y = f(x) = 5x
find f(x) when x = 3

Answer:

The distributive property

Answer:

distributive property

answer: the range is 41.

to find the range of this data set, we first need to find the minimum and maximum values - which are 59 and 100.

then we subtract the minimum from the maximum.

59 - 100 = 41.

The approximate distance around the outside of the circular field is the circumference = 172.7 feet and the correct option is B.

To calculate the circumference of a circle, multiply the diameter of the circle with π (pi). The circumference can also be calculated by multiplying 2×radius with pi (π = 3.14).

We shall derive the approximate distance around the outside of the circular field by calculating for the circumference as follows:

Radius of the circular feild = 27.5

circumference of the circular feild = 2 × 27.5 feet × 3.14

circumference of the circular feild = 55 feet × 3.14

circumference of the circular feild = 172.7 feet.

Therefore, the approximate distance around the outside of the circular field is derived as the circumference which is equal to 172.7 feet.

Know more about circle here: https://brainly.com/question/20489969

#SPJ1

Answer:

it's 44. something

it has something to do with the part circle it's a 180%

Answer: 26.93 square inches

Step-by-step explanation:

first let us find the area of the rectangle shape

rectangle area = length times width

rectangle area = 2 times 11

rectangle area = 22 inches

now let us do the half circle area

half circle area = 1/2(πr^2)

half circle area ~ 1/2 times 3.14(1)^2

half circle area ~ 1/2 times 3.14^2

half circle area ~ 1/2 times 9.8596

half circle area ~ 4.9298

now let’s add the half circle area and the rectangle area to get our total area

total area ~ 4.9298 + 22

total area ~ 26.9298

total area ~ 26.93

26.93 square inches is the total area rounded to the nearest hundredth.

Answer:

Step-by-step explanation:

Solve the System of Equations

Solve for the first variable in one of the equations, then substitute the result into the other equation.

Point Form:

(−1,7)

Equation Form:

x=−1,y=7

The value of t₄ in the arithmetic sequence is 103/8.To determine the value of t₄ in an arithmetic sequence, we need to use the given information that t₁ = 11 (the first term of the sequence) and S₉ = 243 (the sum of the first 9 terms of the sequence).

We know that the formula for the sum of an arithmetic sequence is Sₙ = (n/2)(2a + (n-1)d), where Sₙ is the sum, a is the first term, n is the number of terms, and d is the common difference.

From the given information, we have S₉ = 243, a = 11, and n = 9. Plugging these values into the sum formula, we can solve for d:

243 = (9/2)(2(11) + (9-1)d)

243 = 9(22 + 8d)

243 = 198 + 72d

45 = 72d

d = 45/72 = 5/8

Now that we have the common difference, we can find t₄ using the formula for the nth term of an arithmetic sequence:

tₙ = a + (n-1)d

t₄ = 11 + (4-1)(5/8)

t₄ = 11 + 3(5/8)

t₄ = 11 + 15/8

t₄ = 88/8 + 15/8

t₄ = 103/8

For more such questions on arithmetic

https://brainly.com/question/7882626

#SPJ8

Answer:

68

Step-by-step explanation:

2.5×4×2=20

2×4×2=16

4×4×2=32

20+16+32=68

Answer:

nth term = 1 1/2n -1

Step-by-step explanation:

The arithmetic sequence formula is:

a n = a 1 + ( n – 1 ) d

Where: a n

is the nth term in the sequence

a 1

is the first term in the sequence

n

is the term you are solving for

d

is the common difference for any pair of consecutive numbers in the sequence.

First Term or  

n = 1 :

This is given in the problem.

a 1  =  9

Second Term or  

n = 2 :

Substitute  

2  for  n

in the formula and substitute the values from the problem giving:

a 2 = 9 + ( ( 2 – 1 ) × -2 )

a 2 = 9 + ( 1 × -2 )

a 2 = 9 +-2

a 2 = 7

Fifth Term or  n = 5 :

Substitute      in the formula and substitute the values from the problem giving:

a 5 = 9+ ( ( 5– 1 ) × -2 )

a 5 = 9 + ( 4 × -2 )

a 2 = 9 + -8

a 2 = 1  

Using this same process you should be able to determiner the

Third Term or  n = 3

: and Fourth Term or  n = 4 :

Answer:

-1

Step-by-step explanation:

F(x - 1) = 2x + 3.

 Rewrite the right side (2x + 3)

F(x - 1) = 2[ x ] + 3

F(x - 1) = 2[ x - 1 + 1 ] + 3  =  2 [ (x - 1) + 1 ]   + 3

=  2 (x - 1) + 2 + 3

=  2(x - 1) + 5

replace "x - 1" with "-3" :

F(-3)   =     2(-3) + 5  =  -1

Palindromes are numbers whose reverse is the same as the original number

There are twenty-five 5-digit palindromic numbers, that have digits that add up to 14

The digit of the palindromic number is 5.

This means that:

So, the total number of digits is:

\(Digits = 7 + 7 + 9 + 1 +1\)

Evaluate the sum

\(Digits = 25\)

Hence, there are twenty-five 5-digit palindromic numbers, that have digits that add up to 14

Read more about palindromes at:

https://brainly.com/question/26375501

Answer:

75

Step-by-step explanation:

75. How many litres of a 30% alcohol solution should be added to 40 litres of a 60% alcohol solution to prepare a 50% solution? \ The ratio in which 30% alcohol and 60% alcohol should be mixed to get 50% alcohol is 1 : 2

Answer: Let x litres of 30% alcohol solution be added.

Then, 30% of x + 60% of 40 = 50% of (x + 40)

⇒ 30x + 60 × 40 = 50 (x + 40)

⇒ 30x + 2400 = 50x + 2000

⇒ 20x = 400

⇒ x = 20

Please brainliest please

Answer:  3x-180

Step-by-step explanation:

Given: Expression for Revenue = \(5x^2 + 2x - 80\)

Expression for Cost = \(5x^2- x + 100\)

If profit is the difference between the revenue and the cost then the expression for profit will be:

Profit = Revenue - cost

\(=5x^2 + 2x - 80-(5x^2- x + 100)\\\\=5x^2 + 2x - 80-5x^2+x-100\ \ [\text{Multiply ' - ' sign inside the bracket}]\\\\=2x+x-80-100\\\\=3x-180\)

Hence, the expression represents the profit is 3x-180 .

Answer:

its 3x-180 and for the seond one its $2,820

Step-by-step explanation:

got it right on edge

The dairy farmer would mix 1120 pounds of 75% protein supplement and 280 pounds of 50% protein ration to make 1400 pounds of a high grade 70% protein ration.

An equation is an expression that shows the relationship between two or more variables and numbers.

Let x represent the amount of 75% protein supplement and y represent the amount of 50% protein, hence:

x + y = 1400     (1)

Also:

0.75x + 0.5y = 0.7(1400)     (2)

Hence:

x = 1120, y = 280

The dairy farmer would mix 1120 pounds of 75% protein supplement and 280 pounds of 50% protein ration to make 1400 pounds of a high grade 70% protein ration.

Find out more on equation at: https://brainly.com/question/2972832

#SPJ1

Answer:

A. a. 34.5 feet

b. 60 feet

Step-by-step explanation:

Parabola equation

\(y=-0.005x^2+0.3x\)

Differentiating with respect to x we get

\(\dfrac{dy}{dx}=-0.01x+0.3\)

Equating with zero

\(-0.01x+0.3=0\\\Rightarrow -0.01x=-0.3\\\Rightarrow x=\dfrac{0.3}{0.01}\\\Rightarrow x=30\)

Double derivative of the parabolic equation

\(\dfrac{d^2y}{dx^2}=-0.01<0\)

So, \(x=30\) is maximum.

\(y=-0.005\times 30^2+0.3\times 30\\\Rightarrow y=4.5\)

So, the maximum height of the arch will be 4.5 feet.

From the ground the highest point of the arch will be \(30+4.5=34.5\ \text{ft}\)

We are taking the x axis as the width of the bank.

\(0=-0.005x^2+0.3x\\\Rightarrow 0.005x^2=0.3x\\\Rightarrow x=\dfrac{0.3}{0.005}\\\Rightarrow x=60\)

So, the width of the bank will be 60 feet.

The unknown angles in the circle are as follows:

a. m∠AEB = 73°

b. arc angle VW = 155°

a.

If two chords intersect inside a circle, then the measure of the angle formed is one half the sum of the measure of the arcs intercepted by the angle and its vertical angle.

Therefore,

m∠AEB = 1 / 2 (99 + 47)

m∠AEB = 146 / 2

m∠AEB = 73 degrees

b.

If two secants intersect outside a circle , then the measure of an angle formed by the two lines is one half the positive difference of the measures of the intercepted arcs .

Therefore,'

arc angle VW = x

55 = 1 / 2 (x - 45)

55 = 0.5x  - 22.5

0.5x = 55 + 22.5

0.5x = 77.5

divide both sides by 0.5

x = 77.5 / 0.5

x = 155 degrees

Therefore,

arc angle VW = 155 degrees

learn more on arc angles here: https://brainly.com/question/29028021

#SPJ1

Answer:

Step-by-step explanation:kfn

Answer:

Units will be   # attendees  for the x axis

Units will be $   for the y axis

the graph should be y = 100 when x = 0   and then for each x increase of one the value of y will increase 10

Step-by-step explanation:

Using the cosine ratio, the distance between Dimitri and Sarah is calculated as approximately 12.4 m.

The cosine ratio is a trigonometric ratio that represents the ratio of the length of the adjacent side to the length of the hypotenuse in a right triangle. It is calculated by dividing the length of the adjacent side by the length of the hypotenuse.

Using the cosine ratio, we have:

Reference angle (∅) = 72 degrees

Hypotenuse length = 40 m

Adjacent length = distance between Dimitri and Sarah = x

Plug in the values:

cos 72 = x/40

x = cos 72 * 40

x ≈ 12.4 [to one decimal place]

Learn more about Cosine Ratio on:

https://brainly.com/question/15793827

#SPJ1

Answer:

415 miles

Step-by-step explanation:

Start with the speed equation:

speed = distance/time

Now solve the speed equation for distance:

distance = speed × time

Apply the speed equation solved for distance to the two parts of the trip.

4 hours at 55 mph:

distance = 55 mph × 4 hours = 220 miles

3 hours at 65 mph:

distance = 65 mph × 3 hours = 195 miles

Add the two distances to find the total distance:

total distance = 220 miles + 195 miles = 415 miles

Answer: 415 miles

Answer:

415 miles

Step-by-step explanation:

Simon drove 55 miles per hour for 4 hours then 65 miles per hour for 3 hours.

How far did he drive?

d=rt

For the first part of the trip:

d = 55 * 4 = 220 miles

For the second part of the trip:

d = 65*3 =195 miles

Add the miles together

220+195 = 415 miles

The area of the overlapping region is of: 6.25 units squared.

The area of a rectangle of length l and width w is given by the multiplication of the dimensions, as follows:

A = lw.

The dimensions of the right triangle as follows:

Hence the remaining leg on the overlapping region is:

4 - x, as AD = 4.

By symmetry, the other dimension of the overlapping region is also of:

4 - x.

Being also the hypotenuse of the right triangles.

The value of x can be found applying the Pythagorean Theorem as follows:

x² + 2² = (4 - x)²

x² + 4 = 16 - 8x + x²

8x = 12

x = 1.5.

Then the two dimensions of the shaded region are:

4 - 1.5 = 2.5.

Meaning that the area is of:

A = 2.5 x 2.5 = 6.25 units squared.

The figure is missing and is given by the image at the end of the answer.

More can be learned about the area of a rectangle at https://brainly.com/question/10489198

#SPJ1

The Value of x is 2/3.

The value of x, we need to determine the mean of the given values and set it equal to the expression for the mean.

The mean (average) is calculated by adding up all the values and dividing by the number of values. In this case, we have five values: x, x+3, x-5, 2x, and 3x.

Mean = (x + x+3 + x-5 + 2x + 3x) / 5

Next, we simplify the expression:

Mean = (5x - 2 + 3x) / 5

Mean = (8x - 2) / 5

We are given that the mean is also equal to x:

Mean = x

Setting these two expressions equal to each other, we have:

(x) = (8x - 2) / 5

To solve for x, we can cross-multiply:

5x = 8x - 2

Bringing all the x terms to one side of the equation and the constant terms to the other side:

5x - 8x = -2

-3x = -2

Dividing both sides by -3:

x = -2 / -3

Simplifying, we get:

x = 2/3

Therefore, the value of x is 2/3.

For more questions on Value.

https://brainly.com/question/843074

#SPJ8

To construct a frequency histogram based on the given temperature data, we will use the temperature ranges as the x-axis and the number of days as the y-axis.

The temperature ranges and their corresponding frequencies are as follows:

30-39: 2 days

40-49: 26 days

50-59: 28 days

60-69: 8 days

70-79: 2 days

To create the histogram, we will represent each temperature range as a bar and the height of each bar will correspond to the frequency of days.

Using an appropriate scale, we can label the x-axis with the temperature ranges (30-39, 40-49, 50-59, 60-69, 70-79) and the y-axis with the frequency values.

Now, we can draw rectangles (bars) on the graph, with the base of each rectangle corresponding to the temperature range and the height representing the frequency of days. The height of each bar will be determined by the corresponding frequency value.

For such more question on frequency

https://brainly.com/question/254161

#SPJ8

Answer:

True

Step-by-step explanation:

Answer: True

Step-by-step explanation:

Because its a 50/50 and

Answer:

\( \frac{12}{4} =    \$ 3\)

The value of f(-0.01) is approximately 0.99005.

To evaluate f(-0.01), we substitute -0.01 into the function f(x) = (1+x)^(1/x). Thus, we have f(-0.01) = (1+(-0.01))^(1/(-0.01)).

Using a calculator, we simplify this expression to f(-0.01) = 0.99005. Therefore, the value of f(-0.01) rounded to five decimal places is approximately 0.99005.

The function f(x) = (1+x)^(1/x) represents an exponential function with a variable exponent. In this case, we are evaluating the function at x = -0.01.

By substituting this value into the function and performing the necessary calculations, we find that f(-0.01) is approximately 0.99005. This means that when x is equal to -0.01, the function value is approximately 0.99005.

For more such answers on function

https://brainly.com/question/11624077

#SPJ8

Answer:

ayeee yooooo my guy someone is not gonna read the whole book for 5 points.

Step-by-step explanation:

i'm sorry but did you read to question?? you sure you did?

Answer:

14

Step-by-step explanation:

Answer:

16.1 cm (nearest tenth)

Step-by-step explanation:

Pythagoras’ Theorem

\(a^2+b^2=c^2\)

(where a and b are the legs, and c is the hypotenuse, of a right triangle)

Given:

Substitute the given values into the formula and solve for c:

\(\implies 16^2+2^2=c^2\)

\(\implies 256+4=c^2\)

\(\implies c^2=260\)

\(\implies c=\sqrt{260}\)

\(\implies c=2\sqrt{65}\)

\(\implies c=16.1 \sf \: cm\:(nearest\:tenth)\)

16.1 is rounded to the nearest tenth

The domain of (boa)(x) is [1, ∞].

In Mathematics and Geometry, a domain is the set of all real numbers (x-values) for which a particular equation or function is defined.

Based on the information provided above, we have the following functions:

a(x) = 3x+1

\(b(x) = \sqrt{x-4}\)

Therefore, the composite function (boa)(x) is given by;

\(b(x) = \sqrt{3x+1 -4}\\\\b(x) = \sqrt{3x-3}\)

By critically observing the graph shown in the image attached below, we can logically deduce the following domain:

Domain = [1, ∞] or {x|x ≥ 1}.

Read more on domain here: brainly.com/question/9765637

#SPJ1

Answer:

\( x = \frac{1}{2} y + 3\)

Step-by-step explanation:

\(y = 2x - 6 \\ y + 6 = 2x \\ \frac{y + 6}{2} = x \\ \frac{y}{2} + 3 = x \\ \huge \red{ \boxed {x = \frac{1}{2} y + 3}}\)