Geri encarga arreglos florales para un almuerzo de agradecimiento para un maestro.Planea comprar hasta ocho arreglos de mesa que cuestan $5 cada una,con una tarifa de $10 por todo el pedido.Representa gráficamente la función para el precio.

To write the numbers in increasing order, we start from the most negative to the most positive:

Answer

-3.45, -3.42, 0.99, 1.99, 2.01

We will solve this problem thus:

Solving further we will have:

Answer: 46

Step-by-step explanation:

180 - 134 = 46

Answer:

< 6 = 58°

< 8 = 58°

< 5 = 122°

<7 = 122°

Step-by-step explanation:

<6 = <8 because corresponding angles are equal

5y + 13 = 7y -5  Subtract 5 y from both sides

13 = 2y -5  Add 5 to both sides

18 = 2y

9 = y

Now that we know that y = 9, we plug it back into either equation

5y + 13

5(9) + 13

45 + 13

58

<5 is supplemental to <6  so 180 - 58 = 122

<8 is supplemental to < 7 so it is 122 also

The value of x in the figure is 3

How to find x from the figure?

Let us re -write the given values as fractions

[tex]\frac{5}{8} =\frac{x+3.25}{10} \\\\[/tex]

By applying cross multiplication method,

5(10) = 8(x+3.25)

50 =8x +26

8x = 50-26

8x = 24

x = 3

Similarly re- writing next set of vales as fractions,

[tex]\frac{2}{5} =\frac{2.5}{x+3.25} \\\\[/tex]

By applying cross multiplication method,

2(x+3.25) = 5(2.5)

2x+6.5 = 12.5

2x = 12.5 - 6.5

2x = 6

x = 3

What is cross multiplication of fractions?

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The probability of the required event is [tex]\frac{1}{2}[/tex]

Number of batteries removed by Elon = 2

And then he mixed these batteries with the other two batteries

Thus total number of batteries = 4

These 4 batteries as given is identical

Now since it is given in the question that there aren't any replacements thus it means that we don't have to apply the Baye's theorem. So we can simply write it as it is mentioned below.

Thus the probability of taking out two batteries which are good without any replacement :

Probability = [tex]\frac{number of outcomes }{total number of favorable outcomes}[/tex]

Given number of outcomes = 2

Total number of favorable outcomes = 4

Thus the probability of the given event is = [tex]\frac{2}{4}[/tex]

Thus P( E ) = [tex]\frac{1}{2}[/tex]

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The volume of the tree trunk increases 52.64% in one year.

Given,

The height of a tree trunk = 100 inches

The diameter of a tree trunk = 5 inches

Diameter increases 1 inch per year

Height increases 6 inches per year

We have to find the increase in its volume.

Consider the trunk as a circular cylinder.

Volume of circular cylinder = πr²h

Radius, r = 5/2

Height, h = 100

Initial Volume =  πr²h

Volume = π × (5/2)² × 100 = π × 6.25 × 100 = 1963.50 cubic inches

After one year

Diameter = 6

Height = 106

Increased Volume =  πr²h

Volume = π × (6/2)² × 100 = π × 9 × 106 = 2997.08 cubic inches

The rate of increase in volume = (Increased volume × 100) ÷ Initial volume

= (2997.08 × 100) ÷ 1963.50 = 152.64

That is,

The volume of the tree trunk increases 52.64% in one year.

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We can solve this question using the formula for compound interest:

F = ?

P = $2500

i = 1.75

n = 4

Then, we have:

The value of her account after 4 years is about $2679.65.

Answer:

1. C = 8π cm

2. C = 25.1 cm

3. A = 16π cm²

4. A = 50.3 cm²

Explanation:

Part 1.

The circumference of a circle can be calculated as

Where r is the radius. So, replacing r = 4 cm, we get:

C = 2π(4 cm)

C = 8π cm

Part 2.

To round the circumference to the nearest tenth, we need to replace π = 3.14, so

C = 8(3.14) cm

C = 25.1 cm

Part 3.

The area of a circle can be calculated as

A = πr²

Replacing r = 4cm, we get:

A = π(4 cm)²

A = 16π cm²

Part 4.

