Find f(a + 7).
f(x) = x² + 5

The triangles are subject to this law. If another number were present, their sum would always be greater than 180 degrees.

It is defined as the branch of mathematics that is concerned with the size, shape, and orientation of two-dimensional figures.

It is given that:

In Euclidean geometry, the interior angles of any triangle add up to 180 degrees.

As we know,

Spherical trigonometry, which departs from conventional trigonometry in many ways, is created when angles between great circles are defined.

For instance, the total of the sides and angles of a hemispheric triangle is more than 180 degrees.

In spherical geometry, triangles are subject to this law. If another number were present, their sum would always be greater than 180 degrees.

Thus, the triangles are subject to this law. If another number were present, their sum would always be greater than 180 degrees.

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The systolic pressure, to the nearest tenth of a millimeter, for a person of age 41 years is; 133.6 mm Hg

We are given the equation that gives a person's blood pressure, p at the age y year is;

p = 0.007y² - 0.003y + 122

To find the systolic pressure for a person of age 41 years, just plug in y = 41 into the given quadratic equation to get;

p(41) = 0.007(41)² - 0.003(41) + 122

p(41) = 11.767 - 0.123 + 122

p(41) = 133.6

Thus, the systolic pressure, to the nearest tenth of a millimeter, for a person of age 41 years is; 133.6

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The nail protrudes 5[tex]\frac{9}{15}[/tex] inches from the other side of the board having a thickness of  2[tex]\frac{2}{5}[/tex] inches

Given that A nail 6 [tex]\frac{1}{3}[/tex] inches long is driven into a board 2 [tex]\frac{2}{5}[/tex] inches thick and asked to find out how much the nail protrudes into the board.

To calculate the nail protrudes, need to subtract the length of the nail and the thickness of the board.

Length of nail protrudes= 6 [tex]\frac{1}{3}[/tex] - 6 [tex]\frac{1}{3}[/tex]

Length of nail protrudes=[tex]\frac{19}{3}[/tex]-[tex]\frac{12}{5}[/tex]

Length of nail protrudes=[tex]\frac{59}{15}[/tex]

Length of nail protrudes= 5[tex]\frac{9}{15}[/tex] .

Therefore,The nail protrudes 5[tex]\frac{9}{15}[/tex] inches from the other side of the board having a thickness of  2[tex]\frac{2}{5}[/tex] inches

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Answer:

4(3j + 4 + j) the amount of money sarah can make is (3 Js plus 4 plus J) times 4

Step-by-step explanation:

Answer:

$25.70 (nearest cent)

Step-by-step explanation:

Given:

[tex]\begin{aligned} \textsf{Net Asset Value}_{\textsf{(Per Share)}} & =\dfrac{\textsf{Fund Assets}-\textsf{Fund Liabilities}}{\textsf{Total number of Outstanding Shares}}\\\\\implies \textsf{Net Asset Value}_{\textsf{(Per Share)}} & = \dfrac{\$39,400,000-\$3,940,000}{\$1,380,000}\\\\& = \dfrac{\$35,460,000}{\$1,380,000}\\\\& = \$25.69565217...\\\\\end{aligned}[/tex]

Therefore, the Net Asset Value (NAV) per share is $25.70 (nearest cent).

The given information is,

→ x = $39,400,000

→ y = $3,940,000

→ z = 1,380,000

Formula we use is,

→ (x - y)/z

Now the net asset value per share is,

→ (x - y)/z

→ (39400000 - 3940000)/1380000

→ 35460000/1380000

→ 25.6956521739

→ ≈ $25.70

Hence, the net asset value is $25.70.

The equation which represents the height of the books is  [tex]s(b)=\frac{5}{4} b[/tex]

A mathematical equation is a formula that uses the equals sign to represent the equality of two expressions. An equation between two sums of monomials of degree 0 or 1 is known as a linear equation.

The books are stacked one above the other and each book is [tex]1\frac{1}{4}[/tex] inches thick.

So to calculate the total height of the stack we have to multiply the number of books in the stack with the thickness of each book.

The total thickness is represented in the from of a function as

s(b) and the thickness of each book is [tex]1\frac{1}{4}=\frac{5}{4}[/tex] inches

total height=[tex]\frac{5}{4}\times b[/tex]

Therefore the required equation is  [tex]s(b)=\frac{5}{4} b[/tex].

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Answer:

[tex]y=-\frac{5}{7}x+5[/tex]

Step-by-step explanation:

The equation of a line can be written in the form of y= mx +c, where m is the slope and c is the y-intercept. This is also known as the slope-intercept form.

Identify the value of the slope, m:

Given that the slope is [tex]-\frac{5}{7}[/tex], m= [tex]-\frac{5}{7}[/tex].

Substituting the value of m into the equation:

[tex]y=-\frac{5}{7} x+c[/tex]

Identify the value of the y-intercept:

Given that the y-intercept is 5, c= 5.

Substitute c= 5:

[tex]\bf{y=-\frac{5}{7}x+5}[/tex]

Thus, the equation of the line is [tex]\bf{y=-\frac{5}{7} x+5}[/tex].

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Answer:

Step-by-step explanation:

Solve for x

7/8 of x is 14

7/8x = 14

x = 14 : 7/8

x = 14 * 8/7

x =16

----------------

check

7/8 * 16 = 14

14 = 14

the answer is good

Marty will have to pay $18,000 for his $15,000 car.

While taking out a loan, the amount taken has to be repaid along with an interest. Thus, the amount paid back by the borrower is always greater than the initial amount that the borrower gets from the lender as a loan.

Here, we are given that Marty has to pay $500 per month for 3 years to repay the loan for his $15,000 car.

Thus, for one month he pays = $500

and also we know that 1 year = 12 months

⇒ 3 years = 12(3) = 36 months

Therefore, for 36 months Marty will have to pay,

500 × 36 = 18,000

Thus, Marty will have to pay $18,000 for his $15,000 car.

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Answer:

c

Step-by-step explanation:

7x²-36x+5= 7x²-x-35x+5

=x(7x-1)-5(7x-1)

=(7x-1)(x-5)

The set notation of the numbers is {x | x < 50 ∪ x > 50}

The set is given as

The set of all real numbers less than 50 or greater than 50

Let the number be represented by x

So, we have

x less than 50 or x greater than 50

When represented as an inequality, we have

x < 50 or x > 50

Using set notation, we have

{x | x < 50 ∪ x > 50}

Hence, the set notation of the numbers is {x | x < 50 ∪ x > 50}

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Using a proportional relationship, the fewest number of vegetables that can be used to make this salad is:

C. 4

A proportional relationship is a function in which the output variable is given by the input variable multiplied by a constant of proportionality, that is:

y = kx

In which k is the constant of proportionality.

For this problem, looming at the table, we have that the number of Broccoli is triple the number of carrots, hence the proportional function is:

B = 3C.

When there is one carrot, the number of broccoli is given by:

B = 3 x 1 = 3.

Hence the fewest number of vegetables is of 4, as 1 carrot + 3 broccoli = 4 vegetables, hence option C is correct.

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Answer:

0.12245454545 (Quotient = 0 Remainder = 2.694)

Step-by-step explanation:

Divide 2.694 by 22. The quotient is 0 with a remainder of 2.694

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The graph of the linear equation can be seen in the image below.

Here we have the linear equation:

x - 2y = -2

To graph it, we need to find two points that belong to the line, and then we can graph these and connect them with a line.

If x = 0, we have:

0 - 2y = -2

y = -2/-2 = 1

if x = 1 then:

1 - 2y = -2

1 + 2 = 2y

3 = 2y

3/2 = y

Then we have the points (0, 1) and (1, 3/2), now just graph these points on a coordinate axis and then connect them with a line, we will get:

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The answer is that 80 people will build the same road in 160 days.

Given that 50 people take 256 days to build a road.

And we need to find out how many days will 80 people take to build the same road.

Disclaimer: Assuming that the work done by all the people are same.

If the number of people increases, the time taken to build the road decreases in the same proportion. Clearly, the number of people varies inversely to the number of days.

