Evaluate the expression, thank you!

Answer:

the answer for 1 1/3 is O 4/3

5 2/5 is T  28/5

2 4/5 is D  14/5

Step-by-step explanation:

All you have to do is multiply the whole number by the denominator and then add the numerator and the denominator stays the same.

Like on the second one you would multiply the 5 by the denominator which is also five then add the numerator,1, and that gives you the top number and the bottom one stays the same.

Sorry if I confused you but hope this helps!

You got this

Answer:

Yes, an absolute value can never be false. So, the answer is true.

Therefore , the solution of the given problem of standard deviation comes out to be correct option is (A)Barnsboro Bank has more variation.

Variance is measured in statistics using variance. The average variation between the data and the mean is calculated by taking the square root of that value. By comparing each value to the mean, it incorporates all data points in its computations, in contrast to some other quantitative measures of variability. Variations may occur due to internal or external factors, and they may include things like unintentional errors, exaggerated expectations, and changing commercial or economic conditions.

Here,

Given :

=> CV =S/M

is the formula used to calculate a set's coefficient of variation.

where M stands for mean and S for standard deviation.

The set's variation increases with increasing coefficient.

Barnsboro National Bank: M = 315 and S = 87, resulting in a

=> CV = S/M

= >87/315 = 0.276.

Wellington S&L = M = 8350 and S = 1800, resulting in a

=> CV = S/M

= > 1800/8350 = 0.216.

The Bank of Barnsboro has a higher coefficient and more fluctuation.

Barnsboro Bank has greater variance, which is the correct answer (A).

Therefore , the solution of the given problem of  standard deviation comes out to be correct option is (A)Barnsboro Bank has more variation.

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The complete question is "A sample of customers from Barnsboro National Bank shows an average account balance of $315 with a standard deviation of $87. A sample of customers from Wellington Savings and Loan shows an average account balance of $8350 with a standard deviation of $1800. Which statement about account balances is correct? (A)Barnsboro Bank has more variation. (B)Wellington S&L has more variation. (C)Both have the same variation."

Answer:

9 + x

Step-by-step explanation:

i think this is what you meant

Answer:

Write each phrase as an algebraic expression. In Example 2, each algebraic expression consisted of one number, one operation and one variable.

...

Algebraic Expressions With Example Problems and Interactive Exercises.

Phrase Expression

the sum of nine and a number x 9 + x

Step-by-step explanation:

Hopes this helps\

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The coefficient of x² in the Taylor series for sin²x about x=0 is 1

If a Taylor Series is centred at 0, then the series is known as the Maclaurin series.

Maclaurin series is given by f(x) = \(\text{\Large$ \Sigma$}\limits^{\infty}_{k=0} \frac{f^{(k)}(a)}{k!}x^k\)

f(x) = sin²x

We need coefficient of x², let us take n=5

f(x) = \(\text{\Large$ \Sigma$}\limits^{\infty}_{k=0} \frac{f^{(k)}(a)}{k!}x^k\)

f^0(x) = sin²x => f^0(0) = 0

f^1(x) = 2 sinx cosx => f^1(0) = 0

f^2(x) = -2 sin²x + 2 cos²x => f^2(0) = 2

f^3(x) = -8 sinx cosx => f^3(0) = 0

f^4(x) = 8 sin²x - 8 cos²x => f^4(0) = -8

f^5(x) = 32 sinx cosx => f^5(0) = 0

f(x) = 0(x^0) + 0(x^1) + (2/2!)(x^2) + (0/3!)(x^3) + (-8/4!)(x^4) + (0/5!)(x^5)

f(x)  = x^2 - (1/3)x^4

We can see that the coefficient of x² is 1.

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Answer

If my answer is ok for you rate my answer

Answer:

-5 and -10

Step-by-step explanation:

-9-5(-5)

-9+25

=16

-9-5(-10)

-9+50

=41

Answer:

  3200

Step-by-step explanation:

Replace the variables with their values and do the arithmetic.

  (4·5)²·8 = 20²·8 = 400·8 = 3200

Two equal-size vectors at right angles to each other have a resultant that is equal to \(\sqrt{2}\) times the magnitude of each individual vector.

The magnitude of the resultant vector of two equal-size vectors at right angles to each other can be determined using the Pythagorean theorem.

Let's assume the magnitude of each vector is represented by "a".

According to the Pythagorean theorem, the magnitude of the resultant vector, denoted as "R", can be calculated as:

R =\(\sqrt{a^2 + a^2}\)

R = (\(\sqrt{2a^{2} )}\)

R = \(\sqrt{2}\) a

Therefore, the magnitude of the resultant vector is equal to \(\sqrt{2}\) times the magnitude of each individual vector.

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Answer: 96 crayons

Step-by-step explanation:

Take 182 subtract 86 = 96 crayons

96 crayons are not broken

The clock minutes rotate 270 degrees in 45 minutes.