To round to the nearest tenth, we need to replace π = 3.14, so

A = 16(3.14) cm²

A = 50.3 cm²

Therefore, the answers are

1. C = 8π cm

2. C = 25.1 cm

3. A = 16π cm²

4. A = 50.3 cm²

The first step is to collect like terms:

This is done by adding 6 to both sides of the equation

1) add 6 to both sides (option D)

2x/3 -6+6 = 2+6

2x/3 = 8

The second step is to cross multiply OR

multiply both sides of the equation by 3

2x = 8(3)

2x = 24

2) Multiply both sides by 3 (option A)

The third step is to divide both sides by 2

2x/2 = 24/2

3) Divide both sides by 2 (option B)

x = 24/2

4) x = 12 (option C)

Answer:

112 yards

Step-by-step explanation:

quarter is 1/4 right¿

28 × 4 = 112

Answer:

they do NOT create a right-angled triangle

Step-by-step explanation:

to make a right-angled triangle the side lengths must comply with Pythagoras

c² = a² + b²

c being the Hypotenuse (the side opposite of the 90° angle), a and b are the legs.

the side lengths in this ABC triangle are :

AB² = (2 - -2)² + (2 - -1)² = 4² + 3² = 16 + 9 = 25

AB = 5

BC² = (-2 - -3)² + (-1 - 2)² = 1² + (-3)² = 1 + 9 = 10

BC = sqrt(10)

CA² = (-3 - 2)² + (2 - 2)² = (-5)² + 0² = 25

CA = 5

so, this is an isoceles triangle (2 equal legs).

the side lengths 5, 5, sqrt(10) do NOT create a right-angled triangle.

no matter how we combine their squares in the Pythagoras formula, it does not work :

10 = 25 + 25 = 50 no.

25 = 10 + 25 = 35 no.

∠10 and ∠16 are Alternate exterior angles, ∠4 and ∠12 are Consecutive exterior angles, ∠12 and ∠13 are Consecutive Interior angles and ∠3 and ∠9 are Alternate Interior angles.

1. If two lines which are in the same plane are intersected by another line at two different lines, eight angles are formed, and that another line is called the transversal.

In the provided figure,

In the angles,

∠10 and ∠16, q is the transversal and these are Alternate exterior angles.

∠4 and ∠12, n is the transversal and these are Consecutive exterior angles.

∠12 and ∠13, q is the transversal and these are Consecutive Interior angles.

∠3 and ∠9, n is the transversal and these are Alternate Interior angles.

2. Referring tot the cube ABCDHGFE,

a. All planes that are parallel to the plane DEH are CBF and FGC.

b. All segments that are parallel to AB are EF, HG and DC.

c. All segments that intersect GH are EH, HG, FG and CG.

d. All segments that are skew to CD are AB, EF and HG.

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The price including tax is $151.16

What is tax?

A tax is a mandatory financial charge or other type of levy imposed by a governmental organization on a taxpayer (an individual or legal entity) in order to fund government spending and various public expenditures (regional, local, or national), and tax compliance refers to policy actions and individual behavior aimed at ensuring that taxpayers pay the correct amount of tax at the correct time and receive the correct tax allowances and tax reliefs. The earliest known taxes occurred in Ancient Egypt between 3000 and 2800 BC. Failure to pay on time (non-compliance), as well as avoidance or resistance to taxation, is illegal and punished by law. Taxes can be paid in cash or in labor equivalents and can be direct or indirect.

Selling price of TV = $167.77x0.85 (15% discount)

                               = $142.6025

Price of TV (including tax) = $142.6025x1.06 (6% tax)

                                           = $151.16

Hence, the price including tax is option (c) $151.16

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Using the z-distribution, the 95% confidence interval for the proportion of male respondents that agree that a working mother does not hurt children is:

(0.1439, 0.2161).

The bounds of a confidence interval of proportions is given according to the following rule:

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which the parameters are described as follows:

The confidence level is of 95%, hence the critical value z is the value of Z that has a p-value of [tex]\frac{1+0.95}{2} = 0.975[/tex], so the critical value is z = 1.96.

The values of the other parameters are given as follows:

[tex]\pi = 0.18, n = 435[/tex]

Hence the lower end of the interval is calculated as follows:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.18 - 1.96\sqrt{\frac{0.18(0.82)}{435}} = 0.1439[/tex]

The upper end of the interval is calculated as follows:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.18 + 1.96\sqrt{\frac{0.18(0.82)}{435}} = 0.2161[/tex]

The problem asks for the 95% confidence interval for the proportion of male respondents that agree that a working mother does not hurt children is:

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Solution

Step 1

Write the nth term ex[pression and the common ratio formula.

