the eleventh term of an A.P 25 and its first term -3 find its common difference​

Answer:

3:10

Step-by-step explanation:

We have to do blue markers: total markers

Just plug those values in

3 blue markers: 10 total markers

remove the labels

3:10

Let me know if you have any questions

When the following code section runs, the value of the variable y will be -2.

Given that,

We have to find when the following code section runs, what value will the variable y have? Assume the following input values:

The code mentioned above is explained in the section below.

Here, x=5, n=0, and the input values are 1–6.

So, x>3 is true.

Control will go to second if block and input y and z.

Now y=1 and z=2 and n=1

Next control goes to if(x) since x>0 which is true.

Now z=3 and x=4 and y=0 and n=0

Her n==0 so r=z- ++x => 3- (5) =>-2.

Hence r=-2

Therefore, the variable r=-2 is the output for the code.

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Answer:

6

Step-by-step explanation:

(3√3)^2/3 = (∛3)²  X ∛(√3)²  

= 3

27^2/3 = (∛27)²

= 3² = 9

9^-1/2 = 1/√9

= 1/3

so the answer is  3 + (9 X 1/3)

= 3 + 3

= 6

Answer:

option 3

Step-by-step explanation:

\(\frac{80}{5}=16\)

Answer:

number 3

is the correct one out of the 4

Answer:

288 inches

Step-by-step explanation:

Assuming that you want to convert yards to inches the ratio is 1yd to 36 inches. 8yd is 288 inches.

Answer:

$23.25

Step-by-step explanation:

Step one:

given data

A store buys a shirt from the vendor for $15

The store makes a 55% profit

Required

The sale price of the shirt

Step two:

Percent profit= sale-cost price/cost price *100

subtitute

55= sale-15/15 *100

0.55= sale-15/15

cross multiply

sale-15= 0.55*15

sale-15=8.25

sale= 8.25+15

sale=$23.25

Answer:

a. M = 50

b. M = 242

Step-by-step explanation:

mean =  \(\frac{sum of scores}{number of samples}\)

⇒ sum of scores = mean x number of samples

Let the mean be represented by M, and the number of samples be represented by n,

sum of scores = M x n

a. When n = 5 for both samples,

The first sample's sum of scores = M x n

                                     = 7.2 x 5

                                     = 36

The second sample's sum of scores = M x n

                                     = 12.8 x 5

                                     = 64

The mean for the sum of scores of the combined set = \(\frac{36 + 64}{2}\)

                                     = 50

When both samples have n = 5, the mean of the combined set is 50.

b. When the first sample has n = 5, the sum of scores = 36.

If n = 35 for the second sample, the sum of scores = M x n

                                                          = 12.8 x 35

                                                          = 448

The mean for the sum of scores of the combined set = \(\frac{36 + 448}{2}\)

                                                    = 242

The Propositions are resulting

(a) ∀x∃y(x = y²) is False

(b) ∀x∃y(x² = y) is True.

(c) ∃x∀y(xy = 0) is True.

(d) ∀x∃y(x + y = 1) is True.

(a) ∀x∃y(x = y²)

This proposition states that for every x, there exists a y such that x is equal to y². To determine the truth value, we need to check if this statement holds true for every value of x.

If we take any positive value for x, we can find a corresponding value of y that satisfies the equation.

For example, if x = 4, then y = 2 satisfies the equation since 4 = 2². Similarly, if x = 9, then y = 3 satisfies the equation since 9 = 3².

Therefore, the proposition (a) is false.

(b) ∀x∃y(x² = y)

For any given positive or negative value of x, we can find a corresponding value of y that satisfies the equation.

For example, if x = 4, then y = 2 satisfies the equation since 4² = 2. Similarly, if x = -4, then y = -2 satisfies the equation since (-4)² = -2.

Therefore, the proposition (b) is true.

(c) ∃x∀y(xy = 0)

The equation xy = 0 can only be satisfied if x = 0, regardless of the value of y. Therefore, there exists an x (x = 0) that makes the equation true for every y.

Therefore, the proposition (c) is true.

(d) ∀x∃y(x + y = 1)

To determine the truth value, we need to check if this statement holds true for every value of x.

If we take any value of x, we can find a corresponding value of y that satisfies the equation.

For example, if x = 2, then y = -1 satisfies the equation since 2 + (-1) = 1. Similarly, if x = 0, then y = 1 satisfies the equation since 0 + 1 = 1.

Therefore, the proposition (d) is true.

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Increasing the probability of a type I error generally leads to a decrease in the probability of a type II error, and vice versa.

If your data have statistical significance, this suggests that even if the null hypothesis is correct, they are extremely improbable to occur. You would then reject your null hypothesis in this situation. Yet occasionally, this may be a Type I mistake.

If your results are not statistically significant, the null hypothesis is likely to be correct and they have a high probability of occurring. As a result, your null hypothesis is not rejected. Yet occasionally, this may be a Type II mistake.

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Let f(x) = lnx and g(x) = log₂x. for all 0 < x < 1, f(x) < g(x): True.

In this scenario and exercise, we would determine the corresponding output value for the functions f(x) and g(x) under the given mathematical operation and independent variables.

When x = 1, the output value for f(x) based on the table of values is given by;

f(x) = lnx

f(1) = ln(1).

f(1) = 0.

When x = 2, the output value for f(x) based on the table of values is given by;

f(x) = lnx

f(2) = ln(2).

f(2) = 0.69314718

When x = 1, the output value for g(x) based on the table of values is given by;

g(x) = log₂x

g(1) = log₂(1)

g(1) = 0.

When x = 2, the output value for g(x) based on the table of values is given by;

g(x) = log₂x

g(2) = log₂(2)

g(2) = 1.

In this context, we can logically deduce that the function f(x) is less than function g(x) for all 0 < x < 1.

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Answer:

The correct answer is 385

Step-by-step explanation:

Just add all of the negative results together.

Hope this helps:) Goodluck!

Answer:

400

Step-by-step explanation:

given that 25 and 375 are negative result if we sum them up that should be 400

The length and width of the rectangle are 5 inches and 1 inches respectively.

The length and width of the rectangle can be found as follows;

l = 3 + 2w

area of a rectangle = lw

where

Therefore,

5 = lw

5 = (3 + 2w)w

5 = 3w + 2w²

2w² + 3w - 5 = 0

Hence,

2w² + 3w - 5 = 0

Therefore,

w = 1  and w = - 5 / 2

width = 1 inches

length =  3 + 2(1) = 5 inches

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When writing a proof, you should construct the first statement by copying the “prove” statement(s) from the original problem. The Option B is correct.

When constructing the first statement in a proof, it is important to begin with copying the “prove” statement(s) from the original problem. This involves writing the next statement based on the given or previously proven statements.

It is not helpful to write a justification for the first statement in the right column without considering its logical connection to the problem. By beginning with a logically connected statement, the proof can proceed in a clear and organized manner which leads to a valid conclusion.

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Answer:

Answer

Find out f(f(x)) .

To prove

As given in the question

f(x) = x² + 1

Now

f(f(x)) = f (x² + 1)

Now find out the value of f (x² + 1).

f(f(x)) = f (x² + 1)

        = (x² + 1)² + 1

Using formula

(a + b)² = a² + b² + 2ab

Apply in the above function

f(f(x)) = (x² + 1)² + 1

f(f(x)) = \(x^{4}\) + 1 + \(2x^{2}\) + 1

Simplify

f(f(x)) = \(x^{4}\) +  \(2x^{2}\) + 2

Thus the value of  f(f(x)) is: f(f(x)) = \(x^{4}\) +  \(2x^{2}\) + 2

Step-by-step explanation:

#7 and #8

Solve these with proportions. Set them up like this:

\(\frac{part}{whole} =\frac{percentage}{100}\)

Say I have a question that said "Arjun had Rs. 10, and his friend Raghav borrowed Rs. 5, what percentage of Arjun's amount did Raghav borrow?". 10 is the whole. It is the total amount of money that they have. 5 is the part. You are looking for the percentage. The 100 will always stay the same. Put the values that you know into the proportions, and replace what you don't know with the variable x. Like so:

\(\frac{5}{10} = \frac{x}{100}\)

To solve this, use cross multiplication. Multiply the top left with the bottom right, and the bottom left with the top right. You will get:

5(100) = 10x

Simplify.

