5. g(x) = 7x, find g(-7)

Answer: $14.60/guest

Step-by-step explanation:

$6,124/240 = $14.60/guest

To calculate the deposit, we need to add up the amounts of the two checks and the cash: $90.50 + $90.50 + $45.00 + $150.00 = $376.00. Therefore, the deposit is $376.00.

The problem asks us to calculate the deposit amount for two checks of $90.50 each, and cash of $45.00 and $150.00. To solve the problem, we simply add up the amounts of the checks and cash to find the total deposit amount. Adding $90.50 and $90.50 gives us $181.00, and adding this to the cash amounts of $45.00 and $150.00 gives us a total of $376.00. Therefore, the deposit amount is $376.00. This is the total amount of money that will be added to the account when the checks and cash are deposited.

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The frequency of mice that are heterozygote is 0.3492

It is required to find the frequency.

The number of waves that pass a fixed point in unit time being, measured in hertz(Hz).The number of cycles or vibrations undergone during one unit of time by a body in periodic motion.

Given:

Population =200 mice

Gray fur mice= 120 mice

By the use of Hardy-Weinberg equation we have,

Hardy-Weinberg equation is given by

p² + 2pq + q² = 1 and p + q = 1

where, 2pq is the heterozygote frequency.

p² = 120/200

p = 0.7746

p + q = 1

q = 0.2254

Heterozygote frequency = 2pq = 2(0.2254)(0.7746) = 0.3492

Therefore, the frequency of mice that are heterozygote is 0.3492.

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The percent of attendance figures that differs from the mean by 1500 persons or more is 6.68%.

From the question above, Mean μ = 10,000

Standard Deviation σ = 1,000

The formula for z-score is :

z = (x-μ) / σ

Where, x = observation

z = z-score

Mean μ = 10,000

Standard Deviation σ = 1,000

From the above formula, let's calculate z-score for x = 11,500

z = (x-μ) / σ

z = (11,500 - 10,000) / 1000

z = 1.5

Now, find the probability of attendance figures that differs from the mean by 1500 persons or more.

P(z ≥ 1.5) = 0.0668

To find the percentage, we need to multiply the above value by 100.

P(z ≥ 1.5) × 100 = 0.0668 × 100 = 6.68%

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In a right triangle with both legs having length 1, the length of the hypotenuse is √2, and when a line of length 1 is drawn perpendicular to the hypotenuse, the length of the new hypotenuse remains √2.

In a right triangle with both legs having a length of 1, we can use the Pythagorean theorem to find the length of the hypotenuse.

By applying the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides, we have:

h² = 1² + 1²

h² = 1 + 1

h² = 2

Taking the square root of both sides, we find:

h = √2

So, the length of the hypotenuse in the original right triangle with both legs having a length of 1 is √2.

Now, if we draw a line of length 1 perpendicular to the hypotenuse and create a new triangle, we form two smaller right triangles. In this case, each of the smaller right triangles is a 45-45-90 triangle.

In a 45-45-90 triangle, the length of the hypotenuse is equal to √2 times the length of either leg. Therefore, the length of the new hypotenuse in the smaller triangle is:

√2 × 1 = √2

So, the length of the new hypotenuse is also √2.

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A

B or D is your answer

Hope this helps

Step-by-step explanation:

N || P

Step-by-step explanation:

the most reasonable answer to me is that coz line n and p will neva meet but I also like L || M(not sure)

hope that helps

Answer:

270 s

Step-by-step explanation:

4 minutes = 240s

add the other 30s

boom

The percentage of absent employees that are on the night shift is  56.25%.

To find the percent of absent employees on the night shift, we'll first calculate the percentage of employees who are absent from both shifts, and then use that information to find the desired percentage.

1. We know that 70% of the employees work the day shift, so the remaining 30% work the night shift.

2. On any given day, 1% of day-shift employees are absent, and 3% of night-shift employees are absent.

3. Calculate the percentage of absent employees from both shifts:

(1% of 70%) + (3% of 30%).

This would be (0.01 * 70) + (0.03 * 30) = 0.7 + 0.9 = 1.6%.

4. Now, we'll find the percent of absent employees on the night shift out of the total absent employees. Since 3% of night-shift employees are absent, and there are 30% night-shift employees, the percentage of absent night-shift employees out of total employees is (0.03 * 30) = 0.9%.

5. Finally, divide the percentage of absent night-shift employees by the total percentage of absent employees and multiply by 100 to get the answer: (0.9 / 1.6) * 100 = 56.25%.

So, 56.25% of absent employees are on the night shift.

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The profit for selling 83 bumper stickers is $302.

The profit for selling 83 bumper stickers the revenue for selling x bumper stickers is given by f(x) = 5x dollars and the profit is $30 less than 80% of the revenue.

To solve this problem need to apply the formula for profit and revenue.

The revenue for selling 83 bumper stickers by substituting x = 83 in the equation f(x) = 5x:

Revenue = f(83)

= 5(83)

= 415 dollars

The profit using the formula:

Profit = 0.8 × Revenue - 30

Substituting the value of revenue, we get:

Profit = 0.8 × 415 - 30

Profit = 332 - 30

Profit = 302

The profit for selling 83 bumper stickers is $302.

The concepts of revenue and profit in business.

Revenue is the total amount of money earned from selling goods or services while profit is the amount of money earned after subtracting the costs from the revenue.

The revenue function and a formula for calculating profit allowed us to find the profit for a specific number of sales.

Understanding these concepts and their applications can help individuals and businesses make informed decisions and improve their financial performance.

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Answer:

impossible

Step-by-step explanation:

there is no yellow on the spinner

A property map is drawn at a scale of 1:1000, if the distance between two points on the map is 4.9cm. then the actual distance is = 4.9 * \(10^{3}\)

A property map is drawn at a scale of 1:1000

The distance between two points on the map is 4.9cm

Based on the given conditions, formulate :

= 4.9 * 1000/1

= 4.9 * 1000

Calculate the product or quotient,

= 4900

This alternative forms is,

= 4.9 * \(10^{3}\)

Therefore,

The actual distance is = 4.9 * \(10^{3}\), if the distance between two points on the map is 4.9cm.

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By using factοrs, the numbers are 17, 35, 12, 50.

A factοr is a number that can be evenly divided intο anοther number withοut leaving a remainder. In οther wοrds, when yοu divide οne number by anοther number and the remainder is zerο, then the secοnd number is a factοr οf the first number.

a) The οnly number less than 40 with 7 as a factοr is 7 itself. Since the sum οf the digits is 8, and 7 is already οne οf the digits, the οther digit must be 1. Therefοre, the number is 17.

b) The twο factοrs οf the mystery number are 3 and 5. The οnly number less than 100 with 3 and 5 as factοrs, and with digits that are 1 apart, is 35.

c) The cοmmοn multiple οf 3, 4, and 10 is 60, which is a factοr οf 120. The οnly factοr οf 120 with digits that add up tο 6 is 12 (1+2=3).

d) The cοmmοn multiple οf 2 and 5 that is a factοr οf 100 is 10. The οnly number less than 100 that is a multiple οf 2 and 5 and has digits that add up tο 5 is 50 (5+0=5).

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The altitude of the equilateral triangle is 2√3

The trigonometric functions are real functions which relate an angle of a right-angled triangle to ratios of two side lengths.

The triangle is an equilateral triangle and this means that all its sides are equal.

Bisect the equilateral triangle into 2, this means that the base part is divided and one side will be 2.

Using Pythagorean theorem;

The height of the triangle is calculated as;

h² = 4² - 2²

h² = 16 -4

h² = 12

h = √12

h = 2√3

Therefore the altitude of the triangle is 2√3

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The hatched percentage is the 50% of the total area of the rectangle, the correct option is a.

Let's define the height of the rectangle as H and the length as L, then the area of the rectangle is:

L*H

Now we can see that the hatched area is defined by two right triangles, both of height H and of bases b₁ and b₂, such that:

b₁ + b₂ = L

Then the area of these triangles is:

\(A = b_1*H/2 + b_2*H/2 = (b_1 + b_2)*H/2 = L*H/2\)

This is half the area of the rectangle, so the hatched percentage is the 50%.

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The 68th percentile on the standard normal curve corresponds to the mean value of the data set. This statement is false.

The 68th percentile on the standard normal curve corresponds to one standard deviation away from the mean. In other words, approximately 68% of the data falls within one standard deviation of the mean on the standard normal distribution. This is a property of the normal distribution, which is a continuous probability distribution commonly used in statistics.

To clarify, the mean value of a data set is the arithmetic average of all the values in the data set. It is not directly related to the 68th percentile on the standard normal curve. The mean is a measure of central tendency and is influenced by all the data values, while the percentile is a measure of relative position in the distribution of data.

Therefore, it is important to understand the difference between percentiles and measures of central tendencies, such as mean, median, and mode, when analyzing data using statistical techniques.

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La cantidad máxima de niños que pueden invitar Enrique y Silvia a la fiesta de su nieta, Sofía, es x = 10.

Enrique y Silvia van a dar una fiesta a su nieta Sofía y desean saber cuántos niños como máxi-mo deben invitar; el dinero que tienen está re-

presentado por D= $ 7 500x y los gastos están representados por G = $ 5 900x + 25. ​

Establecer la ecuación.

D = 7500x  -  G

7 500x - 5 900x - 25 = 0

Resolver la ecuación.

1 500x = 25

x = 10

Interpretar la solución.

La cantidad máxima de niños que pueden invitar Enrique y Silvia a la fiesta de su nieta, Sofía, es x = 10.

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Answer: It's -49

Step-by-step explanation:

:)

By polar form properties, the product of complex numbers (5 · cos 225° + i 5 · sin 225°) and (2 · cos 135° + i r₂ · sin 135°).

In this question we find the case of the product of two complex numbers in rectangular form but including features of polar form (magnitude, direction). Then, we have the following situation:

(r₁ · cos θ₁ + i r₁ · sin θ₁) · (r₂ · cos θ₂ + i r₂ · sin θ₂)

Result can be found easily by transforming the expression into polar form:

(r₁, θ₁) · (r₂, θ₂) = (r₁ · r₂, θ₁ + θ₂)

[r₁ · r₂ · cos (θ₁ + θ₂) + i r₁ · r₂ · sin (θ₁ + θ₂)]

If we know that r₁ = 5, r₂ = 2, θ₁ = 225° and θ₂ = 135°, then the product of the complex number is:

10 · [cos 360° + i sin 360°]

10 · (1 + i 0)

10

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1.) The missing side of the triangle given above would be = 7.4

To calculate the value of the missing side of the triangle, the sine rule is used.

That is;

a/sinA = b/sinB

Where;

a = 5

A = 29°

b = ?

B = 46°

That is;

5/sin29° = b/sin46°

make b the subject of formula;

b = 5×0.719339800/0.484809620

b = 3.596699/0.484809620

b = 7.4

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Answer:

percentile rank of x =

number of values before x                           100

---------------------------------------------------  x    ----------

number of total values on the dot plot         1

Step-by-step explanation:

you divide the number of values before x over the number of total values on the dot plot, and divide the quotient by 100 to get your percentile.

The properties used by Elizabeth to solve equation are mentioned in option A,D,E and F.

These characteristics make it possible to modify equations while maintaining their consistency, which eventually aids in identifying the variable and the equation's solution.

In given steps to the solution of equation,

\(\frac{3(x-2)}{4} -5= -8\)

\(\frac{3(x-2)}{4}= -3\)        (Addition property of equality)

\({3(x-2)}= -12\)   (Multiplication property of equality)

\(3x-6=-12\)      (Distributive property)

\(3x=-6\)

\(x=-2\)               ( Division property of equality)

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Answer: -6

Step-by-step explanation:

Answer:

5 + (1/x)

Step-by-step explanation:

(3x - 4x + 2) - (7x - 10x - 8x)

3x - 4x + 2 - 7x + 10x + 8x

(3x - 4x - 7x + 10x + 8x) = 10x

10x + 2

  10x + 2     10x        2               1

  ---------- = ------- + ------- = 5 + ------

      2x          2x        2x              x

I hope this helps!

Answer:

48

Step-by-step explanation:

878.24 - 399. 2 = 479.04

479.04 / 9.98 = 48

Answer:

y = -27

Step-by-step explanation:

         \(\sf 6*\dfrac{y+1}{3}-6*\dfrac{3y-1}{6}=6*5\\\\\\\)

             2*(y + 1) - (3y - 1 )    = 30

          2y + 2 - 3y + 1 = 30

                  2y - 3y = 30 - 2 - 1

                        -y      = 27

                             y = -27

Hello !

Answer:

\(\Large \boxed{\sf y=-27}\)

Step-by-step explanation:

We want to find the value of y that satisfies the following equation :

\(\sf \dfrac{y+1}{3} -\dfrac{3y-1}{6} =5\)

First, multiply both sides by 6 :

\(\sf 6(\sf \dfrac{y+1}{3} -\dfrac{3y-1}{6}) =6\times5\)

Now let's expand the left side :

\(\sf 2y+2-(3y-1)=30\)

Combine like terms :

\(\sf -y+3=30\)

Now let's substract 3 from both sides :

\(-\sf y+3-3=30-3\\-y=27\)

Finally, let's multiply both sides by -1 :

\(\boxed{\sf y=-27}\)

Have a nice day ;)

Answer:

Select all of the coefficients in the expression. 12xy^3+ 2x^5y +4x^5y^2 +7x^5y.

If we take an equation like 2xyz = 0 then,

The coefficient of x in 2xyz is term that is multiplied by x. so here the coefficient of x will be 2yz.

So here in the equation 12xy^3 +2x^5y +4x^5y^2 +7x^5y = 0 the coefficients will be:

First we take the common factor form the equation:

So we get form the equation is as ;

= xy * (12y^2 + 2x^4 + 4x^4y + 7x^4) so this basically represents multiplicative distribution law

if we simplify using exponent rule with same base

a^n . a^m = a^n+am

That is 12xy^(2+1) + 2x(4+1)y + 4x(4+1)y(1+1) + 7x(4+1)y

so,

12xy^3 +2x^5y +4x^5y^2 +7x^5y = 0

xy * (12y^2 + 2x^4 + 4x^4y + 7x^4) =0

So the coefficients are : xy and (12y^2 + 2x^4 + 4x^4y + 7x^4)

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Disclaimer: The question was given incomplete on the portal. Here is the complete question.

Question: Select all of the coefficients in the expression. 12xy^3+ 2x^5y +4x^5y^2 +7x^5y.

The coefficient in the expressions 12xy³, 2x⁵y, 4x⁵y²  and 7x⁵y. will be 12, 2, 4 and 7 respectively.

We are given the expressions:

12xy³

2x⁵y

4x⁵y²

7x⁵y.

We need to identify the coefficients for the expression.

For the expression 12xy³, the coefficient will be 12 as it is the numerical value written with the variable.

Similarly, for the expression 2x⁵y , the coefficient will be 2 for the variable x⁵y.

For the expression 4x⁵y², the coefficient will be 4 for the variable x⁵y².

For the expression 7x⁵y, the coefficient will be 7 for the variable x⁵y.

Therefore, we get that, the coefficient in the expressions 12xy³, 2x⁵y, 4x⁵y²  and 7x⁵y. will be 12, 2, 4 and 7 respectively.

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Answer:

I am pretty sure there equivalent

Answer:

range = 7

Step-by-step explanation:

the range is the difference between the maximum and minimum values in the data set.

maximum value = 10 , and minimum value = 3 , then

range = 10 - 3 = 7

The range is:

Solution:

The range is the difference between the largest and smallest number.

The largest number is 10.

The smallest number is 3.

Their difference is 10 - 3 = 7.

\(\bigstar\) Additional information

Answer:

x1= 79, x2= -83

Step-by-step explanation:

seperate into 2 possible cases

x+2=81

x+2= -81

subtract 2 from both sides

x= 79

x= -83

Apples make up one-third of the dozen fruits in a fruit vendor cart. If bananas make up the remaining fruit and oranges make up 1/4 of the total fruit, there are 2.5 dozen bananas in the fruit vendor's cart.

First, let's calculate how many apples are in the cart:

1/3 of 6 dozen fruits = 2 dozen fruits are apples

Next, let's calculate what proportion of the fruits are oranges:

1/4 of all fruits = (1/4) x 6 dozen = 1.5 dozen fruits are oranges

To find the number of dozen bananas, we can subtract the number of dozen apples and oranges from the total number of dozen fruits in the cart:

Total number of dozen fruits = 6 dozen

Number of dozen apples = 2 dozen

Number of dozen oranges = 1.5 dozen

Number of dozen bananas = 6 dozen - 2 dozen - 1.5 dozen

Number of dozen bananas = 2.5 dozen

Therefore, there are 2.5 dozen bananas in the fruit seller's cart.

The complete question is:-

1/3 of the 6 dozen fruits in a fruit seller cart are apple. If 1/4 of all the fruits are oranges and the rest of the fruits are bananas, find how many dozen bananas are there in the fruits sellers cart

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