Please solve if so thank you so much!!

True, While "-1000 2/3" is not a real fraction, it can be represented as the improper fraction -2998/3.

The statement "-1000 2/3 is not a real fraction" is true. A real fraction is a mathematical expression that represents a ratio of two real numbers. In a fraction, the numerator and denominator are both real numbers, and they can be positive, negative, or zero.

In the given statement, "-1000 2/3" is not a valid representation of a fraction. The presence of a space between "-1000" and "2/3" suggests that they are separate entities rather than being part of a single fraction.

To represent a mixed number (a whole number combined with a fraction), a space or a plus sign is typically used between the whole number and the fraction. For example, a valid representation of a mixed number would be "-1000 2/3" or "-1000 + 2/3". However, without the proper formatting, "-1000 2/3" is not considered a real fraction.

It's important to note that "-1000 2/3" can still be expressed as an improper fraction. To convert it into an improper fraction, we multiply the whole number (-1000) by the denominator of the fraction (3) and add the numerator (2). The result would be (-1000 * 3 + 2) / 3 = (-3000 + 2) / 3 = -2998/3.

In conclusion, while "-1000 2/3" is not a real fraction, it can be represented as the improper fraction -2998/3.

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Answer:

The table represents a nonlinear function because the rate is not constant.

Step-by-step explanation:

As shown in the picture below, the x side of the table has the same rate of change of +1. However, due to the fact that the y side does not have the same rate of change, +6 and +3, the table represents a non linear function. If the rate on the y side of the table were all the same, then this would be a Linear function.

Answer: 14 ounces

Step-by-step explanation:

         To find the mean, we add up all the values and divide by the number of values.

\(\displaystyle \frac{12+14+15+15+14}{5} =\frac{70}{5} =14\;ounces\)

Answer:

96 $

Step-by-step explanation:

2

\( \frac{2}{5} \)

2

\(2 \times 240\)

\(480 \div 5\)

the answer is 96$

Answer:

96$

Step-by-step explanation:

Answer:

C5

Step-by-step explanation: 10 x 2 = 20 so you add the 2 to the other one and get 4.  Then half of 10 is 5 and half of 2 is 1, so add 1 to 4 and your answer is 5.

10x2= 20 +5= 25 Answer:5

The following answers are obtained from HW, which it shows answers to.

Answer:

A. The Queen can state, "All the inscriptions are false."If the Queen can state this, in which of the trunks are the treasures hidden?

False, Cannot be determined

(b) The Queen can state, "Exactly one of the inscriptions is true."If the Queen can state this, in which of the trunks are the treasures hidden?

True, Trunk 1 and 3

(c) The Queen can state, "Exactly two of the inscriptions are true."If the Queen can state this, in which of the trunks are the treasures hidden?

True, Cannot be determined

d) The Queen can state, "All the three inscriptions are true."If the Queen can state this, in which of the trunks are the treasures hidden?

False, Cannot be determined

The area of the circle created by the paint is given by the expression 4πt².

The area of the circle is 100π, which is approximately 314.16 in².

The circle will be at least 300 in² in 5 minutes. Yes.

To find the area of the canvas, we multiply the lengths of its sides:

Area = (3x + 5) × (2x + 1)

Expanding the expression:

Area = 6x² + 3x + 10x + 5

Combining like terms:

Area = 6x² + 13x + 5

The area of the canvas is given by the expression 6x² + 13x + 5.

Now, let's find the area of the circle created by the paint.

The area of a circle is given by the formula A = πr², where r represents the radius.

The radius is given by the spreading of paint, which is r(t) = 2t.

Substituting the value of r(t) into the formula, we have:

A[r(t)] = π(2t)²

Simplifying:

A[r(t)] = π(4t²)

A[r(t)] = 4πt²

Now, let's determine if the area of the circle will be at least 300 in² in 5 minutes.

Substitute t = 5 into the area formula:

A[r(5)] = 4π(5)²

A[r(5)] = 4π(25)

A[r(5)] = 100π

Since 314.16 in² is larger than 300 in², the circle created by the paint will be larger than 300 in² in 5 minutes.

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By evaluating following logarithm equation and we we get the value of required expression is -0.54.

What is logarithm?

The logarithm is the opposite of exponentiation as a function. This indicates that the base b of another fixed number, the logarithm of a given number x, is the exponent that must be raised in order to obtain the given number x.

As per the question

we have to assume x

log x=0.27

log by=0.81

We have to calculate log bx/y by following expression

We know loge (a/b)= log_e a-log_e b

We know (x)= logb y

=0.27-0.81

= -0.54

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The circumference of the pool is 26.38 meters

The radius, r is given as:

r = 4.2

The circumference, C is calculated using:

\(C =2\pi r\)

This gives

C =2 * 3.14 * 4.2

Evaluate

C = 26.38

Hence, the circumference of the pool is 26.38 meters

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To answer this question we will use the following diagram as a reference:

Notice that the given figure is the composite of two rectangular prisms.

