a man has two shirts and nine ties asuuming that they all match how many diferent shirtt and tie combination can he wear

Answer:

A. 70>5g+61

Step-by-step explanation:

$5 per gigabyte means $5g

$61 + 5g

he keeps his budget lower than $70 so,

5g + 61 < 70

Answer: -4.8, -4.08, -3.9, 0, 3, 3.1

Step-by-step explanation:

Think of these numbers on a number line. Starting at zero number to the right all positive numbers ex: 0,1,2,3,4

Then, starting at zero moving left number negative numbers ex: -4,-3,-2,-1,0

Answer::

Explanation:

Let the number of lasagna cupcakes made = x

Let the number of Gorgonzola onion tarts made = y

0. It takes ,10 minutes, to assemble each pan of lasagna cupcakes.

1. It takes ,15 minutes, to roll out the Gorgonzola onion tarts and fill each pan.

2. She has a maximum of ,2 hours (120 minutes), to assemble the appetizers.

These translate to the inequality:

0. Each pan of lasagna cupcakes takes 20 minutes to bake.

1. Each pan of Gorgonzola tarts takes 6 minutes to bake.

2. She has 60 minutes to bake the appetizers.

These translate to the inequality:

Since she must bake either lasagna cupcakes or Gorgonzola tarts, we have that:

So the system of inequalities is:

The graph that bests represents this scenario is:

The fraction that Brian can iron in a minute is 5/81.

A fraction is simply a piece of a whole. The number is represented mathematically as a quotient where the numerator and denominator are split. It should be noted that in a simple fraction, the numerator as well as the denominator are both integers. On the other hand, a fraction appears in the numerator or the denominator of a complex fraction.

Here, set up a proportion (shirt ironed/minutes = shirt ironed/minutes). I'll convert 3 3/5 to an improper fraction as well to set it up.

(2/9) / (18/5) = x / 1

Cross multiply

2/9 = (18/5)x

Multiply both sides by 5/81 to solve for x.

x = 10/162

In this case, it should be noted that we can reduce 10/162 to the lowest term. This will be 5/81

The clothes that Brian can iron will be 5/81.

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Complete question

Brian irons 2/9 of his shirt in 3 3/5 minutes. If Brian irons at a constant speed how much of his shirt does he iron in a minute

Answer:

try the diamond see if that works sorry if its wrong

Triangle is  most likely the next step in the series, option D is correct.

Sequence is an enumerated collection of objects in which repetitions are allowed and order matters.

The first polygon is hexagon which has 6 sides

The second polygon is Pentagon which has 5 sides

The third polygon is square which has 4 sides

As we observe one side is decreasing from the each polygon from 1st to 3

So the fourth polygon will have three sides which is triangle

Hence, triangle is  most likely the next step in the series, option D is correct.

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A. The result of the iterated integral by converting to polar coordinates is 0.

To evaluate this iterated integral, we will convert it to polar coordinates. First, we need to make the substitution x = rcos(θ) and y = rsin(θ). Then, we will need to find the limits of integration for r and θ. The region of integration is the area between the circles with radii a and 2 and between the x-axis and y-axis.

In polar coordinates, the integral becomes ∫∫r dr dθ from r = a to r = 2, and θ = 0 to θ = π/2.

We can now solve the integral by multiplying the integral of r by the integral of θ.

∫2^2 r dr dθ = ∫π/2^0 (-1/2)r^3 dθ = -1/2 * [(r^2)/2] from r = 2 to r = a = -1/2*(2^2 - a^2) = -1/2*(4-a^2) = -2+a^2/2

So the result of the integral is -2+a^2/2 = -2+4/2 = -2+2 = 0

Note that this is not a common way to solve iterated integrals, but rather a way to check the correctness of the solution. The common way is to find the limits of integration by solving the inequality and graphing the area of integration.

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Answer:

1.375

Step-by-step explanation:

11 divided by 8 = 1.375

A proportion is an equation in which two ratios are set equal to each other. Then the value of 1 unit is 1.375.

What is a ratio?

A ratio is an ordered couple of numbers a and b, written as a/b where b can not equal 0.

The value of 8 units is 11.

Then the value of 1 unit will be

The value of 8 units is 11.