500 = 10x

Now, to solve this, you must isolate the x. To do this, divide both sides by 10, to get:

50 = x.

50 is your percentage.

You can solve this kind of problem by just remembering the proportion, filling in what you know, and then solving!

#8 and #9

To solve these types of problems, set up an equation.

Say that I had the question "Sowmya is baking cupcakes. She has 10 cups of flour, and she uses 2 cups for each cupcake. How many cupcakes can she bake?

What do you know?

You know she has 10 cups in total. You know that she uses 2 cups per cupcake.

So, you will set up the equation like this:

2x = 10

Where x is the number of cupcakes she makes.

To solve, you will isolate the variable by dividing both sides by 2 to get:

x = 5.

Sowmya can bake 5 cupcakes with 10 cups of flour.

Hope this helps!

Sarah's fuel efficiency is approximately 32.91 miles per gallon.

From the question, we are to calculate Sarah's fuel efficiency.

To find Sarah's fuel efficiency in miles per gallon, we need to convert the distance she drove to miles and the amount of gasoline she used to gallons.

From the given information,

1 km = 0.6214 mi

1 gal = 3.8 L

First, let's convert the distance from kilometers to miles:

691.4 km × 0.6214 mi/km = 430.10196 mi

So, Sarah drove a distance of 430.1 miles.

Also,

Convert the amount of gasoline from liters to gallons:

49.7 L ÷ 3.8 L/gal = 13.0789 gal

So, Sarah used 13.0789 gallons of gasoline.

Calculate her fuel efficiency in miles per gallon:

Fuel efficiency = distance ÷ gasoline used

Fuel efficiency = 430.1 mi ÷ 13.0789 gal

Fuel efficiency = 32.9065 mi/gal

Hence, Sarah's fuel efficiency is 32.91 mi/gal

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Answer:

The correct option is the third one counting from the top. (5892 m^2)

Step-by-step explanation:

First, we need to remember that:

For a rectangle of length L and width W, the area is:

A = L*W

For a circle of diameter D, the area is:

A = pi*(D/2)^2

Where pi = 3.14

In the image, we can see a rectangle and half a circle, the total area of the image will be equal to the area of the rectangle plus the area of the half circle.

In the image, we can see a rectangle of length L = 100m and width W = 50m

Then the area of the rectangle is:

A = 100m*50m = 5000m^2

And we can see that for the half-circle the diameter is D = 50m

Note that the area of a half-circle is half of the area of a complete circle, then the area of that half-circle is:

A = (1/2)*(3.14*(50m/2)^2) = 981.25 m^2

If we add these two areas we get:

Total area =  5000m^2 + 981.25 m^2 = 5981.25 m^2

If we round it up, we get:

Total area = 5982 m^2

The correct option is the third one counting from the top.

Answer:

Step-by-step explanation:

5 3/7= 38/7 (move the wholes into the fraction)

2 1/5=11/5

38/7- 11/5  we need the common denominator=35

190/35 -77/35= 113/35

=3 8/35

The probability that more than one-fourth of them will have low levels of literacy as described above is 0.3043.

What is probability?

The area of mathematics known as probability deals with numerical descriptions of how likely it is for an event to happen or for a claim to be true. A number between 0 and 1 is the probability of an event, where, broadly speaking, 0 denotes the event's impossibility and 1 denotes its certainty.

Given: A study conducted by the Institute of Education Sciences from 1992 to 2003 found that about 22% of adult Americans had low levels of literacy and were “not able to locate information in text,” could not “make low-level inferences using printed materials” and were unable to “integrate easily identifiable pieces of information.”

A simple random sample of 50 adult Americans is collected.

n(p) = 50(0.22)

n(1 - p) = 50(1 - 0.22)

The CLT would hold here.

n = 50

p = 0.22

p cap = 0.25

The test statistic, z = (p cap - p) / (√p (1 - p) / n)

z = (0.25 - 0.22)/(√0.22(1-0.22)/50)

z = 0.51

The p-value is 0.3043.

Hence, The probability that more than one-fourth of them will have low levels of literacy as described above is 0.3043.