The volume of the bottom rectangular prism is:

Simplifying the above result we get:

The volume of the rectangular prism on the top is:

Simplifying the above result we get:

Therefore the volume of the composite space figure is:

Answer:

Explanation:

Write out an equation for the total cost. The price per pound multiplied by the number of pounds will give you the total cost.

Total cost

=

Price per pound

⋅

Number of pounds

Rearrange this algebraically to solve for  

Price per pound

. To do this, divide both sides of the equation by  

Number of pounds

to get  

Price per pound

by itself.

Total cost

Number of pounds

=

Price per pound

⋅

Number of pounds

Number of pounds

This leaves us with a new form of the equation.

Price per pound

=

Total cost

Number of pounds

All we need to do now is substitute in the given information and solve.

Price per pound

=

Total cost

Number of pounds

=

38.87

2.6

=

$

14.9

Answer:

Step-by-step explanation:

1.3 * $6.5 = 8.45

Answer:

Type II error.

Step-by-step explanation:

We have a hypothesis test for the claim that placing a seasonal cookie product on an end cap (the shelf at the end of an aisle at a store) will make a difference in sales.

The null hypothesis will state that there is no difference, while the alternative hypothesis will state that there is significant positive difference.

The result is a P-value of 0.1288 and the null hypothesis failing to be rejected.

As the null hypothesis failed to be rejected, if an error has been made in the conclusion, is that we erroneusly accept a false null hypothesis.

This is a Type II error, where the null hypothesis is accepted although the alternative hypothesis is true.

A local maximum is one in which the function reaches the maximum value after being evaluated.

Answer:

its 26

Step-by-step explanation:

Answer:

1 mm = 1/10 cm

260 mm = 260/10 cm

260 mm= 26 cm

Step-by-step explanation:

plz add it as brainliest answer

Answer:

(C.) d= sqrt (x2-x1)^2+(y2-y1)^2, where d is the distance between points (x1,y1) and (x2,y2).

Step-by-step explanation:

Answer:

\(\Huge \boxed{\mathrm{C }}\)

Step-by-step explanation:

\(\sf The \ distance \ formula \ is \ given \ as:\)

\(d=\sqrt{(x_2-x_1)^2 +(y_2-y_1)^2 }\)

\(d \Rightarrow \sf distance\)

\((x_1,y_1) \Rightarrow \sf Coordinates \ of \ the \ first \ point\)

\((x_2,y_2) \Rightarrow \sf Coordinates \ of \ the \ second \ point\)

Answer:

Use the distributive property to get 4c-12=8

Divide both sides by 4 to get c-3=2

Step-by-step explanation:

1) it's a function 2) for each number 3) set a input and set b output

to be a function, no ordered pairs should have same first coordinate, hence this is a function

Answer:

  (c)  (-30)⁴

Step-by-step explanation:

You want to simplify the product (-6)⁴×(5)⁴.

An exponent is an indicator of repeated multiplication:

  (-6)⁴ = (-6)(-6)(-6)(-6) . . . . . . the factor -6 is repeated 4 times

  (5)⁴ = (5)(5)(5)(5)

Then the product is ...

  (-6)⁴ × (5)⁴ = (-6)(-6)(-6)(-6)(5)(5)(5)(5)

The commutative and associative properties of multiplication let you regroup this to ...

  (-6)(5)×(-6)(5)×(-6)(5)×(-6)(5) = (-30)(-30)(-30)(-30)

Using the exponent to signify repeated multiplication, this can be written as the equivalent ...

  (-30)⁴

__

Additional comment

This product has an even number of minus signs, so will be positive. It is fully equivalent to ...

  30⁴.

The probability of pulling out a number which is divisible by 2 or 3 will be 7/10 which is not given here. So, option D will be the answer.

How do we find Probability?

The measurement through which we find the likelihood of an event to occur is called probability. We cannot predict a lot of events with total certainty. And thus, the chance of a event to occur (i.e. how likely they re going to happen) can be predicted using probability.

Probability of any event to happen can be find as: No of favorable outcomes/Total number of outcomes.

Here,

The total no of outcomes = 1,2,3,4,5,6,7,8,9,10

No of favorable outcomes ={2,3,4,6,8,9,10} = 7

Therefore, P(E) = 7/10

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The degree measure of each angle in the triangle exists 80, 50, 50

The angle is said to have a measure of one degree, denoted by the symbol 1°, if the rotation from the initial side to the terminal side is (1/360)th of a revolution. Radian length. An angle is said to have a measure of 1 radian if it is subtended at its center by an arc of length 1 unit in a unit circle.

Since the triangle exists an isosceles triangle, the base angles are equal.

The three interiors angles of the triangle are,

(3 x+47),(4 x+6),(4 x+6)

The sum of these three angles must equivalent to 180°.

(3 x+47)+(4 x+6)+(4 x+6)=180

We group like terms to get,

3 x+4 x+4 x=180-47-6-6

This simplifies to,

11 x = 121

We divide both sides by 11 to get,

The measure of the angles are,

(3(11)+47),(4(11)+6),(4(11)+6)

simplifying the above equation, we get

(33+47),(44+6),(44+6)

80, 50, 50

Therefore, the degree measure of each angle in the triangle exists 80, 50, 50.

The complete question is:

Suppose that QRS is isosceles with base SQ . Suppose also that =m∠R+3x47° and =m∠S+4x6° . Find the degree measure of each angle in the triangle.

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The quadratic function for the path of the basketball as it is thrown indicates;

The path of the basketball will not make the shot

The height reached is about 5.24 meters

A quadratic function is a function of the form; f(x) = a·x² + b·x + c, where a ≠ 0, and a, b, c, are numbers.

The function for the path of the basketball is; b(x) = (-1/7)·x² + 1.36·x + 2

The function for the location of the basketball net is; n(x) = 3 and (8 < x < 8.5), where;

n(x) = The vertical height of the basketball

Plugging in the value of the n(x) = b(x), to check if equations have a common solution, we get;

b(x) = n(x) = 3 = (-1/7)·x² + 1.36·x + 2

(-1/7)·x² + 1.36·x + 2 - 3 = 0

(-1/7)·x² + 1.36·x - 1 = 0

(1/7)·x² - 1.36·x + 1 = 0

Solving the above equation, we get;

x = (119 - √(9786))/(25) ≈ 0.803, and x = (119 + √(9786))/(25) ≈ 8.717

Therefore, the x-coordinates of the height of the path of the basketball when the height is 3 meters are 0.803 and 8.717, neither of which are within the range (8 < x < 8.5), therefore, the baseketball will not go through the net and the path will not make the shot.

Bonus; The x-coordinates of the highest point of a quadratic function, f(x) = a·x² + b·x + c is; -b/(2·a)

Therefore, the x-value at the highest point of the equation, b(x) = (-1/7)·x² + 1.36·x + 2 is; x = -1.36/(2 × (-1/7)) = 1.36 × 7/2 = 9.52/2 = 4.76

The height of the highest point is; b(9.52) = (-1/7)·(4.76)² + 1.36·(4.76) + 2 ≈ 5.24 meters

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Step-by-step explanation:

This is a geometric series where our common ratio is -1/2, and a is -4

Since r is less than -1, this series converges so

The sun is

\( \frac{ - 4}{1 + 0.5} \)

\( \frac{ - 4}{1.5} = - \frac{8}{3} \)

The sum is -8)3

The correct value of Jessica's new net salary will be $225.

To calculate Jessica's new net salary after a 5% raise, we need to first determine Sarah's gross salary. We know that Sarah's net salary is $212.50, and 15% of her gross salary is withheld each week.

Let's denote Sarah's gross salary as "G." We can set up the following equation:

G - 15% of G = $212.50

Simplifying the equation, we have:

G - 0.15G = $212.50

0.85G = $212.50

G = $212.50 / 0.85

G ≈ $250

Sarah's gross salary is approximately $250.

Now, to find Jessica's new net salary after a 5% raise, we can calculate 5% of Sarah's gross salary and subtract the withheld amount:

Jessica's net salary = Sarah's gross salary + 5% of Sarah's gross salary - 15% of Sarah's gross salary

Jessica's net salary = $250 + 0.05 * $250 - 0.15 * $250

Jessica's net salary = $250 + $12.50 - $37.50

Jessica's net salary = $225

Therefore, Jessica's new net salary will be $225.

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Answer:

A

Step-by-step explanation:

The fact you need to use is 47%

47/100 * 47/100 = 2209 / 10000 = 0.221

A function modeling the volume of the box can be found, and the values of x for which the volume is greater than 230 in2 are x = [-2.636, 2.636]. The largest volume is 480 in2, which is achieved when x = 5.

A function that models the volume V of the box can be found by subtracting four \(x2\)from both the length and the width, and then multiplying the result to get the volume:

V = \((12 - 4x2)(20 - 4x2)\)

To find the values of x for which the volume is greater than 230 in2, we can solve the equation

V = \((12 - 4x2)(20 - 4x2) = 230\) for x.

This gives x values of ±2.636

Thus, the values of x for which the volume is greater than 230 in2 are x = [\(-2.636, 2.636\)].

