what is Negative 5 and StartFraction 5 over 8 EndFraction + 3 and one-half

Negative 3 and StartFraction 1 over 8 EndFraction

Negative 2 and one-half

Negative 2 and StartFraction 1 over 8 EndFraction

Negative StartFraction 7 over 8 EndFraction

Answer:

y=-4

Step-by-step explanation:

-7y=28

DIVIDE BY -7

28/-7=-4

Answer=-4

Answer:

b1 = 22 ft

the length of the base next to the goal is 22 ft

Step-by-step explanation:

From the given formula;

Area A = 1/2×(b1 + b2)h ........1

Given;

Area A = 275ft^2

base b2 = 28 ft

base b1 = ?

height h = 11 ft

From equation 1;

Making b1 rhe subject of formula;

A = 1/2×(b1 + b2)h

Multiply through by 2;

2A = (b1+b2)h

b1+b2 = 2A/h

b1 = 2A/h - b2 ...... 2

Substituting the given values into equation 2;

b1 = 2(275)/11 - 28

b1 = 50 - 28

b1 = 22 ft

the length of the base next to the goal is 22 ft

We can draw the flight as:

We can use the trigonometric ratio that relates the sine of an angle with the opposite side and the hypotenuse:

Answer: the distance can be expressed as 40 / sin(26 deg)

Answer:

Step-by-step explanation:

Answer:

4 and 4

Step-by-step explanation:

Answer:

4+4 = 8

or

2+6=8

Step-by-step explanation:

4 blocks + 4 blocks = 8 blocks

or

2 blocks + 6 blocks = 8 blocks

hope this helps! :)

Answer:

50 times

Step-by-step explanation:

Assuming a fair coin (probability of heads = 1/2), the expected number of heads (in the sense of mathematical expectations) is 100*1/2 = 50.

The missing side of the right angle triangle using pythagoras theorem is; A: 8

Pythagoras Theorem is defined as the way in which you can find the missing length of a right angled triangle.

The triangle has three sides, the hypotenuse (which is always the longest), Opposite (which doesn't touch the hypotenuse) and the adjacent (which is between the opposite and the hypotenuse).

Pythagoras is in the form of;

a² + b² = c²

From the diagram, if the missing side is x, then we can say that;

x = √(17² - (7.5 * 2)²)

x = √(289 - 225)

x = √64

x = 8

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Answer:

10%

Step-by-step explanation:

I think it's right lol but I could be wrong I forgot a lot of this stuff

but out of all the data it goes from 22-42 so 20 points in total

there is only 2 of the data points behind 24, so it is 2/20 or 10%

Step-by-step explanation:

When simplifying, do all expressions inside parentheses first, then all exponents, then all multiplication and division operations from left to right, and finally all addition and subtraction operations from left to right.

Answer:

B. If a polygon is a quadrilateral ,then it is a square.

Step-by-step explanation:

• in this conditional statement:

hypothesis : the polygon is a square.

Conclusion: the polygon is a quadrilateral.

•• A conditional statement has this form :

If (hypothesis) then (conclusion).

••• To get the converse of the conditional statement, we interchange the hypothesis and the conclusion like this :

If (conclusion) then (hypothesis).

……………………………………………………

Therefore, the converse is :

If the polygon is a quadrilateral ,then the polygon is a square.

Answer:

1501.6

Step-by-step explanation:

_____z_______________

Answer:

447.593+1054.0082x

Step-by-step explanation:

Hope this helps.

Answer:

c. 4p+18

Step-by-step explanation:

-7d + 2d + 3d + 2d = 0

6p-3p+p = 4p

7-11+14+8 = 18

4p+18

The correct option is option (B) .

In a Multiple regression Model , the value of adjusted r-Squared is positive.

Adjusted r-Squared :

Adjusted r-squared is a modified version of r-squared adjusted for the number of predictors in the model. The fitted r-squared increases only if the new term improves the model beyond what would be expected by chance. This is reduced if the predictor happens to not improve the model more than expected.

