We have:
[tex]f(x)=4x+2[/tex]And want to find f(8), for this we simply replace x with 8 and operate:
[tex]f(8)=4(8)+2\Rightarrow f(8)=34[/tex]4. Round the number 5,997 to the nearest hundred.
Answer:
6,000
Step-by-step explanation:
6 kg of bananas cost $42. How much
would 35 kg cost?
Round the answer to the 2 decimal digit
Answer:
245
Step-by-step explanation:
6 - 42
35 - x
cross multiply
6x = 35 × 42
6x = 1470
x = 1470 ÷ 6
x = 245
A triangle has sides with lengths of 20 cm, 15 cm, and 10 cm. Substitute these values into the Pythagorean Theorem to determine if the sides form a right triangle.
Answer:
10^2 + 15^2 = 20^2
100+225≠400
so no, it's not a right angled triangle
:)
Adi is 5 inches short than Sunee. Sunee is n inches tall. What is an expression that represents Adi's height in inches?
The expression that represents the Adi's height in inches is n - 5.
Expression:
An expression is the mathematical statement which consists of numbers, variables and an arithmetic operation like addition, subtraction and division etc. between them.
Given,
Adi is 5 inches short than Sunee. Sunee is n inches tall.
Here we need to find the expression for Adi's height in inches.
Through the given question we know that,
Sunee is n inches tall.
And Adi is 5 inches lesser than Sunee.
Here we have the word short or less, that represents that we have to reduce that amount from the total.
Therefore, the expression for Adi's height in inches is,
=> n - 5.
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A book has 250 pages.how many digits have been used to print page no.s of book
Answer: 642 Digits have been used to print 250 Pages
Step-by-step explanation:
A book has 250 pages
1 - 250 Numbers will be used
Single Digit number - 9 ( 1- 9)
Two Digit Numbers 90 ( 10 - 99)
Three Digit Numbers 151 ( 100 - 250)
Number Of Digits used = 9 * 1 + 90 * 2 + 151 * 3
= 9 + 180 + 453
= 642
642 Digits have been used to print 250 Pages
PLEASE HELP ASAP!!!!!!!!!!!!! WITH STEPS PLEASEEEEEE!!!!!!!!!!!!!
Given f(x) = x2 + 4x − 1, describe the new function g(x) = f(x + 4)
Step-by-step explanation:
This should be the right solution.
x+6x-5x=x+114 Please help.
Malik's car used \frac{1}{48}
48
1
of a gallon to travel \frac{1}{4}
4
1
of a mile. How many miles can the car go on one gallon of gas?
On the double number line below, fill in the given values, then use multiplication to find the missing value. Enter your answers as fractions, mixed numbers, or whole numbers.
The number of miles that the car can go on one gallon of gas is:
12 miles.
How to calculate the rate of miles per gallon?The rate of miles per gallon is given by the number of miles divided by the number of gallons, according to the equation presented as follows:
miles per gallon = miles / gallon.
In the context of this problem, the measures are found as follows:
Miles = 1/4 = distance traveled.Gallon = 1/48 = amount of fuel used to travel the given distance.Hence the rate is given as follows:
miles per gallon = (1/4) / (1/48)
For a division of fractions, we multiply the inverse of the denominator by the numerator, hence:
miles per gallon = 48 x 1/4 = 48/4 = 12 miles.
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our football team has members, of which only are strong enough to play offensive lineman, while all other positions can be played by anyone. in how many ways can we choose a starting lineup consisting of a quarterback, a running back, an offensive lineman, and a wide receiver?
By using Permutation, the total number of ways in which we can choose a starting lineup consisting of a quarterback, a running back, an offensive lineman, and a wide receiver is 1512.
Permutation is defined as the arrangement of items in a specific or a particular order.
Since there are 3 choices for the position of offensive lineman, and for the next position there are 9 choices, similarly 8 choices for the next position and 7 choices remain for the last position.
So we get, 3x9x8x7 =1512, by the concept of Permutation.
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The vertices of △ABC are A(2, −3), B(−3, −5), and C(4, 1). If (x,y)--> (x-2, y+3), give the vertices of △A′B′C′.
Answer:
A' = (0, 0)
B' = (-5, -2)
C' = (2, 4)
Step-by-step explanation:
Vertices of triangle ABC:
A = (2, -3)B = (-3, -5)C = (4, 1)Given mapping rule:
(x, y) → (x - 2, y + 3)
This notation tells you that the x-coordinate is translated 2 units to the left, and the y-coordinate is translated 3 units up.