Then the value of the 1 unit will be 11/8.

That can be solved as

\(\dfrac{11}{8} = 1.375\)

Thus, the value of 1 unit is 1.375.

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After \(16\) months, there will be about \(5,545\) deer residing in the forest.

In a complex biological system known as a wood, trees dominate as the primary form of life. The most effective ecosystem in nature is a forest, where a high photosynthesis rate has an impact on both the animal and plant systems in a web of intricate biological interactions.

A forest is indeed an area of land with a variety of naturally occurring flora and animals because of different climatic conditions. Tropical forests, tropical rainforests, and other types of forest areas exist depending on their distinct qualities.

\(N = N0 * e^{rt}\)

where \(N0\) is the initial population, \(r\) is the monthly growth rate as a decimal, t is the time in months, and \(N\) is the final population.

In this case, we are given that the initial population is \(540\) deer and that the population increases by \(15\)% each month. We can convert this percentage to a decimal by dividing by \(100\),

\(r = 15\)% \(/ 100\)% \(= 0.15\)

So the exponential growth equation for this situation is:

\(N = 540 * e^{0.15t}\)

To find the population after \(16\) months, we simply plug in \(t = 16\)

\(N = 540 * e^{0.15*16} = 5,545.25\)

Therefore, there will be approximately \(5,545\) deer living in the forest after \(16\) months.

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Answer:

If y=32 when x=64

Then x=96 if y=48

X= 48*64÷32 = 96

The null hypothesis rejected represents there is evidence the proportion of members engaged in professional networking within last month is different from established percentage.

Using a hypothesis test we have,

Let p be the proportion of employees in the company who engage in professional networking within the last month.

The null hypothesis represents,

The proportion of employees who engage in professional networking within the last month is equal to the established percentage of 55%.

H0: p = 0.55

The alternative hypothesis represents ,

The proportion of employees who engage in professional networking within the last month is different from 55%.

Ha: p ≠ 0.55

Use a two-tailed z-test for the proportion to test this hypothesis, with a significance level of 0.05.

The test statistic is,

z = (p₁ - p) / √(p(1-p)/n)

p₁ is the sample proportion

p is the hypothesized proportion

And n is the sample size.

Here,

p = 0.55

n = 980

p₁ = 500/980

   = 0.51.

Substituting these values, we get,

z = (0.51 - 0.55) / √(0.55(1-0.55)/980)

  = -1.96

The critical values for a two-tailed test with a significance level of 0.05 are ±1.96.

Since the test statistic (-1.96) falls within the critical region.

Reject the null hypothesis

Therefore, there is evidence that the proportion of employees who engage in professional networking within the last month is different from the established percentage of 55%.

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The statement that would be true from what we have here would be that opposite angles of a parallelogram are congruent. Option C

A special kind of quadrilateral known as a parallelogram is one in which both sets of its opposite sides are parallel and equal.

PQRS is a parallelogram, therefore.

PQ ≅ RS

QR ≅ PS

Using the SSS criterion, PQR and PQS both equal RSP and RQS.

As a result, since the corresponding angles of congruent triangles are congruent, ∠QPS ≅ SRQ and ∠PQR ≅ ∠RSP.

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the value of x=1/2 or 2.

What is quadratic equation?

it's a second-degree quadratic equation which is an algebraic equation in x. Ax2 + bx + c = 0, where a and b are the coefficients, x is variable, and c is the constant term, is the quadratic equation in its standard form. A non-zero term (a 0) for the coefficient of x2 is a prerequisite for an equation to be a quadratic equation. The x2 term is written first, then the x term, and finally the constant term is written when constructing a quadratic equation in standard form. In most cases, the numerical values of letters a, b, and c are expressed as integral values rather than fractions or decimals.

Solve the following equation using the zero-product property.

(4x+2) (x-2) = 0

here either 4x+2 = 0 or x-2 = 0

So for 4x+2=0

x = 1/2 or

x-2=0

x=2

Hence the value of x=1/2 or 2.

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To find the surface area of the figure, we need to consider the individual surfaces and add them together.

