If f(2x + 5) = 6x + 19, find fof(2).)​

The estimate made by Warner is 95% reasonable.

Given is that Warner received 7 letters and each letter weighed between 3.92 ounces and 4.1 ounces.

If the we take the maximum possible weight of each letter, which is 4 ounces, then the total weight of 7 letters will be equal to (4 x 7) = 28. But since the weights are weighted between 3.92 ounces and 4.1 ounces, let us assume that the weight of each letter is equivalent to -

w(a) = (3.92 + 4.10)/2 = 8.02/2 = 4.01

So, the weight of 7 letters would be -

W{7} = w(a) x 7 = 7 x 4.01 = 28.7

28.7 = 29 (round off) ≈ 30

So, yes the estimate of the Warner is reasonable.

Therefore, the estimate made by Warner is 95% reasonable.

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option c) = [tex]\frac{1}{12}[/tex]th of the mass of C - 12 atom is correct.

First, let us study the definition of Atomic Mass,

Atomic mass -

So we can also conclude that the 1 atomic mass unit is equal to 1/12 of the mass of the C-12 atom

Therefore, option c) = [tex]\frac{1}{12}[/tex]th of the mass of C - 12 atom is correct.

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Labels on a line graph can make the visualization more accessible in a few ways:

Overall, labels can help make a line graph more accessible by providing additional context, improving readability, and helping the viewer quickly find the data they are interested in.

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The probability of getting a head and a number greater than 5 i.e, independent events is 0.0833.

A coin is tossed and a die is rolled. These are two independent events. Two events are defined as independent if the outcome of one event has no effect on the outcome of another event. The probability is calculated by multiplying two independent probabilities together, i.e, P(A and B) = P(A) x P(B)

We have, Let us assume two independent events be ,

A : A coin is tossed and the head is thrown.

B : A die is rolled, and a number greater than 5 occurs.

Total possible outcomes when a coin tossed = 2 ={ H ,T }

Total possible outcomes when a die rolled = 6 = { 1,2,3,4,5,6} .

We have to determine probability of getting a head and a number greater

than 5.

Probability of getting the head on toss a coin, P(A) = 1/2

Probability of occuring a number greater than 5 on rolling a die = P(B) = 1/6

So, the probability of getting a head on coin and a number greater than 5 on die =P(A)×P(B)

=(1/2)× 1/6 = 1/12=0.0833

Hence, required probability is 0.0833.

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Answer: -4 < n [tex]\leq[/tex] 5

Step-by-step explanation:

Therefore, Two slices of bacon had 96 less calories than three slices of roasted turkey.

a formula that illustrates the connection between two expressions on either side of a sign. It usually only has one variable and an equal sign. like this: 2x – 4 = 2.

Here,

One piece of bacon has 42 calories in it.

There are 60 calories in 1 slice of turkey.

2 slices of bacon are 2 calories each (42)

So 84 calories in 2 slice of bacon

3 slices of roasted turkey have 3 calories each slice (60)

Three slices of roasted turkey have 180 calories each.

180-84 is the difference in the amount of calories.

96 calories are added due to the calorie difference.

Two slices of bacon had 96 less calories than three slices of roasted turkey.

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The equation with x about the number thought by Natasha is (x + 2.5) × 2 = 61

Let the number thought by Natasha be x. To formulate the equation, we will perform the same operations as done by Natasha. Forming the equation now -

(x + 2.5) × 2 = 61

Performing multiplication on Left Hand Side of the equation

2x + 5 = 61

Rewriting the equation

2x = 61 - 5

Performing subtraction on Right Hand Side of the equation

2x = 56

Rewriting the equation

x = 56/2

Performing division on Right Hand Side of the equation

x = 28

Thus, the equation is (x + 2.5) × 2 = 61 and the number thought by Natasha is 28.

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The required linear inequality is [tex]-\frac{2}{3} \geq -\frac{7}{8}x[/tex]

What is linear inequation?

A linear inequation is an equation that contains one or more variables, such as x, and involves linear functions. Unlike a linear equation, its solution set is not a single point, but a range of values. Linear inequations are used to represent situations where the exact value of a variable is not known, but a range of values can be determined based on certain conditions. For example, if x represents the amount of money a person makes in a year and we know that it must be greater than $50,000, then we can write the linear inequation x > 50,000.

