what is it ?………………….

Answer:

The answer is three fiths

Answer:B

Step-by-step explanation:

we can show this as,

\(x^{y^{z} } =x^{yz} \\18^{21} *5^{27} /18^{3} =18^{18}*5^{27}\)

Answer:

7

Step-by-step explanation:

Since one card was removed:

6 = x/4

x = 6 X 4

x = 24

Then you sum the numbers on the five cards and subtract 24 from it

(2 + 5 + 7 + 8 + 9) - 24

= 31 - 24

= 7

Therefore card with number 7 was removed.

The number of square inches of cardboard that are needed to make one

the container is 18.

We have,

The volume of the triangular prism.

= Area of the triangle x height

Now,

Height = 6 in

And,

To find the area of a triangle, we can use Heron's formula.

A = √(s(s-a)(s-b)(s-c))

where s is the semi-perimeter of the triangle, calculated as:

s = (a + b + c) / 2

In this case, the side lengths of the triangle are 3.2 in, 3.2 in, and 2 in.

Let's calculate the area using Heron's formula:

s = (3.2 + 3.2 + 2) / 2 = 4.2

A = √(4.2(4.2 - 3.2)(4.2 - 3.2)(4.2 - 2))

A = √(4.2 x 1 x 1 x 2.2)

A = √(9.24)

A ≈ 3.04 square inches

Now,

The volume of the triangular prism.

= Area of the triangle x height

= 3.04 x 6

= 18.24 in²

Now,

Area of one cardboard.

= 1² in²

= 1 in²

Now,

The number of square inches of cardboard that are needed to make one

container.

= The volume of the triangular prism / Area of one cardboard

= 18.24 in² / 1 in²

= 18.24

= 18

Therefore,

The number of square inches of cardboard that are needed to make one

the container is 18.

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Answer:

-10

Step-by-step explanation:

Let x = number of postcards sold (as this is the independent variable)

Let y = profit (as this is the dependent variable)

We need to find the equation of the straight line that passes through the two points.

Find the gradient using the formula: \(m=\frac{y_2-y_1}{x_2-x_1}\)

where \(m\) is the slope and \((x_1, y_1)\)  and \((x_2, y_2)\) are the two points

Let \((x_1, y_1)\) = (4, 2)  and \((x_2, y_2)\)  = (10, 20)

Therefore, \(m=\frac{20-2}{10-4}=\frac{18}{6} =3\)

Now use the equation of line formula:  \(y-y_1=m(x-x_1)\)

y - 2 = 3(x - 4)

y - 2 = 3x - 12

     y = 3x - 10

If Max doesn't sell any postcards, then x = 0.

Substituting x = 0 into the equation of the line:  y = (3 x 0) - 10 = -10

Therefore, Max's profit prior to selling any postcards is -10 (so he is at a net loss of 10 before selling any postcards).

The volume V of the water in the cone as a function of the height h of the water is,

V = (1/48)πh³

Given, water is poured into a container in the shape of a right circular cone with a radius 4 inches and height 16 inches.

We have to express the volume V of the water in the cone as a function of the height h of the water.

Now, at any instant let the height of the water in the cone be h and radius of the water in the cone be r,

So, using the concept of similarity in triangles

we get, r/4 = h/16

r = h/4

Now, the volume of the water in the cone be,

V = (1/3)πr²h

V = (1/3)π(h/4)²h

V = (1/48)πh³

So, the function expressing the volume of the water in the cone be,

V = (1/48)πh³

Hence, the volume V of the water in the cone as a function of the height h of the water is,

V = (1/48)πh³

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Answer:

\(y-2=3(x-4)\)

Step-by-step explanation:

We are given a line contains the point (4, 2).

We also know that the line is parallel to y= 3x - 7.

We want to write the equation of this line.

Parallel lines have the same slopes.

First, let's find the slope of y = 3x - 7.

3 is in the place of where m (the slope) is, so that means it is the slope of that line.

It is also the slope of the line whose equation we want to write.

The equation of the line can be written in three ways:

All of these ways are valid, but for this problem, let's write the equation in point-slope form, as it is the easiest.

Substitute 3 as m in \(y-y_1=m(x-x_1)\).

\(y-y_1=3(x-x_1)\)

Now, substitute 4 as \(x_1\) and 2 as \(y_1\).

\(y-2=3(x-4)\)

Topic: parallel and perpendicular lines

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If the unit is changed from feet to inches, the correlation coefficient remains unchanged; equal to 0.89. Option D

We know that the correlation coefficient is the figure that shows the level of association between two variables. If the correlation coefficient is large and positive it means that there is a large degree of association between the variables.

On the other hand, if the value of the correlation coefficient is small then we know that there is only a little association between the variakes. The correlation coefficient would not change even if the units of the measurements change.

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Answer: a. 0.13% b. 2.28%

Step-by-step explanation:

Let x denotes the useful life of batteries.

Given: months,

Since X is normally distributed.

