Answers
Related Questions
find the area of a rectangle with a length of 10 inches and a width of 4 inches
Answers
Answer:
40 in²---------------------
Formula for area of a rectangle with dimensions l and w is:
A = lwSubstitute 10 for l and 4 for w:
A = 10*4A = 40 in²Expand the function.
f(x) = (3x-4)4
81x4 − 432x³ + [? ]x²
+
-
X +
PLS HELP
Answers
The expansion of the function \((3x - 4)^4\) simplifies to \(81x^4 - 432x^3 + 864x^2 - 768x + 256.\)
To expand the function \(f(x) = (3x - 4)^4\), we can use the binomial theorem. According to the binomial theorem, for any real numbers a and b and a positive integer n, the expansion of \((a + b)^n\) can be written as:
\((a + b)^n = C(n, 0)a^n b^0 + C(n, 1)a^{(n-1)} b^1 + C(n, 2)a^{(n-2)} b^2 + ... + C(n, n-1)a^1 b^{(n-1)} + C(n, n)a^0 b^n\)
where C(n, k) represents the binomial coefficient, which is given by C(n, k) = n! / (k!(n-k)!).
Applying this formula to our function \(f(x) = (3x - 4)^4\), we have:
\(f(x) = C(4, 0)(3x)^4 (-4)^0 + C(4, 1)(3x)^3 (-4)^1 + C(4, 2)(3x)^2 (-4)^2 + C(4, 3)(3x)^1 (-4)^3 + C(4, 4)(3x)^0 (-4)^4\)
Simplifying each term, we get:
\(f(x) = 81x^4 + (-432x^3) + 864x^2 + (-768x) + 256\)
Therefore, the expanded form of the function \(f(x) = (3x - 4)^4\) is \(81x^4 - 432x^3 + 864x^2 - 768x + 256\).
Note that the coefficient of \(x^3\) is -432, the coefficient of \(x^2\) is 864, the coefficient of x is -768, and the constant term is 256.
For more question on function visit:
https://brainly.com/question/11624077
#SPJ8
Note the complete question is
![Expand the function.f(x) = (3x-4)481x4 432x + [? ]x+-X + PLS HELP](https://i5t5.c14.e2-1.dev/h-images-qa/answers/attachments/GfWbZg9TGTD1FI7gZnK9lbVdLBpjkw5X.jpeg)
Find the measure of the numbered angles in each rhombus
Answers
Answer:
Step-by-step explanation:
I thought those lines mean that they are equal meaning that the number is 68.
write the inequality shown -4x+y=-3
Answers
The inequality corresponding to the equation -4x + y = -3 is either y > 4x - 3 or y < 4x - 3, depending on the relationship between 4x - 3 and 0.
To write the inequality represented by the equation -4x + y = -3, we first need to manipulate the equation to express y in terms of x.
Starting with -4x + y = -3, we isolate y by adding 4x to both sides:
y = 4x - 3
Now we have y expressed in terms of x. To form the inequality, we consider the relationship between x and y. The inequality depends on whether the expression 4x - 3 is greater than or less than 0.
If 4x - 3 is greater than 0, then y is greater than 0, and we can write the inequality as:
y > 4x - 3
If 4x - 3 is less than 0, then y is less than 0, and we can write the inequality as:
y < 4x - 3
The inequality represents a region in the coordinate plane where the y-values are either greater than or less than the expression 4x - 3, depending on the direction of the inequality sign.
For example, if we choose a point (x, y) in the region above the line y = 4x - 3, where y is greater than 4x - 3, the inequality y > 4x - 3 will hold true. On the other hand, if we choose a point below the line, where y is less than 4x - 3, the inequality y < 4x - 3 will be satisfied.
For more such questions on inequality
https://brainly.com/question/30238989
#SPJ8
Jan had 30 dollars saved for a new bike. This was one third of needed to save. how much does the bicycle cost?
Answers
Answer:
90 dollars
Step-by-step explanation:
I did maths hghbhhbghfggghggfgy
A positive real number is 1 less than another. When 2 times the larger is added to the square of the smaller, the result is 8. Find the numbers.
Answers
Answer:
Let your two numbers be n and n-1. Then: 2n+n²-2n+1=51 n²=50 n=5√2 n-1=5√2-1
Hope that helps <3
Any Answers and explanation to this?
