please help me with this

a . 18

b . 16

c . 12

d . 9

Answer:

\({ \huge \star} \boxed{\sqrt{6} \times 10 \sqrt{12}} {\huge \star} \\ = \sqrt{6} \times 10 \times \sqrt{6 \times 2} \\ = 6 \times 10 \times \sqrt{2} \\ = \boxed{ 60 \sqrt{2} }\)

what is the product of √6 and 10√12 in simplest radical form?

\( \small 60 \sqrt{2} \)

→ √6 × 10√12

→ √6 × 10 × √6×2

→ 6 × 10 × √2

→ 60√2

The experimental probability that an arrangement will contain at least one yellow balloon is 0.767. Then the correct option is C.

Given that:

Each balloon arrangement in Ethan's class has four balloons in it. The likelihood of each balloon being red, blue, or yellow is equal. To represent this possibility, Ethan made a spinner.

ybrr, bybb, rbbb, rrry, rbbb, rryy, yybb, ryry, ryyr, rbyr, ryyr, rryy, rrrr, yrby, bbyy, byyr, byyr, byyb, rbby, ybry, rryy, rbrr, rybb, bbbr, rrbr, ybry, ryrr, rryb, rrrb, rryr

The experimental probability that an arrangement will contain at least one yellow balloon is calculated as,

P = 23 / 30

P = 0.767

Thus, the correct option is C.

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Answer:

65 degrees

Step-by-step explanation:

The angles will sum up to 360, just do 360 - all known angles

360 - 90 - 128 - 77 = 65

Answer:

Step-by-step explanation:

Sum of all angles is 360 degrees

Let the measure of angle M equal x.

x+90+77+128=360

x=65

Measure of angle M is 65 degrees

The population after 12 years is 98448 and the formula is\(P(t) = 25000(1.121)^{t}\).

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that the population of the town is 25000 and increasing at the rate of 1.121.

The expression will be written as:-

\(P(t) = 25000(1.121)^{t}\)

\(P(12) = 25000(1.121)^{12}\)

P(12) = 98448

Hence, the population after 12 years will be 98448.

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Answer:

x = 3

Step-by-step explanation:

I've attached a picture.

:)

The statement is true , that the given sample follows binomial distribution.

If a random variable has two alternative outcomes (success or failure), it has a binomial distribution.

Each draw must be separate from the ones that came before it.

There is a set number of drawn components.

We randomly select 15 students, and since the sample size of 15 is less than 10% of the total population, we can assume that each draw is independent.

Because X has a binomial distribution, success is determined by whether the student is left-handed (failure is determined by whether the student is not left-handed).

The binomial distribution is the discrete probability distribution used in probability theory and statistics that only allows for success or failure as the possible outcomes of an experiment.

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Answer:

Step-by-step explanation:

Let h(x) = y

The exponentail function is of the form :

\(y = ab^x\)

We have :

\(y_{_1} = ab^{x_{_1}}\\y_{_2} = ab^{x_{_2}}\\\\\implies \frac{y_{_1}}{y_{_2}} = \frac{ab^{x_{1}}}{ab^{x_{2}}} \\\\\implies \frac{y_{_1}}{y_{_2}} = \frac{b^{x_{1}}}{b^{x_{2}}} \\\\\implies \frac{y_{_1}}{y_{_2}} = b^{(x_1-x_2)}\)

Given points : (4, 9) and (5, 34.2)

We have:

\(\frac{34.2}{9} = b^{(5-4)}\\\\\implies 3.8 = b\)

Writing the equation with x, y and b:

\(y = ab^x\\\\\implies 9 = a(3.8^4)\\\\a = \frac{9}{3.8^4} \\\\a = 0.043\)

a = 0.043

b = 3.8

When x = 6, y will be:

\(y = (0.043)(3.8^6)\\\\y = 128.47\)

This is not the y value in the question y = 59.4

Therefore (6, 59.4) does not lie on the graph h(x)

Answer:

70%

Step-by-step explanation:

the formula for percent of change is:

New value - Old value divided by Old value

we can write this algebraically as:

(6-20)/20 which is -14/20

the negative simply implies a 'decrease' from old to new

14/20 equals 70/100 or 70%

Answer:

The answer to your question is 70% decrease

Step-by-step explanation:

I hope this helps and have a wonderful day!

Answer:

A

Step-by-step explanation:

a. The  slope of the curve at the point (4,16)   is approximately 1.165, and at the point (16,4)  is approximately -0.496.

b. The   curve has a horizontal tangent line at the points(0,0) and (3,27).

c. The   curve has a vertical tangent lineat the points (0,0) and (65/2, (65/2)³).

a. To find the   slope of the curve given by the equation x³ + y³ - 65xy = 0 at the points (4,16) and (16,4),we can differentiate the equation implicitly with respect to x and solve for dy/dx.

Differentiating the equation with respect to x, we have  -

3x² + 3y²(dy/dx) - 65y - 65x(dy/dx) = 0

To find the slope at a specific point, substitute the x and y coordinates into the equation and solve for dy/dx.

For the point (4,16)  -

3(4)² + 3(16)²(dy/dx) - 65(16) - 65(4)(dy/dx) = 0

48 + 768(dy/dx) - 1040 - 260(dy/dx) = 0

508(dy/dx) = 592

(dy/dx) = 592/508

(dy/dx) ≈ 1.165

For the point (16,4)  -

3(16)² + 3(4)²(dy/dx) - 65(4) - 65(16)(dy/dx) = 0

768 + 48(dy/dx) - 260 - 1040(dy/dx) = 0

(-992)(dy/dx) = 492

(dy/dx) = 492/(-992)

(dy/dx) ≈ -0.496

Thus, the slope of the   curve at the point (4,16) isapproximately 1.165, and at the point (16,4) is approximately -0.496.

b. To find the point where the curve has   a horizontal tangent line, we need to find the x-coordinate(s)where dy/dx equals zero.

This means   the slope is zero and the tangent line is horizontal.

From the derivative we obtained earlier  -

3x² + 3y²(dy/dx) - 65y - 65x(dy/dx) = 0

Setting dy/dx equal to zero  -

3x² - 65y = 0

Substituting y = x³/65 into the equation  -

3x² - 65(x³/65) = 0

3x² - x³ = 0

Factoring out an x²  -

x²(3 - x) = 0

This equation has two solutions  -  x = 0 and x = 3.

hence, the curve has a horizontal   tangent line at the points(0,0) and (3,27).

c. To find the point where the curve has a vertical tangent line, we need to find the x-coordinate(s)   where the derivative is undefinedor approaches infinity.

From the derivative  -

3x² + 3y²(dy/dx) - 65y - 65x(dy/dx) = 0

To find the vertical tangent line, dy/dx should be undefined or infinite. This occurs when the denominator of dy/dx is zero.

Setting the denominator equal to zero:  -

65x = 65y

x = y

Substituting this condition back into the original equation  -

x³ + x³ - 65x² = 0

2x³ - 65x² = 0

x²(2x - 65) = 0

This equation has two solutions  - x = 0 and x = 65/2.

Therefore, the curve has a vertical tangent line   at the points (0,0)

and(65/2, (65/2)³).

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Answer: The correct formula for the sequence -1, -5, -9, ... is an = -4 + (-1) n - 1). This formula uses the common difference of -4 and the first term of -1 to calculate the value of the nth term in the sequence.

The measure of angle W in the kite WXYZ is 115°

A kite is a quadrilateral with reflection symmetry across a diagonal. Because of this symmetry, a kite has two equal angles and two pairs of adjacent equal-length sides.

Given that, In kite WXYZ, m ∠ x = 90° and m ∠ z =40°.

Please refer to figure attached,

We know that, in a kite, it has two opposite and equal angles.

According to figure, here,

m ∠ W = m ∠ Y

Let m ∠ W = m ∠ Y = x

Also, the sum of interior angles of quadrilateral = 360°

Therefore,

x + x + 90° + 40° = 360°

2x = 360° - 130°

2x = 230°

x = 115°

Thus, m ∠ W = m ∠ Y = 115°  

Hence, the measure of angle W in the kite WXYZ is 115°

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Answer:

If the base and the negative exponent is in the denominator already

Step-by-step explanation:

Normally, a base with a negative exponent moves to the denominator.

Example: (2^-3 = 1 / (2)^3 = 1/8)

However, if the base and the negative exponent is already in the denominator, the base would move to the numerator and the exponent would become positive.

