someone please help me

In this expression, the Constant Rate of change will be $6.25

Given that Steven earns $31.25 for 5 hours and $50 for 8 hours. In this, we can say that there is a constant Rate of change which is charged for each hour Steven works.

Constant Rate of Change is when the Rate of an expression remains constant throughout system equations. In this case, we can find out the constant rate of change by:

Taking expression, Amount = C.R. * Hours, where C.R is Constant Rate 'x'

So, we get:  Amount = x * Hours.

Comparing this expression to given conditions we get:

For Amount 31.25 and 5 Hours: 31.25 = 5x  => x = 6.25

For Amount 50 and 8 Hours: 50 = 8x   => x = 6.25

Here, the rate of change is constant in both cases which tells that Steven charges a Constant of $6.25 for a single hour.

Hence, the Constant Rate of change will be: $6.25

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The displacement of the object between t=0 and t=1 second is 5.66 m.

The displacement of the object between t=0 and t=1 second is calculated as follows;

The given equation of the object's motion;

x = 4 cos (πt  +  π/4)

where;

at a time, t = 0 second, the displacement of the object is calculated as;

x = 4 cos (πt  +  π/4)

x = 4 cos (0 + π/4)

x = 4 cos (π/4)

x = 2.83 m

at time t = 1 second, the displacement of the object is calculated as;

x = 4 cos (π  + π/4)

x = 4 cos (5π/4)

x = -2.83 m

The displacement of the object between the time given;

x = 2.83 m - ( - 2.83 m )

x = 5.66 m

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Given:

m = 10

The line passes through the point (6,2).

To find:

The equation of line in the standard form.

Solution:

If a line passes through the point \((x_1,y_1)\) with slope m, then the equation of line is

\(y-y_1=m(x-x_1)\)

The line passes through the point (6,2) and m = 10. So, the equation of line is

\(y-2=10(x-6)\)

\(y-2=10x-60\)

\(y-10x=-60+2\)

\(-10x+y=-58\)

Therefore, the correct option is A.

Answer:p=-6

Step-by-step explanation:

The value of x in the algebraic expression is option A  96.

Given,

The algebraic expression; 15 = x/6 - 1

We have to solve the expression and find the value of x.

Here,

15 = x/6 - 1

First solve the right hand side

x/6 - 1 = (x - 6) / 6

Now,

15 =  (x - 6) / 6

Multiply both sides with 6.

15 × 6 = (x - 6) × 6 / 6

90 = x - 6

Now add 6 to both sides

90 + 6 = x - 6 + 6

x = 96

That is,

The value of x in the algebraic expression is option A  96.

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Answer:

see details below

Step-by-step explanation:

First, assume >2 was meant to be &super;. or square.

then the given equations are:

A 3x^2-5=-8

b 2x^2=6x-5

c 12x=9x^2 +4

d -x^2 - 10x =34

In all cases, rearrange equation to identify parameters a, b and c, then calculate determinant using D=b^2-4ac.

A 3x^2x-5=-8

   3x^2-5x+8=0, a=3, b=-5, c=8

   D=b^2-4ac = (-5)^2-4*3*8 = 25 - 96  = -71  < 0   => 2 complex solutions

B 2x^2=6x-5

   2x^2-6x+5, a=2, b=-6, c=5

   D=b^2-4ac = (-6)^2-4*2*5 = 36 - 40 = -4  < 0   => 2 complex solutions

C 12x=9x^2 +4

   9x^2-12x+4, a = 9, b=-12, c=4

   D=b^2-4ac = (12)^2-4*9*4 = 144 - 144 = 0   => 2 real coincident solutions    

D -x^2 - 10x =34

   -x^2-10x-34, a = -1, b=-10, c=-34

    D=b^2-4ac = (-10)^2-4*(-1)*(-34) = 100 - 136 = -36   <0  => 2 complex  solutions    

Answer:

2

Step-by-step explanation

Rate of change is the slope, \(\frac{Y}{X}\)

The distance from our y values which are -1 and 5 is 6.

The distance from our x values which 4 and 7 is 3.

Since its \(\frac{Y}{X}\) The 6 would be over the 3 as 6/3 which simplifies to 2 or 2/1.