Let the number be x

[tex]-\frac{2}{3}[/tex] is a minimum of the product of a number and  [tex]-\frac{7}{8}[/tex]

[tex]-\frac{2}{3} \geq -\frac{7}{8}x[/tex]

This is the required linear inequality

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Based on the values you've listed, it appears that the expression P(7, 5) represents a combination calculation. In combinatorics, the notation P(n, k) represents the number of ways to choose a subset of k items from a set of n items, without regard to the order in which the items are chosen. This is also known as the number of k-permutations of n items.

In this case, the expression P(7, 5) would represent the number of ways to choose a subset of 5 items from a set of 7 items. Using the formula for combinations, this would be calculated as follows:

P(7, 5) = 7! / (5! * (7 - 5)!)

= 7! / (5! * 2!)

= 7 * 6 * 5 * 4 * 3 / (5 * 4 * 3 * 2 * 1 * 2 * 1)

= 7 * 6 / 2

= 21

Therefore, the correct answer for the expression P(7, 5) is 21.

Answer:

  A

Step-by-step explanation:

You want the center of dilation when ∆ABC is dilated by a factor of 1/2 to get ∆AED.

In any dilation, the center of dilation is invariant. It doesn't move.

Since point A is common to both triangles, it didn't move. Point A is the center of dilation.

Answer:

D. 142 degree

Step-by-step explanation:

A triangle has 180 degree

77 + 65 = 142 degree

180 - 142 = 38 degree

38 degrees is the missing angle of the triangle. This angle must add with angle 1 outside equal to 180

180 - 38 = 142 degree

So, the answer is D

Answer:

below

Step-by-step explanation:

Area of rectangle ( 3 x 4 )  minus the area of the circle (pi * 1^2) =

= shaded area = 8.86 cm^2

Answer:

Let x be the larger angle and y be the smaller angle

Larger angle is 2 less than 3 times the smaller angle that is x = 3y - 2

As the angles are complementary, their sum equals 90°

or, x + y = 90°

or, 3y - 2 + y = 90°

or, 4y = 92°

or, y = 23°

So, x = 3 * 23 - 2 = 67°

Larger angle = x = 67°

Smaller angle = y = 23°

A problem that could be solved by multiplying 4.63 x 9 is "the product of 4.63 and 9"

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

4.63 x 9

In the above expression, we can see that

4.63 and 9 are multiplied

This means that the problem is a product expression

And a problem that can represent 4.63 x 9 is "the product of 4.63 and 9"

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Answer:

$0.39

Step-by-step explanation:

First find the unit rate for store B ( $8.84/13)

At store B Artuto spends $0.68 for one bottle of apple juice

At store A they spent $0.29

0.68-0.29= 0.39

The product of linear factors of the given polynomial are;

(x + 3 )*(x² + 2x + 50 + (−100/(x + 3)))

We are given the polynomial expression as;

g(x)= x³ + 5x² + 56x + 150

Now, we are told that  -3 is a zero. Thus, if -3 is a zero that means x = -1

and x + 3 is a factor.

Using online polynomial division calculator, the the polynomial is divided by (x + 3) to get;

(x³ + 5x² + 56x + 150)/(x + 3) = x² + 2x + 50 + (−100/(x + 3))

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Answer:

m = -5/2 or -2.5

Pls choose me as brainliest!

Answer:

x = 302/999

HERE THE ANSWER

Step-by-step explanation:

The statement 'the confidence interval for the mean of y is always narrower than the prediction interval for an individual response y given the same data set, x value, and confidence level.' is True.

In this question, we have been given a statement 'The confidence interval for the mean of y is always narrower than the prediction interval for an individual response y given the same data set, x value, and confidence level. '

We need to state whether the given statement is true or false.

We know that the confidence interval = sample mean ± margin of error

The confidence interval  for the mean of y is narrower when the x value is close to the mean of all of the x values.

Therefore, the confidence interval for the mean of y is always narrower than the prediction interval for an individual response y given the same data set, x value, and confidence level is True.