The probability that batteries with a useful life of less than 38 months

The percent of batteries with a useful life of less than 38 months =0.13%

The probability that batteries will last longer than 68 months

The percent of batteries that will last longer than 68 months =2.28%

Step-by-step explanation:

Answer:

6.32

Step-by-step explanation:

:|

Answer:

6.32

Step-by-step explanation:

I counted up from G to H and I got 6. Since the line is a diagonal it makes it odd as in a weird number like a decimal most times. It can't be 6 because the line wouldn't make it to H it would be just short. 5.83 is already too short. 8 is to long for the line to be as it is now as a diagonal. 8, you would have to count up 6 and 2 to the right perfect but the line doesn't do that.

Answer:

A

Step-by-step explanation:

9|x-8|<36

|x-8|<4

-4<x-8<4

add 8

-4+8<x-8+8<4+8

4<x<12

Answer:

d) 1/12

Step-by-step explanation:

Using double angle identity, we are able to prove tan(x)(1 + cos(2x)) = sin(2x).

To prove the identity tan(x)(1 + cos(2x)) = sin(2x), we can start by using trigonometric identities to simplify both sides of the equation.

Starting with the left-hand side (LHS):

tan(x)(1 + cos(2x))

We know that tan(x) = sin(x) / cos(x) and that cos(2x) = cos²(x) - sin²(x). Substituting these values, we get:

LHS = (sin(x) / cos(x))(1 + cos²(x) - sin²(x))

Next, we can simplify the expression by expanding and combining like terms:

LHS = sin(x) / cos(x) + sin(x)cos²(x) / cos(x) - sin³(x) / cos(x)

Simplifying further:

LHS = sin(x) / cos(x) + sin(x)cos(x) - sin³(x) / cos(x)

Now, let's work on the right-hand side (RHS):

sin(2x)

Using the double angle identity for sine, sin(2x) = 2sin(x)cos(x).

Now, let's compare the LHS and RHS expressions:

LHS = sin(x) / cos(x) + sin(x)cos(x) - sin³(x) / cos(x)

RHS = 2sin(x)cos(x)

To prove the identity, we need to show that the LHS expression is equal to the RHS expression. We can combine the terms on the LHS to get a common denominator:

LHS = [sin(x) - sin³(x) + sin(x)cos²(x)] / cos(x)

Now, using the identity sin²(x) = 1 - cos²(x), we can rewrite the numerator:

LHS = [sin(x) - sin³(x) + sin(x)(1 - sin²(x))] / cos(x)

    = [sin(x) - sin³(x) + sin(x) - sin³(x)] / cos(x)

    = 2sin(x) - 2sin³(x) / cos(x)

Now, using the identity 2sin(x) = sin(2x), we can simplify further:

LHS = sin(2x) - 2sin³(x) / cos(x)

Comparing this with the RHS expression, we see that LHS = RHS, proving the identity.

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\(x^2-3x+2=0\\x^2-x-2x+2=0\\x(x-1)-2(x-1)=0\\(x-2)(x-1)=0\\x=2 \vee x=1\\\\x^2=4 \vee x^2=1\)

Answer:

Step-by-step explanation:

First we try to factor x²-3x+2.

We have to look for two numbers that multiply to 2 and add -3.

The two numbers are -1 and -2.

(x-1)(x-2) = 0

x-1 = 0 -> x = 1

x-2 = -> x = 2

Now we find x^2.

(1)^2 = 1

(2)^2 =4

Answer:

\(x + y\le 3000\)

Step-by-step explanation:

Given

\(x \to booth\)

\(y \to brochures\)

\(Total = 3000\)

Required

The inequality for this scenario

The total spending will not exceed the amount they have to spend; So, the inequality is:

\(x + y\le 3000\)

Answer:

17 Hours job a 10 Hours job B.

Step-by-step explanation:

It just works

Answer:

$37.05

Step-by-step explanation:

Answer:

25%

Step-by-step explanation:

The value of x for the chord is:

x = 12

A chord of a circle is a straight line segment whose endpoints both lie on a circular arc.

Recall that: If two chords intersect inside the circle, then they cut each other in such a way that the product of the lengths of the parts is the same for the two chords.

Using the above principle, we can say:

3 * x = 4 * 9

3x = 36

x = 36/3

x = 12

Thus, the value of x for the chord is 12.

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Answer:

Step-by-step explanation:

4x^2 + 4x + 8 - 2x - 1 = 4x^2 + 2x + 7

Answer:

27

Step-by-step explanation:

15+5=20

20+7=27

Answer: 27

Step-by-step explanation:

15+5=20

20+7=27

The true statement is "the line that can be drawn through points D and E is contained in plane Y".

option B is the correct answer

The points x and y and points C,D,E and f are shown in the figure, the true statement is determined as follows;

We know that, if two points lie in a plane, then the line drawn through the points will contained in the same plane.

The points C lies outside the plane Y and the point D lies on the plane Y, so the line drawn through the points C and D will not contained in plane Y.

So, option (A) is NOT correct.

