In a class of 30 students, 60% like math. How many students: Do not like math?

[tex]\\(1).\\\\(1.7898)^{2x} = (1.7898)^6\\\\\implies \ln(1.7898)^{2x} = \ln(1.7898)^6\\\\\implies 2x \ln(1.7898) = 6 \ln(1.7898)\\\\\implies 2x =6\\\\\implies x = \dfrac 62 =3\\\\(3).\\\\2^{5x -6} = 4^{x+9}\\\\\implies 2^{5x -6} = (2^2)^{x+9}\\\\\implies 2^{5x-6} = 2^{2x+18}\\\\\implies \ln(2^{5x-6}) = \ln(2^{2x+18})\\\\\implies (5x -6) \ln 2 = (2x +18) \ln 2\\\\\implies 5x -6 = 2x +18\\\\\implies 5x -2x = 18 +6\\\\\implies 3x = 24\\\\\implies x = \dfrac{24}3 =8[/tex]

Answer:

-2 gallons per minute

Step-by-step explanation:

As we can clearly see, the water is continuously decreasing every 15 minutes by 30 gallons.

So, the rate of change is -30 gallons per 15 minutes

However, we can simplify this ratio by dividing both sides by 15, so we get

-2 gallons per minute

Answer:

e, 1/12

Step-by-step explanation:

1) turn the first fraction into a whole number, the closest whole number being 1.

what did you multiply 1/2 by to get 1? the answer would be 2.

whatever you do to oneside, do to the other. when you multiply 6 by 2, you get twelve.

therefore, the answer is 1/12

Answer:

t^7

Step-by-step explanation:

there are 7 ts so it is t to the power of 7

Answer:

answer A is the correct option.

Step-by-step explanation:

The triangles ( A ) are congruent by AAS theorem

Transformations change the size or position of shapes. Congruent shapes are identical, but may be reflected, rotated or translated. Scale factors can increase or decrease the size of a shape. Congruent Triangles simply mean the triangles that possess the same size and shape

The three sides are equal (SSS: side, side, side)

Two angles are the same and a corresponding side is the same (ASA: angle, side, angle)

Two sides are equal and the angle between the two sides is equal (SAS: side, angle, side)

A right angle, the hypotenuse and a corresponding side are equal (RHS, right angle, hypotenuse, side)

Given data ,

Let the first triangle be represented as ΔABC

Let the second triangle be represented as ΔABD

Now , AB is the common side of both the triangles

And , measure of ∠ACB = measure of ∠ADB

And , the measure of ∠ABC = measure of ∠ABD = 90°

So , Two angles are the same and a corresponding side is the same (ASA: angle, side, angle)

Hence , the triangles are congruent

To learn more about congruent triangles click :

https://brainly.com/question/26131452

#SPJ5

Answer:

14 and 37

Step-by-step explanation:

[tex]x-y =23\\xy=518[/tex]

x= mother's age

y= Monique's Age

[tex]y=\frac{518}{x}[/tex]

[tex]x=23+y[/tex]

[tex](23+y)y=518[/tex]

[tex]23y+y^{2} =518[/tex]

[tex]y^{2} +23y-518=0[/tex]

[tex](y-14)(y+37)=0[/tex]

[tex]y=14[/tex]  monica is 14 years old

The mother: [tex]x-y=23\\x-14=23\\x=23+14 = 37[/tex]

Hope this helps

-1-1 or 2-4 or 3-5 or 6-8 or 7-9 or 8-10

Answer:−2.3d+4.1h−13

Step-by-step explanation:

Answer:

[tex]f(-3)\approx0.35[/tex]

Step-by-step explanation:

[tex]f(x)=7e^x[/tex]

[tex]f(-3)=7e^{-3}\approx0.35[/tex]

Answer:

Step-by-step explanation:

1/5 (2x - 10) + 4x = -3(1/5x + 4)

a bit ambiguous, I'll ASSUME you mean

1/5 (2x - 10) + 4x = -3(x/5 + 4)

     2x/5 - 2 + 4x = -3x/5 - 12

                      5x = -10

                      x = -2

My answer being one of your options makes me think my assumption was correct.

Answer:

Hey will you marry me? serious question

Answer:

h(x) = |x + 4| - 2

Step-by-step explanation:

Translation of functions:

- 4 on the x-axis ⇒ |x + 4|

- 2 on the y-axis ⇒ -2

Answer:

C.

Step-by-step explanation:

You're trying to figure out how many more hours he needs to work in order to have worked for 240 hours.

Answer:

D

Step-by-step explanation:

I think you meant to put the answers as a fraction

Answer:

if there were slashes in between every answer, the answer would be

D. 2/3

Step-by-step explanation:

m = y2-y1 / x2-x1  (slope formula)   ⋅the two points i used were: (0,-3) and (3,-1)

m = -1-(-3) / 3-0 (plug in the points)

m = -1+3 / 3-0

m = 2/3 (Simplify to get your answer)

Answer:

OK okokokokokokokokokokokok

Answer: The angle is a acute angle not obtuse angle.

Step-by-step explanation:

Answer:

29.4118%

Step-by-step explanation

510 * x = 150

x = .2941176

multiply by 100 to get percent

29.4118

Answer:

y=24

Step-by-step explanation:

Answer: 3 times (18+ 2) - 100

3 (18+2) - 100 = -40

Step-by-step explanation:

Answer: The cost per ticket is $12.

Step-by-step explanation:

Answer:

  f) Not possible

Step-by-step explanation:

The triangles can be shown to be similar by SAS, but the corresponding sides are not marked as congruent. With the given information, it is not possible to show the triangles are congruent.

Step-by-step explanation:

as just answered in the other question, the y-intercept is simply the y-value, when x=0.

it is -5 for function 1.

and function 2 clearly crosses the y-axis at y = -7, which is the y-intercept.

as -5 is greater than -7, function 1 had the greater y- intercept.

Answer:

idioet.

Step-by-step explanation:

3,400 at 10%

600 at 15%

This is the answer.

Answer:

160

Step-by-step explanation:

32×5 is 60 hope that helps

Answer: 160

Step-by-step explanation: The questions says that there are 144 which make up 90% of the total group.

What is the other 10%? To figure this out, we can set up a proportion which we can do in the following way:

144/t = 90/100

From here, you can cross multiply 144 x 100 = 14,400

90t = 14,400

t= 160

You can always check by plugging 160 into t to make sure the proportion is equal. I picked t as my varriable of choice which stands for team members. But you can pick an varriable (letter) to find an unknown.

In practice, is best that your child uses a calculator because in the real world, its a practical handy tool and one doesn't have time to memorize every detail by doing that long division. Once your child gets the hang of practicing setting up proportions, your child can solve a variety of problems without going back in circles.

Hope this explanation helps. Best of luck to you and your child.

[tex]\dfrac23 (3x +14) =7x+6\\\\\\\implies 3\left[\dfrac 23 (3x+14) \right] = 3(7x+6)\\\\\\\implies 2(3x+14) = 21x +18\\\\\implies 6x + 28 =21x +18\\\\\implies 21x -6x = 28-18\\\\\implies 15x = 10\\\\\implies x = \dfrac{10}{15} = \dfrac 23[/tex]

Answer:

x+3/5=2

or,x+0.6=2

or,x=2-0.6

x=1.4