Example:  2 / (3)^-3 = 2 * 3^3 = 2 * 27 = 54

Answer:

292

Step-by-step explanation:

Answer:

292

Step-by-step explanation:

12X25=300

300+2=302

302-10=292

PEMDAS

also used calculator

look it up on internet

There are no two Real numbers that add up to -2 and multiply to 10.

The numbers that add up to -2 and multiply to 10, we can use algebraic methods. Let's denote the two numbers as x and y. Based on the given conditions, we can set up two equations:

Equation 1: x + y = -2

Equation 2: x * y = 10

To solve this system of equations, we can use substitution or elimination methods. Let's solve it using the substitution method:

1. Solve Equation 1 for x:

  x = -2 - y

2. Substitute the value of x in Equation 2:

  (-2 - y) * y = 10

3. Simplify the equation:

  -2y - y^2 = 10

4. Rearrange the equation to standard form:

  y^2 + 2y + 10 = 0

5. Since the equation is a quadratic equation, we can apply the quadratic formula:

  y = (-b ± √(b^2 - 4ac)) / (2a)

  In this case, a = 1, b = 2, and c = 10.

6. Calculate the discriminant: b^2 - 4ac:

  2^2 - 4(1)(10) = 4 - 40 = -36

7. Since the discriminant is negative, the quadratic equation does not have real solutions. Therefore, there are no real numbers that satisfy both conditions of adding up to -2 and multiplying to 10.

In conclusion, there are no two real numbers that add up to -2 and multiply to 10.

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Answer:

3π/2

Step-by-step explanation:

See attached graph

Answer:

18

Step-by-step explanation:

Answer:

18/1 so basically 18

Step-by-step explanation:

Answer:

Point-Slope: \(y+4=-\frac{1}{2}(x+3)\)

Slope-Intercept: \(y=-\frac{1}{2}x-\frac{11}{2}\)

Step-by-step explanation:

The point-slope formula is \(y-y_{1}=m(x-x_{1} )\). The slope-intercept formula is \(y=mx+b\). Since we are given the point and slope, we can directly plug it into the point-slope formula.

Point-Slope

\(y-(-4)=-\frac{1}{2}(x- (-3))\)

\(y+4=-\frac{1}{2} (x+3)\)

To find the slope-intercept form, we can manipulate the point-slope form to get the slope-intercept form.

Slope-Intercept

\(y+4=-\frac{1}{2}x-\frac{3}{2}\)

\(y=-\frac{1}{2}x-\frac{11}{2}\)

Answer: Point slope form   y+4= -1/2(x+3)  

Slope intercept form: y=-1/2x -11/2

Step-by-step explanation:

(-3,-4) : m= -1/2  

So we know the slope and to write it in point slope form it will be like ,

y- b = m(x-a)   Where b is the y value and a is the x value  and m in this case is the slope .

y- (-4) = -1/2 ( x-(-3)   which reduces to  y+4= -1/2(x+3)

Now to write it in slope intercept form  it will be  like y=mx+b and we kow htat m is the slope but we do not know b the y-intercept. But using the given coordinates we could plot it into the formula and solve for b.

y = mx +b

We  know that y is -4  

We know that m is -1/2  

we know that x is  -3  

so  -4 = -1/2(-3) + B

    -4  = 3/2 + b

   -3/2    -3/2

  b= -11/2  

We know now that the y intercept is -11/2 so we could write  it in slope intercept form.

y= -1/2x - 11/2

Answer:

c. matched pairs design.

Step-by-step explanation:

For an experimental design to be classified as matched pairs, it must have two treatment options and the grouping of participants with common demographics. The participants can be either grouped in pairs or within ranges. Grouping participants within ranges makes the assignment to groups less tedious compared to when they are in pairs. The test above employs this design because,

1. It tests the effectiveness of two new treatments for stomach ulcers

2. The subjects are grouped within ranges based on the age demographic factor.

We have the following:

The equation is

now,

m = -5

x = 0

y = 2

replacing:

Therefore, a linear equation is:

Answer:

8 and 21

Step-by-step explanation:

Answer:

The numbers are 21 and 8.

Step-by-step explanation:

Let x be the larger number and y be the smaller number.

According to question,

x + y = 29

or x = 29 - y ........(i)

Also,

3x + 6y = 111

Replacing x from (i), we get,

3(29-y) + 6y = 111

87 - 3y + 6y = 111

3y = 111 - 87

3y = 24

y = 24/3

y = 8

And,

x = 29 - y

= 29 - 8

= 21

Answer:

-48079

Step-by-step explanation:

-(49100-1021)

-48079

Answer:

Step-by-step explanation:

1. here you go mate

step 1

6x - 12 < 6  equation

step 2

6x - 12 < 6  simplify

6x-12+12<6+12

step 3

6x<18  Divide both sides

\(\frac{6x}{6}<\frac{18}{6}\)

answer

x<3

2. Here you go mate

step 1

2(3x-8) >8  equation

step 2

2(3x-8) >8  simplify

6x-16+16>8+16

step 3

6x>24  divide both sides

\(\frac{6x}{6} >\frac{24}{6}\)

answer

x>4

The two other positive angles of rotation that take A to B are 19π/6 and 31π/6.

The unit circle is rotationally symmetric, meaning that any angle of rotation on the unit circle will take a point to another point on the unit circle with the same distance from the origin. This means that if we rotate point A by 7π/6 radians, we can also rotate it by 19π/6 or 31π/6 radians and end up at the same point B.

The point A has polar coordinates (1, 0). This means that it is located at a distance of 1 unit from the origin and has an angle of 0 radians with the positive x-axis.

The point B has polar coordinates (√3/2, 1/2). This means that it is located at a distance of √3/2 units from the origin and has an angle of 7π/6 radians with the positive x-axis.

If we rotate point A by 19π/6 radians, we get a point with polar coordinates (√3/2, -1/2). This point is located at the same distance from the origin as point B and has the same angle with the positive x-axis.

Therefore, the two other positive angles of rotation that take A to B are 19π/6 and 31π/6.

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The numerator is 4 and the denominator is 7. It is a proper fraction.

A fraction represents the part of a set of objects. It has two parts separated by a dividing line, generally written

a/b

Where

There are 3 types of fraction. They are

1. Proper fraction

A proper fraction is a fraction whose numerator is less than the denominator. It makes the value is less than 1.

Example: 3/4, 2/5.

2. Improper fraction

An improper fraction is a fraction whose numerator is more than the denominator. The value is more than 1.

Example: 9/8, 7/5.

3. Mixed fraction

A mixed fraction is a combination of a whole number and a proper fraction. It is the quotient and the remainder of improper fraction.

Example:

From the explanation above, the fraction of 4/7 has the numerator of 4 and the denominator of 7. The numerator 4 is less than the denominator 7, so the fraction is a proper fraction.

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Answer:

z=2

Step-by-step explanation:

We are given that a line has a slope of 3.

The line passes through the points (-10, z) and (-8, 8)

We want to find the value of z.

To do that, we can calculate the slope.

The slope can be calculated using the formula \(\frac{y_2-y_1}{x_2-x_1}\), where \((x_1, y_1)\) and \((x_2, y_2)\) are points

Even though we already have 2 points, let's label their values to avoid any confusion.

\(x_1=-10\\y_1=z\\x_2=-8\\y_2=8\)

Now substitute those values into the formula, and set it equal to 3. Remember that the formula uses subtraction.

\(\frac{8-z}{-8--10}\) = 3

We can simplify this first.

\(\frac{8-z}{-8+10}\) = 3

\(\frac{8-z}{2}\) = 3

We can multiply both sides by 2 to clear the fraction and make it easier to calculate.

2(\(\frac{8-z}{2}\))  = 2(3)

Multiply.

8 - z = 6

Subtract 8 from both sides

-z = - 2

Multiply both sides by -1.

-1(-z) = -1(-2)

Multiply.

z = 2

The Height of the given rectangular prism is:  (x + 1) - 4/(x³ + 3x² + 8)

In algebra, polynomial long division is defined as an algorithm used in dividing a polynomial by another particular polynomial of the same or even lower degree, which is a generalized version of the common arithmetic technique called long division. It can be done easily by hand, because it separates a supposedly complex division problem into smaller ones.

We are given:

Volume of a rectangular prism =  (x⁴ + 4x³ + 3x² + 8x + 4), and the area of its base is (x³ + 3x² + 8)

Thus, height is:

                   x + 1

x³ + 3x² + 8|x⁴ + 4x³ + 3x² + 8x + 4

                -  x⁴ + 3x³ + 0   + 8x

                           x³ + 3x² + 4

                         - x³ + 3x² + 8

                                        -4

Thus:

Height = (x + 1) - 4/(x³ + 3x² + 8)

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