Zach keeps his pet chameleon Pinky in a terrarium with the dimensions shown below. There's sand in the bottom of the terrarium that reaches a height of 888 centimeters. Zach gets a new terrarium for Pinky that is larger. The base of the new terrarium is 252525 by 646464 centimeters. Zach moved the existing sand to the new terrarium. How deep will the sand be in the new terrarium? centimeters

9514 1404 393

Answer:

  19. wrong multiplier was used, and used incorrectly; x = -324

  20. wrong multiplier was used, and used incorrectly; y = 5

Step-by-step explanation:

In each case, the equation was multiplied by the coefficient of the variable, instead of divided. In each case, the square of the coefficient was evaluated incorrectly (so the error wasn't noticed).

__

19) As described above.

  (-36)(9) = (x/9)(9)

  -324 = x

__

20) In addition to the errors described above, the variable was changed from y to x.

  15/3 = (3y)/3

  5 = y

Answer: 19 years

Step-by-step explanation:

Given

Amount invested [tex]\$400[/tex]

Rate of interest [tex]R=6\%[/tex]

after 1-year amount becomes

[tex]A=400\left (1+6\%\right)\\A=400\left (1+0.06\right)\\A=400\times 1.06\\A=\$424[/tex]

After n years it is

[tex]A=400\left (1.06\right)^n[/tex]

Sum accumulated is [tex]\$1200[/tex]

[tex]\Rightarrow 1200=400\left(1.06\right)^n\\\Rightarrow 3=\left(1.06\right)^n\\\text{Taking log both sides}\\\Rightarrow n=\dfrac{\ln 3}{\ln 1.06}\\\\\Rightarrow n=18.85\approx 19\ \text{years}[/tex]

Answer:

[tex]\cos(W) = \frac{9}{41}[/tex]

Step-by-step explanation:

Given

[tex]\angle Y = 90^o[/tex]

[tex]YX = 40; XW = 41; WY = 9[/tex]

Required

Determine [tex]\cos(W)[/tex]

The question is illustrated with the attached image.

So:

[tex]\cos(W) = \frac{Adajacent}{Hypotenuse}[/tex]

[tex]\cos(W) = \frac{WY}{XW}[/tex]

This gives:

[tex]\cos(W) = \frac{9}{41}[/tex]

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

The only graph that shows a proper vertical reflection is the one attached. (It also correctly shows the horizontal compression.)

Answer:

It's Y

Step-by-step explanation:

I got it right. Hope this helps.

Answer:

[tex]\displaystyle 3,8 ≈ AC[/tex]

Step-by-step explanation:

[tex]\displaystyle \frac{4}{AC} = csc\:70 \hookrightarrow ACcsc\:70 = 4 \hookrightarrow \frac{4}{csc\:70} = AC \hookrightarrow 3,7587704831... = AC \\ \\ 3,8 \approx AC[/tex]

OR

[tex]\displaystyle \frac{AC}{4} = sin\:70 \hookrightarrow 4sin\:70 = AC \hookrightarrow 3,7587704831... = AC \\ \\ 3,8 \approx AC[/tex]

Information on trigonometric ratios

[tex]\displaystyle \frac{OPPOCITE}{HYPOTENUSE} = sin\:θ \\ \frac{ADJACENT}{HYPOTENUSE} = cos\:θ \\ \frac{OPPOCITE}{ADJACENT} = tan\:θ \\ \frac{HYPOTENUSE}{ADJACENT} = sec\:θ \\ \frac{HYPOTENUSE}{OPPOCITE} = csc\:θ \\ \frac{ADJACENT}{OPPOCITE} = cot\:θ[/tex]

I am joyous to assist you at any time.

