Mike is working on solving the exponential equation 37x = 12; however, he is not quite sure where to start. Using complete sentences, describe to Mike how to solve this equation.

Use the change of base formula: log base b of y equals log y over log b.

Area

= 3 cm

[tex] \frac{1}{2} BH = 7,5 \\ \\ (\frac{1}{2} \times5)H=7,5 \\ \\ 2,5H = 7,5 \\ \\ H=7,5 \div 2,5 \\ H=3 \: cm[/tex]

Answer:

Pls can u type it out ur self so I can help u out

Answer:

136

Step-by-step explanation:

simple as you can remember, the area of a parallelgram has the exact formula as the rectangle,

lw = a.

This brings us to 8 × 17, which is 136.

Answer:

85.2 cm^2

Step-by-step explanation:

two bases' area    2 * 15.6 = 31.2 cm^2

  now add the three sides....they are all the same size

      three  X  6 x 3   = 54 cm^2

summed = 85.2 cm^2

Answer:

1) (Un) is a geometric sequence.

2) Un+1 - Un ≤ 0.

3) (Un) is decreasing.

4) (Un) is convergent.

5) sum = 155

Step-by-step explanation:

Un+1 = 0.5Un

U₀ = 80

1) U is a geometric sequence (reason : Un+1 = 0.5Un).

2) Un+1 - Un = 0.5Un - Un = Un×(0.5 - 1) = -0.5Un ≤ 0 (because Un ≥ 0).

Remark: use Mathematical induction to prove that Un ≥ 0

3) Un+1 - Un  ≤ 0

then

Un+1 ≤ Un  

then

the sequence U is decreasing.

4) U is decreasing and Un ≥ 0

Then U is convergent.

5)  Since U is geometric sequence with first term U0 = 80 and common ratio = 0.5 .

Important: review the sum of consecutive terms of a geometric sequence.

Then

[tex]U_0+ U_1+ U_2+ U_3+ U_4=U_{0}\times \frac{1-\left( 0.5\right)^{5} }{1-0.5}=160\times(1-\left( 0.5\right)^{5} )=155[/tex]

Answer:

x = -24

Please mark brainliest :)

Answer

-24

Step-by-step explanation:

Answer: One solution

Step-by-step explanation:

6x-2=3x+7

3x-9

x=3

Answer:

B. -6

Step-by-step explanation:

You know immediately that it will be negative, because the temp is going down.

To find the exact answer, start by finding the difference between the two temps

82-46 = 36

since its a six day period, divide 36 by 6

36/6 = 6

so, the answer is -6

Answer:

a) Time spent, x (minute): 50 < x ≤ 60

b) Time spent, x (minute): 20 < x ≤ 30

Step-by-step explanation:

a) The modal class is the class interval with the highest frequency in a frequency table which is 21 (right column)

b) Find the total amount of Frequency:

12 + 18 + 11 + 9 + 8 + 21 = 79

to find mid number through the data set divided by 2:

79 / 2 = 39.5

so add up the frequency till you reach 39.5 (max)

12 + 18 = 30

30 + 11 = 41   this passes through 39.5 so the median is in the 3rd row

Answer:

(2n-1)(n-5)

Step-by-step explanation:

2n2-11n+5

2n2-10n-1n+5

(factorize)

2n(n-5)-1(n-5)

(2n-1)(n-5)

Answer:

$227,373.3

Step-by-step explanation:

85% of 38,214 is 32,481.9

If 32,481.9 will spend at least $7.00 on food that will give us $227,373.3

Answer:

I hope this answer is correct

[tex] \qquad \qquad \qquad \frac{1}{x} + \frac{3}{x } = 16[/tex]

This is how to solve your problem:

[tex] \qquad \qquad \frac{1}{x} + \frac{3}{x} = 16[/tex]

[tex] \qquad \qquad \frac{1 + 3}{ x} = 16[/tex]

[tex] \qquad \qquad \qquad\frac{1 + 3}{x} = 16[/tex]

[tex] \qquad \qquad\frac{4}{x} = 16 [/tex]

[tex] \qquad \qquad \qquad \color{skyblue}{ \frac{4}{x} = 16}[/tex]

[tex] \qquad \qquad \qquad \color{gold}{x .\frac{4}{x} = x.16}[/tex]

[tex] \qquad \qquad \: x.\frac{4}{x} = x.16 [/tex]

[tex] \qquad \qquad 4 = x.16[/tex]

[tex] \qquad \qquad4 = x.16[/tex]

[tex] \qquad \qquad 4 = 16x[/tex]

[tex] \qquad \qquad4 = 16x[/tex]

[tex] \qquad \qquad\frac{4}{16} = \frac{16x}{16} [/tex]

[tex] \qquad \qquad x = \frac{1}{4} [/tex]

the final answer is :

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

Solid is a substance that can be measured. The required volume of a solid is 90 cubic cm

The formula for calculating the volume of a solid ie expressed as:

V = lwh

l is the length

w is the width

h is the height

For the given figure;

Volume =  (11 * 2 * 3) + (2 * 3 * 4)
Volume = 66 + 24
Volume = 90 square cm

The required volume of a solid is 90 cubic cm

Learn more on volume of solid here: https://brainly.com/question/21036176

#SPJ1

The time that the projectile will reach a height of 96 ft and return to the ground will be 6 seconds.

It is the study of the motion of a body without considering mass. And the reason behind them is neglected.

