What function is represented in the graph?
Select one:
y = 2(.5^x)
y = 2(3^x)
y = 3(.5^x)
y = 3(2^x)

Answer: Discover how a 3D solid shape can be made up from a 2D net. Understand how nets are formed with examples of common 3D polygons and prisms.

Step-by-step explanation:

Step-by-step explanation:

There are 4 ways to select an officer

   multiply this by the number of ways to select  2 others from the 15

4  *   15 C 2 = 4 *  15!/(2!13!)  = 420 ways to select

The two-way table constructed from the data showing the numbers of boys and girls that choose each dance category should look like this:

                         Boys      Girls         Total

Fall Fling            82          81             163

Spring Social     62         75             137

Total                 144        156            300

A two-way table is a data display tool that displays the frequencies for two different categories collected from a single group.

A two-way table use rows to represent one category variable and the columns to represent a second category variable, while the cells display the proportions or frequencies of each row and column combination.

The total number of boys in eighth grade = 144

The number of boys who choose to attend the Fall Fling = 82

Therefore, the number of boys who attend the Spring Social = 62 (144 - 82)

The total number of girls in eighth grade = 156

The number of girls who choose to attend the Spring Social = 75

Therefore, the number of girls who attend the Fall Fling = 81 (156 - 75)

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Answer:

62,  82, 163, 300

Step-by-step explanation:

I got this on study island

Answer:

b

Step-by-step explanation: makes sense

The percentage of boxes with green lamps is 60%, the correct option is C.

We are given that;

Number of boxes= 40

Green lamp boxes= 24

Now,

To calculate the percentage of boxes that contain green lamps, you need to divide the number of boxes with green lamps by the total number of boxes and then multiply by 100. This is according to the formula for finding a percentage of a number12.

=(24 / 40) x 100 = 60%

Therefore, by percentage the answer will be 60%.

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The cost of leasing the car is $28,780 and the cost of buying the car is $42,380.

Buying the car is more expensive than leasing by $13,600 over the 5-year period.

We have,

To calculate the cost of leasing the car, we first need to determine the total amount paid over the lease term:

= (Monthly payment x Number of months) + Down payment

= ($473 x 60) + $2,420

= $28,780

To determine the cost of buying the car, we first need to calculate the total loan amount:

= Cost of car - Down payment + Residual value

= $34,000 - $5,000 + $16,400

= $45,400

Now,

Total loan cost = (Monthly payment x Number of months) + Down payment

Total loan cost = ($623 x 60) + $5,000

Total loan cost = $42,380

So,

The cost of leasing the car is $28,780 and the cost of buying the car is $42,380.

To determine which option is less expensive, we can subtract the cost of leasing from the cost of buying:

Cost of buying - Cost of leasing = $42,380 - $28,780

Cost of buying - Cost of leasing = $13,600

So,

Buying the car is more expensive than leasing by $13,600 over the 5-year period.

Thus,

The cost of leasing the car is $28,780 and the cost of buying the car is $42,380.

Buying the car is more expensive than leasing by $13,600 over the 5-year period.

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To determine which objects hold the same amount of liquid as a 96-fluid-ounce jug, we need to convert each of the given measurements to fluid ounces and then add them up. Here are the conversions:

Two 1-quart bottles = 64 fluid ounces (2 x 32)

Two 1-pint bottles = 32 fluid ounces (2 x 16)

One 1-quart bottle and eight 8-ounce fluid glasses = 96 fluid ounces (32 + 8 x 8)

So, the objects that hold the same amount of liquid as a 96-fluid-ounce jug are:

One 1-quart bottle and eight 8-ounce fluid glasses

Three 1-quart bottles

Therefore, the correct answer is:

one 1−quart bottle and eight 8−ounce fluid glasses

three 1−quart bottles

The key features of the function f(x) = 2log₃(x+7) graphed below include the following:

In Mathematics and Geometry, a domain refers to the set of all real numbers for which a particular function is defined.

Furthermore, the vertical extent of any graph of a function represents all range values and they are always read and written from smaller to larger numerical values, and from the bottom of the graph to the top.

By critically observing the graph of this logarithmic function shown in the image attached above, we can reasonably and logically deduce the following domain and range:

Domain = [-7, ∞].

Range = [-∞, ∞].

In conclusion, we can logically deduce that this logarithmic function has a vertical asymptote is at x equal to negative seven.

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The solution of the expression -8+27÷(-3)-(-2)​ is determined by applying the rule of BODMAS as -35.

The solution of the expression is calculated by applying the following formula as shown below;

BODMAS;

Based on the rule of BODMAS, we solve the bracket first, then division, before addition and subtraction.

-8+27÷(-3)-(-2)​ = -8+27÷ -1

-8+27÷ -1 = -8 - 27

-8 - 27 = - 35

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Answer:

7 should go in the green blank.

10/x = x/7

Correct Option is,

D) Buy, because the expected rate is greater than the required rate.