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Answer:

C

Step-by-step explanation:

S = .6T + 331.4    

When S = 331.4:

331.4 = .6T + 331.4    <=====you should be able to see this is true when T= 0

Based on last week's results, the profit that the owner expect to earn from cherry snow cone sales next week is $1832.

From the information, the owner expects to sell 800 snow cones next week and he earns a profit of $2.29 on each snow cone sold. Based on last week's results.

The profit can the owner expect to earn from cherry snow cone sales next week will be:

= Number of cheery × Profit on each

= 800 × $2.29

= $1832

The profit is $1832.

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The end behavior of the function is that;

D. As x decreases in value, f(x) decreases in value.

As x increases in value, f(x) increases in value.

The end behavior of a function f(x) describes the behavior of the graph of the function at the "ends" of the x-axis.

Now, in the graph attached, at the end point of the curve on the left of the x-axis, we see that the coordinate is (-3, 0) and to the right which is when x has increased to 9 and now has a coordinate point of (9, 6).

Thus, we conclude that we see that as the value of x increased from left to right, f(x) also increased and as the value of x decreased from right to left, f(x) also decreased.

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In studies intended to measure the distance a golf ball is struck with weapons made of various materials, the material of the golf ball and the direction of the wind at the moment the experiment was done become standardized variables.

In tests intended to assess the distance a golf ball is struck with clubs made of various materials, the kind of material the club is composed of is an independent variable.

Independent variables are those that a researcher tries to manipulate or control to observe how they impact the dependent variable. In this experiment, the effect of different club construction materials on golf ball distance is investigated.

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Answer:

  y = -3x

Step-by-step explanation:

You want the slope-intercept equation of the line with slope -3 through the point (-1,3).

The equation of the line with slope m through point (h, k) can be written ...

  y -k = m(x -h)

For slope -3 and point (-1, 3), the equation is ...

  y -3 = -3(x +1)

Eliminating parentheses gives ...

  y -3 = -3x -3

Adding 3 gives the equation ...

  y = -3x

__

Additional comment

As you can see, the y-intercept is 0.

Although part of your question is missing, you might be referring to this full question: The radius of a spherical ball is increasing at a rate of 2 cm/min. At what rate is the surface area of the ball increasing when the radius is 8 cm? The surface area of a sphere with radius r is given by 4πr².

The rate at which the surface area of the ball increasing when the radius is 8 cm is 128 cm²/min.

Given A = 4πr²

So, we have:

dA/dt = d/dt (4πr²)

= 4π * d/dt * (r²)

= 4π * 2r * dr/dt

= 8πr * dr/dt

Now, we have that dr/dt = 2 cm/min. So, when the radius of the ball is 8 cm, we have that:

dA/dt = 8πr * dr/dt

= 8π * 8 * 2

= 128π

Since we are measuring area, our unit is cm²/min, not cm/min.

Thus, the rate at which the surface area of the ball increasing when the radius is 8 cm is 128 cm²/min.

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35 expect to participate in anti-racist practices.

anti-racist practices=Anti-racism encompasses a range of ideas and political actions which are meant to counter racial prejudice, systemic racism, and the oppression of specific racial groups. Anti-racism is usually structured around conscious efforts and deliberate actions which are intended to provide equal opportunities for all people on both an individual and a systemic level. As a philosophy, it can be engaged in by the acknowledgment of personal privileges, confronting acts as well as systems of racial discrimination, and/or working to change personal racial biases. Major contemporary anti-racism efforts include Black Lives Matter organizing and workplace antiracism.

Expect value= n*p=0.70*50

=35

Answer=35

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The number of coins which Craig collected as calculated from the given data is 49.

Given ,

percentage of foreign coin = 72%

Therefore the percentage of normal coins will be 28%.

Hence , the number of normal coins which he collected can be found out as ,

 28% of 175

= 28% × 175

= 28/100 × 175

= 0.28 × 175

= 49

When we divide a given number by 100 as a fraction , the result we get is known as percentage .

It is represented by the percentage sign which is "%".

The percentage is denoted by the letters "pct" or "pc," respectively. In other words, the percent or % is calculated at a value of around 100 and represents the proportion of one quantity made up of another.

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