First, let's identify the surfaces of the figure:

The lateral surface area of the larger prism (excluding the base)

The two bases of the larger prism

The lateral surface area of the smaller prism (excluding the base)

The two bases of the smaller prism

The lateral surface area of a prism is given by the formula: perimeter of the base multiplied by the height.

The bases of the prisms are rectangles, so their areas can be calculated by multiplying the length by the width.

To find the missing prism's surface area, we need to consider that it is a smaller prism nested inside the larger prism. The lateral surface area and bases of the missing prism should also be included.

Once we have calculated the individual surface areas, we add them together to find the total surface area of the figure.

Without specific measurements or dimensions of the figure, it is not possible to provide a numerical answer. Please provide the necessary measurements or dimensions to calculate the surface area.

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Answer:

the group bought 10 burger and 12 drinks

Step-by-step explanation:

6.25×10=62.5

92.50-62.5=30

30÷2.50=12

The perpendicular from the center to a secant of a circle will bisect the secant. The intersection of perpendicular bisectors will be the center of the given circle passing through D, E, and F.

Points D, E, and F are not in a line. It is required to construct a circle through points D, E, and F.

The given construction steps are:

Draw line segments ("DE" ) and ("EF" ).

Construct the perpendicular bisectors of ("DE" ) and ("EF" ).

Name the point of intersection of the perpendicular bisectors O.

The point O will be the center of the circle passing through the points D, E, and F.

The above conclusion is because the perpendicular from the center to a secant of a circle will bisect the secant. Here, both the perpendicular bisectors will pass through the center of the circle and hence, their intersection will be the center of the given circle passing through D, E, and F.

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if f(x, y) = xy, find the gradient vector ∇f(3, 7) and use it to find the tangent line to the level curve f(x, y) = 21 at the point (3, 7): This is the equation of the tangent line to the level curve f(x, y) = 21 at the point (3, 7).

To find the gradient vector ∇f(3, 7) for the function f(x, y) = xy, we first need to compute the partial derivatives of f with respect to x and y:

∂f/∂x = y
∂f/∂y = x

Therefore, the gradient vector ∇f is given by:

∇f = (∂f/∂x, ∂f/∂y) = (y, x)

Evaluating ∇f at the point (3, 7), we get:

∇f(3, 7) = (7, 3)

This is the gradient vector at the point (3, 7) on the level curve f(x, y) = 21.

To find the tangent line to the level curve at (3, 7), we can use the fact that the gradient vector ∇f is orthogonal to the level curve at each point. In other words, the tangent line at (3, 7) is perpendicular to the vector (7, 3).

Recall that the equation of a line in two dimensions can be written as:

y - y_0 = m(x - x_0)

where m is the slope of the line and (x_0, y_0) is a point on the line.

To find the slope of the tangent line at (3, 7), we can use the fact that it is perpendicular to the gradient vector ∇f(3, 7). The dot product of two orthogonal vectors is zero, so we have:

(7, 3) · (x - 3, y - 7) = 0

Expanding the dot product and solving for y, we get:

7(x - 3) + 3(y - 7) = 0
y - 7 = (-7/3)(x - 3)

This is the equation of the tangent line to the level curve f(x, y) = 21 at the point (3, 7).

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The recursive rule for this sequence is given as follows;a(n) = -3a(n-1)

Recursive rule for the following sequence: 5, -15, 45, -135, . . . :This sequence is formed by multiplying each term by -3 to get to the next term. That is 5 x (-3) = -15 and -15 x (-3) = 45.The first term of the sequence is 5.

The recursive rule for this sequence is given as follows;a(n) = -3a(n-1)

where n is the position of the term, a(1) = 5 and -3 is the common ratio. Therefore, the next term in the sequence can be generated by multiplying the previous term by -3.In a recursive rule, we define a sequence of numbers such that the rule is applied to a term to produce the next term until we get the desired term of the sequence.

The recursive rule for a sequence is a formula that specifies the nth term in a sequence based on the previous term. This is a linear recursive rule because the sequence is multiplied by a constant in order to generate the next term.

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Answer:

Answers are in bold

Data set A:

Mean: 7

Median: 7

Mode: 7

Range: 11

Data set B:

Mean: 78

Median: 95

Mode: No mode or all the numbers (85, 105, 95, 90, 115)

Range: 30

Data set C:

Mean: 13

Median: 13

Mode: 11 and 16

Range: 7

Step-by-step explanation:

You're welcome.