Let x denote the number of days required to build the road for 80 people.

Then the ratio, 80/50 = 256/x

⇒ x = (256×50)/80 = 160

Therefore, 80 people will build the same road in 160 days.

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Answer:

100 miles

Step-by-step explanation:

We need to read the graph to determine the answer.

The input is 10 hours

Using the x, go up until you hit the red line and read the y value

The y value is 100 miles

The price of one pound is $0.8.

This problem can be solved by unitary method. To understand this we must know that in this method we need to calculate the value of a unit of product and then multiply that value with the required value for which we have to calculate the value.

Given, that the weight of the apple is 5.2 pounds.

Cost of the apple is = $4.16

Therefore the cost of one pound of apple = [tex]\frac{4.16}{5.2}[/tex]

                                                                 = $0.8

So, to buy a pound of apple one must pay $0.8.

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Answer

4 miles

Step-by-step explanation:

The distance traveled in an hour if a person travels at 2/3 miles in 10 mins is 4 miles.

In order words, the total distance which is travelled in one hour if a person travels a journey of 2/3 miles in 10 mins is 4 miles.

The ratio of the parameters given from the above is given below:

2/3 miles in 10 mins

Convert hour to minutes:

let

Equate ratio of distance to time taken

2/3 : 10 = x : 60

2/3 ÷ 10 = x / 60

2/3 × 1/10 = x/60

2/30 = x/60

2 × 60 = 30 × x

120 = 30x

x = 120 / 30

x = 4 miles

Therefore, the distance traveled or covered in an hour if a person travels at 2/3 miles in 10 mins is 4 miles.

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The number of feet the submarine ascended is the same as the number of feet f below sea level.

A number line is a straight line with a zero point in the middle and positive and negative numbers listed on either side of zero and going on indefinitely.

We have,

The submarine is at feet f below sea level.

We represent the distance below sea level by a negative number.

We represent ascended by a positive number.

So the distance traveled by submarine is:

= Distance below sea level + Distance ascended

= (-f) + distance ascended

We have,

The submarine ascended to 0 feet above sea level.

This means,

The distance traveled by submarine = 0

Distance below sea level + Distance ascended = 0

(-f) + Distance ascended = 0

Distance ascended = f

Thus the number of feet the submarine ascended is same as the number of feet f below sea level.

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Answer:

n is 1/3

Step-by-step explanation:

if u solve the problem normally then it gives 0/0 form so

x(2x^2-1)/3x cross out the numerator and denominator x and x from 3x then keep 0 in place of x.

(2 x 0 ^2-1)/3 = -1/3

since the function is continuous at x = 0 so n = -1/3

Based on their average speed in miles per hour, into the proper containers. Domestic Cat Rabbit Speed, less than 30 mph on average

Domestic Cat Human Rabbit Human Being

An average speed of 30 mph

44 feet per second is the average speed

2.464 ft per second

Inches per second at 616

Greater than 30 mph for the average speed

LP2The average speed is the total distance traveled by the object in a particular time interval. The average speed is a scalar quantity. It is represented by the magnitude and does not have direction.

270 miles.

The plane will go 270 miles in 3/4 of an hour, or 3/4 of 360 miles.

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Answer:

Step 1. The perimeter P means adding up all four sides of a rectangle.

Step 2. Let w be the width

Step 3. Let 3w be the length since the width is one-third the length

Step 4. Then P=w+w+3w+3w=8w=20 since the perimeter P is 20 cm.

Step 5. Solving the equation in Step 4 leads to the following steps

Divide by 8 to both sides of the equation

8w%2F8=20%2F8

w=5%2F2 and 3w=15/2 and P=2(5/2+15/2)=20 which is a true statement.

Step 6. ANSWER: The width is 5/2 cm.

Step-by-step explanation:

I hope the above steps and explanation were helpful.

Answer:

7/10, 12/40, 2/20, -10

Answer:

Linear?

Step-by-step explanation:

its been years since I've seen this so I'm not sure

Answer:

1/6 is greater than 0.16

Step-by-step explanation:

0.16 as a fraction is 4/25

4/25 < 1/6