While rotating, the clock's hands are seen to move at a speed of six degrees per minute.

The number of degrees for a clock minute is solved by

60 minutes  = 360 degrees

1 minute = ?

cross multiplying

60 * ? = 360

? = 360 / 60

? = 6

hence 1 minute is 6 degrees

The formula to use to get the calculation is multiplying the number of minutes by 6

Number of degrees in 45 minutes = 45 * 6

Number of degrees in 45 minutes = 270 degrees

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Answer:

3x- 12

Step-by-step explanation: :))) this is true because a number next to a variable means multiplying and then youd subtract 12 from that total

The money left is $296.54

The total number of people in the track team is 25

The total amount that all members will pay for the shirt is $463.50

Only 9 members have purchased the shirt

The change left can be calculated as follows

25= 463.50

1= x

cross multiply

25x= 463.50

x= 463.50/25

x= 18.54

18.54 × 9

= 166.86

463.50-166.86

= 296.54

Hence the change left is $296.54

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Answer:

4¹

Step-by-step explanation:

if you divide the powers then you get 1.16 but here it is simplified

Answer:

Angle Q = 17°

Step-by-step explanation:

Complementary means the angles add up to 90°

Using this, do 90° - 73°. This equals 17°, giving you Angle Q.

Answer:

Q = 17

Step-by-step explanation:

Complementary angles add to 90 degrees

Q + R = 90

Q +73 = 90

Q = 90-73

Q = 17

Answer:

D, \(w\geq 23\)

Step-by-step explanation:

The length is 6 inches longer than it's width, therefore:

\(l=w+6\)

The area of the rectangle is AT LEAST 667 square inches, so:

\(lw\geq 667\)

Now, we have a system of two equations:

\(\left \{ {{l=w+6} \atop {lw\geq 667}} \right.\)

We want to isolate the width, so substitute the first equation into the second to eliminate the length.

\((w+6)w\geq 667\)

Simplify:

\(w^2+6w\geq 667\)

Since we now have a polynomial equation that needs to be factored, set the value of one side to 0.

\(w^2+6w-667\geq 0\)

Now factor the equation:

\((w-23)(w+29)\geq 0\)

Taking each factor individually, we find the following:

\(w\geq 23\\w\geq -29\)

Since a negative width doesn't make any sense, we can eliminate that solution, and we are left with the correct answer!

\(w\geq 23\)

The theme of each epic poem is sublime, elegant, and has universal significance. It may not be an insignificant theme, which is only limited to the personality or the locality of the poet. It deals with the entire humanity.

Epic poem

An epic poem, or simply an epic, is a lengthy narrative poem typically about the extraordinary deeds of extraordinary characters who, in dealings with gods or other superhuman forces, gave shape to the verse mortal universe their descendants.

'epic' could refer to all poetry in dactylic hexameter , which included not only Homer but also the wisdom poetry of Hesiod, the utterances of the Delphic oracle.

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Answer:

x=15

Step-by-step explanation:

crown plz

Answer:

B. 20 feet

Step-by-step explanation:

If the triangles are similar that means the ratio of the sides of the triangles are the same.

Sense the left side of bigger triangle is 4 times bigger than the bottom side of the triangle, then the left side of the smaller triangle is 4 times bigger than the bottom side.

5×4=20

Answer:

Step-by-step explanation:

2x-3y = 14 , 5x + 6y = -19 make 2(2x-3x=14) = 4x - 6y = 28. Then just add them u get 9x = 9 then x= 1 put in the x value to get y , y = -4 and I think it’sA just on earth solution

The factored form of the equation are as follows;

Converting a quadratic function to factored form is called factoring.

Therefore,

let's factor the equation,

a.

d² - 7d + 6 = 0

d² - d - 6d + 6 = 0

d(d - 1) - 6(d - 1) = 0

(d - 6)(d - 1) = 0

b.

x² + 18x + 81 = 0

x² + 9x + 9x + 81 = 0

x(x + 9) + 9(x + 9) = 0

(x + 9)(x + 9) = 0

c.

u² + 7u - 60 = 0

u² - 5u + 12u - 60 = 0

u(u - 5) 12(u - 5) = 0

(u + 12)(u - 5) = 0

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It is true that the objective function and the restrictions in a linear programming problem must be linear functions of the choice variables.

The method of choosing the best result from a linear function is known as linear programming. Making a few straightforward assumptions is the easiest way to accomplish linear optimization. As the goal function, the linear function is referred to. Real-life relationships can be quite challenging. However, such interactions can be represented using linear programming, which facilitates analysis of such relationships.

When the need of a mathematical model are represented by linear relationships as, the optimal result can also be obtained using a technique known as the linear programming (LP), sometimes known as linear optimization. A particular type of mathematical programming is linear programming.

