[tex]\textbf{a)}\\\\6x^2 -3x = 3x(2x-1)\\\\\textbf{b)}\\\\x^2+3x -28 \\\\=x^2 +7x-4x-28\\\\=x(x+7)-4(x+7)\\\\=(x-4)(x+7)\\\\\textbf{c)}\\\\4au+24av-5bu-30bv\\\\=4a(u+6v)-5b(u+6v)\\\\=(u+6v)(4a-5b)[/tex]
Step-by-step explanation:
A.6x^2-3x
3x(2x-1)
B.x^2+3x-28
product= -28x^2 sum= +3x factors= +7x, -4x
(x^+7x)(-4x-28)
x(x+7)-4(x+7)
(x-4)(x+7)
C.4au + 24av -5bu - 30bv
4a(u+6v)-5b(u+6v)
(4a-5b)(u+6v)
Solve the problem.
Two cylindrical cans of beef stew sell for the same price. One can has a diameter of 6 inches and a
height of 4 inches. The other has a diameter of 4 inches and a height of 6 inches. Which can contains
more stew and is therefore, a better buy?
Answer:
The first can.
Step-by-step explanation:
formula: Pi x diameter x height
1st can has a volume of 113.10
2nd can has a volume of 75.40
Please answer soon!
What is the median number of repairs per vehicle as shown in the box plot below?
Answer:
B, or 4
Step-by-step explanation:
Since the line in the middle of the box plot shows the median it tells us that the median is 4
Answer:
4
Step-by-step explanation:
because it is the middle number
Transform the table below given that g(x) = 2 f(6x).+ 8. Enter your answers as reduced fractions if necessary. Make sure your answers line up vertically with the corresponding x and f(x) values. As a hint, you can consider y f(x) to be the base graph of g(x).
The function g(x) = 2f(6x) + 8 is a function transformation of the function f(x)
How to transform the table?The function g(x) is given as:
g(x) = 2f(6x) + 8
The table is not given.
So, I will provide a general explanation
Using the following values of x:
x = 0, 1, 2, 3......
We have:
g(0) = 2f(6 *0) + 8
g(0) = 2f(0) + 8
g(1) = 2f(6 *1) + 8
g(1) = 2f(6) + 8
g(2) = 2f(6 *2) + 8
g(2) = 2f(12) + 8
g(3) = 2f(6 *3) + 8
g(3) = 2f(18) + 8
Next, we assume the following values
f(0) = 4, f(6) = 5; f(12) = 6 and f(18) = 7
The values become:
g(0) = 2f(0) + 8 = 2 * 4 + 8 = 16
g(1) = 2f(6) + 8 = 2 * 5 + 8 = 18
g(2) = 2f(12) + 8 = 2 * 6 + 8 = 20
g(3) = 2f(18) + 8 = 2 * 7 + 8 = 22
So, the table of values would be:
x g(x)
0 16
1 18
2 20
3 22
Read more about function transformation at:
https://brainly.com/question/4025726
A house is on a 60,000-squarefoot lot. Rounded to the nearest tenth, approximately how many acres are in the lot?
Answer:
1.4. If you look at the image if it looks like yours then it’s number 4, 1.4.
Step-by-step explanation:
i hope that helps!!
Help me please. Again?
Answer:
See attached image.
Step-by-step explanation:
HELP PLS HJJHHHJJHH
Answer:
See below ↓↓
Step-by-step explanation:
Important facts given [needed to solve]
Time period = 3 yearsLoan amount = $5000Interest rate = 8% (semi-annually - twice a year)Monthly payment = $156.68Solving :
Total amount to be repaid = Monthly payment x 3 years= Monthly payment x 3 x 12 months= $156.68 x 36= $5640.48 (a)Interest paid
Total amount repaid - Initial loan amount= 5640.48 - 5000= $640.48 (b)Evaluate f(x + 1) when f(x) = 2:02 2c2 - 42 - 2 4x (Be sure to simplify your answer)
f(x+1)
2(x+1)²-4(x+1)-22(x²+2x+1)-4x-4-22x²+4x+2-4x-4-22x²-4Write the phrase “the sum of 3 times a number and 5” as a mathematical expression.
Answer:
[tex](3*x)+5[/tex]
Step-by-step explanation:
Let the variable x equal "a number"
The phrase times means we multiply the variable x by the constant 3.