The projectile will reach a height of 96 ft and return to the ground when v₀ = 112 feet per second

The time it takes to reach feet and return to the ground will be

T = 2v₀  /  g

Where g = 32.2 feet per square second.

Then we have

T = 2 x 112 / 32.2

T = 5.956

T ≅ 6 seconds

More about the kinematics link is given below.

https://brainly.com/question/25638908

#SPJ1

Answer:

11

Step-by-step explanation:

2 dozen = 24

24-10=14

14-3=11

Answer:

11

Step-by-step explanation:

two dozens is 24 because one dozen is 12. 24-10=14-3=11

Answer:

D. Overpopulation

Step-by-step explanation:

Overpopulation is the number of a people in an area exceeds the capacity of the environment to support life at a decent standard of living. When there is a population exceeding the amounts of resources that are provided, it can cause issues as there are nonrenewable resources meaning that there is limited resources for everyone. This is bad as it can become a crisis.

The perimeter of the rectangle is 28 feet. Then Sulio needs 28 feet of fencing.

For a rectangle with length and width L and W units, we get:

Perimeter of the rectangle = 2(L + W) units

Sulio wants to build a wooden fence to enclose his vegetable garden. Determine the amount of fencing he needs by finding the perimeter of the garden.

The length of a garden is 8 feet and the width is 6 feet.

Then the perimeter of the rectangle will be

Perimeter = 2 (8 + 6)

Perimeter = 2 x 14

Perimeter = 28 feet

More about the perimeter of the rectangle link is given below.

https://brainly.com/question/15287805

#SPJ1

Answer:

Look at this image.

Step-by-step explanation:

A, B, C, D. I am intelligent

Answer: C

Step-by-step explanation:

The minimum is the line furthest to the left, and they are both lined up. The median, the line inside the box, is on 12. The third quartile, the edge of the box on the right hand side, are the same for both graphs. However, test 1 has a lower first quartile, the edge of the box on the right hand side, than test 2.

Answer:

Option C: 9³

Step-by-step explanation:

9 * 9 = 81

( 9 + 9 + 9 + 9 + 9 + 9 + 9 + 9 +9 )

81 * 9 = 729

( 81 + 81 + 81 + 81 + 81 + 81 + 81 + 81 + 81)

Step-by-step explanation:

1km=1000m

2km=2×1000m

2km=2000m

Answer:

[tex]P(\text{Male}|\text{Divorced})\approx0.092[/tex]

Step-by-step explanation:

[tex]\displaystyle P(\text{Male}|\text{Divorced})=\frac{P(\text{Male and Divorced})}{P(\text{Male})}=\frac{\frac{9.6}{214.7}}{\frac{104.5}{214.7}}\approx0.092[/tex]

We can even break this down further by simply only looking at the total amount of males, and finding the proportion of males that are divorced, which is [tex]\frac{9.6}{104.5}\approx0.092[/tex], the same value.

Note that P(Male | Divorced) means the probability of choosing a male, given (|) that person is divorced.

Answer:

Find the interest. Formula interest = PRT Principal x rate x time

910.00 x 1.75% x 1 =

910.00 x 0.0175 x 1 =

15.93 is the interest.

Step-by-step explanation:

The next step of the valid proof is that AE = CE because of the perpendicular bisector theorem.

The perpendicular bisector theorem states that any point on the perpendicular bisector is equidistant from the endpoints of the line segment on which it is drawn.

In this case, Julia is using this figure to prove that triangle ABC is an isosceles triangle. After the steps given, the next step will be to indicate that AE = CE because of the perpendicular bisector theorem.

Learn more about theorem on:

https://brainly.com/question/343682

#SPJ1

Answer:

AC = BC  because of the perpendicular bisector theorem

Step-by-step explanation:

I got it right on the test

Answer:

Area = 28 cm^2

Step-by-step explanation:

Triangle Area = 1/2 * 5 * 4 = 10 cm^2

Big Rectangle = 4 * 3 = 12 cm^2

Small Rectangle = 4 * 1.5 = 6 cm^2

Total Area = 10 + 12 + 6 = 28 cm^2

Answer:

Step-by-step explanation:

Discussion

Area of the Triangle

3 4 5 is the first triangle most people encounter when they begin their study of the Pythagorean Theorem. You can show this to be true by trying it.

c = 5

b = 3

a = 4

c^2 = a^2 + b^2           Equation  Substitute values

c^2 = 3^2 + 4^2           Expand

c^2 = 9 + 16                 Combine

c^2 = 25                       Take the square root of both sides.

√c^2 = √25

c = 5                     Which is exactly what you are given.

A right triangle has the property of Area = 1/2 * a * b using the values given above.

Find the area of the triangle

Area = 1/2 a * b                          

Area = 1/2 3 * 4                                                    

Area =                                                               6

Find the area of the rectangle

L = 3 + 1.5 =4.5                        Just add the two parts of the vertical line together.

w = 8 - 4 = 4

Area of the rectangle = L * w   Substitute values

Area of the rectangle = 4.5 * 4

Area of the rectangle =                                18         Add

Total area                                                      24

Answer

24 cm^2

Answer:

10πcm

Step-by-step explanation:

radius of the circle= 5cm

circumference of a circle has the formular

= 2πr

= 2×π×5

then In terms of pi

= 10πcm

Step-by-step explanation:

the perimeter is the sum of the 4 individual sides.

if the sides are doubled, so is the sum of them.

therefore, the new perimeter is then

12×2 = 24 cm