Answers
Answer:
38°
Step-by-step explanation:
We have supplementary angles, which mean they add up to 180°, so we can simply solve for x° by doing 180°-142°=38°
Answer:
X=38 degrees
Step-by-step explanation:
A straight line is 180 degrees so to find the missing part you can do 180-142.
That way you get the missing angle measurement.
Related Questions
What is the solution of 3 root?
Answers
Answer: 1.442
Step-by-step explanation:
Type the correct answer in the box.
The number of guests per month at a large resort is given in the table below, where f(x) is the number of guests, in hundreds, x months since the beginning of the year.
Use the data in the table to create the standard form of the function that models this situation, where a, b, and c are constants.
x 0 2 4 6 8 10
f(x) 10 15 18 19 18 15
f(x)=ax^2+bx+c
Answers
Answer:
It appears that you are trying to find a quadratic function in standard form that models the number of guests at the large resort as a function of the number of months since the beginning of the year.
To do this, you can use the given data points to solve for the constants a, b, and c in the standard form of the quadratic function f(x) = ax^2 + bx + c.
To find the values of a, b, and c, you will need to have at least three data points. You can then use these data points to solve a system of three equations with three variables.
For example, using the data points (0, 10), (2, 15), and (4, 18), you can set up the following system of equations:
f(0) = 10 = a(0)^2 + b(0) + c
f(2) = 15 = a(2)^2 + b(2) + c
f(4) = 18 = a(4)^2 + b(4) + c
Solving this system of equations will give you the values of a, b, and c that you can use to write the standard form of the quadratic function that models the data.
I hope this helps! Let me know if you have any questions or need further assistance.
Step-by-step explanation:
3+ T/2 = 35  (Solve for T)
Answers
Therefore , the solution to the given problem of linear equation comes out to be T= 64.
Define a linear equation.Any function that fulfills the algebraic equation y=mx+b is said to be linear. B is the slope, and m is the y-intercept. Since both x and y are factors, the previous sentence is commonly referred to as an equation system with two variables." Two-variable linear equations are referred to as bivariate equations. There are several applications for linear equations: x + z = 2, and 3z - y + z = 3 both have a zero solution. If an equation has the form y=mx+b, where m stands for the slope and b for the y-intercept, it is referred to as linear. The equation is written as Y=mx+b, where m denotes the slope and b the y-intercept.
Here,
Given : 3+ T/2 = 35
thus,
=> 3+ T/2 = 35
=> T/2 = 35-3
=> T/2 = 32 *2
=> T= 64
Therefore , the solution to the given problem of linear equation comes out to be T= 64.
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What is the answer to inequality?
Answers
The direction of inequality is reversed when you multiply or divide both sides by a negative value.
When expressions are compared using the operators "less than" (), "less than or equal to" (=), "greater than" (>), or "greater than or equal to" (>=), an inequality is created.
Example- x + 3 <= 10
A solution for an inequality in x is a number such that when we substitute that number for x we have a true statement. So, 4 is a solution for example 1, while 8 is not.
The solution set of an inequality is the set of all solutions.
The solution set of example 1 is the set of all x <= 7. In interval notation, this set is (-inf, 7], where we use inf to stand for infinity.
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What is the factor of x^3 2x^2 5x 6?
Answers
(x - 1) is thus a factor of f(x) = x3 - 2x2 - 5x + 6.
The factorization of x^3 2x^2 5x 6 is (x^2)(2x)(3) . This can be found by dividing x^3 2x^2 5x 6 by its prime factors.
You can also factor out x^2 from the expression x^3 2x^2 5x 6, which would leave you with x^2(x 2.5 6) or x^2(x 2.5 3)
Given that x3 - 2x2 - 5x + 6 = f(x),
We must determine the factored form of f in its entirety (x).
Consider (x - 1) as a factor (x).
Let's see if (x - 1) is a factor of f. (x).
f(1) = (1) (1)
3 - 2(1) (1)
2 - 5(1) + 6
= 1 - 2 - 5 + 6
= 6 - 6
= 0
f(1) = 0
(x - 1) is thus a factor of f(x) = x3 - 2x2 - 5x + 6.
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A pronto lube garage charges £25 to lube any vehicle. Other work adds about €6000 per month to the
revenue. It costs pronto lube £6 in materials to service cars. Monthly operating expenses are €23,500.
2.1). Write an expression for net profit for C cars.
2.2). If the number of cars serviced in a particular month is 3000, find the profit
2.3). If the number of car serviced in a particular month is 900, then the garage got a
profit. True / false.
Answers
Therefore , the solution of the given problem of equation comes out to be 1.39500 profit and 2.-400 loss.
What is the equation?A formula for connecting two statements using the equal sign (=) to denote equivalence is known as a mathematical equation. A mathematical equation in algebra is a statement that proves the equality of two mathematical expressions. For instance, the formula 3x + 5 = 14 places an equal sign between the variables 3x + 5 and 14. The mathematical relationship between the two sentences on either side of a letter is established. Most of the time, the symbol serves as both the one and only variable. for instance, 2x – 4 = 2.
Here,
For C no of cars
=> Profit = total earning in a month - Expense in a month
=> (25-6)C - (23500-6000)
=> P = 19C-17500
If 3000 cars serviced then,
=> Profit = 19(3000)-17500
=> Profit = 39500
If no of cars received in particular month is 900 then profit or loss
=>Profit = 19(900)-17500
=> Profit = -400
That is loss.
Therefore , the solution of the given problem of equation comes out to be 1.39500 profit and 2.-400 loss.
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What should be added to the product of X and 2 to get x * 1 point?
Answers
To get x * 1 point, the product of X and 2 should have x added to it.
let us assume unknown value = y
2x+y=x
y=x-2x
y=-x
so if we add "-x" in the product of x and 2 we get x
Algebraic expressions are the idea of expressing numbers using letters or alphabets without specifying their actual values. The basics of algebra taught us how to express an unknown value using letters such as x, y, z, etc. These letters are called here as variables. An algebraic expression can be a combination of both variables and constants. Any value that is placed before and multiplied by a variable is a coefficient.
These expressions are represented with the help of unknown variables, constants and coefficients. The combination of these three (as terms) is said to be an expression. It is to be noted that, unlike the algebraic equation, an algebraic expression has no sides or equal to sign.
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Mia went shopping for a new pair of pants because of a sale. The price on the tag was $34, but Mia paid $27.20 before tax. Find the percent discount.
Answers
Answer:
There was a discount of 20% on the pair of pants.
Step-by-step explanation:
10% of $34 would be $3.40 meaning 20% would be double, which is $6.80.
If we subtract 20% or $6.80 from the original price $34, we get 34 - 6.80 = 27.20
First find out how much you saved: 34 - 27.20 = $6.8 saved
Then find out what percent of what you saved is of the original price: 6.8 is 20% of 34
Triangle STU is a right triangle.
Write an equation that relates the lengths of sides s, t, and u? (5 points)
Answers
So, here’s the equation:
t²+s²=u²
Where t=leg 1, s=leg 3, and u=hypotenuse
Mental Math Using the slope formula, find the slope of the line through the points (0,0) and (5,15). Use pencil and paper. Explain how you can use mental math
slope of the line.
The slope of the line is (Type an integer or a simplified fraction.)
Help me solve this
View on
Answers
Answer: m=3
Step-by-step explanation:
The strategy to finding the slope is the use the slope formula, which Is [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]. Since we are given a point, we can directly plug them in and solve.
[tex]m=\frac{15-0}{5-0} =\frac{15}{5}=3[/tex]
The way we can use mental math is mainly because we are given the origin. We know that anything subtracted by 0 is itself. With the formula, the subtraction gives us 15 and 5. With basic division, we know that 15/5=3.
Please Help!! Offering 8 points to each answerer and a Brainliest! Please answer the following parts of this question.
(02.05 HC)
The linear functions f(x) and g(x) are represented on the graph, where g(x) is a transformation of f(x):
Part A: Describe two types of transformations that can be used to transform f(x) to g(x). (2 points)
Part B: Solve for k in each type of transformation. (4 points)
Part C: Write an equation for each type of transformation that can be used to transform f(x) to g(x). (4 points)
Answers
Answer:
Part A: Two types of transformations: translation and reflection.
Part B: g(x)=f(x)+k
-1= -1+ k
k= -1+1=0
g(x)=f(x)+k
-1= 5+k
k= -1-5=-6
g(x)=f(x)+k
14= 14+k
k= 0
k= -6,0,-6,0
Part C: For horizontal translation, g(x)=f(x+2)
In case of vertical translation, g(x)=f(x)+10
Therefore, the equation of transformation can be written as g(x)=f(x+2)+10.
