what is the domain of h please help :(((((((​

Answer:

23 purple marbles

115 yellow marbles

Step-by-step explanation:

Let y represent the yellow marble

Let p represent the purple marbles

So, we have the equations

y = 5p

Therefore, y + p = 138

5p + p = 138

6p = 138

p = 23 marbles

Now let's put 23 in for the p in the equation to find the number of yellow marbles

y = 5(23)

y = 115 marbles

On applying the Simple Interest for a time period of 39 years at rate 8% on $3029, the future value is obtained as 12479.48.

What is Simple Interest?

Simple interest is a way to figure out how much interest will be charged on a sum of money at a specific rate and for a specific duration of time. Contrary to compound interest, where we add the interest of one year's principal to the next year's principal to compute interest, the principal amount under simple interest remains constant.

The principal value of investment is, P = $3,029

The rate at which interest is earned is, R = 8%

The time period for the investment is, T = 39 years

Use the formula for Simple Interest -

S.I. = (P R T) / 100

S.I. = (3029 × 8 × 39) / 100

S.I. = 945048 / 100

S.I. = $9450.48

So, the interest earned is $9450.48.

Now, the total value of investment will be -

Principal Amount + Interest Earned

3,029 + 9450.48

12479.48

Therefore, the total value after investment is $12479.48.

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Answer:

3

Step-by-step explanation:

quantos veces puede 3 ir en 9? 3 veces

Answer:

the answer is 30 10x3 is 30

Step-by-step explanation:

it says 3 times as many so yeah!

Answer: I just took the test so the answer would be y=3,000x+12,000

Step-by-step explanation: hope this help thx for the points :D

The correct answer is a. Yes, every curve in the first family of curves is orthogonal to every curve in the second family of curves.

        To see why this is true, let’s consider the two families of curves x^2 + y^2 = ax and x^2 + y^2 = by. We can rewrite these equations in terms of y to get y = sqrt(ax - x^2) and y = sqrt(by - x^2). Taking the derivative of both equations with respect to x, we get:

        dy/dx = (a/2)(1/sqrt(ax - x^2)) - x/sqrt(ax - x^2) for the first family of curves and

        dy/dx = (b/2)(1/sqrt(by - x^2)) - x/sqrt(by - x^2) for the second family of curves.

                Now let’s consider a point (x0,y0) that lies on both a curve from the first family and a curve from the second family. This means that x0^2 + y0^2 = ax0 and x0^2 + y0^2 = by0. Solving these equations for a and b, we find that a = (x0^2 + y0^2)/x0 and b = (x0^2 + y0^2)/y0.

                 Substituting these values into our expressions for the derivatives above, we find that at the point (x0,y0), the slope of the tangent line to a curve from the first family is (1/2)(1/y0) - x0/y0 and the slope of the tangent line to a curve from the second family is (1/2)(1/x0) - y0/x0.

                 Two lines are perpendicular if and only if their slopes have a product of -1. In this case, we can see that at any point (x0,y0) that lies on both a curve from the first family and a curve from the second family, the product of their slopes is indeed -1.

          Therefore, every curve in one family is orthogonal to every curve in the other family.

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The statement that compares the distribution shapes is (C) Team A's scores are negatively skewed, and team B's are symmetric.

From the complete question (see attachment for box plots), we have the following highlights:

Hence, the statement that compares the distribution shapes is (C) Team A's scores are negatively skewed, and team B's are symmetric.

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Rounded to 1 decimal place, the wholesaler's in-stock probability during a normal week is approximately 89.2%.

To calculate the wholesaler's in-stock probability during a normal week, we need to consider the number of items that are available for the entire week and divide it by the total demand.

Total demand = 4,800 items

Items not available for the entire week = 250 items

Items available for only part of the week = 270 items

Therefore, the number of items available for the entire week can be calculated as follows:

Items available for the entire week = Total demand - Items not available for the entire week - Items available for only part of the week

                                = 4,800 - 250 - 270

                                = 4,280 items

The in-stock probability can be calculated by dividing the number of items available for the entire week by the total demand and then multiplying by 100 to convert it to a percentage:

In-stock probability = (Items available for the entire week / Total demand) * 100

                   = (4,280 / 4,800) * 100

                   = 89.1666...

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Answer:

a + 55 =180

a=180-55=125

b = 55 alternate angles

c=a=125 alternate angles

e =125. alternate angles

f=b=55

h=f=55 alternate angles

Step-by-step explanation:

(a) < a = 180-55= 125

(b) < b = 180- 125= 55

(c) < c = 189- 55 = 135

(d) < e = 125

(e) < f = 180-125= 55

(f) < h = 55

~

< a and < c are vertical angles.

