The total surface area of a cube is 433.5 cm2.
Find its volume.

Answer:

8

Step-by-step explanation:

The bottom angles are equal, so the sides are equal

2x = 5x-12

Subtract 5x from each side

2x-5x= 5x-12-5x

-3x = -12

Divide by -3

x = 4

YZ = 5x-12 = 5(4) -12 = 20-12 =8

Answer:

Let the first integer be 'n.' Then n(n+2)+38=(n+2)^2. Solve using the quadratic equation: n=17. The two odd integers are 17 and 19.

Step-by-step explanation:

The integers are -39 and -38.

Natural numbers are: 1, 2, 3, ....

Integer numbers are: ...., -2, -1, 0, 1, 2, ... (so it includes positive and negative natural number, and 0 )

Rational numbers are numbers which can be written in the form of [tex]\dfrac{a}{b}[/tex] where a and b are integers. Example: 1/2, 3.5 (which is writable as 7/5) etc.

Irrational numbers are those real numbers which are not rational numbers.

Know that all natural numbers are integers, all integers are rational numbers. That means, natural numbers are not irrational.

Given;

The product of two consecutive positive odd integers is 38 less than the square of the greater integer

Now, let the numbers be x and x+

So, the equations will be

x(x+1)-38=(x+1)^2

x^2+x-38=x^2+1+2x

x=-39

x+1=-38

Therefore, the integer numbers will be -39 and -38.

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Answer:

(y+8)(y+2)

Step-by-step explanation:

y^2 + 10y + 16

What two numbers multiply to 16 and add to 10

8*2 = 16

8+2 =10

(y+8)(y+2)

Answer:

[tex] \frac{15 \sqrt{209} }{209} [/tex]

Step-by-step explanation:

Objective: Understand and work with trig identies.

Recall multiple trig identies and manipulate them to get from cosecant to secant.

Given

[tex] \csc(a) = \frac{60}{16} [/tex]

Apply reciprocal identity csc a = 1/sin a.

[tex] \sin(a) = \frac{16}{60} [/tex]

Apply pythagorean identity to find cos a.

[tex]( \frac{16}{60}) {}^{2} + \cos(x) {}^{2} = 1[/tex]

[tex] \frac{256}{3600} + \cos(x) {}^{2} = 1[/tex]

[tex] \cos(x) {}^{2} = \frac{3600}{3600} - \frac{256}{3600} [/tex]

We can simplify both expression

[tex] \cos(x) {}^{2} = \frac{225}{225} - \frac{16}{225} [/tex]

[tex] \cos(x) = \frac{ \sqrt{209} }{15} [/tex]

Cosine is positve on quadrant 1 so that cos(a)

Apply reciprocal identity sec a= 1/ cos a.

The answer is

[tex] \sec(a) = \frac{15}{ \sqrt{209} } [/tex]

Rationalize the denominator.

[tex] \frac{15}{ \sqrt{209} } \times \frac{ \sqrt{209} }{ \sqrt{209} } = \frac{15 \sqrt{209} }{209} [/tex]

Answer:

[tex]S' = (-5,-5)[/tex]

[tex]Q"=(-5,-5)[/tex]

Step-by-step explanation:

Given

[tex]S = (5,-5)[/tex]

[tex]Q= (5,5)[/tex]

Solving (a): Reflect S across y-axis

The rule to reflect across y-axis is:

[tex](x,y) \to (-x,y)[/tex]

So, we have:

[tex]S(5,-5) \to S'(-5,-5)[/tex]

Hence:

[tex]S' = (-5,-5)[/tex]

Solving (b): Reflect Q across x and y-axis

The rule to reflect across x-axis is:

[tex](x,y) \to (x,-y)[/tex]

So:

[tex]Q(5,5) \to Q'(5,-5)[/tex]

The rule to reflect across y-axis is:

[tex](x,y) \to (-x,y)[/tex]

So:

[tex]Q'(5,-5) \to Q"(-5,-5)[/tex]

Hence:

[tex]Q"=(-5,-5)[/tex]

i dont get it either

Step-by-step explanation:

Answer:

HCF×LCM=a×b

6×60=a×b

a×b=360

So the numbers are whose product is 360 and LCM is 60

These two numbers can be 6,60 or 12,30

Answer:

C

Step-by-step explanation:

Answer:

the answer is plane try I'm pretty sure it's that.

Answer:

$63.30

Step-by-step explanation:

Assuming the $60 is excluding taxes:

60 * 1.055 = $63.30

Answer:

B

Step-by-step explanation:

Given a system of equations graphically, then the solution is at the point of intersection of the 2 equations.

As can be seen from the graph there is only 1 point of intersection, thus only one solution,

Answer:

A

Step-by-step explanation:

Answer:

0.325

Step-by-step explanation:

13 ÷ 40 = 0.325

Yo, why is your school still going on? :))))

Answer:

0.325

Step-by-step explanation:

13 out of 40 days.

13/40= 0.325

Answer:

-74 10/5

Step-by-step explanation:

first you will write the decimal number in fraction form which will be,

-74.5 = -745/10

now, on diving we will get,

74 as quotient and 5 as remainder, 10 as divisor.

now mixed fraction is, quotient divisor/remainder

the answer will be -74 10/5

•you can solve it to get the fraction you got previously as, =(-74 X10 + 5)/5 you will get the fraction in question.

I got a little help from my tutors at Gauthmath app, you can get it too. I would suggest you this app. really cool app.

Hope my answer helps.

Answer:

C.