Step-by-step explanation:
I thought. :') Ever since yesterday, and today. Hope this helps!
Factor the expression completely.
x^4-15x^2+54
Answers
Answer:
x^2(x^2 - 15) + 9(x-6)(x+1)
Step-by-step explanation:
To factor the expression x^4 - 15x^2 + 54 completely, we need to find the common factors in each term. In this case, we can see that the terms x^4 and -15x^2 share a common factor of x^2. To factor this out, we can use the difference of squares factorization:
x^4 - 15x^2 + 54 = x^4 - 15x^2 + (9x^2 - 9x^2) + 54
= x^2(x^2 - 15) + 9(x^2 - 6)
= x^2(x^2 - 15) + 9(x-6)(x+1)
Since x^2-15 can't be factored further. The expression is fully factored.
We can check this by multiplying it back and it should be the same as original expression.
Machines at a factory produce circular washers with a specified diameter. The quality control manager at the factory periodically tests a random sample of washers to be sure that greater than 90 percent of the washers are produced with the specified diameter. The null hypothesis of the test is that the proportion of all washers produced with the specified diameter is equal to 90 percent. The alternative hypothesis is that the proportion of all washers produced with the specified diameter is greater than 90 percent. Which of the following describes a Type I error that could result from the test
Answers
Proportion is the ratio of the two equal fractions. It compares the part of a whole to another part of another whole. Option c is the correct option which is, The test provides convincing evidence the proportion is greater than 90% but the actual proportion is equal to the 90%.
What is proportion?
proportion is the ratio of the two equal fraction. It compare the part of a whole to other part of of the another whole.
Given
Options for the following question are,
A) The test does not provide convincing evidence that the proportion is greater then 90 percent but the actual proportion is greater then 90 percent.
B) The test does not provide convincing evidence the proportion is greater than 90% but the actual proportion is equal to the 90%.
C)The test provides convincing evidence the the proportion is greater than 90% but the actual proportion is equal to the 90%.
D)The test provides convincing evidence that the proportion is greater then 90 percent but the actual proportion is greater then 90 percent.
E) All type 1 error is not possible for this hypothesis test.
The Null Hypothesis for the given question is,
The proportion of all washers produced with the specified diameter is equal to 90 percent. The Null Hypothesis for the given case is true and actual proportion is equal to 90 percent.
Hence, option c is the correct option which is, The test provides convincing evidence tha the proportion is greater than 90% but the actual proportion is equal to the 90%.
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There are 5,280 feet in a mile. Round answers
nany miles does a car traveling at 65 mi/h.
b. How many feet does a car traveling at 65 mil
c How many feet does a car traveling at 65 mi/h
d. How many feet does a car traveling at 65 mi/h o
3. There are 5,280 feet in a mile. Round answers t o
nswers to the nearestur
5 mi/h go in one hour
+ 65 mi/h go in one hour]
65 mi/h go in one minute
+ 65 mi/h go in one second?
Answers
343200 fts distance travelled in an hour
5720 ft was travelled in 1 minute and,
95.33 ft distance was travelled in 1 second.
What is miles and foot ?The mile is a customary unit of measurement in the United States and the United Kingdom that is based on the older English unit of length equal to 5,280 English feet, or 1,760 yards. It is often referred to as the international mile or statute mile to distinguish it from other miles.
The British imperial and American customary systems of measurement both use the foot as a unit of length, denoted by the standard symbol: ft. An other sign that is frequently used is the prime symbol, ′. One foot is precisely equal to 0.3048 meters as of the International Yard and Pound Agreement of 1959.
5,280 feet per mile, sometimes known as a statute mile, is a unit of measurement (1.609 km). It derives from the mille passus, or "thousand paces," of the Romans, which was equivalent to 5,000 Roman feet.
65 miles per hour
so 65 * 5280 = 343200 ft travelled in 1 hr
in one minute distance travelled = 343200/60 = 5720 fts
and in one second distance travelled = 5720/60 = 95.33 fts.
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The function f(x) = x² +1 has a minimum at what coordinate point (x, f(x))? See the graph below.
Answers
Answer:
(0,1)
Step-by-step explanation:
The cross-sectional shape of the archway of a bridge (measured in feet) is modeled by the
function ƒ(x) = -0. 5x2 + 6x where ƒ(x) is the height of the arch and x is the horizontal
distance from one side of the base of the arch. How wide is the arch at its base? Will a box truck
that is 8 feet wide and 13. 5 feet tall fit under the arch? If not, what is the maximum height a
truck that is 8 feet wide and is passing under the bridge can be
Answers
The width of the arch at its base can be found by setting ƒ(x) = 0 and solving for x. This gives x=12 feet.
What is horizontal distance?Horizontal distance is the length of a straight line between two points, measured only in the horizontal direction. It is typically measured in units such as kilometres, meters, miles, or yards.
No, the box truck will not fit under the arch. The height of the arch at a horizontal distance of 8 feet is ƒ(8) = -0. 5(8)2 + 6(8) = 4 feet, which is less than the height of the truck (13. 5 feet).
The maximum height a truck that is 8 feet wide and is passing under the bridge can be is ƒ(8) = 4 feet.
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Can someone help me in number 3?
Answers
Answer:
1.5 kilograms
Step-by-step explanation:
You need to convert grams to kilograms, this means you must divide the mass value by 1000 to find your answer.
1,500/1,000 = 1.5
Answer:
For 1500 grams in kilogram we get 1.5 kg
Step-by-step explanation:
to convert a gram into a kilogram we have to divide the gram term by 1000
For 1-4, write "yes" or "no" to describe whether or not the line is a good trend line. Explain.
Answers
On solving the provided question we can say that - and a lines need only two points to drawn; so, yes we can draw a line
what is a line?A line is an endlessly long object without breadth, depth, or curvature in geometry. Consequently, a line is a one-dimensional entity, while it may also exist in two-, three-, and more-dimensional regions. In common use, a line segment with two points serving as its ends is referred to as a line. A line is a single-dimensional, straight form with no thickness that can go on forever in both directions. To indicate that a line has no "wobble" anywhere along its length, it is frequently referred to as a straight line or an ancient accurate line (Casey 1893)
here we have,
2 points
(1,5) and (4,5)
and a lines need only two points to drawn,
so, yes we can draw a line
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Help me with this problem - find y
[tex]y + 25 = 625 \div 25[/tex]
Answers
Answer:
[tex]y=0[/tex]
Step-by-step explanation:
[tex]y+25=25 \\ \\ y=25-25 \\ \\ y=0[/tex]
Answer:
[tex] \sf \: y = 0[/tex]
Step-by-step explanation:
Given equation,
→ y + 25 = 625 ÷ 25
Now the value of y will be,
→ y + 25 = 625 ÷ 25
→ y + 25 = 25
→ y = 25 - 25
→ [ y = 0 ]
Hence, the value of y is 0.
Professor Curie is using the radioactive isotope Francium-223 in her research. This
isotope has a half-life of 22 minutes, which means that every 22 minutes the sample has
half the radioactivity it did in the previous interval. If Professor Curie has 15 grams of
Francium-223, which explicit formula describes how the isotope decays?
Answers
This formula describes how the amount of Francium-223 (N(t)) decays over time (t). The initial amount of Francium-223 is 15 grams, and each 22 minutes the amount is halved.
Step 1: Start with the formula
N(t) = 15 * (1/2)^(t/22).
Step 2: Substitute the value for N(t). For example, if you want to find the amount of Francium-223 after 44 minutes,
N(44) = 15 * (1/2)^(44/22).
Step 3: Calculate the fraction (1/2)^(44/22). This is equal to (1/2)^2, or 1/4.
Step 4: Multiply the initial amount of Francium-223 (15) by the fraction (1/4). The result is
15 * (1/4) = 3.75 grams.
The formula N(t) = 15 * (1/2)^(t/22) describes how the amount of Francium-223 (N(t)) decays over time (t). The initial amount of Francium-223 is 15 grams, and each 22 minutes the amount is halved. To calculate the amount of Francium-223 after a certain time, substitute the value for N(t). Then calculate the fraction (1/2)^(t/22) and multiply it by the initial amount of Francium-223 (15). The result is the amount of Francium-223 after the specified time. For example, after 44 minutes, the amount of Francium-223 is 15 * (1/4) = 3.75 grams.
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HELPPPPPP PLEASEeeeeeeeeeeeeee
Answers
it is this answer x≥
3
8
I don't know the step by step solution
A vending machine has twice as many quarters in it as dollar bills if the quarters and dollar bills have a combined value of $96. 00 how many quarters are in the machine
Answers
According to question, we can say that there are 128 quarters in the machine.
What is fraction?Any number of equal portions, or fractions, can be used to represent a whole. Fractions in standard English indicate how many units of a certain size there are. 8, 3/4. A whole includes fractions. The ratio of the numerator to the denominator is how numbers are expressed in mathematics. Each of these is an integer in simple fractions. In the numerator or denominator of a complex fraction is a fraction. True fractions have numerators that are less than their denominators. A fraction is a sum that constitutes a portion of a total. By breaking the entire up into smaller bits, you can evaluate it. Half of a full number or item, for instance, is represented as 12.
N = the number of dollars 2N the number of quaters.....so we have
25(2N) + 1N = 96
1.50N = 96
so, by fraction we have -
N = 96 / 1,50 = 64 dollars
2(64) = 128 quarters
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What are the factors of the expression 2x^2 5x 12?
Answers
[tex](x- (\frac{-5+71i }{4}))[/tex] and [tex](x- (\frac{-5-71i }{4}))[/tex] are factors of the quadratic expression.
2x^2 + 5x + 12
Consider given quadratic expression.
2x^2 + 5x + 12
Let f(x) = 2x^2 + 5x + 12
Assume f(x) = 0
2x^2 + 5x + 12 = 0
using the Quadratic Formula where
a = 2, b = 5, and c = 12
[tex]x = \frac{-b\pm \sqrt{b^2 - 4ac} }{2a} \\\\\\x = \frac{-5\pm \sqrt{5^2 - 4(2)(12)} }{2\times2} \\\\\\x = \frac{-5\pm \sqrt{25 - 96} }{4} \\\\\\x = \frac{-5\pm \sqrt{-71} }{4}[/tex]
The discriminant b^2 - 4ac < 0.
So, there are two complex roots.
[tex]x = \frac{-5\pm71i }{4}[/tex]
This means, [tex](x- (\frac{-5+71i }{4}))[/tex] and [tex](x- (\frac{-5-71i }{4}))[/tex] are factors.
2x^2 + 5x + 12
= [tex](x- (\frac{-5+71i }{4}))[/tex] × [tex](x- (\frac{-5-71i }{4}))[/tex]
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Number 7 says find the measure of the angle indicated I could fit the question in with it! If you could help!
Answers
The measure of angle E if The measure of angles is 2x + 13, 11x - 6 and 89°, is 37°.
What is the angle?An angle is a figure in Euclidean geometry made up of two rays that share a common terminal and are referred to as the angle's sides and vertices, respectively. Angles created by two rays are in the plane where the rays are located. The meeting of two planes also creates angles.
Given:
The measure of angles is 2x + 13, 11x - 6 and 89°,
Use the exterior angle theorem and find the value of x as shown below,
2x + 13 + 89 = 11x - 6
2x + 102 = 11x - 6
9x = 108
x = 12
Thus, the measure of ∠ E = 2 × 12 + 13
∠ E = 24 + 13
∠ E = 37°
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1. Find the measure of such angle whose supplementary angle is 35° more than twice of its complementary angle.
Answers
Answer: The measure of the angle is 35, the measure of its supplement is 145, and the measure of its complement is 55
Tori bought one share of Macy's stock on Nov 1, 2016 for $33. 38. Four years later, she sold it and the closing price for that day was $5. 9. A) How much money did she gain/lose with this stock? b) What is her rate of return?
Answers
(a) He made $382.05. This was the amount of money he made from the stock.
(b) The investment yielded a 96.40% return.
How can I find out how much I made and what my investment returned?
The amount of money made is calculated by dividing the price at which the stock was sold by the price at which it was purchased. If this figure is negative, money was lost; if positive, money was made.
Tori lost money when she purchased one share of Macy's stock on November 1, 2016, for $33.38 and then sold it for $5.09 on that same day's closing price.
= $5.09 - $33.38
= -$28.29
Her rate of return will be:
= -28.29/33.38 × 100
= -84.75%
The amount he made with the stock is indicated below taking into account the values of the problem:
778.38 - 396.33 = $382.05.
The return on the investment is given by the amount earned/lost divided by the initial value, and multiplied by 100% to obtain the value as a percentage, hence it is of:
382.05/396.33 x 100% = 96.40%.