Step 2

Step 3

Final answer

The covid strain will take 17.33 weeks to infect 800,000 people.

To solve the given problem, we only need to utilize the exponential function formula, which is stated as

[tex]A = Pe^{rt}[/tex]

Where A is the final value,

P denotes the starting value

The rate is r and time is given by t.

Given:

The rate of spread of the new strain of covid = 12% a week

Currently the number of people infected with the virus = 100,000

To determine how long will it take before the virus has infected 800,000 people, substitute the values in the formula

[tex]A = Pe^{rt}[/tex]

[tex]800000 = 100000e^{0.12*t}[/tex]

[tex]8 = e^{0.12*t}[/tex]

[tex]ln 8 = {0.12*t}[/tex]

[tex]t = ln 8/0.12[/tex]

[tex]t = 17.33 weeks[/tex]

Therefore, the covid strain will take 17.33 weeks to infect 800,000 people.

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We have the following configuration for this problem:

where y is the distance, in feet, Corey stepped back.

Then, we have:

And:

Now, using the first into the second equation, we obtain:

Therefore, Corey stepped back approximately 59.71 feet.

The question we have to solve is:

To solve this equation, we take all the "s"'s to one side and numbers to the other and simplify:

When we want to divide by a fraction, we mulitply by its reciprocal. So,

Base of the rectangle is 9 inches.

You may determine the area of any form by counting how many unit squares fit inside of it.

In this context, a square with a side of 1 unit is referred to as a unit square.

In other words, the area of the rectangle is equal to the number of unit squares inside its perimeter.

Area = base * height

Given,

Area = 108 in²

height = 12 inches

put these values in given formula,

108 = 12 * base

base = 108 / 12

       = 9 inches

Therefore, Base of the rectangle is 9 inches.

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2 1/6 is the answer

9 3/4 divided by  4 1/2 = 2 1/6

To find the volume of a triangular pyramid, the formula is:

So we start by finding the area of the base, which is in the shape of a right triangle in this case.

The area of a right triangle is equal to 1/2 x base x height.

We use this area to find the volume.

The volume of the triangular pyramid is 30 cubic feet.

Answer:

x=20

Step-by-step explanation:

To find x you must first set up an equation. (3x+90+90+120=360) the reason why i did that is because the red boxes indicate that they are 90° angles. They add up to 360 is because the quadrilaterals add up to 360. after solving for x, you should get x = 20.

Six times menas multiply by six:

a number = x

The sum of -5 and six times a number

-5 + 6x

Answer: We have to select the statistical questions out of the given options,

the statistical questions are any questions that involve the use of data, therefore following options are the statistical questions:

Therefore (1) (2) and (4) use the data, they are the statistical questions.

The representative took a sample to estimate the proportion of customers that do not subscribe to movie channels.

He took a sample from the customer base and the sample proportion he gets is 22% (p = 0.22). This sample proportion is an unbiased estimator of the populations proportion, so we can use it to calculate how many customers do not subscribe to movie channels:

Answer: we can estimate that there are 1153 customers that do not subscribe to movie channels.

Answer:

d

Step-by-step explanation:

The number of years must be non-negative. This eliminates all of the options except for d.

Considering the given quadratic function, it is found that:

1. The rocket splashes down after 50.8 seconds.

2. The rocket peaks at 3365.3 meters above sea level.

The height of the rocket after t seconds is given according to the following rule:

h(t) = -4.9t² + 241t + 402.

Which is a quadratic equation with coefficients given by:

a = -4.9, b = 241, c = 402.

It splashes down when it hits the ground, that is, when h(t) = 0, hence:

-4.9t² + 241t + 402 = 0.

Then:

Time is a positive measure, hence it splashes down after 50.8 seconds.

The height of the rocket is a concave down quadratic equation, hence the maximum height is the y-coordinate of the vertex, given as follows:

[tex]h_{MAX} = -\frac{\Delta}{4a}[/tex]

Both these parameters have been found in the previous item, hence:

[tex]h_{MAX} = -\frac{65960.2}{4(-4.9)} = 3365.3[/tex]

3365.3 meters.

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