The phrase sum of means we add the constant 5 to the term (3 * x).
[tex](3*x)+5[/tex]
Answer: 3x + 5 that's the answer i had to type this cause the answer was to short to post lol
Devi rides the bus to her grandmother’s house every day. She tracked how many minutes the bus rides took for one week:
Calculate the mean, median, range, and midrange of the bus ride times for a week.
Answer:
Noone can answer it if you dont give us the numbers
Step-by-step explanation:
A quality analyst wants to construct a sample mean chart for controlling a packaging process. He knows from past experience that whenever this process is in control, package weight is normally distributed with a mean of 20 ounces and a standard deviation of two ounces. Each day last week, he randomly selected four packages and weighed each: Day Weight (ounces) Monday 23 22 23 24 Tuesday 23 21 19 21 Wednesday 20 19 20 21 Thursday 18 19 20 19 Friday 18 20 22 20 What is the sample mean package weight for Thursday
Using it's concept, it is found that the sample mean package weight for Thursday is of 19 ounces.
What is the mean of a data-set?The mean of a data-set is given by the sum of the observations divided by the number of observations.
For Thursday, the package weights in ounces are given by: {18, 19, 20, 19}.
Hence, the sample mean in ounces is of:
M = (18 + 19 + 20 + 19)/4 = 19.
More can be learned about the mean concept at https://brainly.com/question/24628525
Question
A pole that is 3 m tall casts a shadow that is 1 m long. At the same time, a nearby tower casts a shadow that is 44.5 m long. How tall is the tower?
Answer: 1,33.5 m
Step-by-step explanation:
We can set up a proportion to solve. I will have the length of the pole / tower on the top (numerator), and the length of the shadow on the bottom (denominator). All units will be in m.
[tex]\frac{3}{1} =\frac{x}{44.5}[/tex]
Now, I will cross multiply and solve for x. This will give us the height of the tower.
x * 1 = 3 * 44.5
x = 133.5 m
Find the value of the given trigonometric function.
cos 420°
Recall that cos(x + y) = cos(x) cos(y) - sin(x) sin(y). So
cos(420°) = cos(360° + 60°)
cos(420°) = cos(360°) cos(60°) - sin(360°) sin(60°)
cos(420°) = cos(60°)
since cos(360°) = 1 and sin(360°) = 0. Then
cos(420°) = cos(60°) = 1/2
If you owned 2,000 shares of Exxon Mobile stock, how much dividend did you receive? Use the stock table below to find
your answer.
Name
Exxon Mobil
Symbol
XOM
Close
$82.80
Day Range
$82.47-$83.23
52-Week Range $80.30-$95.55
Volume
7,513,630
P/E
34.50
Dividend
$3.08
Dividend Yield
3.7%
EPS
$2.40
Answer:
$6,160
Step-by-step explanation:
The total amount of dividend received is the product of the number of shares and the dividend per share:
(2000 shares) × ($3.08/share) = $6,160.00 . . . dividend received
enter the value 2³ - 16 divided by 2 + 5²
Answer: 2^3 - 16 : 2 + 5^2 = 25/1 = 25
Step-by-step explanation:
Exponentiation: 2 ^ 3 = 8Divide: 16 / 2 = 8Subtract: the result of step No. 1 - the result of step No. 2 = 8 - 8 = 0Exponentiation: 5 ^ 2 = 25Add: the result of step No. 3 + the result of step No. 4 = 0 + 25 = 25
NO LINKS!!
Mark Wolfman is the director of safety at Waterworld. He needs to order a new wire for the tallest tower in the park. One end of the wire is attached to the top of the tower and the other end is attached to stake in the ground that is 44 feet away from the base of the tower. The wire makes a 78 degree angle with the flat ground. How much wire will he need?
Answer: Approximately 211.628311 feet of wire is needed
==========================================================
Explanation:
Draw out a right triangle with 44 as the horizontal component. The angle 78 is the angle of elevation right next to the horizontal side.
Let x be the length of the wire needed. This is the hypotenuse of the triangle.
Use the cosine ratio to say the following:
cos(angle) = adjacent/hypotenuse
cos(78) = 44/x
x*cos(78) = 44
x = 44/cos(78)
x = 211.628311 feet approximately
Round this value however you need to.