Answer:

(5,3)

Step-by-step explanation:

add the equations to eliminate to x's and get 8y=24

divide both sides by 8 to get y=3

then substitute in -2x+3(3)=-1 to solve for x

so x=5 so the solution is (5,3)

Answer:

[tex]x=5 \\y=3[/tex]

Step-by-step explanation:

[tex]-2x+3y=-1\\2x+5y=25[/tex]

Add these equations to eliminate x:

[tex]8y=24[/tex]

Then, solve [tex]8y=24[/tex] for y:

[tex]8y=24[/tex]

[tex]\frac{8y}{8} =\frac{24}{8}[/tex] (divide both sides by 8)

[tex]y=3[/tex]

Now let's find the value of x:

Substitute 3 for y in [tex]-2x+3y=-1[/tex]

[tex]-2x+(3)(3)=-1[/tex]

[tex]-2x+9=-1[/tex] (simplify both sides of the equation)

[tex]-2x+9+-9=-1+-9[/tex] (add both sides by -9)

[tex]-2x=-10[/tex]

[tex]\frac{-2x}{-2} =\frac{-10}{-2}[/tex]  (divide both sides by -2)

[tex]x=5[/tex]

Therefore, the value of x = 5 and y = 3

Answer:

Step-by-step explanation:

Given,

Parallel sides of the trapezium = 50m, 90m

Height of the trapezium = 32m

Therefore,

Area of the trapezium

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

[tex] = \frac{1}{2} \times (50 + 90)m \times 32m[/tex]

= (50 + 90) m × 16m

= 140m × 16m

[tex] = 2240 {m}^{2} (ans)[/tex]

Answer:

A = 2240 m²

Step-by-step explanation:

The area (A) of a trapezium is calculated as

A = [tex]\frac{1}{2}[/tex]  h (b₁ + b₂ )

where h is the perpendicular height and b₁, b₂ the parallel bases

Here h = 32 , b₁ = 90 and b₂ = 50 , then

A = [tex]\frac{1}{2}[/tex] × 32 × (90 + 50) = 16 × 140 = 2240 m²

Answer:

Option B.

Step-by-step explanation:

Inverse function:

Suppose we have a function y = f(x). To find the inverse function, we exchange x and y on the original function, and then isolate y.

The domain of the inverse function(x values) is the range of the original function(y values).

Original function:

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

Domain is [tex][0,\infty)[/tex], and when [tex]x = 0, f(x) = -5[/tex]. So the range is [tex][-5,\infty][/tex], that is, [tex]y \geq -5[/tex]

Inverse function:

[tex]y = \sqrt{x} - 5[/tex]

Exchanging x and y

[tex]x = \sqrt{y} - 5[/tex]

[tex]\sqrt{y} = x + 5[/tex]

[tex](\sqrt{y})^2 = (x+5)^2[/tex]

[tex]y = (x+5)^2[/tex]

The inverse function is [tex]f^{-1}(x) = (x+5)^2[/tex]

Domain:

Range of the original function is [tex]y \geq -5[/tex], so the domain of the inverse function is [tex]x \geq -5[/tex]. The correct answer is given by option B.

Answer:

B. f ^ -1 (x) = (x + 5) ^ 2;

x > -5

Step-by-step explanation:

Ap e x

Answer:

B. 224

Step-by-step explanation: 42/60 means that 70 % of people ride the school bus. So 70 percent of 320 is 224. Hope this helps

Answer:

D.

Step-by-step explanation:

its a right triangle, so we can use the pythagorean theorem to find h

(pythagorean theorem is a^2+b^2=c^2, c is the hypotenuse)

h^2+4^2=13^2

h^2+16=169

h^2=153

h=sqrt153

h≈ 12.4ft

Answer:

[tex]2 \frac{2}{7}[/tex] pounds, D

Step-by-step explanation:

1 pound of apples = 1.75 dollars.

Set the number of pounds of apples as x.

Then, we can write this equation.

1.75x = 4

[tex]\frac{7}{4}[/tex]x = 4

Divide both sides by [tex]\frac{7}{4}[/tex]

x = [tex]\frac{4}{1}[/tex] * [tex]\frac{4}{7}[/tex]

x = [tex]\frac{16}{7}[/tex]

x = [tex]2 \frac{2}{7}[/tex]

Thus, the answer is D, x = [tex]2 \frac{2}{7}[/tex] pounds

Answer:45

Step-by-step explanation:

There are 3 even numbers out of A total of 8 numbers.

Each spin would have a 3/8 chance of landing in an even number.

Multiply the chance of landing on even by number of spins:

120 x 3/8 = 360/8 = 45

The answer would be 45 times.

Answer:

let the number be x

x²-2x=0

here it is your quadratic equation

Answer:

24318

Step-by-step explanation:

That's all what you were asking for?

Answer:

He's correct its 432

Step-by-step explanation:

Answer:

125 gallons

Step-by-step explanation:

Answer:

125 gallons

Step-by-step explanation:

600-100=500

500/4=125

125 gallons go in each of the bigger aqauriums

Answer:

$63.75

Step-by-step explanation:

Answer:

Carlos, June, Pedro, Jayne

least to greatwst

Answer:

B) 1

Step-by-step explanation:

x+1/2(x-4)=1/2x+6(x-2)

x+1/2x-4/2=1/2x+6x-12

x+1/2x-1/2x-2=6x-12

x-2=6x-12

x-6x-2=-12

-5x-2=-12

-5x=-12+2

-5x=-10

5x=10

x=10/5

x=2

Answer:

93 degrees

Step-by-step explanation:

alternate interior angles are congruent so 39+x=132 x=93

Answer:

Step-by-step explanation:

According to Alternate Interior Angles Theorem (in a graph that shows a transversal crossing two parallel lines, the alternate interior angles are congruent), The angle that includes the sum of 39° and x° is congruent to 132°.

So: 39° + x° = 132°, and x = 93

Hi this was a different question from normal but okay.

Answer:

There has been an high speed chase that lead to an injury of a young girl. Isaac midway had fled the seen at North West 22nd, around 2:56 pm. With the girl laying in the street with a broken leg and fractured ankle. Have any evidence call crime stoppers.

Step-by-step explanation:

This provides criminal, time and location and injury. Good luck.

One Night, The Criminal Mastermind, Arnold "Laughing" Jack Escapes From The Facility In New Orleans, And Proceeds To Murder 70 People, The Most Famous Spot Was His Murder Hotel Where He Mutilated 5 People In The Kitchen. The Injuries On The Bodies Were Similar To What Forensics Is The Equivalent Of, How Being Struck With A Curved Sword Would Be.

Answer:

True

Step-by-step explanation:

Equivalent fractions are fractions with different numbers representing the same part of a whole.

Answer:

Looks like a cuboid

Hope it helps :)

Have a great day!

The net below represents a container. What solid figure does it show?

We can see that the given net has 12 edges, 6 faces and 8 vertices if we compile it up. These number of edges, faces and vertices are found in a cuboid or a rectangular prism. With this we can conclude that if we compile the given net, it will form a cuboid or a rectangular prism. So, the given net is of a cuboid or a rectangular prism.

The given net is of a cuboid or a rectangular prism.

Answer:the answer Is the second option

Step-by-step explanation:

It is reflected across the it is rotated

Answer:

try the middle one and if it doesn't work say you pressed the wrong one when your teacher asks

Answer:

y = 5x - 6

Step-by-step explanation:

y - 9 = 5 ( x - 3 )

y = 5x - 15 + 9

y = 5x - 6

Answer:

40x - 3

Step-by-step explanation:

4x(5)(2)−6+3

=40x+−6+3

=40x+−6+3

=(40x)+(−6+3)

=40x+−3

Answer:

i think it is option c

Step-by-step explanation:

Answer:

7 lil boys i-

YE PLS ILL JOIN KURAPIKA CULT N ARMIN CULT- ofc gay frog cult 2 :3

Step-by-step explanation:

:3

Answer:

I wnat to jon Kurpaika cult please bestie

Step-by-step explanation:

AWOOOOOOOOOOOOOOOGA