 units to the right of t

Required

Plot s

First, we determine the coordinate of s

The rule to translate a point to the right is:

[tex](x,y) \to (x + h,y)[/tex]

Where h is the number of units

i.e.

[tex]h= 5[/tex]

So, we have:

[tex]s = (-1 + 5, 2.5)[/tex]

[tex]s = (4, 2.5)[/tex]

See attachment for plot

Answer:

13) non-regular pentagon (5-sides, all sides not equal)

14) regular hexagon (6-sides, all appear to be equal)

15) two pair of parallel sides without right angles is a parallelogram

16) two pair of parallel sides with four right angles is a rectangle; if all sides are equal then it is a square

Step-by-step explanation:

Answer:  Graph D (bottom right corner)

======================================================

Explanation:

The equation y = 3x+3 is in slope intercept form y = mx+b

m = 3 = slope

b = 3 = y intercept

In this case, both the slope and y intercept are the same (though in general they tend not to be).

The positive slope value means the line goes uphill as you move from left to right. The positive y intercept means the diagonal line crosses the y axis somewhere above the horizontal x axis. Specifically, it crosses the y axis at y = 3

Graph D is the only graph that has such a line on it. Graphs A, B and C have the positive slope line where they have a negative y intercept, so we can rule them out.

You can use graphing tools such as Desmos or Geogebra to help confirm this answer. You could also make a table of values, and plot each point, to form the lines. Two points is the minimum amount needed to form any line.

Answer:

Step-by-step explanation:

Answer:

See picture attached below.

Step-by-step explanation:

To graph the system, graph each line separately.

y = 3x + 3 ha slope 3 and y-intercept 3.

Start at 3 on the y-axis and mark a point. Then from this point move up 3 units and to the right 1 unit. Mark a point and connect.

y=-x - 3 has slope -1 and y-intercept -3.

Start at -3 on the y-axis and mark a point. Then from this point move down 1 unit and to the right 1 unit. Mark a point and connect.

This graph is represented in the picture attached.

...............................................................................................................................................

Which graph represents the following system of equations?

y = 3x + 3

y = –x – 3

...............................................................................................................................................

y=x−8

​y=12x−5​

...............................................................................................................................................

Graph of 2 lines that intersect at one point. Both lines are solid. One line passes through (-2,2) and (0,3) and is shaded below the line.

y < = 1/2x + 3...(-2,2)                y < = 1/2x + 3....(0,3)

2 < = 1/2(-2) + 3                        3 < = 1/2(0) + 3

2 < = -1 + 3                                3 < = 0 + 3

2 < = 2 (correct)                        3 < = 3 (correct)

The other line passes through points (0,1) and (1,-2) and is shaded above the line.

y > = -3x + 1...(0,1)            y > = -3x + 1...(1,-2)

1 > = -3(0) + 1                   -2 > = -3(1) + 1

1 > = 0 + 1                         -2 > = -3 + 1

1 > = 1 (correct)                 -2 > = -2 (correct)

...............................................................................................................................................

we have

using a graph tool

see the attached figure

The solution of the system is the shaded area

we know that

The line is solid

The line passes through points  and  and is shaded above the line.

The line is solid

The line passes through points  and  and is shaded below the line

The two lines intersect at one point

therefore

the answer is the option

B) Graph of two lines that intersect at one point. Both lines are solid. One line passes through points negative 2, 2 and 0, 3 and is shaded below the line. The other line passes through points 0, 1 and 1, negative 2 and is shaded above the line.

Answer:

(-1,-2)

Step-by-step explanation:

The given coordinates are ,

Midpoint can be calculated by finding the mean of x coordinates and y coordinates . As ,

→ Midpoint = ( 4-2/2 , 10-6/2)

→ Midpoint = ( -2/2 , -4/2 )

→ Midpoint = ( - 1 , -2)