How many area codes (ABC) would be possible if all three digits could be any value 3-9

Answer:

c

Step-by-step explanation:

Answer:

the answer is 5

Step-by-step explanation:

The maximum height reached by each stone is 40.5 meters.

The height of each stone above the ocean is given by the function:

h = -2t² + 2t + 40

This is a quadratic function in standard form, with a = -2, b = 2, and c = 40.

The maximum height reached by the stone occurs at the vertex of the parabolic curve described by this function.

The t-coordinate of the vertex is given as:

t = -b / 2a

Substitute the values of a and b,

t = -2 / (2×(-2)) = 0.5

So the maximum height is reached 0.5 seconds after the stone is thrown.

To find the maximum height, substitute the value of t into the function:

h = -2(0.5)² + 2(0.5) + 40 = 40.5 meters

Therefore, the maximum height reached by each stone is 40.5 meters.

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Given:

The equation of parallel line is \(y=-\dfrac{1}{4}x+5\).

Required line passes through (2,-3).

To find:

The equation of line.

Solution:

We have,

\(y=-\dfrac{1}{4}x+5\)

On comparing this equation with \(y=mx+b\), where m is slope, we get

\(m=-\dfrac{1}{4}\)

Slope of two parallel lines are always same. So, slope of required line is \(m=-\dfrac{1}{4}\).

The required line passes through the point (2,-3) having slope \(m=-\dfrac{1}{4}\), so the equation of line is

\(y-y_1=m(x-x_1)\)

\(y-(-3)=-\dfrac{1}{4}(x-2)\)

\(y+3=-\dfrac{1}{4}(x)-\dfrac{1}{4}(-2)\)

\(y+3=-\dfrac{1}{4}(x)+\dfrac{1}{2}\)

Subtracting 3 from both sides, we get

\(y=-\dfrac{1}{4}(x)+\dfrac{1}{2}-3\)

\(y=-\dfrac{1}{4}(x)+\dfrac{1-6}{2}\)

\(y=-\dfrac{1}{4}(x)-\dfrac{5}{2}\)

Therefore, the equation of required line is \(y=-\dfrac{1}{4}(x)-\dfrac{5}{2}\).

Step-by-step explanation:

This is the furthest I could get.

If you want to write it as a result with no powers, let me know and I will write it.

The amount natalya will spend constructing the patio with concrete and brick is $4320, the correct option is D.

We are given that;

The concrete portion of the patio cost=$3 per square

To construct and the brick portion of the patio cost= $6 per square

Now,

The area of a rectangle is given by length times width. The concrete portion of the patio is a rectangle with length 6 cm and width 3 cm. Using the scale, we can convert these to feet:

6 cm = 6 x 4 ft = 24 ft 3 cm = 3 x 4 ft = 12 ft

Therefore, the area of the concrete portion is:

24 ft x 12 ft = 288 ft^2

The brick portion of the patio consists of two identical rectangles with lenth 3 cm and width 6 cm. Using the scale, we can convert these to feet:

3 cm = 3 x 4 ft = 12 ft 6 cm = 6 x 4 ft = 24 ft

Therefore, the area of one brick rectangle is:

12 ft x 24 ft = 288 ft^2

Since there are two brick rectangles, the total area of the brick portion is:

2 x 288 ft^2 = 576 ft^2

Now we can multiply the areas by their costs per square foot to get the costs of each portion:

Concrete cost = $3 x 288 ft^2 = $864 Brick cost = $6 x 576 ft^2 = $3456

The total cost of constructing the patio is the sum of the costs of each portion:

Total cost = $864 + $3456 = $4320

Therefore, by area the answer will be $4320.

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To completely solve the problem, Karim should convert the product back into standard decimal notation.

We cannot directly apply the product of powers property because the binomial is not raised to a power itself.

(1) To convert a number from scientific notation to standard decimal notation, we multiply the coefficient (0.0258) by 10 raised to the power of the exponent (-8).

0.0258 × \(10^{-8\)  = 0.0258 × 0.00000001

                         = 0.000000000000258

(2) The product of powers property states that when you raise a term with an exponent to another exponent, you can simplify it by multiplying the exponents.

In the expression \((3z + y)^3\), we have a binomial term (3z + y) raised to the power of 3. This is not a situation where we can directly apply the product of powers property because the binomial is not raised to a power itself.

To simplify the expression, we need to expand it using the binomial theorem or by applying the concept of binomial expansion.

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Answer:

B. 36π in²

Step-by-step explanation:

Given:

Volume = 54π in³

height (h) = 6 in.