Formally speaking, linear programming is the method for optimizing a linear objective function under the restrictions of the linear equality and linear inequality. Convex polytopes, a set defined as the total intersection of a finite number of half spaces, each of which is determined by the linear inequality, make up viable region.

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The following equation-definition will be consider to solve the problem:

Where the base in this case is 120.

The rate is the porcentage, which is the missing part in the problem.

And 48 is the part. Hence, the solution is:

The solution is C. rate

Answer:

I dont know if this is still helpful but the answer is 14 blocks

Step-by-step explanation:

The possible dimensions of the triangle are given as follows:

x + 8 and x + 5.

The perimeter is given as follows:

P = 4x + 26.

The area of a rectangle of base b and height h is given by the multiplication of these dimensions, as follows:

A = bh.

For this problem, the area is given as follows:

A = x² + 13x + 40.

The area can be factored as follows:

A = (x + 8)(x + 5).

The perimeter is twice the sum of the dimensions, hence:

P = 2(x + 8 + x + 5)

P = 2(2x + 13)

P = 4x + 26.

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Answer:

23

Step-by-step explanation:

The question gives the first equation:

0.05N + 0.10D = 2.20

It can be rewritten as:

0.05$ times the number of nickels plus 0.10$ times the number of dimes is equivalent to $2.20.

Notice that 0.05$ or 5 cents is equivalent to one nickel and 0.10$ or 10 cents is equivalent to one dime.

The question asks for N+D. We know that N stands for the number of nickels Daniel has and D stands for the number of dimes Daniel has. We also know that Daniel only has dimes and nickels in his pocket. Therefore N+D most be equivalent to the total number of coins, which is given in the question to be equal to 23 coins.

Therefore...

N+D = 23

Answer:

The substitution property of equality, one of the eight properties of equality, states that if x = y, then x can be substituted in for y in any equation, and y can be substituted for x in any equation.

In easier ways, When two things are equal, we can replace one with the other, and we know that the equation will still be true.

Answer:

1) 4

2) 40

3) 22

4) 3

5) 9.5

6) 4

7)  14.2

8) 7

9) 12

10) 11

Step-by-step explanation:

1) 14 + 6 = 16

so, 16 - 12 = 4

2) 58 - 18 = 40

3) 30 - 8 = 22

4) 10 + 2= 12

so, 12 - 9 = 3

5) 15 + 3 = 18

so, 18 - 7.5 = 9.5

6) 22 - 8 = 14

so, 14 - 10 = 4

7) 19.6 - 5.4 = 14.2

8) 17 - 9 = 8

so, 8 -2 = 7

9) 54 + 8 = 62

so, 62 - 50 = 12

10) 32 - 16 = 16

so, 16 - 5 = 11

Answer:

1. 4

2. 40

3. 22

4. 21

5. 10.5

6. 4

7. 14.2

8. 6

9. 12

10. 11

Step-by-step explanation:

Based on the given information, we can assume that the table provides us with the number of hours that a group of students spent studying for the SAT during their first week of preparation. The mean study time for the second week is 10.8 hours, the median study time is 11 hours, there is no mode, and the range of study times is 13 hours.

Mean: To find the mean, we need to add up all the study times in the second week and divide by the number of students. Let's say the table shows that there were 10 students, and their study times in the first week were 2, 4, 5, 6, 7, 8, 9, 10, 12, and 15 hours. If each student added 4 hours in the second week, their new study times would be 6, 8, 9, 10, 11, 12, 13, 14, 16, and 19 hours. Adding up these new study times gives us a total of 108 hours. Dividing by the number of students (10) gives us a mean of 10.8 hours.

Median: To find the median, we need to put the new study times in order from lowest to highest and find the middle value. In this case, the new study times in order are: 6, 8, 9, 10, 11, 12, 13, 14, 16, 19. The middle value is 11, which is the median.

Mode: To find the mode, we need to look for the value that appears most frequently in the new study times. In this case, there is no mode as each value appears only once.

Range: To find the range, we need to subtract the lowest value from the highest value. In this case, the lowest value is 6, and the highest value is 19. Therefore, the range is 19 - 6 = 13.

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Answer:

A) 12

You know:

AB= 3x

AB= 3xAC= 17

AB= 3xAC= 17BC= 2x-3

Therefore, you can put the values in a number line for reference. By doing this you can see that 3x + 2x -3 (or AB +BC) = 17 (or AC)

From here you can set up the equation to be:

17 = 2x - 3 + 3x

and solve for x by combining like terms:

17= 5x-3

adding 3 to both sides:

20=5x

dividing each side by 5:

20/5=5x/5

to get:

x=4

then, you're gonna plug in your x (4) into 3x (your AB) in order to solve for AB:

AB=3x

AB=3x =3(4)

AB=3x =3(4) =12

therefore, your answer is:

AB = 12