Step-by-step explanation:

i took the test

The standard form of the equation of the parabola that has a vertex of (-4,-3) and a directrix of x = 2 is (x+3)² = -24(y+4), the correct option is D.

If a quadratic equation is written in the form

y=a(x-h)^2 + k

then it is called to be in vertex form. It is called so because when you plot this equation's graph, you will see vertex point(peak point) is on (h,k)

First of all, i used this vertex formula thing since it is visible that there are quadratic functions. Otherwise, you had to use calculus to get critical points, then second derivative of functions to find the character of critical points as minima or maxima or saddle etc to get the location of vertex point.

This point (h,k) is called the vertex of the parabola that quadratic equation represents.

We are given that;

The vertex of parabola=(-4,-3)

Directrix of x is 2

Now,

The distance from a point (x,y) to the directrix x = 2 is the horizontal distance between the point and the line, which is |x - 2|. The distance from a point (x,y) to the focus (-4,f) is the distance between the point and the vertex plus the distance between the vertex and the focus, which is |y - (-3)| + |-4 - 2| = |y + 3| + 6.

|y + 3| + 6 = |x - 2|

To eliminate the absolute value, we can square both sides of the equation:

(y + 3)² + 12(y + 3) + 36 = (x - 2)²

(x - 2)² = (y + 3)² + 12(y + 3) + 36

x² - 4x + 4 = y² + 6y + 9 + 12y + 36

x² - 4x = y² + 18y + 45

x² - 4x + 4 = y² + 18y + 49

(x - 2)² = (y + 9)²

This is the standard form of the equation of the parabola, which has a vertex of (-4,-3) and a directrix of x = 2. Comparing this equation with the standard form of the equation of a parabola, we can see that the parabola opens horizontally to the left, and its focus is the point (-6,-3).

(x-2)² = -24(y+9)

Therefore, the equation will be (x+3)² = -24(y+4).

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Answer:

What help you need from us?????

Answer:

I think the answer is 6

Step-by-step explanation:

but it could also be 5 since its the lowest number. But if its goin based of the amount of data it should be 6

Answer:

miss rages is the best way of doing that and it will take a few months for a kid

Answer:

the answer is 20

32/8=h/5

cross multiply and boom!

I hope this help sry if it doesnt!

Step-by-step explanation:

Answer:

164/3

Step-by-step explanation:

Answer:

b=36 and c=144

Step-by-step explanation:

b+144=180, b=36

b+c=180, c=180-36=144

The simplified form of 10⁹/10⁷ is 100.

The given expression is,

10⁹/10⁷

Since we know that,

Exponentiation is the process of expressing huge numbers in terms of powers. That is, exponent refers to the number of times a number has been multiplied by itself.

Since we also know that,

When base of exponent is same then while dividing we subtract the power of denominator from the power of numerator,

Therefore,

we can write the given expression

10⁹/10⁷ =  [tex]10^{(9-7)}[/tex]

            = 10²

            = 10 x 10

            = 100

Hence,

10⁹/10⁷ = 100

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Answer:

(f • g)(x) = log (-x + 1)

Step-by-step explanation:

Here is a composite function

What we simply have to do here is to make a substitution

the substitution we are going to make is that we will substitute the value of x in f(x) with the entirety of g(x)

This simply mean that we replace every x we find in f(x) with the entire equation of g(x)

we have this as;

f(g(x)) = log (-x + 1)

Answer:

I think the answer should be A

Answer:

So your answer would be A

Step-by-step explanation:

It is not B since a negative correlation, the only time it will be a negative correlation is if its going the other way or down

It is also not C since there is a correlation, (positive correlation) there would be no dots.

I dont think its D since the speed is increasing but the cost is not decreasing, this would represent a negative correlation.

So your answer would be A since the line is linear, it is mild (the points are not to close but not to far) and its positive since it is going right and up.

Hope this helped :D

Answer:

should be 3/7 I think that's right

Answer:

2x+y=4

2times-1 is -2

2x+-2=4

2x=4

x=2

Complete the square:

x ^2 - 2x + y ^2 + 4y + 1 = 0

(x - 1)^2 + (y + 2)^2 + 1 = 1 + 4

(x - 1)^2 + (y + 2)^2 = 4 = 2^2

Hence the center is (1, -2) and the radius is 2. (D)

Answer:

c = 60°

Step-by-step explanation:

Since the measures are among a 90° angle, we need to subtract 30° from 90° which equals 60°

c = 60°

Answer: x=6

Step-by-step explanation:

Let's solve your equation step-by-step.

4+3(2x−4)=28

Step 1: Simplify both sides of the equation.

4+3(2x−4)=28

4+(3)(2x)+(3)(−4)=28(Distribute)

4+6x+−12=28

(6x)+(4+−12)=28(Combine Like Terms)

6x+−8=28

6x−8=28

Step 2: Add 8 to both sides.

6x−8+8=28+8

6x=36

Step 3: Divide both sides by 6.

6x

6

=

36

6

Answer:

[tex]x=6[/tex]

Step-by-step explanation:

[tex]4+3 (2x-4)=28[/tex]

Distribute 3 to the parenthesis:

[tex]4+6x-12=28[/tex]

Add 12 to both sides:

[tex]4+6x-12=28[/tex]

          +12      +12

[tex]4+6x=40[/tex]

Subtract 4 from both sides:

[tex]4+6x=40[/tex]

-4            -4

[tex]6x=36[/tex]

Divide both sides by 6

[tex]6x=36[/tex]

/6      /6

[tex]x=6[/tex]

Hope this helps!