Answer:
211.63 ft (nearest hundredth)
Step-by-step explanation:
**Refer to the attached diagram**
We need to find the hypotenuse of the right triangle.
To do this, we should use the cos trig ratio:
[tex]\sf cos(\theta)=\dfrac{A}{H}[/tex]
where:
[tex]\theta[/tex] is the angleA is the side adjacent to the angleH is the hypotenuseGiven:
[tex]\theta[/tex] = 78°A = 44 ftH = wSubstitute given values into the equation and solve for w:
[tex]\sf \implies cos(78)=\dfrac{44}{w}[/tex]
[tex]\sf \implies w=\dfrac{44}{cos(78)}[/tex]
[tex]\sf \implies w=211.6283112[/tex]
Therefore, the length of wire needed is 211.63 ft (nearest hundredth)
help please and ty lol
Answer:
A=35.5 degrees
Step-by-step explanation:
Check out the photo. Leave a comment if anything's not clear.
In the data set below, what are the lower quartile, the median, and the upper quartile?
The median, upper and lower quartiles of the data set are:
Lower Quartile = 46
Median = 49
Upper Quartile = 90
What is the Median?The center value or middle value of a data set is the median.
What are the Upper and Lower Quartiles?Upper quartile (Q3) is the center or middle data point of the second half of a data set.
Upper quartile (Q3) is the center or middle data point of the second half of a data set.
Order the data set given as:
32, 46, 49, 49, 77, 90, 96
Lower Quartile = 32, (46), 49, 49, 77, 90, 96 = 46
Median = 32, 46, 49, (49,) 77, 90, 96 = 49
Upper Quartile = 32, 46, 49, 49, 77, (90,) 96 = 90
Learn more about the Median, Upper and Lower Quartiles on:
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John was at the store and he saw his favorite video game
Answer:
That's cool
Step-by-step explanation:
Answer:
Thats cool and all but whats the wuestion
Step-by-step explanation:
In the accompanying diagram of a unit circle, the ordered pair (x, y) represents the point where the terminal side of θ intersects the unit circle. If θ = 150°, what is the value of x?
Answer:
(-[tex]\sqrt{3\\}[/tex]/2,1/2);(-x,y)
Step-by-step explanation:
use the 1, root 3, 2 trick. 150's reference angle is 30 as q2 = 180-x
1 is the opposite here, 2 is always hypotenuse, root 3 is adjacent here
x value is based on cos = CAH
it's minus because in q2 angles are (-x,y)
hope that helps
Ann has some dimes and quarters. If she has 11 coins worth a total of $2.00, how many of each type of coin does she have?
Answer:
5.5 maybe i guess its fun
What is the value of the expression below?
(-8) 2/3
Answer:
Step-by-step explanation:
Step 1: Multiply the numerator
[tex](-8) * 2/3[/tex]
[tex](-8 * 2)/3[/tex]
[tex]-16/3[/tex]
Answer: [tex]-16/3[/tex]
Find the slope and y−intercept of the line in the graph. Express the answers as simplified fractions, if necessary.
The slope is m =
The y−intercept is b =
The slope is m = 3.5; and the y-intercept is b = -6
Determining slope and y-intercept of a LineFrom the question, we are to determine the slope and the y-intercept of the line.
The slope of a line can be determine by picking any two points on the line.
Then applying the formula,
[tex]m =\frac{y_{2} -y_{1}}{x_{2}-x_{1}}[/tex]
Where m is the slope
Picking the points (2,1) and (0,-6).
∴[tex]x_{1} = 2[/tex]
[tex]x_{2} = 0[/tex]
[tex]y_{1}=1[/tex]
[tex]y_{2}=-6[/tex]
Then, the slope of the line in the graph is
[tex]m = \frac{-6-1}{0-2}[/tex]
[tex]m =\frac{-7}{-2}[/tex]
m = 3.5
For the y-intercept
The y-intercept is the point where the graph intersects the y-axis
From the graph,
The point where the line intersects the y-axis is -6.
∴ y-intercept, b = -6
Hence, the slope is m = 3.5; and the y-intercept is b = -6
Lear more on determining slope and y-intercept here: https://brainly.com/question/1280589
[tex]-35x^{6}=(-5x^2)(B)[/tex]
Find the missing factor of B that makes this equation true
Solve for kkk.
