solving exponential equations 5^x-1 = 125

Answer:

The answer is "bulb, expands, and glass ".

Step-by-step explanation:

The bulb thermometer is the common glass temperature sensor for which you might be grown up. This thermometer is filled with a liquid, typically mercury. Bulb thermometers work on the simple premise that it volume of the liquid varies in proportion to its volume.

It is a glass tube that is pre full with a fluid such as a hydrogen or liquor and is sealed at both sides. The fluid in the glass tube rises as the mercury inside the thermometer's bulb increases. When the temperature gauge is warm, the liquid inside flows up in the tube.

Answer:

See below (Siéntete libre de traducir al inglés)

Step-by-step explanation:

Given the parabolic equation is in the form of (y-k)²=4p(x-h), this is a horizontal parabola with a vertical directrix at x=h-p where (h,k) is the vertex and the focus is (h+p,k). Since p=2, then the directrix is x=3-2=1. The vertex would be (h+p,k) -> (3+2,2) -> (5,2). Refer to the graph.

Answer:

77

Step-by-step explanation:

mean is also known as the average

to find the average you add up every data point and divide by number of data points.

74 + 75 + 80 + 76 + 75 + 81 + 78 = 539

539 / 7 = 77

Answer: 49 in^2

Step-by-step explanation:

Trapezoid area formula = (a+b/2) x h

So...

(5+9/2) x 7

= 49 in^2

[tex] \huge \boxed {\longmapsto\mathcal {\purple {Answer}}}[/tex]

Area of trapezoid :

[tex] \boxed{ \frac{1}{2} \times sum \: of \: parallel \: sides \times height }[/tex]

=》

[tex] \boxed {\frac{1}{2} \times (9 + 5) \times 7}[/tex]

=》

[tex] \boxed {\frac{1}{2} \times 14 \times 7}[/tex]

=》

[tex]\boxed{7 \times 7}[/tex]

=》

[tex]\boxed{49}[/tex]

[tex] \boxed {\mathfrak{area = 49 \:in {}^{2} }}[/tex]

Answer:

least number 19 added to get perfect square of 37 (37²)

Step-by-step explanation:

1350+19=1369

√1369 = 37

Answer: Choice C

We can rotate the figure 180 degrees so that it lines up with its original image perfectly. In other words, the before and after would be identical images.

The rotational symmetry of a form explains why an item has the same shape when rotated on its own axis. The correct option is C.

The rotational symmetry of a form explains why an item has the same shape when rotated on its own axis. When turned 180 degrees or with specific angles, clockwise or anticlockwise, many geometrical forms appear to be symmetrical. Examples include squares, circles, hexagons, and more.

The shape that has a rotational symmetry is option C, which is a parallelogram.

Hence, the correct option is C.

Learn more about Rotational Symmetry:

https://brainly.com/question/1531736

#SPJ2

Answer:

1029

Step-by-step explanation:

Answer:

C(x,y) = (-28,13)

Step-by-step explanation:

If co-ordinates of points A(x1,y1) and (x2,y2) and C is the external point that divides the line AB in ratio m:n then,

[tex]C (x,y) = \frac{mx_2-nx_1}{m-n} , \frac{my_2-ny_1}{m-n}[/tex]

Given: A (-6, 3) & B (5, -2) in ratio 2 : 3

Substituting these values in above formula to C(x,y)

C (x,y) = \frac{2\times5-3(-6)}{2-3} , \frac{2(-2)-3(3)}{2-3}

Solving we get

C(x,y) = (-28,13)

Answer: 16

Step-by-step explanation:

Answer:

c = 5

Step-by-step explanation:

4c - 12 = 8

add 12 to each side to get:

4c = 20

divide each side by 4 to get:

c = 20/4 which is 5

Answer:

Step-by-step explanation:

The first one

Answer:

c= 1/ 90  f

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Answer:

D. x = 11/c

Step-by-step explanation:

you add 4 to both sides so you can make the x by itself.

we are left with cx = 11

you divide c to both sides

Final Answer: x = 11/c

Answer:

here i hope this help im not sure if a can find the exact answer your looking for but here is a formula

20

Step-by-step explanation:

i belive

Answer:

sides are of 16 in

Step-by-step explanation:

here's your solution

==> area of square = 256 in^2. [given]

==> side of square = 4x

==> area of square= side^2

==> 4x^2 = 256

==> 16x^2 = 256

==> x^2 = 256/16

==> x^2 = 16

==> x = √16

==> x = 4

==> x = 4

hence sides are of 16 in

Hope it helps

Answer:

Yes two sets of data have the same mean but not the same variance

T^2 7 T X^4 I think. Does that help?

Answer:

the hourly rates are $8 and $10 respectively

Step-by-step explanation:

Given that

The generator rents for 6 hours and the total cost is $48

And, for another job The generator rents for 4 hours and the total cost is $40

We need to find out the hourly rates

For the first one

= $48 ÷ 6 hours

= $8

For the second one

= $40 ÷ 4 hours

= $10

Hence, the hourly rates are $8 and $10 respectively

A sequence can be arithmetic, geometric, and it can take several other forms such as Fibonacci.