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Answer:

x= - 0.6

Step-by-step explanation:

Answer:

15f+5g+45

Step-by-step explanation:

To do this, we have to distribute 5 to each of the terms in the parentheses:

5(3f+g+9)

5(3f)+5(g)+5(9)

15f+5g+45

9514 1404 393

Answer:

  48 minutes

Step-by-step explanation:

The average speed for stage 1 is ...

  speed = distance/time = (110 mi)/(2 h) = 55 mi/h

Then the time for stage 2 is ...

  time = distance/speed = (44 mi)/(55 mi/h) = (4/5 h)(60 min/h) = 48 min

The time for stage 2 is 48 minutes.

Answer:

We know that

SpeeD = Distance/Time

Speed = 110/2

Speed = 55 mi/hr

For, 2

Speed = 44/55

Speed = 4/5

Speed = 48 min

\( \\ \)

The tables which shows a proportional relationship between x and y are table 3 and table 4.

Using ratio to find the proportional relationship

Table 1

x : y = 8 : 8

= 1 : 1

x : y = 12 : 10

= 6 : 5

Not proportional

Table 2:

x : y = 2 : 3

x : y = 3 : 8

Not proportional

Table 3:

x : y = 5 : 3

x : y = 10 : 6

= 5 : 3

Proportional

Table 4:

x : y = 4 : 1

x : y = 16 : 4

= 4 : 1

Proportional

Ultimately, table 3 and table 4 shoes a proportional relationship between x and y.

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Locate the y-intercept on the graph and plot the point.

From this point, use the slope to find a second point and plot it.

Draw the line that connects the two points.

Answer: 1: You Have to find the y intercept and the plot the point                          2: From that point you have to find the slope and use that as a second point                

3: Then Draw The Line And Connect The Points

The correct answer is, by choosing a = -2 and b = 1, we satisfy both inequalities .a < b:

To make both inequalities true, we need to select values for a and b that satisfy the given conditions:

a < b: This inequality means that the value of a should be less than the value of b.

|b| < |a|: This inequality means that the absolute value of b should be less than the absolute value of a.

One possible solution that satisfies both conditions is:

a = -2

b = 1

With these values, we have:

-2 < 1 (a < b)

|-1| < |2| (|b| < |a|)

Therefore, by choosing a = -2 and b = 1, we satisfy both inequalities.a < b:

This inequality states that the value of a should be less than the value of b. In other words, a needs to be positioned to the left of b on the number line. To satisfy this condition, we can choose a to be any number that is less than b. In the example I provided, a = -2 and b = 1, we can see that -2 is indeed less than 1, fulfilling the requirement.

|b| < |a|:

This inequality involves the absolute values of a and b. The absolute value of a number is its distance from zero on the number line, always resulting in a non-negative value. The inequality states that the absolute value of b should be less than the absolute value of a. To satisfy this condition, we can choose b to be any number with a smaller absolute value than a. In the example I provided, |1| is less than |(-2)|, as 1 is closer to zero than -2, fulfilling the requirement.

By selecting a = -2 and b = 1, we satisfy both inequalities: a < b and |b| < |a|. The specific values of -2 and 1 were chosen as an example, but there are multiple other values that would also satisfy the given conditions. The important aspect is that a is indeed less than b, and the absolute value of b is smaller than the absolute value of a.

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The inequality will be:

6.2 + v ≥ -4.7

And it can solved to get:

v ≥ -10.9

Here we have the mathematical sentence:

"The sum of a number v and 6.2 is at least -4.7"

The sum is written as:

6.2 + v

And that is equal to or more than -4.7, then we need to use the symbol ≥, with that, we can write the inequality:

6.2 + v ≥ -4.7

Solving that four our number v, we get:

v  ≥ -4.7 - 6.2

v ≥ -10.9

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The fraction of the fabric is 7 3/24m.

It should be noted that from the information, Flor bought different fractions of fabric and we want to calculate the total.

Therefore the total fractions will be:

= 2 5/8 + 1 1/3 + 3 1/6

= 2 15/24 + 1 8/24 + 3 4 / 24

= 6 27 / 24.

= 7 3/24

The total fraction is 7 3/24 m.

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