8(10-k)=2k8(10−k)=2k
Answer:
k = 8
Step-by-step explanation:
We know that 8(10-k) = 2k so:
8(10−k)=2k
Simplify both sides of the equation:
8(10−k)=2k
(8)(10)+(8)(−k)=2k
80+−8k=2k
−8k+80=2k
Subtract 2k from both sides:
−8k+80−2k=2k−2k
−10k+80=0
Subtract 80 from both sides:
−10k+80−80=0−80
−10k=−80
Divide both sides by -10:
[tex]\frac{-10k}{-10} =\frac{-80}{-10}[/tex]
k = 8
What is the surface area of each solid pyramid? Round answers to the nearest square unit.
Please explain how to solve the problem, not just the answer.
Answer:
The total surface area is
57ft^2.
Question 13 of 14
Phillipa rode her bicycle every day over the weekend. Phillipa rode [(13.5 + 8.5) ÷ 2]
miles on Friday, [18 − (2 × 4)] miles on Saturday and [20 − (5 − 3)]
miles on Sunday.
On which day did Phillipa ride her bicycle the most?
She rode her bicycle the most on .
Answer:
Sunday
Step-by-step explanation:
Friday
[(13.5 + 8.5) ÷ 2] = [(22) ÷ 2] = 22 ÷ 2 = 11 miles
Saturday
[18 − (2 × 4)] = 18 - (8) = 18 - 8 = 10 miles
Sunday
[20 − (5 − 3)] = 20 - (2) = 18 miles
18 > 11 > 10
Then She rode her bicycle the most on Sunday
Try:
Rereading your lessons, getting help from your tutor or others.
Answer:
Sundays
Hope this helps and don't forget to hit the thanks button! <3
Written by: RiBu
THE ANSWER IS SUNDAYS.
12. An empty avocado crate weighs 4.2 kg. How many avocados weighing 0.3 kg each can be added before the total weight of the crate reaches 15.0 kg?
1. Oscar and Eli set up a lemonade stand. If they have prepared 2 1/2 gallons of lemonade, how many 1-cup servings can they sell? A) 10 B 20 C
40 D 80
Answer:
40 cups
Step-by-step explanation:
There are 16 cups in one gallon. So 16 * 2 1/2 = 40
17,18,22,31,47, ... what's next
Answer:
Step-by-step explanation:
First establish the pattern. Notice the sequence of numbers below. These are the ones making up the pattern. You can go as far as 47 - 31 which gives 16 which is 4^2.
18 -17 = 1 = 1^2
22 - 18 = 4 = 2^2
31 - 22 = 9 = 3^2
47 - 31 = 16 = 4^2
=================
Call the number comming x. 47 taken from x must give 5^2 which is 25
x - 47 = 5^2
x - 47 = 25 Add 47 to both sides
x -47 + 47 = 25 + 47
x = 72
=================
72 -47 = 25 which is 5^2.
Answer: The next number is 72
I’ll give BRAINLIEST
Helen is N year old. Helen’s Brother is a year older than her.
a. Write n algebraic expression for the age of Helen’s brother
b. Find her brother’s age if Helen is age 12
C. Find her brothers age If Helen is x years old
Answer:
[tex] \fbox{ \sf A) Age of Helen’s brother = N+1} \\ \fbox{ \sf B) Age of Helen’s brother = 13 \: year \: old} \\ \fbox{ \sf C) Age of Helen’s brother = x+1} [/tex]
Step-by-step explanation:
Given:
Helen's age = N year old
Helen's brother = One year older than helen
To find:
a. Write n algebraic expression for the age of Helen’s brother
b. Find her brother’s age if Helen is age 12
C. Find her brothers age If Helen is x years old
Solution:
A)algebraic expression for the age of Helen’s brother = Helen’s age + 1 = N+1
[tex]\fbox{Age of Helen’s brother = N+1}[/tex]
B) if helen is 12 year old then, N = 12
substituting the value of N in above equation,
Age of Helen’s brother = N+1 = 12+1 = 13 y/o
[tex]\fbox{Age of Helen’s brother = \: 13 \: year \: old}[/tex]
C) if helen is x year old then, N = x
substituting the value of N in above equation,
Age of Helen’s brother = N+1 = x+1
[tex]\fbox{Age of Helen’s brother = x+1}[/tex]
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