The formula for r-squared,

Adjusted r-squared= 1 - [ ( 1 -r²)(n-1)/(n-k-1)]

where

N --> number of points in the data sample.

K --> number of independent regressors, i. number of variables in the model excluding or constant.

r²--> Indicates how well a term (data point) fits a curve or line.

r-squared values range from 0 to 1 and are commonly stated as percentages from 0% to 100%.

100% r-squared means that all movements in the security are completely explained by movements in the index.

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So the right answer is 1.8

Look at the attached picture

Hope it will help you

Good luck on your assignment

In this triangle, the product of tan A and tan C is `(BC)^2/(AB)^2`.

The given triangle ABC has angle A measuring 45 degrees, angle B measuring 90 degrees, and angle C measuring 45 degrees , Answer: `(BC)^2/(AB)^2`.

We have to find the product of tan A and tan C.

In triangle ABC, tan A and tan C are equal as the opposite and adjacent sides of angles A and C are the same.

So, we have, tan A = tan C

Therefore, the product of tan A and tan C will be equal to (tan A)^2 or (tan C)^2.

Using the formula of tan: tan A = opposite/adjacent=BC/A Band, tan C = opposite/adjacent=AB/BC.

Thus, tan A = BC/AB tan C = AB/BC Taking the ratio of these two equations, we have: tan A/tan C = BC/AB ÷ AB/BC Tan A * tan C = BC^2/AB^2So, the product of tan A and tan C is equal to `(BC)^2/(AB)^2`.

Answer: `(BC)^2/(AB)^2`.

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Answer:

the answer is 95

Step-by-step explanation:

hope this helped :)

Answer:

95°

Step-by-step explanation:

180° - 85° = 95°

It's what I got

Theres is a rectangular triangle inscribed innthe circunference

its the triangle STW

then

1. A cord is a line between two pointsnin circumference ,

Its. TW

2.A secant is a LINE that cuts a circle in two points, in this case its represented by line QU

3. A tangent is a line that cuts a circle in ONE point only. In this case is formed by line PV

The required area of the shaded region is 141.3  sq. in.

A circle's area is the area that it takes up in a two-dimensional plane. It can be simply calculated using the formula A = r2, (Pi r-squared), where r is the circle's radius. The square unit, such as m^2, cm^2, etc., is the unit of area. Area of a circle is equal to r2 or d2/4, where = 22/7 or 3.14.

inner radius = 6 in, outer radius= 9 in

are of small circle = πr^2

Area = π(6)^2 = 36π sq. in

Similarly

Area of big circle = πr^2

Area = π(9)^2 = 81π sq. in

So,

Area of shaded region =  81π - 36π

Area of shaded region = 45π

Area of shaded region = 141.3  sq. in

Thus, required area is 141.3  sq. in.

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The infimum of s4 is -12 and the supremum of s4 is 12.

The set s4 is defined as the set of all values obtained by subtracting (-1)^11 from 1, i.e., s4 = {1 - (-1)^11 | n ∈ N}.

Since (-1)^11 = -1, we have s4 = {1 + 1, 1 - (-1), 1 + 1, 1 - (-1), ...} = {2, 0, 2, 0, ...}.

Therefore, the infimum of s4 is the smallest value in the set, which is -2, and the supremum of s4 is the largest value in the set, which is 2. However, since -2 is not actually in the set, the infimum of s4 is actually the smallest limit point of the set, which is -2 - 2 = -4. Similarly, the supremum of s4 is the largest limit point of the set, which is 2 + 2 = 4.

Therefore, the infimum is -4 and the supremum is 4.

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The height at time t (in seconds) of a mass, oscillating at the end of a spring, is s(t) = 300 + 16 sin t cm. We have to find the velocity and acceleration at t = π/3 s.

Let's first find the velocity of the mass. The velocity of the mass is given by the derivative of the position of the mass with respect to time.t = π/3 s
s(t) = 300 + 16 sin t cm
Differentiating both sides of the above equation with respect to time
v(t) = s'(t) = 16 cos t cm/s

Now, let's substitute t = π/3 in the above equation,
v(π/3) = 16 cos (π/3) cm/s
v(π/3) = -8√3 cm/s

Now, let's find the acceleration of the mass. The acceleration of the mass is given by the derivative of the velocity of the mass with respect to time.t = π/3 s
v(t) = 16 cos t cm/s
Differentiating both sides of the above equation with respect to time
a(t) = v'(t) = -16 sin t cm/s²
Now, let's substitute t = π/3 in the above equation,
a(π/3) = -16 sin (π/3) cm/s²
a(π/3) = -8 cm/s²
Given, s(t) = 300 + 16 sin t cm, the height of the mass oscillating at the end of a spring. We need to find the velocity and acceleration of the mass at t = π/3 s.
Using the above concept, we can find the velocity and acceleration of the mass. Therefore, the velocity of the mass at t = π/3 s is v(π/3) = -8√3 cm/s, and the acceleration of the mass at t = π/3 s is a(π/3) = -8 cm/s².
At time t = π/3 s, the velocity of the mass is -8√3 cm/s, and the acceleration of the mass is -8 cm/s².

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The probability of an event can not be more than the number 1.

Probability of an event is the ratio of number of favorable outcome to the total number of outcome of that event.

As the probability of an event can not be more than the number 1.

Thus the probability of failure of a event is equal to the difference of the 1 to the success of the event. As,

\(\rm Probability \; of \;failure = 1-Probability\; of \;success\)

Given information-

Rina spins the spinner less than the 30 times.

A success occurs when the spinner lands on a number that is greater than 6.

A spinner is divided into 8 equals sections and the sections are labeled 1 through 8.

As the probability of success occurs when the spinner lands on a number that is greater than 6, thus the number should grater than six.

This number should be less than 30 as the spinner spins less than the 30 times.

Thus the total number of outcome of this event is,

\(=30-6\\=24\)

Thus the probability of success is,

\(P=\dfrac{6}{24} \\P=\dfrac{1}{4}\)

Hence the probability of success is 1/4.

As the probability of failure of a event is equal to the difference of the 1 to the success of the event.

Thus the probability of failure is,

\(P^-=1-P\\P^-=1-\dfrac{1}{4} \\P^-=\dfrac{4-1}{4} \\P^-=\dfrac{3}{4} \\\)

The probability of failure is 3/4.

Hence,

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Answer:

Option B)

Step-by-step explanation:

Correct on edge22

Each issue will cost £3.5 if a yearly subscription to a monthly magazine costs £42.00.

Given, a yearly subscription to a monthly magazine costs £42.00 i.e., 12 months to a monthly magazine costs £42.00.

one month will cost £42.00 divide by 12 and let it be x.

we simply calculate the value of x by dividing £42.00 by 12.

x = 42.00/12

x = 3.5

x = £3.5

Therefore, each issue will cost £3.5 if a yearly subscription to a monthly magazine costs £42.00.

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Explanation:

The slope-intercept form of a line is:

y=mx+b

where:

m is the slope of the line

b is the y-intercept

We are given that m=4 and the line passes through (7,2).

∴2=4⋅7+b

2=28+b

b=−26

Therefore the equation of the line is:

y=4x−26

graph{y=4x-26 [-1.254, 11.23, -2.92, 3.323]}

Answer:

\(1\frac{7}{10}\) kg of sugar

Step-by-step explanation:

Amount of sugar on Wednesday: \(3\frac{2}{3}\) kg

Convert the mixed number fraction to an improper fraction (multiply the whole number by the numerator)

\(3\frac{2}{3}\) ⇒ \(\frac{6}{3}\) ⇒ \(2\)

Therefore, Emila bought 2 kg of sugar on Wednesday.

Because Emila bought \(\frac{3}{10}\) kg less sugar on Thursday, subtract \(\frac{3}{10}\) from \(2\).

\(2-\frac{3}{10}\)

Convert 2 into a fraction with 10 as the denominator

\(=\frac{20}{10} -\frac{3}{10}\\=\frac{17}{10}\)

Convert the fraction into a mixed number

\(= 1\frac{7}{10}\)

Therefore, Emila bought \(1\frac{7}{10}\) kg of sugar on Thursday.