< a and < b are adjacent angles.

< b and <h are Alternate interior angles.

< f and 55° are Alternate Exterior angles.

< a and < e are corresponding angles.

~

Answer: 55.6875

Step-by-step explanation:

Answer:

8.25

x6.75

Step-by-step explanation:

55.6875

When a multiple regression model created incorrectly then leaves out one and more than one important factors are omitted.

Multiple regression is a statistical way that can be used to analyze the relationship between a single dependent variable and several independent variables. Equation is written as y =

We have regressors x₁ and x₂ where both variables are determinants of the dependent variable. you first regressor y on x₁ only and find no relationship. however when regressing y on x₁ and x₂.

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Complete question:

consider the multiple regression model with two regressors x1 and x2, where both variables are determinants of the dependent variable. you first regress y on x1 only and find no relationship. however when regressing y on x1 and x2, the slope coefficient changes by a large amount. this suggests that your first regression suffers from:

The simplified answer is 27m^2

The simplification of the given expression is equal to (336a² + 27\(a^{(2-2m)\))/256.

To simplify the expression, let's start by expanding each term and then combining like terms:

Expand the first term (4\(a^m\) + 3)³

(4\(a^m\) + 3)³ = (4\(a^m\)  + 3)(4\(a^m\) + 3)(4\(a^m\)  + 3)

Using the binomial expansion formula for (a + b)³

(a + b)³ = a³ + 3a²b + 3ab² + b³

So, for (4\(a^m\)  + 3)³

(4\(a^m\)  + 3)³ = 4³ × (\(a^m\) )³ + 3 ×4² \(a^m\)  (\(a^m\) )²× 3 + 3 × 4× (\(a^m\) ) × 3² + 3³

= 64\(a^{(3m)\) + 144\(a^{(2m)\) + 108\(a^m\) + 27

Expand the second term (1/16\(a^{(1-m)\))²

(1/16\(a^{(1-m)\))² = (1/16\(a^{(1-m)\)) (1/16\(a^{(1-m)\))

Simplify the square of a fraction by squaring the numerator and denominator separately:

(1/16\(a^{(1-m)\))² = (1²)/(16²) × (\(a^{(1-m)\))²

= 1/(256) × \(a^{(2(1-m))\)

=\(a^{(2-2m)\)/256

Now, let's multiply both simplified terms:

(4\(a^m\) + 3)³ ×(1/16\(a^{(1-m)\))²

= (64\(a^{(3m)\) + 144\(a^{(2m)\)+ 108\(a^m\)+ 27)  (\(a^{(2-2m)\)/256)

Now, combine the terms with similar exponents:

= (64\(a^{(3m)\)  \(a^{(2-2m)\) + 144\(a^{(2m)\) \(a^{(2-2m)\)+ 108\(a^m\)  \(a^{(2-2m)\) + 27 × \(a^{(2-2m)\))/256

Using the property \(a^m \times a^n = a^{(m+n):\)

= (64\(a^{(3m + 2 - 2m)\)+ 144\(a^{(2m + 2 - 2m)\) + 108\(a^{(m + 2 - 2m)\)+ 27\(a^{(2-2m)\))/256

Simplify the exponents,

= (64a² + 144a² + 108a² + 27\(a^{(2-2m)\))/256

Now, combine the like terms:

= (336a² + 27\(a^{(2-2m)\))/256

Therefore,  the simplified expression is equal to (336a² + 27\(a^{(2-2m)\))/256.

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Answer:

B

Step-by-step explanation:

...........................................

Answer:

Step-by-step explanation:

question must be f(x)=5x-2/6

fog(x)= [5(6x+2/5)-2]/6 = [6x+2-2] /6 = x

gof(x)= [6(5x-2/6) +2]/5 = [ 5x-2+2]/5 = x

hence fog(x)=gof(x)

The sofa worth after two years is, $385,875.

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

We have to given that;

Andrew spent $350,000 on a new couch. The sofa's worth falls exponentially at a pace of 5% every year.

Now, We know that;

The formula for calculating exponentially is,

⇒ f (x) = a (1 + r)ˣ

Where, The f(x) term represents the function.

The a variable stands for the beginning value of your data.

The r variable represents the growth rate.

The x variable is the time interval.

Hence, The sofa worth after two years is,

⇒ f (x) = a (1 + r)ˣ

⇒ f (x) = 350,000 (1 + 0.05)²

⇒ f (x) = 350,000 × 1.05²

⇒ f (x) = $385,875

Thus, The sofa worth after two years = $385,875.