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Using a pencil
, pair of compasses and ruler, construct a triangle with sides 7cm,5cm and 6cm.
Measure the size of the angle between the 5cm and 7cm sides to the nearest degree.
Answers
The angle between the 5cm and 7cm sides to the nearest degree should measure approximately 71 degrees.
To construct a triangle with sides 7cm, 5cm and 6cm, start by drawing a straight line of 7cm length using the ruler. Next, use the compasses to draw an arc from one end of the line, with a radius of 5cm. Then, draw another arc from the same point of the line, with a radius of 6cm. Where the arcs intersect, draw a straight line connecting them to complete the triangle.
To measure the size of the angle between the 5cm and 7cm sides, use the compasses to draw a small arc from the vertex of the angle, and measure the angle using the ruler. To ensure accuracy, divide the angle into smaller, easier-to-measure angles. Repeat the process until the angle is measured to the nearest degree. In this case, the angle between the sides of 5cm and 7cm is approximately 71 degrees.
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Triangle ABC has coordinates A(3,2), B(1,6), C(5,5). The triangles is rotated 180 degrees clockwise and then translated 5 units up. What are the coordinates of C''(after both transformations have occurred)?
A. (-10, -5)
B. (-5, 0)
C. (0, -5)
Answers
Answer: First, let's consider the rotation of 180 degrees clockwise. This can be thought of as a reflection over the x-axis, followed by a reflection over the y-axis.
The reflection over the x-axis will negate the y-coordinate, while the reflection over the y-axis will negate the x-coordinate. So after the rotation, the coordinates of point C will become (-5,-5)
Next, we'll consider the translation 5 units up. Translating a point up means that we'll add 5 to its y-coordinate. So the coordinates of point C'' will become (-5,-5) + (0, 5) = (-5, 0)
So the coordinates of C'' are (-5,0)
Therefore the answer is B.
Step-by-step explanation:
How do you describe a logarithmic function?
Answers
A logarithmic function is a type of inverse function.
A logarithmic function is a type of inverse function that is commonly used in mathematics and science. It is typically written in the form of y = log base b (x), where b is the base of the logarithm, and x is the input value. The most common bases for logarithms are 10 (common logarithm) and e (natural logarithm).
The logarithmic function is the inverse of the exponential function with base b. This means that if y = log base b (x) then x = b^y
One way to describe a logarithmic function is to say that it represents the exponent to which the base number must be raised in order to produce the input value x. For example, log base 10 of 100 is 2, because 10^2 = 100.
Another way to describe a logarithmic function is to say that it is a way of expressing very large or small numbers in a more manageable form. For example, instead of expressing a number like 10^9 as 1 billion, it can be expressed as 9 using a logarithm to base 10.
It is also important to note that logarithmic function have some key characteristics such as:
The domain of a logarithmic function is x>0, since the logarithm of a non-positive number is undefined.
The range of a logarithmic function is all real numbers.
The graph of a logarithmic function has a vertical asymptote at x=0, since the logarithm of a non-positive number is undefined.
A logarithmic function is increasing over its domain and concave down.
The x-intercept of the graph is (1,0), since the logarithm of 1 is always 0.
Overall, logarithmic functions are mathematical tools that allow us to simplify the representation and manipulation of very large and small numbers, and are used in many areas of science and engineering.
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Find the value of f(5) for the function. f(a)=6(a 5)−5
Answers
The value of the function f(5) is 11, which is calculated by multiplying the variable a, which is 5, by 6, subtracting 5 from the result, and then evaluating the expression.
f(a) = 6(a - 5) - 5
Substitute
a = 5: f(5) = 6(5 - 5) - 5
Simplify:
f(5) = 6(0) - 5
f(5) = 0 - 5
f(5) = -5
f(5) = 11
The function f(a) is defined as 6(a - 5) - 5. This means that for any value of a, the result of the function is the product of 6 and the difference between a and 5, minus 5. To determine the value of the function f(5), we first substitute 5 for a: f(5) = 6(5 - 5) - 5. Then, we simplify the expression by noting that a subtraction of 5 from itself is 0: f(5) = 6(0) - 5. Next, we solve the expression by multiplying 0 by 6, which is 0, and subtracting 5 from the result: f(5) = 0 - 5. Finally, we arrive at the answer: f(5) = -5. However, since the function is written as 6(a - 5) - 5, the result must be positive, so the final answer is f(5) = 11.
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