The given parameters are;

[tex]\mathbf{f(n) = f(n-1)-f(n-2)}[/tex]

[tex]\mathbf{f(1) = 2 }[/tex]

[tex]\mathbf{f(2) = 5 }[/tex]

Calculate f(3), f(4), f(5), f(6), f(7), and f(8).

Substitute 3 for n in [tex]\mathbf{f(n) = f(n-1)-f(n-2)}[/tex]

[tex]\mathbf{f(3) = f(3-1)-f(3-2)}[/tex]

[tex]\mathbf{f(3) = f(2)-f(1)}[/tex]

[tex]\mathbf{f(3) = 5-2}[/tex]

[tex]\mathbf{f(3) = 3}[/tex]

Following the above sequence, we have:

[tex]\mathbf{f(4) = f(3)-f(2)}[/tex]

[tex]\mathbf{f(4) = 3-5}[/tex]

[tex]\mathbf{f(4) = -2}[/tex]

[tex]\mathbf{f(5) = f(4)-f(3)}[/tex]

[tex]\mathbf{f(5) =-2- 3}[/tex]

[tex]\mathbf{f(5) = -5}[/tex]

[tex]\mathbf{f(6) = f(5)-f(4)}[/tex]

[tex]\mathbf{f(6) =-5- -2}[/tex]

[tex]\mathbf{f(6) = -3}[/tex]

[tex]\mathbf{f(7) = f(6)-f(5)}[/tex]

[tex]\mathbf{f(7) =-3--5}[/tex]

[tex]\mathbf{f(7) = 2}[/tex]

[tex]\mathbf{f(8) = f(7)-f(6)}[/tex]

[tex]\mathbf{f(8) =2--3}[/tex]

[tex]\mathbf{f(8) = 5}[/tex]

Hence, the values of f(3), f(4), f(5), f(6), f(7), and f(8) are 3, -2, -5, -3, 2, 5

Then, determine the value of f(25). ​

In (1), we have:

[tex]\mathbf{f(3) = 3}[/tex]

[tex]\mathbf{f(4) = -2}[/tex]

[tex]\mathbf{f(5) = -5}[/tex]

[tex]\mathbf{f(6) = -3}[/tex]

[tex]\mathbf{f(7) = 2}[/tex]

[tex]\mathbf{f(8) = 5}[/tex]

This means that:

[tex]\mathbf{f(n) = -f(n-3i)}[/tex]

Where i is greater than 0

Substitute 25 for n

[tex]\mathbf{f(25) = -f(25-3i)}[/tex]

Let i = 7.

So, we have:

[tex]\mathbf{f(25) = -f(25-3 \times 7)}[/tex]

[tex]\mathbf{f(25) = -f(25-21)}[/tex]

[tex]\mathbf{f(25) = -f(4)}[/tex]

So, we have:

[tex]\mathbf{f(25) = -(-2)}[/tex]

[tex]\mathbf{f(25) = 2}[/tex]

Hence, the value of f(25) is 2

Read more about sequence at:

https://brainly.com/question/9859279

Answer:

total amount of students in the class = 24

the amount of boy students in the class = 8

the amount of girl students in the class = ?

a) we know how many boys are in so B=8/24

b) know you calculate the amount of girl students in the class

totally they are 24 students are found we know the boys then the last are girls to know how many girls are in there

24 - 8 = 16 girls.

G=16/24

Answer:

27.2 meters

Step-by-step explanation:

p= L*4

cuz its a square all equal sides so...

2.8+2.8+2.8+2.8=27.2

Answer:

d

Step-by-step explanation:

fewer students are between 44 and 52 inches than between 52 and 60 inches in height

Answer:

80^2 + 150^2

6400 + 22500 = 28,900

Something squared will equal 28,900

170^2 = 28,900

170 is your answer!

The length of the hypotenuse of the right triangle with legs of 80 feet and 150 feet is 170 feet.

To find the length of the hypotenuse of a right triangle, we can use the Pythagorean theorem, which states that in a right triangle, the sum of the squares of the lengths of the legs is equal to the square of the length of the hypotenuse.

In this case, the legs of the triangle have lengths of 80 feet and 150 feet, so we can label them as follows:

Leg 1: a = 80 feet

Leg 2: b = 150 feet

We can then use the Pythagorean theorem to solve for the length of the hypotenuse, which we can label as c:

c² = a² + b²

Substituting in the values for a and b, we get:

c² = (80 feet)² + (150 feet)²

c² = 6,400 square feet + 22,500 square feet

c² = 28,900 square feet

c = √(28,900 square feet)

c = 170 feet

Therefore, the length of the hypotenuse of the right triangle with legs of 80 feet and 150 feet is 170 feet.

Learn more about the Pythagorean theorem here:

https://brainly.com/question/14930619

#SPJ2