Answers
Answer:
give a thanks first and then ill tell you
Step-by-step explanation:
Answer:
Maybe it's D) or c) if not i'm du.mb and sorry
Step-by-step explanation:
Find the value of x in the kite
Answers
It is estimated that only 68% of drivers wear their safety belt. Part A: What is the probability that exactly 3 drivers are wearing their safety belts if a police officer pulls over five drivers at random? (5 points) Part B: What is the probability the next driver wearing their safety belt that the police officer pulls over is the fifth driver? (5 points) (10 points)
Answers
Hence, there is a 0.68 percent probability that the fifth driver will be the one that police officer summons over while wearing a safety belt.
What does the name probability mean?The word "probability" derives from the Latin word "propitiate," which means "credibility, probability," from the noun probabilism in the 14th century (see probable). The phrase was first used in a mathematical meaning in 1718.
Part A:
The likelihood that precisely 3 drivers are buckled up can be determined using the binomial probability formula:
P(X = 3) = (5 choose 3) × (0.68)³ × (0.32)²
Where (5 choose 3) = 10 is the number of ways to choose 3 drivers out of 5.
P(X = 3) = 10 × 0.68³ × 0.32²
P(X = 3) = 0.267
Consequently, there is a 0.267 percent chance that all 3 drivers are buckled up.
Part B:
The fifth driver will be pulled by by the police officer since 4 other drivers have already been stopped. We are looking for the likelihood that the motorist is wearing a safety belt.
Since 68% of drivers are safety belt wearers, there is a 0.68 percent chance that the following motorist will be as well.
Thus, there is a 0.68 percent chance that the next vehicle the police officer pulls over is driven by a person wearing a safety belt.
To know more about probability visit:
https://brainly.com/question/13604758
#SPJ1
You can buy 20 pens for $8 or 30 pens for $10. Which is the better deal?
Answers
Answer: It would be the first one (20 pens for 8$)
Step-by-step explanation: If you divide 20 by 8 then each pencil will be 2.50$. However if you divide 30 by 10 it will be 3 dollars for each pencil so the first deal will be better since you spend less money.
Last year, Mrs.Sclair’s annual salary was $88,441. This year she received a raise and now earns $96,402 annually. She is paid weekly. a. What was her weekly salary last year? Round to the nearest cent. b.What is Mrs.Sclair’s weekly salary this year? Round to the nearest cent. c.On a weekly basis, how much more does Mrs.Sclair earn as a result of her raise?
Answers
We have the following:
old salary: $88441
new salary: $96402
The year is approximately 52 weeks, therefore:
a. old salary for week:
\(\begin{gathered} \frac{88441}{52}=1700.8 \\ \end{gathered}\)b. new salary for week:
\(\frac{96402}{52}=1853.9\)c. weekly raise
\(1853.9-1700.8=153.1\)i will love you forever i just need help
Answers
Answer:
then love me more also, i bet the answer is pi
Step-by-step explanation:
Please see attached picture below to help me pleaseplot 1 1/2 and 2 1/4 on the number line
Answers
The given mixed numbers are:
\(1\frac{1}{2},2\frac{1}{4}\)The first thing we need to do is convert it into improper fractions, as follows:
\(\begin{gathered} 1\frac{1}{2}=\frac{1\times2}{2}+\frac{1}{2} \\ 1\frac{1}{2}=\frac{2}{2}+\frac{1}{2} \\ 1\frac{1}{2}=\frac{3}{2} \end{gathered}\)Now, continue with 2 1/4:
\(\begin{gathered} 2\frac{1}{4}=\frac{2\times4}{4}+\frac{1}{4} \\ 2\frac{1}{4}=\frac{8}{4}+\frac{1}{4} \\ 2\frac{1}{4}=\frac{9}{4} \end{gathered}\)In order to plot them on the number line, for the first fraction 3/2, we need to divide the unity into 2 equal parts, and then count 3 of these divisions, that would be 1 1/2 or 3/2, is the same:
Now for the 2 1/4 or 9/4 (they are the same), we need to divide the unity into 4 equal parts and then count 9 of these divisions, then:
The radius of a circle is 9 cm. Find its circumference in terms of
π.