The answer is A. 1 1/4. The way to figure it out it to add the 1/4 to the 3/4 that is one cup and then you have 1/4 leftover.

Hope this helps :)

Albert borrowed $17 from his friend.

Given,

Albert brought some items:

Cost of blanket = $32.75

Cost of pillow = $12.75

Cost of glove = $16.25

Amount paid by Albert = 50

Amount borrowed by Albert from his friend = x

Cashier gave back the change = $5.25

We have to find the amount borrowed by Albert from his friend:

This is simply arithmetic operations:

Total cost in shop = 32.75 + 12.75 + 16.25 = $61.75

Total amount given to the cashier = 61.75 + 5.25 = 67

Amount borrowed by Albert from his friend = Total amount given to the cashier - Amount paid by Albert

x = 67 - 50

x = 17

That is,

Albert borrowed $17 from his friend.

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Answer:

Step-by-step explanation:

One that has the next least in common with the rest.

The child who received more land if the land was divided evenly among them compared to the way the mother divided it is Sofia. Option (d) is correct.

A mother divided her land of 141/4 acres among her 5 adopted adult children such that Samuel received 11 acres, Sophia received 9 acres, Anthony received 8 acres, Jasmine received 5 acres, and Juan received 4 1/4 acres.

Among the given children, the child who received more land if the land was divided evenly among them compared to the way the mother divided it is Sofia.

To determine the land received by each child if the land was divided evenly among them, divide the total area by the number of children.

Therefore, each child would receive 141/4 ÷ 5 acres.

141/4 ÷ 5 = 113/20 ≈ 5.65 acres.

(to two decimal places)

Approximately, each child would receive 5.65 acres of land.

Which is not how the mother divided her land among the children.

Now, let's compare the area of land that each child received with the 5.65 acres they would have received if the land was divided evenly among them.Samuel received 11 acres.

11 > 5.65

So, Samuel received more land than they would have received if the land was divided evenly among them.Sophia received 9 acres.

9 < 5.65

So, Sophia received less land than they would have received if the land was divided evenly among them.

Anthony received 8 acres.

8 < 5.65

So,

Anthony received less land than they would have received if the land was divided evenly among them.

Jasmine received 5 acres.

5 = 5.65

So, Jasmine received the same land as they would have received if the land was divided evenly among them.

Juan received 4 1/4 acres.

21/4 = 5.25 and

5.25 < 5.65

So, Juan received less land than they would have received if the land was divided evenly among them.

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Here is the Python code for the given problem statement:

```
def is_fib(n):
   if n == 0:
       return False
   a, b = 1, 1
   while b < n:
       a, b = b, a + b
   return b == n
   
def sum_fib(n):
   a, b = 1, 1
   while a <= n:
       if is_fib(n - a):
           return True
       a, b = b, a + b
   return False
   
def fibonacci_sum(a):
   return [sum_fib(n) for n in a]```

The function is_fib checks if a given number n is a Fibonacci number or not. The function sum_fib checks if a given number n is the sum of two Fibonacci numbers or not.

The function fibonacci_sum returns a list of booleans corresponding to whether each number in the input list is the sum of two Fibonacci numbers or not.

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Answer:

We can start solving the problem by using algebra. Let x be the number of points scored by each girl, and y be the number of points scored by each boy. Then, based on the information given in the problem, we have the following equations:

x + y = 27 (the total number of points scored by the team)

3x - 2y = 15 (the difference between the number of points scored by the 3 girls and the 2 boys)

To solve for x and y, we can use the second equation to eliminate one of the variables. Multiplying both sides of the second equation by 2, we get:

6x - 4y = 30

Now we can substitute this into the first equation:

6x - 4y + y = 27

6x = 27 + 4y

x = (27 + 4y)/6

Now we can substitute this back into the second equation:

3((27 + 4y)/6) - 2y = 15

27 + 2y - 2y = 15

27 = 15

This is a contradiction, so the given information is insufficient to find the number of points scored by each girl and each boy.

Step-by-step explanation:

The least number of blocks with which he can do is 168 blocks.

What is the least Common Multiple (LCM)?

The Least Common Multiple (LCM) is a method for determining the smallest common multiple of two or more numbers. A common multiple is a number that is the product of two or more numbers.

Least number of blocks = LCM of 6cm, 7cm, and 8cm.

Multiples of 6 - 6,12,18,24,30,36,42,48,54,60

Multiples of 7 - 7,14,21,28,35,42,49,56,63,70

Multiples of 8 - 8,16,24,32,40,48,56,64,72,80

Common Multiples - 168

Least Common Multiple - 168

So the least number of blocks with which he can do is 168 blocks.

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The image of A as an ordered pair are,

⇒ (- 12, - 5) and (- 7, - 6)

And, The image of B as an ordered pair are,

⇒ (- 9, - 1) and (- 4, - 2)

We have to given that,

Line segment AB has endpoints A (- 8, - 8) and B (- 5, - 4).

Here,. We have to given that,

Translation rules are,

(x, y) → (x - 4, y + 3)

(x, y) → (x + 1, y + 2)

Now, The image of A as an ordered pair are,

A (- 8, - 8) → (- 8 - 4, - 8 + 3) = (- 12, - 5)

A (- 8, - 8) → (- 8 + 1, - 8 + 2) = (- 7, - 6)

And, The image of B as an ordered pair are,

B (- 5, - 4) → (- 5 - 4, - 4 + 3) = (- 9, - 1)

B (- 5, - 4) → (- 5 + 1, - 4 + 2) = (- 4, - 2)

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The equation is 8-w

Replace w with -20

8 - -20

When you subtract a negative number it changes to addition:

8 + 20 = 28

Answer: 28

If we test H₀ : μ = 16 versus H₁ : μ ≠ 16 at α = 0.01, reject H₀ in favor of H₁. The correct answer is (a)

If the confidence interval for the population mean does not contain the hypothesized value in the null hypothesis, then we can reject the null hypothesis in favor of the alternative hypothesis.

In this case, the confidence interval is centered around 10.15, and it does not contain the hypothesized value of 16. Therefore, we can conclude that we have evidence to reject the null hypothesis at a significance level of 0.01 and accept the alternative hypothesis that the population mean is not equal to 16.

It is important to note that this decision is based on the confidence interval and significance level given in the question. If the confidence level or significance level were different, the decision might be different as well.

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we can use trigonometry

where a is the angle

oppositeside and the oppiste side from the angle a

so replacing

the measure of theta is 11.57°

Answer:

10%

Step-by-step explanation:

5/50 = 10/100

10/100 = 10%

Answer:

5 gallons is 10% capacity.

Step-by-step explanation:

5 gallons accounts for 10% of a container which holds 50 gallons.

\((\frac{1}{10} )*50=5\)

Answer:

Step-by-step explanation:

Terms with same variables are like terms

1) 10x + 3y + 5x

Here, 10x and 5x are like terms. so add them

10x + 5x + 3y = 15x +3y

2)2x + 7y +4x + 6x = 2x + 4x + 6x + 7y = 12x + 7y

3)9y+ 3y +5x = 12y +5x

4)2y +7y +4y +6y = 19y

5)8x + y - 2x = 8x  -2x + y = 6x + y

6) x + 7y -4y +9x = x +9x  + 7y - 4y    = 10x + 3y

8) 5y +5y +5y +5x = 15y + 5x

Arithmetic average return of the company is 2.57%.Geometric average return of the company is 13%.Variance of the company is 56.Standard deviation of the company is 7.48%.

Given, Returns of the company for the last few years are 5%, 10%, -15%, 20%, -12%, 22%, 8%
Arithmetic Average return:
Arithmetic Average return = (sum of all returns) / (total number of returns)
Arithmetic Average return = (5 + 10 - 15 + 20 - 12 + 22 + 8) / 7= 18 / 7= 2.57
Therefore, the arithmetic average return of the company is 2.57%.
Geometric average return:
Geometric average return = [(1+R1) * (1+R2) * (1+R3) * …….. * (1+Rn)]1/n - 1
Geometric average return = [(1.05) * (1.1) * (0.85) * (1.2) * (0.88) * (1.22) * (1.08)]1/7 - 1= 0.13
Therefore, the geometric average return of the company is 13%.
Variance:
Variance = (sum of (return - mean return)2) / (total number of returns)
Mean return = (5 + 10 - 15 + 20 - 12 + 22 + 8) / 7= 18 / 7= 2.57
Variance = [(5-2.57)2 + (10-2.57)2 + (-15-2.57)2 + (20-2.57)2 + (-12-2.57)2 + (22-2.57)2 + (8-2.57)2] / 7= 392.12 / 7= 56
Therefore, the variance of the company is 56.
Standard Deviation:
Standard Deviation = Square root of Variance
Standard Deviation = √56= 7.48
Therefore, the standard deviation of the company is 7.48%.

Thus, Arithmetic average return of the company is 2.57%.Geometric average return of the company is 13%.Variance of the company is 56.Standard deviation of the company is 7.48%.

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Answer:

23

Step-by-step explanation:

Answer:

the answe is -4

Step-by-step explanation:

first you distribute the five to the numbers in the paranthesis

5(-2n+6)

-10n+30=70.

than we subtract 30 from the 30 and 70

-10n=40

Next we divide by 10 to 40 and -10n

n=-4

the reason it negative is because if you divide a negative and a positive it always make a negative.

9514 1404 393

Answer:

  A, C

Step-by-step explanation:

The values listed (least-to-greatest) are ...

  {-5, -2, 0, 2}

All of these values are integers.

Not all of these values are between -4 and 2. (-5 is outside that range)

All of these values are less than 5.

__

The true statements are A and C.

Answer:

2/7 and 9/35

Step-by-step explanation:

a) the fraction of children that take Spanish is 10/35. when reduced to the lowest form, it is 2/7

b) the fraction of children that take Geography is 9/35.

Answer:

II and III only

Step-by-step explanation:

The cash price of her purchase would be $5262.79

If n is the number of times the interested is compounded each year, and 'r' is the rate of compound interest annually, then the final amount after 't' years would be:

\(a = p(1 + \dfrac{r}{n})^{nt}\)

The Present value = C [1 - (1+i)^(-n)]/i

C = the amount of payment per period

i = interest rate

n=number of payments

In this problem we have;

C = $174.80

i = 12% per year compounded monthly

 = 12/(12 x 100)

 = 0.01

n = 3 x 12 = 36 months

Present Value = 174.80[1  - (1+0.01)^(-36)]/0.01

Cash price = $5262.79

Hence, the cash price of her purchase would be $5262.79

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There are 9,999 natural numbers that have no more than 4 digits.

To determine the number of natural numbers that have no more than 4 digits, we consider the range of numbers from 1 to 9,999.

The natural numbers with no more than 4 digits include all numbers from 1 to 9 (which form the single-digit numbers), all numbers from 10 to 99 (which form the two-digit numbers), all numbers from 100 to 999 (which form the three-digit numbers), and all numbers from 1,000 to 9,999 (which form the four-digit numbers).

To calculate the total count, we can add the number of single-digit numbers, two-digit numbers, three-digit numbers, and four-digit numbers:

Single-digit numbers: 9 (from 1 to 9)

Two-digit numbers: 90 (from 10 to 99)

Three-digit numbers: 900 (from 100 to 999)

Four-digit numbers: 9,000 (from 1,000 to 9,999)

Adding these counts together:

9 + 90 + 900 + 9,000 = 9,999

Therefore, there are 9,999 natural numbers that have no more than 4 digits.

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The radius of the cone is 783.84/√h

A cone is the surface traced by a moving straight line (the generatrix) that always passes through a fixed point (the vertex).

Volume is defined as the space occupied within the boundaries of an object in three-dimensional space.

The volume of a cone is expressed as;

V = 1/3πr²h

643072 × 3 = 3.14 × r²h

r²h = 614400

r² = 614400/h

r = 783.84/√h

therefore the radius of the cone is 783.84/√h

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Answer:

Jackie divided the number of quarts by 2. There are 2 pints in each quart. She should have multiplied by 2; so Jackie made 20 pints of lemonade.