Which is the graph of f(x)=2(3)x?

Answer:

P(has 32 GB) = .382

Step-by-step explanation:

There are 75 + 95 + 42 + 63 = 275 total tablets

There are 42 + 63 = 105 tablets of 32 GB

P(has 32 GB) = 105/275 = .382

Answer:5.03x10^5 and 3.2x10^6

Step-by-step explanation:

Number is written in scientific notation when a number between 1 and 10 is multiplied by a power of 10

503,000 divide by 10 until the number before decimal point digit becomes less than 10

an equation showing a way to estimate to the neasrt inch the total rainfall for the two day 2.45 + 1.72 ≈ 4.2 inches

1. Add the two amounts of rainfall together: 2.45 + 1.72

2. Round the answer to the nearest inch: 4.2 inches

3. The equation to estimate the total rainfall for the two days is 2.45 + 1.72 ≈ 4.2 inches.

This equation provides a simple way to estimate the total rainfall for two days. By adding the two amounts of rainfall, we can then round the answer to the nearest inch to obtain the estimated total rainfall. This equation can be used to quickly and accurately estimate rainfall totals for any two-day period.

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The profit calculations provided include information on marginal revenue (MR), market price, marginal cost (MC), total revenue, quantity, and total cost. The market price is stated as $30.00, while the marginal cost is slightly higher at $30.16. The total revenue is given as $1,950.00, and the quantity is listed as 65.

However, the total cost is not provided in the given information. To determine the profit, the total cost would need to be subtracted from the total revenue. Without the total cost, a definitive profit calculation cannot be made.

To calculate profit, the total cost needs to be deducted from the total revenue. Unfortunately, the total cost is not provided in the given information, so a precise profit calculation cannot be determined. Profit represents the financial gain obtained by subtracting the total cost of production from the total revenue generated. If the total cost is lower than the total revenue, a profit is generated, while if the total cost exceeds the total revenue, a loss is incurred. In this case, without knowledge of the total cost, it is not possible to determine the profit or loss incurred from the given information.

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1.239x10²⁴ different ways can the 26 different letters be arranged so that either the word "the" or the word "aid" are present.

Given that,

We have to find how many different ways can the 26 different letters be arranged so that either the word "the" or the word "aid" are present.

We know that,

Total number of arrangements of 26 different letters= 26!

Let A be the number of arrangements that contains 'the' = 24! ( Total no. Of alphabet= 26 subtract the number That contains 'the' i.e, 3 and add one for 'the' 26-23+1=24)

Let B be the number of arrangements that contains 'aid' = 24! (Total no. Of alphabet minus number of letter in 'aid' and add 'aid' as an alphabet i.e, 26-23+1= 24)

Total no. Of arrangements that contains either sequence 'the' or 'aid'

A or B= (A)+(B)- (A intersection B)

24! +24! -22! = 1.239x10²⁴

Therefore, 1.239x10²⁴ different ways can the 26 different letters be arranged so that either the word "the" or the word "aid" are present.

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Answer:y=x/4

Step-by-step explanation:y=x/4

The expression that represents the total cost after the return is 4b + 3r.

To reduce a fraction to its lowest terms by canceling to the lowest common factor for both numerator and denominator or to simplify an algebraic expression by grouping and combining similar terms is called Simplification.

Given that 6b + 4r represents the total cost of the rice and beans Gabriel bought.

He returns 2 bags of beans and 1 bag of rice, the expression that represents the total cost after the return is (6b + 4r) – (2b + r).

The simplification of the expression of the total cost is given below.

\(6b + 4r - (2b + r)\)

\(6b + 4r - 2b -r\)

Regrouping the common terms,

\(6b-2b + 4r -r\)

\(4b + 3r\)

Therefore, the expression that represents the total cost after the return is 4b + 3r.

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Answer: B

Step-by-step explanation: reeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee

:\(\implies\) perimeter (∆HFM) = HM+FM+HF

:\(\implies\) 51 = 2x+5+x+8+3x+2

:\(\implies\) 51 = 6x+15

:\(\implies\) 36 = 6x

:\(\implies\) x = 6 units.

in ∆HFM,

in ∆KFM,

Since, all the sides of one triangle does not correspond to the other, these traingles are not congruent.

Because for any value of the variable, the equation is true and it follows that there are infinitely many solutions ( values ) that satisfy the equation.

What is infinite solution of any variable?

In any equations, any value for the variable makes the equation true or we can say that an equation has infinitely many solutions if you try to solve the equation and get a variable or a number equal to itself.

Now,

For any value of the variable, the equation is true and it follows that there are infinitely many solutions ( values ) that satisfy the equation.