Substitute the coordinates of each point into the mapping rule to find the vertices of triangle A'B'C':
⇒ A' = (2 - 2, -3 + 3) = (0, 0)
⇒ B' = (-3 - 2, -5 + 3) = (-5, -2)
⇒ C' = (4 - 2, 1 + 3) = (2, 4)
Round your answer to the nearest hundredth.A = 8.4 in²Calculate the diameter of the circle.O 3.27 inO 4.20 inO 1.75 inO2.89 in
The area of a circle can be calculated as follows:
[tex]A=\pi r^2[/tex]Using the area given in the problem and solving for the radius r:
[tex]\begin{gathered} A=8.4 \\ 8.4=\pi r^2 \\ \frac{8.4}{\pi}=r^2 \\ \sqrt{\frac{8.4}{\pi}}=r \\ 1.635=r \end{gathered}[/tex]Finally, the diameter is twice the radius:
[tex]\begin{gathered} d=2r \\ d=2*1.635 \\ d=3.27\text{ in} \end{gathered}[/tex]Then the answer is the first option 3.27 in
1) Round the number to the underlined place value.
-17.625
I figured x equals a specific number in every single question involving something like this. X is on all sides, there's no given number.
The angle x of the triangle is 60 degrees.
How to find the angles in a triangle?A triangle is a polygon with three sides. The sum of angles in a triangle is equals to 180 degrees.
A triangle can be classified base on the sides and angles. For example equilateral triangle, scalene triangle and isosceles triangle.
Therefore, the angle x of the triangle can be found as follows:
x + x + x = 180
3x = 180°
divide both sides of the equation by 3
3x / 3 = 180 / 3
x = 180 / 3
x = 60 degrees.
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Answer:
the person below or above me is the answer. Yeah
Step-by-step explanation:
Three t-shirts for $10. find the unit rate
Answer:
Step-by-step explanation:I don’t know
535(-8) ??? What is the answer
Answer: the answer is -4280
Step-by-step explanation:
Help me with this question please
Answer:
65
Step-by-step explanation:
First find the area of the triangles
a*b/2 is the equation for triangles
5*6/2 is 15
multiply 15*2 because there are two triangles
15*2=30
Now find the area of the rectangle
5*7=35
Then add.
30+35=65
:)
Arianys is driving to a concert and needs to pay for parking. There is
an automatic fee of $11 just to enter the parking lot, and when she
leaves the lot, she will have to pay an additional $3 for every hour she
had her car in the lot. How much total money would Arianys have to
pay for parking if she left her car in the lot for 4 hours? How much
would Arianys have to pay if she left her car in the lot for t hours?
Cost of parking for 4 hours:
Cost of parking for t hours:
Pls help me
Answer:
c = 3t + 11
t = time in the lot
c = total cost
4 hours the cost will be $23
Step-by-step explanation:
Cost for 4 hours.
c = 3t + 11
c = 3(4) + 11
c = 12 + 11
c= $23
A balcony at an apartment can hold up to 1,816 kilograms. How many 160-pound people can the balcony hold?
The balcony can hold 25 people of 160-pound weight.
According to the question,
We have the following information:
The maximum weight balcony can hold = 1816 kg
Weight of 1 person = 160 pound
Now, we will convert this weight into kilogram so that both the measurements have same units.
1 pound = 0.454 kg
160 pound = 160*0.454 kg
160 pound = 72.64 kg
Now, let's take the number of people balcony can hold to be x.
So, we have:
72.64x = 1816
x = 1816/72.64
x = 25
Hence, the number of people the given balcony can hold is 25.
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Question 2
help pls its hard i forgt how to do it
Answer: 52
Step-by-step explanation:
a^2+b^2=c^2
x is the hypotenuse (c). You can find the hypotenuse by finding the opposite of the right angle
48^2+20^2=2304+400=2704
√2704=52
x=52
EB.AACB = ADCE. AB = 8 and AC = 6DE = [?]
DE will be equal to AB, then DE=8
Find the indicated measure. Assume that all segments that appear to be tangent are tangent.
We are asked to determine the arc length of HJ. To do that we will use the following formula:
Given two secant lines that intercept outside a circle as follows:
We have the following relationship:
[tex]\angle x=\frac{1}{2}(\text{mCD-mAB)}[/tex]Substituting the values we get:
[tex]29=\frac{1}{2}(96-\text{mHJ)}[/tex]Now, we multiply both sides by 2:
[tex]58=96-mHJ[/tex]Now, we subtract 96 from both sides:
[tex]58-96=-\text{mHJ}[/tex]Solving the operations:
[tex]-38=-\text{mHJ}[/tex]Now, we multiply both sides by -1:
[tex]38=\text{mHJ}[/tex]Therefore, the measure of the arc length of HJ is 38.
you are given the set of letters {a, b, c, d, e}. what is the probability that in a random five-letter string (in which each letter appears exactly once, and with all such strings equally likely) the letters a and b are next to each other?