I hope this helps!

Answer:

triangle C

Step-by-step explanation:

the sides can be multiplied by 2 and be the same as the original triangle

An unnormalized relation refers to a table in a relational database that contains more than one row. This means that there are duplicate rows in the table, which violates the rules of normalization.

Normalization is a process in database design that aims to eliminate data redundancy and ensure data integrity. It involves breaking down a database into multiple tables and defining relationships between them. By doing so, we can efficiently store and retrieve data while minimizing inconsistencies.

In an unnormalized relation, duplicate rows can lead to various problems. For example, it can result in data inconsistencies, as updating one instance of a row may not reflect changes in other duplicate rows. Additionally, it can cause unnecessary storage and maintenance overhead.

To normalize an unnormalized relation, we need to identify the functional dependencies in the table and create separate tables for related data. This helps organize the data and reduces redundancy.

In summary, an unnormalized relation is a table in a relational database that has duplicate rows. It is important to normalize such relations to ensure data integrity and efficiency.

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Answer:

31.18 feet height of the tree

Step-by-step explanation:

draw a sample diagram,use the formula tangent equals opposite over adjacent and multiply

Answer:

The balance of  the odds must be for spins of different colours. Therefore, 81/81 - 29/81, the odds of getting two different colours.

The final result of the integral evaluation using the trigonometric substitution \(x = 8\tan\theta.\)

To evaluate the integral \(\int\ {\frac{(x+42)}{\sqrt{(x^2+64)}} \,\ dx\), we can use the trigonometric substitution \(x = 8\tan\theta.\)

Substituting x with 8tanθ, we get:

\(dx = 8\sec^2\theta\ d\theta\), and

\(\sqrt {(x^2+64)} = \sqrt {(64\tan^2\theta+64)} = 8\sec\theta\)

Substituting these into the original integral, we get:

\(\int {(x+42)/\sqrt {(x^2+64)}} dx = \int {(8\tan\theta+42)/(8\sec\theta)(8\sec^2\theta)\ d\theta\)

\(= 1/8 \int {(tan\theta+42\cos\theta)}\ d\theta\)

Now we can evaluate this integral by integrating each term separately.

\(\int tan\theta\ d\theta = -ln|cos\theta| + C\), and

\(\int {42cos\theta}\ d\theta = 42\sin\theta + C\)

Therefore, the complete solution is:

\(\int(x+42)/\sqrt{ (x^2+64)}\ dx = 1/8 \int (tan\theta+42\cos\theta)\ d\theta\)

\(= 1/8 (-ln|cos\theta| + 42\sin\theta) + C\)

Substituting back \(x = 8\tan\theta.\), we get:

\(\int (x+42)/\sqrt{(x^2+64)} dx = 1/8 (-ln|cos(arctan(x/8))| + 42\sin(arctan(x/8))) + C\)

Simplifying this expression further might be possible, but this is the final result of the integral evaluation using the trigonometric substitution x = \(x = 8\tan\theta.\)

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Rayshawn is faced with a decision between three job offers that are all full-time, each requiring 40 hours a week for 52 weeks per year. Rayshawn should consider several factors, including the salary, benefits, job responsibilities, growth opportunities, company culture, and location.

The salary is likely to be one of the most critical factors in Rayshawn's decision-making process. However, he should also consider the value of the benefits package, such as healthcare, retirement plans, and paid time off. Additionally, he should assess the job responsibilities to ensure that they align with his interests and skills. Rayshawn should also evaluate the company culture to determine if it is a good fit for him, and if there are opportunities for growth and advancement. Lastly, location is a crucial factor, and he should consider the proximity to family and friends, transportation, and cost of living.

Ultimately, Rayshawn should weigh all of these factors to make an informed decision about which job offer to accept. He should carefully consider the pros and cons of each offer and determine which one aligns best with his personal and professional goals. By taking the time to evaluate each option thoroughly, Rayshawn can make a decision that will set him up for success and satisfaction in his career.

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