Now, Based on the information you've provided,

To calculate the required rate of return, we can use the SML formula as;

Required rate of return = risk-free rate + beta x (expected market return - risk-free rate)

Plugging in the numbers, we get:

Required rate of return = 8% + 0.85 x (16% - 8%)

                                   = 14.6%

Since the expected rate of return for Stock S is,

= dividend yield + growth rate

= (1.1 / 22 + 8%),

= 9.4%

which is higher than the required rate of return of 14.6%,

Here, the stock is undervalued and would be a good buy.

Therefore, the answer is, option D) Buy, because the expected rate is greater than the required rate.

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The solution to a trignometric equation sin²x - 1 = 0 is x = { π/2,  3π/2}

Consider a trignometric equation,

sin²x - 1 = 0

We need to solve this trigonometric equation  for all values of angle x such that 0≤ x < 2π

Consider equation,

sin²x - 1 = 0

sin²x = 1

Takin square root,

sin(x) = ±1

when sin(x) = 1, then x = π/2

and when sin(x) = -1 then x = 3π/2

Therefore, required values of angle x = { π/2,  3π/2}

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The probability which is selected randomly from a lot of people living alone in the area in the 25-34 age range will be; 0.1487

Since the total digit of individuals living independently in the area = 31.6

The digit of individuals living in the area who fall within the 25 - 34 age range is 4.7

The probability formula will be

P = required outcome / Total possible outcomes

From the information provided above the given data is:

P(range 25 - 34) = 4.7 / 31.6

= 0.1487

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Complete sentence is,

⇒ ΔAGC ≈ ΔCDF

⇒ ΔCDE ≈ ΔCAB

And, The length of BC is, 51

The length of DE is, 132.7

We have to given that;

⇒ CF = 32

Hence, We get;

tan 24 = CF / DF

0.44 = 32 / DF

DF = 72.7

Thus, ΔAGC ≈ ΔCDF

Here, We have;

⇒ ΔCDE ≈ ΔCAB

In triangle BCG;

BC² = 24² + 45²

BC² = 576 + 2025

BC² = 2601

BC = 51

In triangle CEF;

⇒ EC² = CF² + EF²

⇒ 68² = 32² + EF²

⇒ 4624 = 1024 + EF²

⇒ EF² = 4624 - 1024

⇒ EF² = 3600

⇒ EF = 60

Thus, We get;

DE = DF + EF

DE = 72.7 + 60

DE = 132.7

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The amount of frosting in square centimeters it will take to cover the outside of the gingerbread house, pyramidal in shape, is about 12.65 square centimeters.

The surface area of a square pyramid is the sum of the area of the four triangular faces.

The surface area of the gingerbread house can be found as follows;

The height of the pyramid and the square base indicates;

The slant height of a face of the pyramid = √(3² + 1²) = √(10)

The surface area of the pyramid = 4 × (1/2) × 2 × √(10) = 4·√(10)

4·√(10) ≈ 12.65

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Answer: 19.1 is correct

Step-by-step explanation:

where a and c are the lengths of two sides of the triangle and C is the angle between them. To use this formula, we need to find side b and angle A.

We can use the Law of Cosines to find side b:

The term that refers to the basic characteristics of a population segment such as gender, age, and income is demographics.

We have,

Demographics refers to statistical data that describes a population and its characteristics, such as age, gender, income, education level, marital status, and other relevant factors.

Demographic information is commonly used by businesses and organizations to analyze consumer behavior, market trends, and patterns in the population.

By understanding the demographics of a particular population segment, businesses can tailor their products and services to better meet the needs and preferences of their target audience.

Demographic information is also used by government agencies and policymakers to allocate resources, plan for future development, and assess the needs of the population.

Thus,

The term that refers to the basic characteristics of a population segment such as gender, age, and income is demographics.

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The True statement is An equilateral triangle is always an isosceles triangle.

An equilateral triangle is always an isosceles triangle is True because isosceles triangle have two sides equal and equilateral have three sides equal.

A right triangle is never an isosceles triangle is False statement.

An obtuse triangle is sometimes an acute triangle is False statement.

An isosceles triangle is always a scalene triangle is False statement.

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Answer:

The total cost per month is $190.76 to the nearest cent.

Step-by-step explanation:

From the given table, the monthly service plan costing $52.00 is:

The base calling plan includes two lines.

Therefore, for 4 lines, we will need to pay for 2 additional lines per month:

⇒ $21.99 × 2 = $43.98 per month

If 3,487 minutes are used per month, then the overage of minutes is:

⇒ 3487 - 2000 = 1487 minutes per month

As the overage rate is $0.06 per minute, then the cost of the additional minutes is:

⇒ 1487 × $0.06 = $89.22 per month

Therefore, the total cost per month before tax is:

⇒ $52.00 + $43.98 + $89.22 = $185.20

To apply the federal tax of 3%, multiply the total cost by 1.03:

⇒ $185.20 × 1.03 = $190.756 = $190.76 (nearest cent)

Therefore, the total cost per month is $190.76 to the nearest cent.

