what is 7 divided by 8 if the answer was a fraction

Equation:

The Quadratic formula states that:

which in our case, x = h; and the variables a, b and c corresponds to the coefficients of an equation in the form:

Then, we have to rewrite our given equation in that form by subtracting 155 from both sides of the equation:

Now, based on this we can determine our variables:

• a = 1

• b = 5

• c = -155

Replacing these numbers in the Quadratic formula:

Simplifying:

As the square root of 645 is not an exact root, to have an exact result we will leave this number like that until the result. Also, as we have a minus and plus sign before the root, this is the time where we divide the result into two variables (as there are two results):

As the second result is negative, and we cannot have negative heights, then the height that will satisfy the desired area is 10.20 yards.

Answer: 10.20 yards

Answer:

An acute angle

Step-by-step explanation:

An acute angle is smaller than an obtuse ad right angle.

hope this helps and hope it was right 'cause I really don't know what you meant. :)

The height of the rectangular prism is 2x^3

The volume of a rectangular prism is given by the product of its length, width, and height.

We know that the volume is 48x^8, so we can write an equation:

48x^8 = (4x^2)(6x^3)(h)

We can simplify the left side:

48x^8 = 24x^5 * h

And divide both sides by 24x^5 to find the height:

h = 48x^8 / 24x^5 = 2x^3

So the height of the rectangular prism is 2x^3

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The company's advanced degree holders make up 18% of the workforce.

A percentage, which is denoted by the number 100, is a proportion, fraction, or piece of a whole. The Roman phrase per centum, which meaning "by the 100" or "per one hundred," is where the term "percent" originates. A numerical value and the percentage symbol (%) can be used to express percentages.

Part A:

The following expression sums up the amount of company employees with advanced degrees:

0.40c(0.15) + 0.60c(0.20)

Explanation: First, we multiply the overall amount of workers (c) by the proportions of male and female employees, which are, respectively, 40% and 60%. The number of male workers (0.40c) is then multiplied by the percentage of men who have advanced degrees (15%), and the number for female employees (0.60c) is multiplied by the percentage of women who have advanced degrees (20%). In order to calculate the overall number of workers with advanced degrees, we must add these two numbers.

If we condense this phrase, we get:

0.06c + 0.12c = 0.18c

Part B:

The number of staff members with advanced degrees must be divided by the total amount of employees, and the result must be multiplied by 100% to determine the percentage of the business that holds advanced degrees:

(0.18c/c) × 100% = 18%

Therefore, 18% of the company has advanced degrees.

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Answer:

Jean

Step-by-step explanation:

Vincent can bake 10 cakes or make 5 pizzas in an hour. Jean can bake 12 cakes or make 8 pizzas in an hour. Please answer the four questions. 1 . Which cook has the absolute advantage in baking cakes

Absolute advantage exists when a producer can make greater quantity of products at the same cost as its rivals or makes the same quantity of product at a lower cost than its rivals. In the scenario described above, Jean as the absolute advantage as he can make more

Answer:

\( \frac{17}{8} + \frac{5}{3} = \frac{51 + 40}{24} = \frac{91}{24} \)

hope it can help u~~

six more than y

x subtracted from 9

thrice m is equal to 30

p divided by 6

Answer:Im pretty sure the slope is 2.

Step-by-step explanation:

=====================================================

Explanation:

Since QS is bisecting angle PQR, we have two identical triangles (aka congruent triangles)

The sides PS and RS are congruent corresponding pieces

PS = RS

6b-4 = 10b-60

6b-10b = -60+4

-4b = -56

b = -56/(-4)

b = 14

Therefore,

Answer:

3

Step-by-step explanation:

plug it in

10 grams of Iron should be added to Nickel to make the alloy.

20% of the alloy is made of Iron and 80% is Nickel.

The weight of Nickel given so you can use this to find the total weight of the alloy assuming that total weight is x.

40 grams = 80% × alloy x

Alloy x = 40 / 80%

= 50 grams

Iron should be 20% of the full weight of the alloy:

= 20% x weight of Alloy x

= 20% x 50

= 10 grams

In conclusion, 10 grams of Iron should be added to create the alloy.

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Therefore, the reference angle of 7π/4 is 3π/4, and tan 0 = 1.

Trigonometry is a branch of mathematics that deals with the relationships between the sides and angles of triangles, especially right triangles. It involves the study of trigonometric functions such as sine, cosine, tangent, and their inverses, as well as their applications in various fields such as physics, engineering, and navigation. Trigonometry is an important tool for solving problems involving angles, distances, and heights, among others.

Here,

The reference angle for an angle θ is the positive acute angle formed by the terminal side of θ and the x-axis.

To find the reference angle for 7π/4, we can subtract π from it since the angle is in the fourth quadrant.

Reference angle = 7π/4 - π

= 3π/4

To find tan 0, we need to use the tangent function:

tan θ = opposite/adjacent

Since we don't know the sides of the triangle, we need to use the reference angle to find the ratio.

The reference angle of 3π/4 is in the second quadrant, where x is negative and y is positive. We can draw a triangle with sides of length 1, 1, and √2, where the hypotenuse is the line with angle 3π/4.

Then, tan(3π/4) = opposite/adjacent

= 1/-1

= -1

So, tan 0 = tan (7π/4)

= tan (3π/4 + π)

= -tan(3π/4)

= -(-1)

= 1.

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The correct statement is: g(x) is translated up 5 units compared to f(x).

The correct answer is A.

The correct answer is A.

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Answer: B

Step-by-step explanation: The table represents a linear function because the graph shows a constant rate of change.

Answer:

\(y1 = 4 \\ x1 = 3\)

\(y - y1 = m(x - x1)\)

\(y - 4 = 0(x - 3)\)

\(y - 4 = 0\)

\(y = 4\)

Answer:

Option 3

(3xy³ + 5x²y⁴)  (3xy³ - 5x²y⁴)

Step-by-step explanation:

Factorize polynomials:

Use exponent law:

                   \(\boxed{\bf a^{m*n}=(a^m)^n} \ & \\\\\boxed{\bf a^m * b^m = (a*b)^m}\)

9x²y⁶ = 3²* x² * y³*² = 3² * x² * (y³)² = (3xy³)²

25x⁴y⁸ = 5² * x²*² * y⁴*² = 5² * (x²)² * (y⁴)² = (5x²y⁴)²

Now use the identity:  a² - b² = (a +b) (a -b)

Here, a = 3xy³ & b = 5x²y⁴

9x²y⁶ - 25x⁴y⁸ = 3²x²(y³)² - 5²(x²)² (y⁴)²

                       = (3xy³)² - (5x²y⁴)²

                      = (3xy³ + 5x²y⁴)  (3xy³ - 5x²y⁴)

Answer:

To locate the number 8 and its opposite on the number line, we can use the given number line:

-8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7

Number 8 is located to the right of zero. Its opposite can be found by moving an equal distance to the left of zero. Since the number line is symmetric about zero, the opposite of 8 would be -8.

-8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7

↑ ↑

So, the opposite of 8 is -8. They are related to zero as equal distances on opposite sides of zero on the number line.

Now, let's address exercises 2-3:

a. To locate the opposite of 9, we need to move an equal distance to the left of zero. The opposite of 9 is -9.

-8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7

↑

b. To locate the opposite of -2, we need to move an equal distance to the right of zero. The opposite of -2 is 2.

-8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7

↑

c. To locate the opposite of 4, we need to move an equal distance to the left of zero. The opposite of 4 is -4.

-8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7

↑

So, the opposites of the given numbers are:

9 → -9

-2 → 2

4 → -4

They are related to zero as equal distances on opposite sides of zero on the number line.

Step-by-step explanation:

Answer:

Step-by-step explanation:

\( \tt \: 6(7x-2)=12 \\ \\ \\ \implies \tt \: 42x - 12 = 12 \\ \\ \\ \tt \: \implies 42x = 12 + 12 \\ \\ \\ \tt \: \implies 42x = 24 \: \: \\ \\ \\ \implies \tt \: x= \frac{24}{42} \\ \\ \\ \implies \tt \: x= \frac{4}{7} \\ \\ \)

Answer:

hens=30

rabbits=20

Step-by-step explanation:

Using the height and radius given, the surface area of the cylinder is 408.2m²

The surface area of a cylinder is the combined area of its curved surface (lateral surface) and its two circular bases. The formula for the surface area of a cylinder is:

A = 2πrh + 2πr²

where:

In the given question, the data are;

Substituting the value into the formula

A = 2π(5 * 8) + 2π(5)²

A = 408.2m²

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Using implicit differentiation, it is found that:

\(\frac{dy}{dx} = \frac{5y^2\sin{5x}+6y\ln{y}}{y\cos{5x}+2y^2+6x}\)

The function is:

\(y\cos{5x} + y^2 = 6x\ln{y}\)

In implicit differentiation:

Applying implicit differentiation:

\(\cos{5x}\frac{dy}{dx} - 5y\sin{5x}\frac{dx}{dx} + 2y\frac{dy}{dx} = 6\ln{y}\frac{dx}{dx} + \frac{6x}{y}\frac{dy}{dx}\)

\(\cos{5x}\frac{dy}{dx} + 2y\frac{dy}{dx} + \frac{6x}{y}\frac{dy}{dx} = 5y\sin{5x} + 6\ln{y}\)

\(\frac{dy}{dx}(\cos{5x} + 2y + \frac{6x}{y}) = 5y\sin{5x} + 6\ln{y}\)

\(\frac{dy}{dx}\left(\frac{y\cos{5x}+2y^2+6x}{y}\right) = 5y\sin{5x} + 6\ln{y}\)

\(\frac{dy}{dx} = \frac{5y^2\sin{5x}+6y\ln{y}}{y\cos{5x}+2y^2+6x}\)

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Answer:

Your $19,513 loan has 60 monthly payments of $366.00 at 4.75%.

If you make all of your payments on this loan, and do not prepay any of the principal, the total interest for this loan is $2,447.26.

Step-by-step explanation:Loan Summary

Total payments $21,960.26

Total interest paid $2,447.26

Loan amount $19,513

Monthly payment $366.00

Interest rate 4.75%

Term 60 monthly payments

Answer:

-2,1,6,13,22

Step-by-step explanation:

cn = n^2 -3

Let n=1

c1 = 1^2 -3 = 1-3 = -2

Let n=2

c2 = 2^2 -3 = 4-3 = 1

Let n=3

c3 = 3^2 -3 = 9-3 = 6

Let n=4

c4 = 4^2 -3 = 16-3 = 13

Let n=5

c5 = 5^2 -3 = 25-3 = 22

Answer:

a) the mean percentage of defective item produced is 2.52 %

b) the standard deviation of percentage of defective item produced is 1.01%

Step-by-step explanation:

Given that;

the percentage of defective items produced was 2%, 1.4%, 4%, 3%, 2.2%.

sample size n = 5

a) Calculate the mean for these data

mean percentage of defective item produced will be;

\(x^{bar}\) = ∑x / n

\(x^{bar}\) = ∑x / n = ( 2% + 1.4% + 4% + 3% + 2.2% ) / 5

\(x^{bar}\)  = 12.6 / 5

\(x^{bar}\)  = 2.52 %

Therefore, the mean percentage of defective item produced is 2.52 %

b) Calculate the standard deviation for these data

Formula for standard deviation is;

S = √( (∑(x-\(x^{bar}\) )²) / (n-1) )

so we make a table;

x                   ( x - \(x^{bar}\) )%                ( x - \(x^{bar}\) )²%

2%                 -0.52                         0.2704

1.4%               -1.12                           1.2544

4%                  1.48                          2.1904  

3%                  0.48                         0.2304

2.2%.             -0.32                         0.1024

summation                                     4.048

so (∑(x-\(x^{bar}\) )² = 4.048%  

so we substitute the value into our equation;

S = √( (∑(x-\(x^{bar}\) )²) / (n-1) )

S = √( (4.048%) / (5-1) )

S = √( 4.048% / 4 )

S = √( 1.0121

S =  1.00598 % ≈ 1.01%

Therefore, the standard deviation of percentage of defective item produced is 1.01%

Answer:

126.5 cm^2

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

253\(cm^{2}\)

Step-by-step explanation:

11 times 23 =253\(cm^{2}\)

Answer:

-7/2

Step-by-step explanation:

To find the y coordinate of the midpoint and the y coordinates together and divide by 2

(2+-9)/2

-7/2

Answer:

2 goes in green box

Step-by-step explanation:

(9,2) (-7,-9)

(x1, y1) (x2,y2)

Midpoint is (x1+x2)/2 , (y1+y2)/2

(9-7)/2= 1

(2-9)/2 = -7/2