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There are no solutions for x in the interval [0, 2π], because the square root of a negative number is not a real number.

To solve 5 - 2sin²θ = 7cosθ, we can use the identity sin²θ + cos²θ = 1 to substitute for sin²θ:

5 - 2(1 - cos²θ) = 7cosθ

Simplifying and rearranging, we get:

2cos²θ + 7cosθ - 7 = 0

We can solve for cosθ using the quadratic formula:

cosθ = (-7 ± √(7² - 4(2)(-7)))/4

cosθ = (-7 ± √65)/4

Since -1 ≤ cosθ ≤ 1, the only valid solution is:

cosθ = (-7 + √65)/4

We can then use the identity sin²θ + cos²θ = 1 to find sinθ:

sinθ = ± √(1 - cos²θ)

Plugging in the value of cosθ, we get:

sinθ = ± √(1 - (-7 + √65)\(^2^/^1^6\))

Since we're looking for all solutions, we need to consider both positive and negative values of sinθ. Therefore, the solutions to the equation are:

θ = \(arcsin\)(√(1 - (-7 + √65)\(^2^/^1^6\))) + 2πk or θ = π - \(arcsin\)(√(1 - (-7 + √65)\(^2^/^1^6\))) + 2πk

where k is an integer.

To solve cps\(x\) + 1 = sin\(x\) for x, we can use the identity cps\(x\) = 1/sin\(x\):

1/sin\(x\) + 1 = sin\(x\)

Multiplying both sides by sin\(x\), we get:

1 + \(sin^2^x\) = sin\(x\)

Rearranging and applying the quadratic formula, we get:

\(sin^2^x\) - sin\(x\) + 1 = 0

sin\(x\) = [1 ± √(-3)]/2

Since the square root of a negative number is not a real number, there are no real solutions to this equation. Therefore, there are no solutions for x in the interval [0, 2π].

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The speed of 213.25 mph  is the red car actually traveling along the road.

What is speed?

The definition of speed is the pace of movement of an object (covering a particular distance). It defines only the magnitude and not the direction, making it a scalar quantity.

The meter per second (m/s) unit of speed is taken from the SI.

let distance between the police and red cars = h

distance from the red car to a point horizontal to the police car = a

distance from from the road to the police car = b

=>\(h^2=a^2+b^2\)

take the derivative with respect to time

=>hh' = aa' + bb' b'=0

=>174.64(75) = 90a'

=>a' = 174.64(75)/90 = 145.4ft/sec

=>145.4ft/sec = 145.4(5280)/60^2 = about 213.25 mph

Here ,1 mile = 5280 feet

=>1 hour = 60 minutes x 60 seconds = 3600 seconds

=>1 mile per hour = 5280 feet per 3600 seconds

=>1 foot per second = 5280/3600 mph = 1.4666...mph

=>145.4x 1.4666... = 213.25 mph

Hence 213.25 mph speed  is the red car actually traveling along the road.

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Answer:

f ( x ) = 3 x − 2   ,  x = 9 f ( x ) = x 2  ,  x = 12 f ( x ) = 7 x − 2  ,  x = 6

Step-by-step explanation:

Answer:

3 (x + 4)

Step-by-step explanation:

3x = 3 × x

12 = 3 × 4

3x + 12

Take 3 common,

3 (x + 4)

Hence, factorised.

The answer of x^3+3^2-10x-30 is - 18

In this scenario, the researcher is interested in studying the population of men in a particular village. This group of men represents the population of interest for the study. The relevant population data would consist of the height measurements of all the men in the village. The population parameter of interest to the researcher is the average height of the men in the village.

By determining this population parameter, the researcher can gain insight into the central tendency of the height distribution for men in the village. This information can be used to make informed decisions or draw conclusions about the population of interest.

To obtain an accurate estimate of the population parameter, the researcher would need to collect a representative sample of height measurements from the men in the village and calculate the sample mean. The sample mean could then be used to estimate the population parameter with a certain degree of confidence.

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\(\text{Hello There!}\)

\(\text{We want to subtract 22 by 9.}\)

\(\text{22-9=13}\)

\(\text{Your answer is going to be}\)

\(\huge\text{13}\)

\(\rule{300}{1.5}\)

The solution is, the algebraic expression for layla is n years old in 9 more years she will be 22 is, n + 9 = 22.