Required:

Curved surface area of the can (area for the label needed to wrap around the can without overlapping)

Solution:

First, we need to find the radius (r) of the can.

Volume = πr²h

Plug in the given values and solve for r

54π = π*r²*6

54π = 6π*r²

54π/6π = r²

9 = r²

r = √9

r = 3 in

✔️Find the curved surface area:

Curved surface area = 2πrh

r = 3 in

h = 6 in

Plug in the values

C.S.A = 2*π*3*6

C.S.A = 36π in²

Answer:

$57. 75

Step-by-step explanation:

16.5 x 3.5 equals 57. 75

Answer:

x = 13

Step-by-step explanation:

x= Esmeralda's speed

x+5 = Diana's speed

they each travel for 6 hours

speed x time = distance  

x(6) + (x+5)(6) = 186    

Esmeralda's distance + Diana's distance = total distance

6x+6x+30= 186

(12x = 186-30)

12x = 156        

x = 13

Esmeralda travels at 13 mph and Diana travels at 18 mph

(To be completely honest, I'm not sure. I'm not in college so you shouldn't use my answer as a first resort :') )

Answer:

5.44 meters

Step-by-step explanation:

We Know

0.3048 meter = 1 ft

How many ft makes a height of 1.66m?

We Take

1.66 ÷ 0.3048 ≈ 5.44 meters

So, the answer is 5.44 meters.

Answer:

Option D.   \(g(x)=5(0.8)^{x}+2\)

Step-by-step explanation:

Main concepts

Concept 1: identifying horizontal asymptote

Concept 2: assuring decreasing exponential function

Concept 1. identifying horizontal asymptote

Any exponential function of the form \(y=a*b^x\) has a horizontal asymptote on the x-axis.  A constant (positive or negative) added to the end of the exponential expression will shift the graph of the exponential function up (if positive) or down (if negative) the number of units equal to the magnitude of the number.  Since the original function f(x) has a "+2" at the end, it has been shifted up 2 units.  Thus, we can eliminate answers A and C from feasible answers since they each shift the exponential function up 3 units, not 2.

Concept 2. assuring decreasing exponential function

Exponential functions of the form \(y=a*b^x\) increase or decrease based on the value of "b".

Observe that the graph of the function f(x) is decreasing, and the value of b=0.5.

To ensure that g(x) also decreases, the b-value must be between 0 and 1, which eliminates option B.

Option D is the correct answer because the value of "b" is between 0 and 1 (making the graph of the function a decreasing exponential), and the number added at the end is "+2", causing the horizontal asymptote to be at a height of positive 2.

Based on the given parameters, the amount of the investment after 2 years is $3123

The given parameters about the compound interest are

Principal Amount, P = $3000

Interest Rate, R = 2%

Time, t = 2

Number of times, n = 4 i.e quarterly

Compound interests are different from simple interest, and they are calculated using the following compound interest formula

CI = P(1 + R/n)^nt - P

To calculate the amount, we have:

A = P + CI

So, the equation becomes

A = P + P(1 + R/n)^nt - P

Evaluate the like terms

A = P(1 + R/n)^nt

Substitute the known values in the above equation

A = 3000 * (1 + 2%/4)^(2 * 4)

Express 2% as decimal

A = 3000 * (1 + 0.02/4)^(2 * 4)

Evaluate the sum

A = 3000 * (1.005)^8

Evaluate the exponent

A = 3000 * 1.041

Evaluate the product

A = 3123

Hence, the value of the investment is $3123

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Answer:

37.95

Step-by-step explanation:

MATH

The cost of seven pastrami sandwiches and twelve sodas is $40.08.

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that at M & P’s Deli, two pastrami sandwiches and five sodas cost $12.65, while three pastrami sandwiches and two sodas also cost $12.65.

2P + 5S = 12.65

3P + 2S = 12.65

2P + 5S = 3P + 2S

P = 3S

3 x 3S + 2S = 12.65

6S + 2S = 12.65

8S = 12.65

S = $1.58

P = $3.16

The cost of seven pastrami sandwiches and twelve sodas will be:-

Cost = 7P = 12S

Cost = ( 7 x 3.16 ) + ( 1.58 x 12 )

Cost = $41.08

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Answer:

Answer A dûmb asš got me wrong

Step-by-step explanation:

a) There are 2^6 = 64 subsets total.