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The a) mean of the sample means is equal to the population mean.

This is because the mean of all of the sample means is a measure of the center of all of the samples, which is the same as the center of the population. This can be shown by calculating the arithmetic mean of the sample means.

The arithmetic mean of the sample means is calculated by summing the means and dividing by the number of samples. Since the sum of all the sample means is the same as the sum of the population, the mean of the sample means must also be equal to the population mean.

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20. The sample mean is an unbiased estimator for the population mean. This means: (a) The sample mean always equals the population mean. (b) The average sample mean, over all possible samples, equals the population mean. (c) The sample mean is always very close to the population mean. (d) The sample mean will only vary a little from the population mean. (e) The sample mean has a normal distribution.

The value of d for the given arrangement is, 6.67

An angle is a mathematical term, which we can define, when two straight lines or rays meet at a common endpoint. The common point is called the vertex of an angle. The word angle comes from a Latin word named ‘angulus,’.

Interior angles:- The inner angle made by the intersection of two polygonal sides.

Exterior angles:- The outer angle made by the intersection of two polygonal sides.

Given that,

The school's height = 30 ft

Suppose, her height = 4 ft

The distance of mirror from the school = 50 ft

Her distance from the mirror  = d

From the law of optics,

It is known that,

Angle of incident = Angle of reflection

So, the elevation angle of her and building's top  point will be same

Now it can be written as

tanα =  30/50

tanα =  4/d

Now equating both the expression,

30/50 = 4/d

3/5 = 4/d

d = 20/3

d = 6.67

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Based on the analysis, point D at (-7, 1) is the only solution to the system of inequalities y > -2x + 10 and y > (1/2)x - 2. Therefore, the correct answer is option d) D.

To determine which point is a solution to the system of inequalities y > -2x + 10 and y > (1/2)x - 2, we can test each point to see if it satisfies both inequalities.

a) Point E at (4, -2):

Substituting the coordinates into the inequalities:

-2 > -2(4) + 10 -> -2 > -8 + 10 -> -2 > 2 (False)

-2 > (1/2)(4) - 2 -> -2 > 2 - 2 -> -2 > 0 (False)

b) Point K at (2, 3):

Substituting the coordinates into the inequalities:

3 > -2(2) + 10 -> 3 > -4 + 10 -> 3 > 6 (False)

3 > (1/2)(2) - 2 -> 3 > 1 - 2 -> 3 > -1 (True)

c) Point B at (4, 7):

Substituting the coordinates into the inequalities:

7 > -2(4) + 10 -> 7 > -8 + 10 -> 7 > 2 (True)

7 > (1/2)(4) - 2 -> 7 > 2 - 2 -> 7 > 0 (True)

d) Point D at (-7, 1):

Substituting the coordinates into the inequalities:

1 > -2(-7) + 10 -> 1 > 14 + 10 -> 1 > 24 (False)

1 > (1/2)(-7) - 2 -> 1 > -3.5 - 2 -> 1 > -5.5 (True)

Based on the analysis, point D at (-7, 1) is the only solution to the system of inequalities y > -2x + 10 and y > (1/2)x - 2. Therefore, the correct answer is option d) D.

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Answer:

12.56 yards

Area of Triangle: \(\pi r^2\)

So, \(\pi\)\(2^2\)

Finally, 3.14*4 = 12.56

Step-by-step explanation:

The given expression "the square of a number is 3 less than four times the number" is represented as x² = 3 - 4x and the values of number could be: x1= 0.645 , x2= -4.645

In mathematics, when we refer "square of a number" we mean that the exponent of that number is 2. So we express it mathematically as:

x²

When we express "3 less than" of a number we mean that the number 3 is subtracting that number. So we express it mathematically as: 3 -

x² = 3 -

When we express "four times the number" we mean that the number is exactly 4 times greater than a number or that it contains it 4 times. So we express it mathematically as: 4x

x² = 3 - 4x

Organizing the values, we have a quadratic equation: x² + 4x – 3 = 0

Where:

Solving the quadratic question we get the values for the (x) number

x= {- b ± √ [b² - (4* a*c)]} / (2 *a)

x= {- 4 ± √ [4² - (4* 1*-3)]} / (2 * 1)

x= {- 4 ± √ (16 + 12)} / 2

x= {- 4± √ 28} / 2

x= (- 4 ± 5.29 ) / 2

x1= (- 4 + 5.29 ) / 2

x1= (1,29) / 2

x1= 0.645

x2= (- 4 - 5.29 ) / 2

x2= (9.29) / 2

x2= -4.645

We can check the values, replacing them into the equation:

(x1)² = 3 - 4(x1)

(0.645)² = 3 - 4*(0.645)

0.42 = 0.42

(x2)² = 3 - 4(x2)

(-4.645)² = 3 - 4*(-4.645)

21.58 = 21.58

It is an algebraic equation where the polynomial formed has three terms, one variable has an exponent 2, another in which the variable has exponent 1 and the last term without any variable. Its standard form is:

ax²+ bx + c = 0

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Answer:

6

Step-by-step explanation:

so this is (base times hight)

(bH)

42=7x

you didvide 7 from both sides

42 divided by 7 is 6

so basically its 6

because that would be your base thats what you are missing

then its just baseically (BH) (7 times 6)= 42

if this is wrong im so sorry I just learned this good luck

Answer:

Vol = 294 cubic ft

Step-by-step explanation:

Vol = l × w × h

But l × w is the area of the base. So another formula for volume is:

Volume =

Base area × height

V = Bh

This also works for any prism(any shaped base), cubes, and cylinders.

Here, V = 42×7

V = 294 ft^3

Answer:

c = 11.46 yd

Step-by-step explanation:

Formula we use,

→ (AC)² = (BC)² + (AB)²

Now the value of a will be,

→ c² = (8.1)² + (8.1)²

→ c² = 65.61 + 65.61

→ c² = 131.22

→ c = √131.22

→ [ c = 11.46 yd ]

Hence, value of c is 11.46 yd.

Answer:

The best way to decompose the composite figure to determine its area is as a semicircle, a trapezoid, and two rectangles. This way, we can use the following formulas to find the area of each part:

Area of a semicircle = 21​πr2, where r is the radius of the circle.

Area of a trapezoid = 21​(b1​+b2​)h, where b1​ and b2​ are the bases and h is the height of the trapezoid.

Area of a rectangle = l×w, where l is the length and w is the width of the rectangle.

Then, we can add up the areas of each part to find the total area of the composite figure. The other options are not as convenient because they either involve more parts or more complicated shapes. For example, option A would require finding the area of a triangle, which involves using trigonometry or the Pythagorean theorem. Option B would require finding the area of four triangles, which is more tedious than finding the area of two rectangles. Option C would require finding the area of a square, which is redundant because a square is a special case of a rectangle.

Step-by-step explanation:

The composite figure can be decomposed into a semicircle, a trapezoid, and two rectangles.

Option D is the correct answer.

It is a quadrilateral that has one pair of parallel sides and a height.

The area is calculated as: 1/2 x sum of the parallel sides x height.

Examples:

Area of a trapezium that has the parallel sides as 3 cm and 4 cm and a heght o 5 cm.

Area = 1/2 x (3 + 4) x 5

Area = 1/2 x 7 x 5

Area = 35/2 = 17.5 cm^2

We have,

The given figure can be decomposed into the following figure.

- Semicircle

- Trapezoid

- Two rectangles

Thus,

A semicircle, a trapezoid, and two rectangles.

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Answer:

here you go! :)

hope it helps!

Step-by-step explanation:

Answer:

y=2x+2

I hope this helped out!

Answer:

20 days

Step-by-step explanation:

The next common number is 20

Answer:

Step-by-step explanation:

1.Collect pairs of data where a relationship is suspected.

2.Draw a graph with the independent variable on the horizontal axis and the dependent variable on the vertical axis. ...

3.Look at the pattern of points to see if a relationship is obvious. ...

4.Divide points on the graph into four quadrants.

To calculate the probability that the first heart it detects with muscle damage is the 8th image geometric distribution should be used.

According to the question medbiz develops and sells medical imaging devices. they are developing a computer program that reads heart images and detects heart muscle damage.

Machine has success rate of 90%

Number of images of hearts with muscle damage = 100

To calculate the probability that the first heart it detects with muscle damage is the 8th image, geometric distribution should be used because  

Geometric distribution is a type of discrete probability distribution that represents the probability of the number of successive failures before a success is obtained in a Bernoulli trial. A Bernoulli trial is an experiment that can have only two possible outcomes, ie., success or failure

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The question is incomplete, the following question is complete:

MedBiz develops and sells medical imaging devices. They are developing a computer program that reads heart images and detects heart muscle damage. Early studies show the machine has a 90% success rate. The programs is shown 100 images of hearts with muscle damage. What distribution should be used to calculate the probability that the first heart it detects with muscle damage is the 8th image?

binomial distribution

geometric distribution

hypergeometric distribution

none of the other choices