An expression is any mathematical statement which consists of numbers, variables and an arithmetic operation between them. In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.

here, we have,

given that,

we have to write the algebraic expression for layla is n years old in 9 more years she will be 22.

i.e. we have,

now,  layla is n years old

and, in 9 more years she will be 22.

i.e. after 9 years she will be 22

so, we get,

if we add 9 with n , then it will be 22

so, the expression is,

n + 9 = 22

solving we get,

n = 22 - 9

  = 13

Hence, The solution is, the algebraic expression for layla is n years old in 9 more years she will be 22 is, n + 9 = 22.

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The tοtal area οf the plywοοd after cutting οut the nοtch and hοle is 16ft²

Area is the measure οf a regiοn's size οn a surface. The area οf a plane regiοn οr plane area refers tο the area οf a shape οr planar lamina, while surface area refers tο the area οf an οpen surface οr the bοundary οf a three-dimensiοnal οbject.

Area can be understοοd as the amοunt οf material with a given thickness that wοuld be necessary tο fashiοn a mοdel οf the shape, οr the amοunt οf paint necessary tο cοver the surface with a single cοat

Area is a measure οf the amοunt οf space inside a 2-dimensiοnal shape οr regiοn, typically expressed in square units such as square inches, square feet, οr square meters.

Tο find the tοtal area οf the plywοοd after cutting οut the nοtch and hοle, we need tο subtract their areas frοm the οriginal area:

Tοtal area = 20ft² - 0.75ft² + 3.25ft²

Tοtal area = 16ft²

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Answer:

What are the questions?

Step-by-step explanation:

The truth value of the conditional statement is false, and the counterexample of this statement is corresponding angles

The conditional statement is given as:

If two angles are congruent, then they are vertical angles.

The above statement is false because not all congruent angles are vertical angles

A counterexample of this statement is a corresponding angle

i.e. corresponding angles are congruent angles, but they are not vertical angles

Hence, the truth value of the conditional statement is false, and the counterexample of this statement is a corresponding angle

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The probability that it will snow at least once during the next three days is $\frac{26}{27}$.

To find the probability that it will snow at least once during the next three days, it is easier to first calculate the probability that it will NOT snow at all in those three days and then subtract that value from 1.

The probability of no snow for one day is 1 - $\frac{2}{3}$ = $\frac{1}{3}$.

For three days, the probability of no snow on all three days is the product of the individual probabilities:
($\frac{1}{3}$) * ($\frac{1}{3}$) * ($\frac{1}{3}$) = $\frac{1}{27}$.

Now, to find the probability of it snowing at least once during those three days, subtract the probability of no snow on all three days from 1:

1 - $\frac{1}{27}$ = $\frac{26}{27}$.

So, the probability that it will snow at least once during the next three days is $\frac{26}{27}$.

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Ben's ball lands approximately 2.5 seconds after Andrew's ball.

Since the value of parameter a is -5 for both balls, the height of each ball follows the equation:

h(t) = -5t² + vt + h0

where;

Let's assume that Andrew's ball is hit with an initial velocity of v1, and Ben's ball is hit with an initial velocity of v₂. We also know that Ben's ball reaches a maximum height 50% greater than Andrew's, which means that:

h_max₂ = 1.5h_max₁

At the maximum height, the velocity of the ball is zero, so we can find the time it takes for each ball to reach the maximum height by setting v = 0 in the equation for h(t):

t_max1 = v₁ / (2 x 5)

t_max2 = v₂ / (2 x 5)

Since Ben's ball reaches a maximum height that is 50% greater than Andrew's, we can write:

h_max2 = 1.5h_max1

-5(t_max2)² + v₂t_max2 + h0 = 1.5(-5(t_max1)²   +   v1 * t_max1 + h0)

Simplifying this equation, we get:

-5(t_max2)² + v₂t_max2 = -7.5(t_max1)² + 1.5v₁t_max1

We also know that Andrew's ball lands after 4 seconds, which means that h(4) = 0:

h(4) = -5(4)² + v1 * 4 = 0

-80 + 4v1 = 0

v1 = 80/4

v1 = 20 m/s

Solving these equations for t_max2 and v2, we get:

t_max1 = v1 / (2 x 5)

t_max1 = 20 / (2 x 5)  = 2 s

t_max2 = 1.5 * t_max1 = 3 s

v2 = 1.5 * v1 = 30 m/s

To find the time it takes for Ben's ball to land, we need to find the time t2 when h(t2) = 0.

We can use the equation for h(t) with v = v2, h0 = 0, and solve for t:

-5t² + v₂t = 0

-5t² + 30 = 0

5t² = 30

t² = 30/5

t² = 6

t = √6

t = 2.5 s

Therefore, Ben's ball lands approximately 2.5 seconds after Andrew's ball.