b)  There are 2^3 = 8 subsets total

c) There are 2^5 = 32 subsets total

d) There are 32^4 = 48 subsets total

e)  There are (6 choose 4) = 15 subsets total

f)   There are 32 = 6 subsets total

g) There are is (6 choose 4) - (3 choose 4) = 15 - 0 = 15 subsets total

h) There are (3 choose 1) * (3 choose 3) = 3  subsets total

a) There are 2^6 = 64 subsets total.

b)  Since we need to include elements 2, 3, and 5 in a subset, we have 3 elements fixed, and we need to choose 1, 2, or 3 elements from the remaining 3 elements (1, 4, and 6). Therefore, there are 2^3 = 8 subsets that contain the elements 2, 3, and 5.

c) There are 2^5 = 32 subsets that contain at least one odd number. This can be seen by noticing that if a subset does not contain any odd numbers, then it must be {2,4,6}, which is not a valid subset since it does not satisfy the condition that it be a subset of S.

d) There are 32^4 = 48 subsets that contain exactly one even number. To see why, notice that there are 3 choices for which even number to include (2, 4, or 6), and then there are 2^4 = 16 choices for which of the remaining 4 odd numbers to include in the subset.

e) There are (6 choose 4) = 15 subsets of cardinality 4. This is the number of ways to choose 4 elements from a set of 6.

f) Since we need to include elements 2, 3, and 5 in a subset of cardinality 4, we have 3 elements fixed, and we need to choose 1 element from the remaining 3 even elements, and 1 element from the remaining 2 odd elements. Therefore, there are 32 = 6 subsets of cardinality 4 that contain the elements 2, 3, and 5.

g) The number of subsets of cardinality 4 that contain at least one odd number is equal to the total number of subsets of cardinality 4 minus the number of subsets of cardinality 4 that contain only even numbers. This is (6 choose 4) - (3 choose 4) = 15 - 0 = 15.

h) The number of subsets of cardinality 4 that contain exactly one even number is equal to the number of ways to choose 1 even number out of 3, and then the number of ways to choose 3 odd numbers out of 3. This is (3 choose 1) * (3 choose 3) = 3.

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Answer:

-8 ≤ y ≤ 7

Step-by-step explanation:

Answer:

It will cost $5.41

Step-by-step explanation:

You would take 5% of 5.15 since that is the price of the coffee with is about 0.26 cent than you add that to the cost of the coffee.

Answer:

the biggest frequency is 6

and the least frequency is 4

The type of scale commonly used on maps is a graphic scale, which uses a line or bar to represent distances accurately.

The type of scale used on a map is known as a map scale. It is a graphical representation that shows the relationship between distances on the map and their corresponding measurements in the real world. A map scale allows us to understand the size and proportion of features depicted on the map.

There are three main types of map scales: verbal scales, graphic scales, and representative fraction scales.

Verbal Scale: A verbal scale uses words to describe the relationship between distances on the map and real-world measurements. For example, a verbal scale might state "1 inch represents 1 mile" or "1 centimeter represents 10 kilometers." Verbal scales are commonly used on small-scale maps, where the level of detail is not as important.

Graphic Scale: A graphic scale, also known as a bar scale or linear scale, uses a line or a bar marked with specific distances. This line is divided into equal segments that represent units of measurement. By comparing the length of the line on the map to the corresponding distance in the real world, you can determine distances accurately. Graphic scales are often found on the margin or the legend of a map and are commonly used on medium- to large-scale maps.

Representative Fraction (RF) Scale: A representative fraction scale expresses the relationship between map distances and real-world distances using a ratio. For example, a representative fraction of 1:100,000 means that one unit of measurement on the map represents 100,000 of the same units in the real world. This type of scale is useful because it allows for precise calculations and conversions between map distances and real-world distances. Representative fraction scales are commonly used on topographic maps and engineering plans.

It's important to note that a map may include multiple scales to accommodate different levels of detail. For instance, a large-scale map of a city may have a more detailed scale than a small-scale map of an entire country.

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Answer:

m=0.5

Step-by-step explanation:

-(8m+4)=4m-2(6m+2)

open the bracelet

-8m-4=4m-12m-2

-8m+12m-4m=-2+4

4m=2

divide both sides by 4

4m÷4=2÷4

m=2÷4

m=0.5

Answer:

its b4 + 7b3 + 4b2 + b5 + 7b4+ 4b3= b5+8b4+11b3+4b2

Answer:

When multiplying, add the exponents, (example) remember if there is "7b" the exponent is one.