Evaluating the expression (-9+5)+7×(-3), we get -25

From the question, we have the following parameters that can be used in our computation:

(-9+5)+7×(-3)

Evaluate the expressions in the bracket

So, we have

-4 + 7 * -3

Evaluate the products

So, we have

-4 - 21

Lastly, we have

-25

Hence, the solution is -25

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Answer: 2x + 12

Step-by-step explanation:

Let the cost of each sweater be x.

since she's buying 2, the total cost of the sweaters will be 2x.

Just tack on the + 12 at the end for the sunglasses :)

The number of childs plate are 201 and  adult's plate are 203.

Let's use C to represent the number of child plates and A to represent the number of adult plates.

We know that a child's plate costs $2.80 and an adult's plate costs $6.90.

Therefore, we can write two equations based on the information given:

The total number of plates served is 404

C + A = 404 ...(1)

C=404-A

The total amount collected is $1,963.50

2.8C + 6.9A = 1963.5 ..(2)

2.8(404-A)+6.9A= 1963.5

1131.2 - 2.8A +6.9A=1963.5

4.1 A =1963.5 -1131.2

4.1A=832.3

Divide both sides by 4.1

A=832.3/4.1

A=203

Now put A in equation (1)

C+203=404

C=404-203

C=201

Hence, the number of childs plate are 201 and  adult's plate are 203.

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Answer:

- angle T is congruent to angle U (given)

- NS is congruent to SH (given)

- angle TSN is congruent to USH (vertical angles are congruent)

So triangle TNS is congruent to triangle UHS by AAS.

The half-life of this radioactive element is approximately 2 years.

We have,

The decay of a radioactive element follows an exponential decay model of the form:

[tex]N = N_0 e^{-kt}[/tex]

where:

N0 is the initial concentration of the radioactive element

N is the concentration after time t

k is the decay constant

We are given that the element has decayed to 1/32 of its original concentration, which means that its current concentration is 1/32 times its initial concentration:

N/N0 = 1/32

Taking the natural logarithm of both sides and rearranging, we get:

ln(N/N0) = ln(1/32) = -3.465

Now we can use the formula for half-life, which relates the decay constant to the half-life t1/2:

t1/2 = ln(2) / k

We can solve for the decay constant k by using the information that the element has decayed to 1/32 of its original concentration in 10 years:

ln(N/N0) = -kt

-3.465 = -k x 10

k = 0.3465

Substituting this value of k into the formula for half-life, we get:

t1/2 = ln(2) / k = ln(2) / 0.3465 = 2.0 x 10^0 years = 2 years.

Therefore,

The half-life of this radioactive element is approximately 2 years.

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Answer:

Let's use "g" to represent the number of green lollies in the jar.

According to the problem, there are 6 more orange lollies than green ones, so the number of orange lollies is "g + 6".

We also know that there is only one red lolly.

The total number of lollies in the jar is 47, so:

g + (g + 6) + 1 = 47

Simplifying the equation:

2g + 7 = 47

Subtracting 7 from both sides:

2g = 40

Dividing by 2:

g = 20

So there are 20 green lollies in the jar.

And since there are 6 more orange lollies than green ones, there must be:

g + 6 = 20 + 6 = 26 orange lollies in the jar.

Step-by-step explanation:

A graph of y = 2x + 3 for values of x from -3 to 3 is shown in the image attached below.

Based on the information provided above, the required table can be constructed or developed as follows;

x                    y = 2x + 3              y___

-3                  y = 2(-3) + 3          -3

-2                  y = 2(-2) + 3          -1

-1                  y = 2(-1) + 3             1

0                  y = 2(0) + 3              3

1                   y = 2(1) + 3               5

2                  y = 2(2) + 3              7

3                  y = 2(3) + 3              9

In this scenario and exercise, we would use an online graphing calculator to graphically represent the given data set in the table on a graph as shown in the image attached below.

In conclusion, we can reasonably infer and logically deduce that the domain of this linear function y = 2x + 3 is [-3, 3] and the range is [-3, 9].

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1A) This sampling technique employed is known as a systematic random sample.

1B) The demographic examined in the study is the total production run of 15,600 LED monitors. The representativeness of the sample within such population is relied upon if every 120th monitor selected is an unbiased, irregular choice from the larger collective.

For question 2, the sampling method utilized here is called a convenience sample. Kenya only enquires the middle school pupils in her 7th grade science course, which cannot be characterized as a representative or randomly chosen group of all middle school learners.

The sample may not accurately reflect the population because it merely involves students in her lesson, and not necessarily those enrolled at her school or district.

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Answer:

26,225.3 = 3.14(12^2)h + (2/3)(3.14)(12^3)

26,225.3 = 452.16h + 3,617.28

452.16h = 22608.02

h = 50 feet

26,225.3 = π(12^2)h + (2/3)π(12^3)

26,225.3 = 144πh + 1,152π

144πh = 26,225.3 - 1,152π

h = (26,225.3 - 1,152π)/(144π)

h = 49.97 feet = 50 feet