The points D and E, both lie in the plane Y, so the line drawn through the points D and E will also contained in plane Y.

So, option (B) is CORRECT.

Since the plane X contain infinitely many points, so F is not the only point that can lie in plane X.

So, option (C) is NOT correct.

Similarly, there are infinitely many points in the plane Y, so the points D and E are not the only points that can lie in plane Y.

So, option (D) is NOT correct.  

Thus, the correct option is;

The line that can be drawn through points D and E is contained in plane Y.

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The complete question is below:

Points x and y and points C,D,E and f are shown what is true about points

(A) The line that can be drawn through points C and D is contained in plane Y.

(B) The line that can be drawn through points D and E is contained in plane Y.

(C) The only point that can lie in plane X is point F.

(D) The only points that can lie in plane Y are points D and E

Answer:

(6y+0.4x)^2

Step-by-step explanation:

If a, b and c are integers then the correction option in the above case is that both equation 1 and 2 are correct.

Note that:

Because:

Suppose  one say a|b. Then one can see that   an integer  do exist which is n such that  b = an.

Hence:

bc = (an)c = a(nc), so a|(bc) (the reverse is still the case or still applies)

Therefore, If a, b and c are integers then the correction option in the above case is that both equation 1 and 2 are correct.

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1

Step-by-step explanation:

when we put 1 in the equation the nominator becomes zero and it becomes undefined

Hii!

___________________________________________________________

\(\stackrel\star\rightsquigarrow\circ\boldsymbol{\underbrace{Answer:}}}\circ\leftharpoonup\)

The value of x should be 5! ^^

\(\stackrel\star{\rightsquigarrow\circ\boldsymbol{\underbrace{Explanation:}}}\circ\leftharpoonup\)

\(\boxed{\\\begin{minipage}{7cm} For\,an\,expression \\ \boldsymbol{to\,be\,und efined,} \\ \,its\,denominator\,should\,be\,zero \end{minipage}}}\)

Remember this! ^^

Now let's consider this:

Which value of x will make the denominator equal to 0?

Is it 1? If we stick 1 in, we will not obtain 0.

\(\twoheadrightarrow\sf y=\cfrac{3\cdot1-3}{1-5}\)

\(\bullet\) Simplify this

\(\twoheadrightarrow\sf y=\cfrac{3-3}{-4}\)

---

We will obtain 0 in the numerator, but not in the denominator; if the numerator is 0, then the fraction, or fractional expression, is 0.

Let's try 5. 5-5 is equal to 0, so this sounds promising! ^^

\(\twoheadrightarrow\sf y=\cfrac{3\cdot5-3}{5-5}\)

\(\bullet\) Look what we obtain when we simplify

Don't we obtain 15-3/0?

Like I said above, if an expression has 0 as its denominator, it's undefined.

--

Hope that this helped! Best wishes.

\(\textsl{Reach far. Aim high. Dream big.}\)

--

It should be noted that the expression that can be used to identify the x-values for which f(x)>-2 will be -2 <= x <= 2. This is illustrated in the graph.

It should be noted that a graph is a diagram that is used to show the relationship that exists between the data presented or the information.

In this case, ut should be noted that the expression that can be used to identify the x-values for which f(x)>-2 will be -2 <= x <= 2. This is illustrated in the graph.

The graph is attached below.

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Answer:

-25/3, or - 8 1/3

Step-by-step explanation:

many steps

2/3 + - (6+3x)/1 +3 (x-1)

- (6+3x)/1 *3/3* 2/3+ -(6+3x)/1 * 3/3 + 3 (x-1)

- (6+3x/1* 3/3* 2/3+ -(6+3x)*3/3 +3(x-1)*3/3

2-(6+3x)*3+3(x-1)*3/3

2+ (-1*6 - (3x)0 * 3+3 (x-1)*3/3

-1*6*2+(-6-(3x))*3+3(x-1)*3/3

3* -1 *2 + (-6-3x) *3+3 (x-1) *3 / 3

3*-1 * 2+(-6-(3x)) *3+3(x-1)*3/3

2-6*3x*3+3(x-1)*3/3

-6*3*2-18-3x*3+3(x-1)*3/3

3*-3*2-18-9x+3(x-1)*3/3

The expression representing the perimeter of the polygon is given as follows:

7mn³/3 + 4m² + 3mn².

The perimeter of a polygon is given by the sum of all the lengths of the outer edges of the figure, that is, we must find the length of all the edges of the polygon, and then add these lengths to obtain the perimeter.

Hence the perimeter for the polygon in this problem is given as follows:

mn³(1/3 + 2) + m²(1 + 3) + mn²(1 + 2) = 7mn³/3 + 4m² + 3mn².

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Answer:

x = 17

Step-by-step explanation:

Let the number be x.

ATQ,

one more than double a number and five more than double a number is 74,

1+2x+5+2x = 74

We need to find the value of x.

Subtract 6 from both sides,

6+4x-6 = 74-6

4x = 68

x = 17

Hence, the value of x is 17.