Answers
Answer:
Step-by-step explanation:
C = 2*pi * r
r = 9 cm
pi = 3.14
C = 2*3.14 * 9
C = 56.52
Edit
You wanted it in terms of pi
C = 2 pi r
r = 9
C = 2*9*pi
C = 18 * pi
Which symbol should replace the box to correctly compare these expressions?
4−3(2−8) □ 2⋅2−2⋅10
=
≠
Answers
Answer:
Answer is 'not equal to'
Step-by-step explanation:
for Left hand side
4-3(2-8)
=1(2-8)
=1(-6)
= -6
For right hand side
2.2-2.10
=4-2.10
=2.10
=20
Therefore: Left hand side if eq is not equal to right hand side of eq
=> 6 is not equal to 20
thus your answer is 2nd ones
need help with this ASAP
!!!!!!!!!!!!!!!!!!!!!!!!
Answers
The fence in dead center is about 399 feet from the third base.
What is the Pythagorean Theorem?The Pythagorean Theorem states that in the case of a right triangle, the square of the length of the hypotenuse, which is the longest side, is equals to the sum of the squares of the lengths of the other two sides.
Hence the equation for the theorem is given as follows:
c² = a² + b².
In which:
c > a and c > b is the length of the hypotenuse.a and b are the lengths of the other two sides (the legs) of the right-angled triangle.For the triangle in this problem, we have that:
The sides are d ft and 90 ft.The hypotenuse is of 409 ft.Hence the distance is obtained as follows:
d² + 90² = 409²
\(d = \sqrt{409^2 - 90^2}\)
d = 399 ft.
More can be learned about the Pythagorean Theorem at brainly.com/question/30203256
#SPJ1
The number negative eight is to the right of negative ten on the number line.
Answers
The number negative eight is to the right of negative ten on the number line. This is true.
What is a number line?A number line is a picture of a graduated straight line that serves as a visual representation of real numbers in primary mathematics. Every number line point is considered to correspond to a real number, and every real number to a number line point.
On a number line, we can argue that as we move to the right, the value of numbers increases. This signifies that the numbers on the right are more than those on the left. For instance, 3 is to the right of 1, hence 3 > 1.
Number lines are a useful technique for improving kids' number sense. The use of number lines in teaching and learning encourages students to actively generate mathematical meaning by improving their mental representations of number size, number connections, and mathematical operations.
In this case, -8 is more than -10. Therefore, it's on the right hand side.
Learn more about number line on:
https://brainly.com/question/24644930
#SPJ1
Complete question
The number negative eight is to the right of negative ten on the number line. True or false?
Question 2
Which statement best explains
why the sum of the areas of the
two white squares in Figure 2 is
the same as the area of the white
square in Figure 1?
The combined area of the four triangles is equal to the area of the large white
square.
In each triangle, the length of side a plus the length of side b equals the length
of side c. That means that a? + b2 = c?.
In each figure the total area is equal and the area of the 4 triangles is equal, so
the remaining white area in each figure must also be equal.
Answers
Answer:
the third option
Step-by-step explanation:
that is actually the proof for Pythagoras :
both squares have the total area of (a + b)².
each of the triangles (4 in figure 1, 4 in figure 2) has the same area as the others : a×b/2
so, for figure 1
(a + b)² = 4×a×b/2 + c² = 2×a×b + c²
and for figure 2
(a + b)² = 4×a×b/2 + a² + b² = 2×a×b + a² + b²
2×a×b + c² = 2×a×b + a² + b²
c² = a² + b²
What do you know about these two lines?
y = 6x - 1
y = -6x - 4
A: The lines are parallel because their slopes are the same.
B: The lines are perpendicular because the slopes are opposites reciprocals
C: The lines are neither parallel nor perpendicular, they just intersect.
Answers
Explanation:
Refer to the y = mx+b form
m = slopeb = y interceptThe slopes are the only thing we focus on. For the equations y = 6x-1 and y = -6x-4, the slopes are 6 and -6 in that order.
The slopes are not equal, so the lines aren't parallel.
The slopes aren't opposite reciprocals of one another, so they aren't perpendicular either. An example of an opposite reciprocal pairing would be 6 and -1/6. Any pair of nonzero opposite reciprocal slopes always multiply to -1.