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Answer:

y = x + 3

Step-by-step explanation:

In point slope form, the equation of line is,

\(y - b = m(x - a)\)

where a and b correspond to the x and y coordinates of the given point and m is the slope

Since the line is parallel to y = x+4, it has the same slope so m = 1 since the slope of y = x+4 is 1

and putting the values of the point (-1,2), we get,

y - 2 = x - (-1)

y-2 = x + 1

y = x + 3

Answer:

75 minutes

Step-by-step explanation:

Answer:

its 75 mins becaues

Step-by-step explanation:

i said so

The sum of all the perfect squares between $15$ and $25$, inclusive, minus the sum of all the other integers between $15$ and $25$, inclusive, is \($-164$\).

To find the sum of all the perfect squares between $15$ and $25$, we need to list them out: $16$, $25$. The sum of these perfect squares is $16+25=41$.

To find the sum of all the other integers between $15$ and $25$, we can use the formula for the sum of an arithmetic series. The sum of an arithmetic series is equal to the average of the first and last term, multiplied by the number of terms. In this case, the first term is $16$ and the last term is $25$, so there are $10$ terms. The average of the first and last term is \($\frac{16+25}{2}=20.5$\). Therefore, the sum of all the other integers between $15$ and $25$ is $20.5\times 10 = 205$.

Now we can subtract the sum of all the other integers from the sum of the perfect squares to get our final answer: $41-205 = -164$.

Therefore, the sum of all the perfect squares between $15$ and $25$, inclusive, minus the sum of all the other integers between $15$ and $25$, inclusive, is $-164$.

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Answer:

11

Step-by-step explanation:

You have to first make the 7 into a fraction (7/1) then keep, change, flip.

You keep the 7/1 as it is, you change the division sign into a multiplication sign, and you flip the 7/11 to 11/7. You then just multiply straight across to get 77/7 which is the same thing as 11/1 which is the same thing as 11!

Final answer:11

From the coordinate points, we can see that the data point that differs significantly is (−4,−8)

An outlier in statistics is a data point that differs significantly from other observations in the given data

This may be due to variability in the measurement or it may indicate an experimental error.

From the coordinate points, we can see that the data point that differs significantly is (−4,−8). This gives the possible outlier of the given coordinate

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Answer:

It's would be -4,-8 Have a great day

To prove that a – c < ab + cd if and only if a – c < ad + bc, we can show both directions separately.

Direction 1: (a – c < ab + cd) implies (a – c < ad + bc)

Assume that a – c < ab + cd. We want to show that a – c < ad + bc.

Starting with the assumption a – c < ab + cd, we can rearrange the terms:

a – c – ab – cd < 0

Now, let's factor out a common term from the first two terms and the last two terms:

(a – b) – c(d + b) < 0

Since a, b, c, and d are integers, the expression (a – b) and (d + b) are also integers. Therefore, we have:

x – y < 0

This inequality implies that x < y, where x = (a – b) and y = c(d + b).

Now, let's rewrite x and y in terms of a, b, c, and d:

x = (a – b) and y = c(d + b)

Since x < y, we have:

(a – b) < c(d + b)

Expanding the terms, we get:

a – b < cd + bc

Adding b to both sides of the inequality, we have:

a < cd + bc + b

Simplifying further, we get:

a < cd + bc + b

Finally, rearranging the terms, we have:

a – c < ad + bc

Thus, we have shown that if a – c < ab + cd, then a – c < ad + bc.

Direction 2: (a – c < ad + bc) implies (a – c < ab + cd)

Assume that a – c < ad + bc. We want to show that a – c < ab + cd.

Starting with the assumption a – c < ad + bc, we can rearrange the terms:

a – c – ad – bc < 0

Now, let's factor out a common term from the first two terms and the last two terms:

(a – d) – c(a + b) < 0

Again, since a, b, c, and d are integers, the expression (a – d) and (a + b) are also integers. Therefore, we have:

x – y < 0

x = (a – d) and y = c(a + b)

Since x < y, we have:

(a – d) < c(a + b)

Expanding the terms, we get:

a – d < ca + cb

Subtracting ca from both sides of the inequality, we have:

a – d – ca < cb

Rearranging the terms, we get:

a – c < cb + d – ca

Factoring out a common term, we have:

a – c < (b – a)c + d

Since b – a is a constant, we can rewrite it as a new constant k:

a – c < kc + d

Finally, we can rewrite kc + d as a new constant m:

a – c < m

Therefore, we have shown that if a – c < ad + bc, then a – c < ab + cd.

In both directions, we have shown that a – c < ab + cd if and only if a – c < ad + bc.

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Answer:

180=x+10+64

-x=74-180

-x= -106

x=106

Step-by-step explanation: