Two numbers to have a hcf of 4 one of the numbers is between 10 and 20 and the other is between 20 and 40 what are the two numbers find all possible answers

When we solve the radical equation, we can see that the value of x is -113.

A radical equation is an equation in which one or more variables are under a radical sign, such as a square root, cube root, or higher-order root. These equations involve expressions with radicals that contain the variable, and the goal is usually to isolate the variable on one side of the equation.

Given that;

10 + √2x + 1 = -5

√2x + 1 = - 5 - 10

√2x + 1 = - 15

Square both sides;

2x + 1 = -225

2x = -225 - 1

2x = -226

x = -113

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The ratios of each type are:

1/4 has big beak (BB)

2/4  has big short beak (Bb)

1/4 has short beak (bb)

A Punnett square is a diagram used to predict the possible outcomes of a genetic cross between two individuals.

               B          b

B            BB        Bb

b             Bb        bb

We have 1 BB, this implies that we have one bird with big beak.

We have 2 Bb, this implies that we have two bird with big short beak.

We have 1 bb, this implies that we have one bird with short beak.

The ratios of each type are:

1/4 (i.e. 25%) has big beak (BB)

2/4 (i.e. 50%) has big short beak (Bb)

1/4 (i.e. 25%) has  short beak (bb)

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The equation for the best fit of the scatter plot is y = x - 3

What is the scatter plot?

In a scatter plot, dots are used to represent the values of two different numerical variables. The values of each data point are represented by the position of each dot on the horizontal and vertical axes. Use scatter plots to see how different variables are related to one another.

Given data,

Let the scatter plot be represented as A

Now, the value of A is plotted below

where the slope of the plot is given by

m = y / x

m = 1

And, the y-intercept of the plot is when x = 0

So , when x = 0 , y = -3

Hence, the scatter plot is y = x - 3

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Answer:

D

Step-by-step explanation:

When a number is 5 or more you round up, but when it's 4 or lower you don't round at all. So, when you round the 8, in answer D, you get 6 making the answer 18.96.

Step-by-step explanation:

Use a modified Pythagorean theorem for 3 -D

diagonal = sqrt ( 9^2 + 12^2 + 8^2 ) = sqrt(289) = 17  units

Answer:

160

Step-by-step explanation:

9 x 18 = 162

Since the last number is not 5 and is lower it rounds down to 160.

Answer:

[tex]4k < -\frac{3}{2}[/tex]

Step-by-step explanation:

"A number k multiplied by 4 is less than -3/2"

First, let's look at the first part:

"A number k..."
We know the number we are operating is called k.

Let's look at the second part.

"...multiplied by 4..."

Now, we are multiply k by 4. After doing so, we get:

[tex]4k[/tex]

Finally, let's look at the last part.

"...is less than -3/2"

The quantity "a number k multiplied by 4" (or 4k) is less than -3/2.

We can rewrite this as:

[tex]4k < -\frac{3}{2}[/tex]

The diameter of the circle is approximately 947.15 meters.

What is a circle?

It is the center of an equidistant point drawn from the center. The radius of a circle is the distance between the center and the circumference.

The formula for the circumference of a circle is:

C = 2πr

where C is the circumference and r is the radius of the circle.

We can use this formula to find the radius of the circle given its circumference:

C = 2πr

942 = 2πr

Dividing both sides by 2π, we get:

r = 942/2π

Now, we can use the formula for the diameter of a circle in terms of its radius:

d = 2r

Substituting the value we found for r, we get:

d = 2(942/2π) = 942/π

Using a calculator to approximate π as 3.14, we can evaluate the expression to get:

d ≈ 947.15 meters

Therefore, the diameter of the circle is approximately 947.15 meters.

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Answer:

I got you

Step-by-step explanation:

c-11=25

c=25+11

c=36

The measure of an inscribed angle of a circle is 1/2 the measure of its intercepted arc. In this case, arc OM is the intercepted arc, and 1/2 of 120 degrees is 60 degrees.

Answer:2^1 × 3^2 × 13^1

Step-by-step explanation:

The correct location of each of the expressions obtained the properties of exponents are;

2; (3²·4³·2⁻¹)/(3·4)², ((3·2)⁴·3⁻³)/(2³·3)

1; (3⁻³·2⁻³·6³)/((4⁰)²)

1/2; (2⁴·3⁵/(2·3)⁵)

Exponential operations are operations involving two numbers, which includes the base number and the exponent.

The exponential expressions can be simplified using laws of indices or the properties of exponents as follows;

(2⁴·3⁵)/((2·3)⁵) = (2⁴·3⁵)/(2⁵·3⁵) =  (2⁴/2⁵) × (3⁵/3⁵)

(2⁴/2⁵) × (3⁵/3⁵) = (2⁴/2⁵) × 1 = 1/2

Therefore; (2⁴·3⁵)/((2·3)⁵) = 1/2

(3²·4³·2⁻¹)/((3·4)²) = (3²/3²)·(4³/4²)·(2⁻¹)

(3²/3²)·(4³/4²)·(2⁻¹) = 1 × 4 × (1/2) = 2

Therefore; (3²·4³·2⁻¹)/((3·4)²) = 2

((3·2)⁴·3⁻³)/(2³·3) = ((3⁴·2⁴)·3⁻³)/(2³·3)

((3⁴·2⁴)·3⁻³)/(2³·3) = (3⁴/3)·(2⁴/2³)·3⁻³ = (3³·3⁻³)·2 = 2

Therefore; ((3·2)⁴·3⁻³)/(2³·3) = 2

(3⁻³·2⁻³·6³)/((4⁰)²) = (3⁻³·2⁻³·6³)/1

(3⁻³·2⁻³·6³)/1 = (6³/3³)/2³

6³/3³ = 2³

Therefore; (6³/3³)/2³ = 2³/2³ = 1

(3⁻³·2⁻³·6³)/((4⁰)²) = 1

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There are 32 quarters, 225 dimes, and 53 nickels in the vending machine.

Let's denote the number of nickels by N, the number of dimes by D, and the number of quarters by Q.

From the first sentence, we know that:

N + D + Q = 292 (total number of coins)

From the second sentence, we know that:

D = 3(N + Q) (the number of dimes is three times the number of nickels and quarters together)

From the third sentence, we know that:

0.05N + 0.1D + 0.25Q = 29.95 (total value of the coins is $29.95)

Now we can substitute the second equation into the third equation to get:

0.05N + 0.1(3(N + Q)) + 0.25Q = 29.95

0.05N + 0.3N + 0.1Q + 0.25Q = 29.95

0.35N + 0.35Q = 29.95

N + Q = 85

We can now substitute this last equation into the first equation to get:

N + D + Q = 292

N + D + 85 = 292

N + D = 207

We can substitute the second equation into this last equation to get:

N + 3(N + Q) = 207

4N + 3Q = 207

We can now solve the system of equations consisting of the last two equations we derived:

N + Q = 85

4N + 3Q = 207

Multiplying the first equation by 4 and subtracting it from the second equation:

4N + 3Q - 4(N + Q) = 207 - 4*85

-N = -53

N = 53

Substituting this value into the equation N + Q = 85:

53 + Q = 85

Q = 32

Finally, we can use the equation D = 3(N + Q) from earlier to find the value of D:

D = 3(N + Q)

D = 3(53 + 32)

D = 225

Therefore, the vending machine contains 53 nickels, 225 dimes, and 32 quarters.

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According to Classification of Quadrilaterals,

i. Both rectangles have 4 sides - True

ii. Both rectangles have 4 right angle - True

iii. Both rectangles have all sides the same length - False

The classification of Quadrilaterals

Quadrilaterals are a type of geometric shape that have four sides. There are different types of quadrilaterals, and they can be classified based on the characteristics of their sides and angles. The main classifications of quadrilaterals are:

Trapezoid or Trapezium: a quadrilateral with only one pair of parallel sides.

Kite: a quadrilateral whose two adjacent pairs of sides are of equal length.

Parallelogram: a quadrilateral with opposite sides that are parallel to each other.

Rhombus: a quadrilateral with all sides equal in length.

Rectangle: a quadrilateral with opposite sides that are parallel and all four angles are right angles (90 degrees).

Square: a quadrilateral with all sides equal in length and all four angles are right angles (90 degrees).

These are the main classifications of quadrilaterals, and each type has its own specific properties and characteristics that distinguish it from the others.

According to the given information:

i. Both have 4 sides - True

A rectangle has four sides because it is defined as a quadrilateral with two pairs of parallel sides and four right angles. This means that opposite sides of a rectangle are parallel to each other and have the same length, while adjacent sides are perpendicular to each other and form right angles.

So, by definition, a rectangle must have four sides in order to meet these criteria and be classified as a rectangle.

ii. Both have 4 right angle - True

In a rectangle, by definition, opposite sides are parallel to each other and adjacent sides are perpendicular to each other. This means that each of the four corners of a rectangle must form a right angle, where two sides meet at a 90-degree angle.

iii. Both have all sides the same length - False

Not all rectangles have all sides the same length. While a square is a type of rectangle where all sides are equal, rectangles can have different lengths for their adjacent sides.

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Answer:

To find the value of "c" for which the number "a" (-5 in this case) is a solution of the equation, we can substitute "a" into the equation and solve for "c".

Given equation: 4x + 1 + 7c = 8c - 3x + 6

Substituting x with "a": 4(-5) + 1 + 7c = 8c - 3(-5) + 6

Simplifying the equation: -20 + 1 + 7c = 8c + 15 + 6

Combining like terms: -19 + 7c = 8c + 21

Moving all "c" terms to one side: 7c - 8c = 21 + 19

Simplifying: -c = 40

Dividing both sides by -1 to isolate "c": -c/-1 = 40/-1

Flipping the sign when dividing by a negative number: c = -40

So, the value of "c" for which the number "a" (-5) is a solution of the equation is c = -40.

Answer:

[tex]c=-40[/tex]

Step-by-step explanation:

Since a is a Solution to the Equation , then it satisfies the Equation

Substitute by [tex]x=a=-5[/tex] into the Equation [tex]4x+1+7c=8c-3x+6[/tex]

Then [tex]4(-5)+1+7c=8c-3(-5)+6[/tex]

Then [tex]-20+1+7c=8c+15+6[/tex]

By adding like-terms

Then [tex]-19+7c=8c+21[/tex]

Then [tex]8c-7c=-19-21[/tex]

Then [tex]c=-40[/tex]

Answer:

A. 60 miles

Step-by-step explanation:

2 in. = 15mi or like 2in+2in+2in+2in = 8in

15mi+15mi+15mi+15mi = 60mi

2×4 =8

/

/

v

4 × 15mi = 60mi

The value of k in the given graph is 4

Explain the term graph

A graph is a visual representation of data that displays the relationship between two or more variables. It consists of a set of points or vertices connected by lines or curves that represent the data points. Graphs are used to analyze and interpret data and to communicate information effectively in various fields, including mathematics, science, and business.

According to the given information

We are given that g(x) = f(x) + k, where f(x) and g(x) are two parabolas that open up and pass through the point (-3, -3) and (-3, 1), respectively.

Since both parabolas pass through the point (-3, -3), we know that:

f(-3) = -3

g(-3) = -3 + k = 1

Solving for k, we get:

k = 1 - (-3) = 4

Therefore, the value of k is 4.

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Using the functions, we can find the graphs for each function as follows:

Graph 3 is: g (x) = [tex]4^{x}[/tex]

Graph 4 is: h (x) = [tex]-4^{x}[/tex]

Graph 2 is: f (x) = [tex]-(\frac{1}{4})^{x}[/tex]

Graph 1 is: k (x) = [tex](\frac{1}{4})^{x}[/tex]

A function is a procedure or a relation that links each element of a non-empty set A, at least one element of another non-empty set B, to another element of the first non-empty set A. In mathematics, a relation f between two sets, A and B, is referred to as the function's domain and co-domain. For all values of a and b, f = (a,b)|

Based on elements like the domain and range of a function, as well as the function expression, the function y = f(x) is categorised into many categories of functions. The domain x value is referred to as input for the functions. The domain value can be a fraction, decimal, angle, integer, or decimal. The range is also represented by the y value or the f(x) value.

Graph 3 is: g (x) = [tex]4^{x}[/tex]

Graph 4 is: h (x) = [tex]-4^{x}[/tex]

Graph 2 is: f (x) = [tex]-(\frac{1}{4})^{x}[/tex]

Graph 1 is: k (x) = [tex](\frac{1}{4})^{x}[/tex]

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Answer:

30508

Step-by-step explanation:

5800(1+0.052)^5

We can use the formula for the volume of a cylinder: V = Ah, where A is the base area and h is the height.

Substituting the given values, we have:

720 cm³ = 36 cm² x h

Simplifying, we can divide both sides by 36 cm²:

20 cm = h

Therefore, the height is 20 cm.

Answer: b

Step-by-step explanation:

Answer:

216 mi^3

Step-by-step explanation:

First of all you need to find the area of the base (or top, they are the same)

It is a right-angled triangle, you can simply calculate the area of the base by

A = 6*8/2 = 24 mi^2

The volume of prism is (base area)*height

volume = 24*9 = 216 mi^3

10 is redundant anyway

Answer: the volume of the prism is 62.35 mi cube

Step-by-step explanation:

so first we will find the area of triangular base of the prism, using heron formula.

and s(semi-perimeter)= a+b+c/2= 6+8+10/2= 24/2=12

Area of triangle= A = sqrt [s(s-a)(s-b)(s-c)] = sqrt {12*(12-6)(12-8)(12-10)} = sqrt {6*4*2} = sqrt (48)= 6.92 mi square

Volume = Area x Height

V= 6.92 x 9 = 62.35 mi cube.

A linear equation that models the relationship shown in the table is: D. y = 0.8x + 9.75

In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical equation (formula):

y - y₁ = m(x - x₁)

Where:

First of all, we would determine the slope of this line;

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

Slope (m) = (10.55 - 9.75)/(1 - 0)

Slope (m) = 0.8/1

Slope (m) = 0.8

At data point (0, 9.75) and a slope of 0.8, a linear equation for this line can be calculated by using the point-slope form as follows:

y - y₁ = m(x - x₁)

y - 9.75 = 0.8(x - 0)  

y = 0.8x + 9.75

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Answer:

Step-by-step explanation:

the answer is D

Answer:

D. 5¹⁵ is the correct answer.

There are 65,000 possible passwords of length 5 that can be made with no repeats allowed.

What is length?

Length is a measure of distance between two points or the extent of something along its longest dimension. It is one of the basic dimensions in geometry and can be defined as the distance between two points measured in one dimension, typically along a straight line.

Since at least one character must be a symbol, there are 5 choices for the first character. For the remaining four characters, there are 10 choices (0 to 9) for each character if digits are allowed, 26 choices (a to z) for each character if lowercase letters are allowed, and 5 choices for each character if the other symbols are allowed.

Therefore, the total number of passwords of length 5 that can be made, with no repeats allowed and at least one character being a symbol, is:

5 * (10 * 26 * 5 * 5 * 5)

Simplifying the expression, we get:

5 * (13,000)

65,000

Therefore, there are 65,000 possible passwords of length 5 that can be made with no repeats allowed, at least one character being a symbol, and characters being digits, lowercase letters, or any of the 5 symbols !$%&*.

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Answer:

The formula for the surface area of a cylinder is:

S = 2πrh + 2πr^2

where S is the total surface area, r is the radius of the base, and h is the height.

For one lipstick, the surface area is:

S = 2π(0.6)(2.4) + 2π(0.6)^2

S = 2.88π + 0.72π

S = 3.6π

To wrap 4 lipsticks, we need to multiply this surface area by 4:

S = 4(3.6π)

S = 14.4π

Therefore, the makeup artist will need approximately 14.4π square inches of gift wrap to wrap 4 lipsticks.

Answer:

Step-by-step explanation:

Total surface area of a cylinder = 2πr(r + h)

2 π (.6) (.6 + 2.4)

2 π .6 (3)

1.2π (3)

3.6 π  square inches

Mulitply by four for four lipsticks:

3.6π × 4 = 14.4π sq inches

Answer: $10.92

Step-by-step explanation:

Since there are 16 ounces in a pound, 8 ounces would be equivalent to half a pound. Thus, 3 pounds and 8 ounces = 3.5 pounds.

Since apples cost $3.12 per pound and we have 3.5 pounds, the total cost would be $3.12*3.5 pounds = $10.92

Answer:37.8

Step-by-step explanation:

Answer:

105%

Step-by-step explanation:

First, do 63 x 100 then do 60 x 10 then you get 630 and 600.

Put 630 over 600. 630 / 600 is 1.05, which is converted to 105%

Answer:

  90

Step-by-step explanation:

You want to know the number of times in 360 trials that the same letter will appear twice in a row using a fair 4-letter spinner.

The table shows 4 outcomes of the 16 possible that have the same letter repeated. That's a probability of a repeated letter of 4/16 = 1/4.

The expected number of repeated letters in 360 trials is the number of trials times the probability of a repeat:

  expected repeats = 360 × 1/4 = 90

You predict there will be 90 repetitions in 360 trials.

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