Answer: y=-x+1

Step-by-step explanation: So we know one equation of the line. And we know the slope of our soon to be line (the line that we're trying to find) So what you do is you graph it and then get your equation in slope intercept form. (I also noticed in your attached picture that the only problem you couldn't get had a negative slope, so incase you don't know  it means it's not going from top to bottom, but from bottom to top(in simple terms))

Answer:

r = -5/9

Step-by-step explanation:

The statement which accurately describes the helicopter's force is: C. the toy helicopter is flying forward with a force of 5 N and upward with a force of 5 N.

Newton's Third Law of Motion states that for every action there is an equal but opposite reaction. This ultimately implies that, in every interaction, there is a pair of forces acting on the two interacting objects.

Next, we would determine the resultant forces in the two scenarios as follows:

Resultant force A = Forward force - Wind force

Resultant force A = 15 N - 10 N

Resultant force A = 5 Newton.

Resultant force B = Upward force - Force of gravity

Resultant force B = 10 N - 5 N

Resultant force B = 5 Newton.

In this context, we can reasonably infer and logically deduce that the toy helicopter is flying forward with a force of 5 N and upward with a force of 5 N.

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Answer: Y = e^2

The steps are shown in the picture!

In this experiment, there is an independent variable that is the time spent playing video games.

In research there are different ways to test a hypothesis. One of them is the experiments in which we have one or more factors that can be modified to alter the result.

These factors are known as independent variables because their variation does not depend on other factors. On the contrary, they influence the variation of other factors that are known as dependent variables.

According to the above, it can be inferred that time is the independent variable of this research because its modification is planned to evaluate the different variables that it can cause.

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The sum of the interior angles of a regular hexagon is S = 720° and each angle of the regular hexagon x = 120°

The sum of the interior angles of a polygon is given by the formula

Sum of Interior angles of a polygon with n sides is

nθ = 180 ( n - 2 )

where n is the number of sides

θ = angle in degrees

Given data ,

Let the sum of the interior angles of the hexagon be S

Now , the number of sides for a hexagon = 6

And ,Sum of Interior angles of a polygon with n sides is

nθ = 180 ( n - 2 )

Substituting the values in the equation , we get

6θ = 180 ( 6 - 2 )

On simplifying the equation , we get

6θ = 180 x 4

6θ = 720°

Therefore , the sum of angles is 720°

And , the value of x = 720 / 6 = 120°

Hence , the sum of interior angles of hexagon is 720°

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The null and different hypotheses for hypothesis test are

\(H_{0}\) : P =0.63 against \(H_{1}\) p \(\neq\) 0.63

Null hypotheses

Given that:

sample size (η)= 196

sample proposition (p^) = 114/196

Let p denote the population proportion of people who use a loyalty card.

The percentage of shoppers use loyalty cards in their stores has remittent from sixty-three in 2014. [That is, whether or not the proportion has shifted from zero to 1] .63]

Hence, the null and alternative hypothesis are

\(H_{0}\) : P =0.63 against \(H_{1}\) p \(\neq\) 0.63

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The option that represents the distance between the two points on the graph shown above would be = 3.5. That is option B.

The formula that can be used to calculate the distance between the two points;

= √ (x2-x1)²+(y2-y1)²

where;

X1= -3

x2 = 0.5

y1 =0

y2 = 0

= √(-3-0.5)²

= √(-3.5)²

= √12.25

= 3.5

Therefore the distance between the given points = 3.5

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The  equation that shows the number of calories, c, in terms of the number servings, n  where Han wants to know how many calories he gets from the fruit snacks is  c = 90n.

Based on the provided information from the question, whereby Han wants to know how many calories he gets from the fruit snacks,  and was able to find the multilication of  number of servings, n, with calories per serving.

Therfore, we  can write the equation  as c = 90n since it is about the multiplication of the variables.

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complete question;

Each serving of a certain fruit snack contains 90 calories. Han wants to know how many calories he gets from the fruit snacks. Write an equation that shows the number of calories, c, in terms of the number servings, n. Complete the equation below c=______ Use n as your variable.