The largest volume that such a box can have is 480 in2, which is obtained when x is equal to the length or width divided by two. This occurs when x = 10/2 = 5. Thus, the largest volume that such a box can have is 480 in2.

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part a.

There is  a 49.1% chance that HRC finds a sample mean between $477 and $527.

part b.

There is a 20.9% chance that the sample mean falls between $492 and $512.

The standard error (SE) of the sample mean.

SE = σ / √(n)

σ = $80 and n = 68.

SE = 80 / √(68)

z1 = (X1 - μ) / SE

z2 = (X2 - μ) / SE

for first scenario:

X1 = $477, X2 = $527, and μ = $499.

z1 = (477 - 499) / SE

z2 = (527 - 499) / SE

For the range $477 to $527:

z1 = (477 - 499) / SE

z2 = (527 - 499) / SE

z1 = -0.275

z2 = 0.35

Probability 1 =  0.4909 = 49.1%

We have a 49.1% chance that HRC finds a sample mean between $477 and $527.

For the second scenario

X1 = $492, X2 = $512, and μ = $499.

z1 = (492 - 499) / Standard Error

z2 = (512 - 499) / SE

We have a 20.9% chance that the sample mean falls between $492 and $512.

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Answer:

(3) 3

Step-by-step explanation:

An arithmetic sequence is a sequence of numbers in which each of them can be defined by adding a common difference to a term to find the next term.

So for example, let the first term, or number be expressed as: \(a_1\) and the common difference be expressed as: \(d\) That means the second term, or number can be defined as: \(a_2=a_1+d\). If we now add the common difference to the second term, we would get the third term, and so on.

An arithmetic sequence can be compared to that of a linear equation, except it's a sequence of numbers... and also it's restricted to integers greater than zero (starts at first term, second term.... and so on)

So the common difference can be compared to the slope, and we can actually just use the slope formula! The "x" value being the term number, and the "y" value being the term. So the first term in the sequence is 5 can be expressed as: (1, 5) and the fifth term is 17 can be expressed as (5, 17). Now using the slope formula we would get: \(d=\frac{17-5}{5-1}=\frac{12}{4}=3\)

Another way to think of it is the first term is 5, and if we add "d" or the common difference to it, we get the second term, if we add another "d" we get the third term, if we another "d" we get the fourth term and if add yet another "d" we get the fifth term. We add a total of four "d's" which can be expressed as: \(5+4d\) and this equals the fifth term, but we also know this to be equal to 17, so we can set them equal to each other: \(5+4d=17\) now just subtract 5 and divide by 4 to get: \(d=3\)

The table should be completed as follows;

Year          Starting Balance             Interest           Ending Balance

1                     $8500                          $510                 $9010

2                    $9010                           $510                $9520

3                    $9520                          $510                $10030

4                    $10030                          $510               $10540

5                    $10540                          $510                $11050

In Mathematics, simple interest can be calculated by using this formula:

S.I = PRT or S.I = A - P

Where:

By substituting the given parameters into the simple interest formula, we have;

S.I = 8500 × 6/100 × 1

S.I = 8500 × 0.06 × 1

S.I = $510.

Note: The simple interest rate of $510 would be constant.

After 1 year, we have:

Ending balance, A = S.I + P

Ending balance, A = $510 + $8500

Ending balance, A = $9010.

After 2 years, we have:

Ending balance, A = $510 + $9010

Ending balance, A = $9520.

After 3 years, we have:

Ending balance, A = $510 + $9520

Ending balance, A = $10030.

After 4 years, we have:

Ending balance, A = $510 + $10030

Ending balance, A = $10540.

Next, we would calculate the ending balance after 5 years as follows;

Ending balance, A = $510 + $10540

Ending balance, A = $11050.

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Answer:

Yes, the triangles are similar because they have the same 2 angles congruent, and X=12.44

Step-by-step explanation:

The person who gets to say the last number, 1000, will be Person 6.

Here, we have,

In this scenario, we have seven people sitting in a circle and counting clockwise. The goal is to determine which person will say the last number when they reach 1000. To solve this problem, we can use the concept of modular arithmetic.

When dividing 1000 by the total number of people (7), we get a quotient of 142 and a remainder of 6 (1000 = 142*7 + 6). This means that after completing 142 full rounds of counting, the group will have reached the number 994 (142*7). In the next round, they will continue counting from 995 to 1000.

Since the remainder is 6, it indicates that the last number (1000) will be spoken by the person sitting 6 positions after the first person in the circle (clockwise). In other words, Person 1 says numbers 1, 8, 15, and so on, while Person 6 will say 6, 13, 20, and so on.

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complete question:

10) Seven people sit in a circle and begin counting clockwise starting from 1.Each person in the group is keeping track of the numbers she is saying (e.g. 1,8, 15...) If they continue in this way, counting on and on, until they reach 1000, which person will get to say the last number