The probability in a random 5-letter string that the letters A and B will be next to each other is 0.4
For A and B to be next to each other in the string of letters, consider the AB combination as a single letter. Then there are 4 letters AB, C, D, E.
There are 4! number of ways to arrange these 4 letters.
4!= 24 ways
We know AB can be arranged in 2 ways ( AB or BA)
Thus there are 2*4! = 2 * 24 = 48 ways of arranging the letters such that AB are next to each other in the random Five-letter string
The total number of letters in the set is 5 and hence the total number of ways the letters can be arranged without A and B necessarily being next to each other is 5!= 120
The probability that in the random five-letter string( in which each letter appears only once with all such strings equally likely) the letters A and B are next to each other= 48/120 = 0.4
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write each percent as a fraction in simplest form. 20%
Answer:
1/5
Step-by-step explanation:
"percent" means "per hundred"
(because cent means hundred like years in a century or cents in a dollar)
anyway
20% means
20 per 100
write it as 20/100
Now simplify it.
20/100
= 2/10
= 1/5
Write an integer that lies between-7.73 & -6.41, what is the answer?
f(x) = 4x3 + 6x2 – 3x – 4g(x) = 4x – 3Find (f - 9)(x).A. (f - g)(x) = 4x3 + 6x2 + x - 1B. (f - g)(x) = 4.23 + 6x2 – 7x – 7c. (f - g)(x) = 4x3 + 6x2 + x - 7O D. (f - g)(x) = 4x3 + 6x2 – 7x - 1SUBMIT
Step1:
You are to subtract g(x) from f(x)
Step2:
Simplify and collect like terms
therefore,
[tex]\begin{gathered} \\ (f-g)x=4x^3+6x^2\text{ - 3x - 4 - (4x - 3)} \\ =4x^3+6x^2\text{ - 3x - 4 - 4x + 3} \\ \text{Next add like terms} \\ =4x^3+6x^2\text{ -7x - 1} \end{gathered}[/tex]Option D is the correct answer
what is 16 divided by 3,482
Answer:217.625
Step-by-step explanation:
6. Which of the following facts, if true, would allow you to prove that lines I and m are parallel? (1 point)
5/6
7 8
m22-m23
m27+m28=180*
Om24-m25
m26+m22=180°
1
3
4
2
m
Answer:
The first 3 answers
Step-by-step explanation:
∠2 and ∠3 are vertical angles which means they are congruent. That would then make ∠1 and ∠4 congruent.
∠7 and ∠8 = 180 means that is a straight line.
∠4 and ∠5 are alternate interior angles which make them congruent.
That would then mean ∠3 and ∠4 = 180 which is a straight line because ∠3 would then be a corresponding angle to ∠7.
What is the equation to this graph? pls help
Answer is y=1/2x+2 because the slope is 1/2 and the starting point is +2
Complete the table and use the results to find the indicated limit.
Given the function:
[tex]k(x)=\frac{x^3-x-6}{x-2}[/tex]when x = 1.9
[tex]k(x)=\frac{1.9^3-1.9-6}{1.9-2}=\frac{-1.041}{-0.1}=10.41[/tex]when x = 1.999
[tex]k(x)=\frac{1.999^3-1.999-6}{1.999-2}=\frac{-0.0109944}{-0.001}=10.994001[/tex]When x = 2.001
[tex]k(x)=\frac{2.001^3-2.001-6}{2.001-2}=\frac{0.011006}{0.001}=11.006[/tex]When x = 2.1
[tex]k(x)=\frac{2.1^3-2.1-6}{2.1-2}=\frac{1.161}{0.1}=11.61[/tex]so, the limit of the function k(x) = 11
The answer is option A. 11
the teacher wants to select 6 students from this class. the first selected student will be a media helper, the second one will be a pledge/flag helper, the third one will be a pencil sharpener, the fourth one will be attendance taker, the fifth one will be a board eraser and the sixth one will be a calendar helper. from this class of 13 students, how many different ways can this selection be done?
From this class, the teacher wishes to selected six students. 2,2,2,2,2,3 different ways are there to selected from this class of 13 students.
Given that,
From this class, the teacher wishes to selected six students. The first chosen student will assist with media, the second will assist with pledges and flags, the third will sharpen pencils, the fourth will take attendance, the fifth will wipe the board, and the sixth will assist with the calendar.
We have to find how many different ways are there to selected from this class of 13 students.
For 13 students,
We divide like 2,2,2,2,2,3.
The first 2 student will be a media helper,
The second 2 students will be a pledge/flag helper,
The third 2 students will be a pencil sharpener,
The fourth 3 students will be attendance taker,
The fifth 2 students will be a board eraser and
The sixth 2 students will be a calendar helper.
Therefore, This many ways we can selected the students.
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