Multiply b^2 * b^3 = b^5  (add the exponent 2 + 3 = 5)

Multiply 7b * b^3 = 7b^4 (the exponent of 7b is one, add 1 + 3 for the exponent to become 4)

Multiply 4 * b^3 = 4b^3 (4 doesn't have a variable, the exponent will be 3)

b^2 * b*2 = b^4 (add exponents)

7b * b^2 = 7b^3 (add the exponents 1 + 2)

4 * b^2 = 4b^2

              b^2             +               7b             +        4

b^3           b^5              +           7b^4            +   4b^3

+                                                                                      

b^2           b^4             +           7b^3            + 4b^2

b^5 + 7b^4 + 4b^3 + b^4 + 7b^3 + 4b^2

\(b^5 + 7b^4 + 4b^3 + b^4 + 7b^3 + 4b^2\)

Answer:

\(\boldsymbol{\boxed{\dfrac{6}{11} }}\)

Step-by-step explanation:

According to the classical definition of probability:

\(P(A) = \dfrac{m}{n}\)

A - event

m - number of favorable outcomes

n - number of adverse outcomes

According to the task:

A - choose a student

m - 6 students

n - 11 students

\(\boldsymbol{\boxed{P(A) = \dfrac{6}{11} }}\)

52%

Step-by-step explanation:

kinda obvious lol buy ok

Answer:

The answer is 52%.

Step-by-step explanation:

When you find percents, you divide how the fraction is shown. After that, you multiply by 100.

In statistics, the risk of making an error is referred to as a significance level. A significance level represents the probability of making a Type I error, which occurs when a null hypothesis is rejected even though it is true.

The most common significance level used in statistical analyses is 0.05 or 5%. This means that there is a 5% chance of rejecting a true null hypothesis.

In general, the choice of significance level depends on the specific application and context of the statistical analysis.

The 5% significance level is commonly used in scientific research, particularly in the fields of medicine and psychology.

The choice of this level is based on a balance between the risk of making a Type I error and the risk of making a Type II error, which occurs when a null hypothesis is not rejected even though it is false.

A Type II error is often more serious than a Type I error since it may lead to incorrect conclusions about the relationship between variables or the effectiveness of a treatment or intervention.

A 5% significance level provides a reasonable balance between these two types of errors. However, in some situations, a higher or lower significance level may be more appropriate.

For example, in a clinical trial where the consequences of a Type II error are severe, a lower significance level may be used to reduce the risk of this type of error.

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Answer:

A right circular cone has only one circular edge

Step-by-step explanation:

You're welcome.

Answer:

Centre = (1, 3)

radius = 8units

Explanation:

The standard equaton of a circle is expressed as;

The radius of the circle is expressed as;

The centre is at C(-g, -f)

Given the expression;

Get the centre of the circle.

Compare both equations

similarly;

The centre will be located at C(-(-1), -(-3)) = C(1, 3)

Next is to get the radius

Recall;

Hence the radius is 8units

The equation does not hold true, the ordered pair (3, 10) is not a solution of the equation y = 2x + 6.In this way, we can determine whether an ordered pair is a solution of the given equation or not.

Given the equation y = 2x + 6To determine if an ordered pair is a solution of this equation or not, substitute the values of x and y in the equation. If the equation holds true, then the ordered pair is a solution.

If it is not true, then the ordered pair is not a solution.For example, let's consider the ordered pair (1, 8).

Here, x = 1 and y = 8.Substituting these values in the given equation,

we get: y = 2x + 6 => 8 = 2(1) + 6 => 8 = 8 Since the equation holds true,

the ordered pair (1, 8) is a solution of the equation y = 2x + 6.

Now, let's consider another ordered pair, say (3, 10). Here, x = 3 and y = 10.Substituting these values in the given equation, we get: y = 2x + 6 => 10 = 2(3) + 6 => 10 = 12

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Answer:

1029

Step-by-step explanation:

d=s*t

s=343m/s

t=3s

=343m/s*3s

= 1029

The initial velocity of the car before the brake was pulled is 30m/s

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

A car pulls the emergency hand brake, accelerating at -4.0 m/s2 for 7.5 seconds

This means that

Acceleration = -4.0m/s^2

Time = 7.5 seconds

Using the above as a guide, we have the following:

Initial velocity = -Acceleration  * Time

substitute the known values in the above equation, so, we have the following representation

Initial velocity = 4  * 7.5

Evaluate

Initial velocity = 30

Hence, the initial velocity is 30

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Answer:

the answers are

13) -6

14) 6

15) -5

16) 3

17) 14

18) -4

19) -15

20) 4

21) 5

22) -12