Therefore, the two lines are neither parallel nor perpendicular, they just intersect.
Naomi is a sales person. She sold a calculator for $86 and earned 20% commission. How much commission did Naomi earn?
Answers
Answer:
$17.20
Step-by-step explanation:
Total commission = cost x percent commission rate
86 x 20 % = 17.20
Total commission = $17.20
Question 14 of 14
Rachel buys
1
gallon of milk. Her sister Abby uses
1
1
2
quarts of the milk in a recipe. Then her mother uses
3
cups of the milk in a different recipe.
Select all of the true statements below.
A.
Rachel's mother uses more milk than her sister Abby uses.
B.
There are
56
fluid ounces of milk left.
C.
There are
9
cups of milk left.
D.
There is more than
1
4
gallon of milk left.
E.
There is more than
1
2
gallon of milk left.
Answers
The true statements are:
There are 56 fluid ounces of milk left.
There is more than 1 / 4 gallon of milk left.
What are the true statements?
The first step is to convert gallons to cups.
1 cup = 16 gallons
Then, convert quarts to cups
1 quart = 4 cups
1 1/2 x 4
3/2 x 4 = 6 cups
Total cups left = 16 - 6 - 3 = 7 cups
1 cup = 8 ounces
Total milk left in ounces: 8 x 7 = 56 ounces
1 cup = 1/16 gallons
Total milk left in gallons: 1 / 16 x 7 = 7/16 gallons
To learn how to convert units, please check: https://brainly.com/question/25993533
#SPJ1
I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS PLEASE AND PLEASE EXPLAIN WHY THAT IS THE ANSWER
Answers
Answer:
<1= 68 degree
<2= 112 degree
<3= 68 degree
<4= 112 degree
<5= 68 degree
<6= 112 degree
<7= 68 degree
<8= 112 degree
Step-by-step explanation:
steps in the image-
I Need help pls!
What is 75% of 800?
A; 9 3/8
B; 10.66
Answers
Answer:
it's 600
Step-by-step explanation:
that's not an option there but...
10% of 800 is 80
5% of 800 is 40
80 × 7 = 560
560 + 40 = 600
I need help! Please!!
Answers
Answer:
18/5
Step-by-step explanation:
3(6)=5x
18=5x
x=18/5
En una clase de 24 estudiantes, 16 son niñas y 8 son niños. ¿Cuál es la fracción de niños en la clase en su mínima expresión?
Answers
The fraction of girls to the total number of students in the class is 2/3.
The fraction of boys to the total number of students in the class is 1/3.
What is a fraction?In Mathematics, a fraction simply refers to a numerical quantity which is not expressed as a whole number. This ultimately implies that, a fraction is simply a part of a whole number.
Next, we would determine the fraction of girls to the total number of students in the class;
Fraction = 16/24
Fraction = 2/3.
Furthermore, we would determine the fraction of boys to the total number of students in the class;
Fraction = 8/24
Fraction = 1/3.
Read more on fraction here: brainly.com/question/2194108
#SPJ1
Complete Question:
In a class of 24 students, 16 are girls and 8 are boys. What is the fraction of children in the class in simplest terms?
There are 10 girls and 8 boys at a party. A cartoonist want to sketch a picture of each boy with each girl. How many sketches are required?
Answers
Answer:
80
Step-by-step explanation:
Each boy can be sketched with all of the girls so. 8*10=80
¿De qué número 64 es el 80%?
Answers
There were 23 bales of hay in the barn. Fred stacked more bales in the today.there are now 89 bales of hay in the barn.how many did he store in the barn.
Answers
Answer:
66
Step-by-step explanation:
Subtract how many there was in the end to how many was there in the first place and you should get 66.
Brenda deposited $2,059 in an account earning 1% interest compounded annually.
To the nearest cent, how much will she have in 1 year?
Answers
Steps:
A = P ( 1 + r/n )^nt
A = 2059 ( 1 + 0.01/1 )^1•1
A = 2079.59
On a coordinate plane, a line goes through points (negative 4, 0) and (0, 4.5).
What is the x-intercept???
image is there
Answers
-4 is the x intercept.as in the values on the x-axis
Answer:
Im pretty sure it the first one
Step-by-step explanation: