Factor: 28k^3-24k^2+49k-42
I will give Brainliest to the first person :)
Answer:
(4k^2+7)(7k+6)
Step-by-step explanation:
1. group the first two terms (28k^3-24k^2). The greatest common factor is 4k^2. If you factor that out you get 4k^2(7k-6)
2.When you group the last two terms (49k-42). you can factor out a 7.
7(7k-6).
3. There is a (7k-6) in both sections so you can combine all the terms.
4k^2(7k-6) 7(7k-6) becomes (4k^2)(7k-6)
I need help pronto plssss!!!!
Answer:
-11
Step-by-step explanation:
See the picture for your understanding.
Since a and b are oppoiste angles of 80° and 60° respectively
a = 80°
b = 60°
Since sum of three angles in a triangle is 180°
x + 51 + 60° + 80° = 180°
x = -11
what. is the median of the data set: {24, 31, 12, 38, 12, 15}
Answer:
mas pra vc mandar
[tex]7385[/tex]
The Science Club went on a two-day field trip. The first day the members paid $60 for transportation
plus $11 per ticket to the planetarium. The second day they paid $90 for transportation plus $8 per
ticket to the geology museum. Write an expression to represent the total cost for two days for the
n members of the club.
An expression that represents the total cost in dollars for two days for the n members of the club is
given by
Answer:
day 1 total $60+$15=$75
day 2 total $95+$12=$107
total 2 days = $181
Step-by-step explanation:
Answer:
Total cost for two days for the n members of the club = 155 + 27 n
Step-by-step explanation:
Total number of persons = n
The first day the members paid $60 for transportation plus $15 per ticket to the planetarium.
Day 1 cost = 60 + 15 x n = 60 + 15 n
The second day they paid $95 for transportation plus $12 per ticket to the geology museum.
Day 2 cost = 95 + 12 x n = 95 + 12 n
Total cost = Day 1 cost + Day 2 cost
Total cost = 60 + 15 n + 95 + 12 n = 155 + 27 n
Total cost for two days for the n members of the club = 155 + 27 n
There are sto students in a school. If the number of boys and girls are in the ratio 4:3, find their numbers.
Answer:
number of boys = 320
number of girls = 240
Step-by-step explanation:
Total students in school = 560
Ratio of boys to girls = 4 : 3
Add the ratios together: 4 + 3 = 7
Divide the total by this number: 560 ÷ 7 = 80
Now multiply the original ratio numbers by 80 to find the numbers of boys and girls:
⇒ number of boys = 4 x 80 = 320
⇒ number of girls = 3 x 80 = 240
Total students are 560.
Let boys be 4x and girls 3x[tex]\\ \rm\hookrightarrow 4x+3x=560[/tex]
[tex]\\ \rm\hookrightarrow 7x=560[/tex]
[tex]\\ \rm\hookrightarrow x=80[/tex]
Boys°320Girls=240Vocabulary Check
Write the definition of each.
5. bar graph
6. scale
Carl is standing the top of 35ft cliff looking down at a rock for notion in the sea. He estimates the angle of depression to the formation is 30' . What is the hozonal distance from Carl to the island?
Answer:
70 ft
Step-by-step explanation:
If you draw a diagram, a right triangle is formed from this scenario. Because Carl is directly 35 ft above the ground, this represents the opposite side length in the triangle model. The distance between Carl and island would represent the hypotenuse.
The trig function that corresponds with opposite and hypotenuse legs is Sine.
The equation is sin(30°) = [tex]\frac{35}{h}[/tex]
sin(30) is 1/2. The value of h that would make this equation true is 70. Therefore he is 70 feet away from the island
QUESTION 1 of 10: The cost of a garment was determined to be $12. 50. You have been instructed to lower the cost to $10 per garment. What
is percentage you were asked to reduce the cost by?
Answer:
20%
Step-by-step explanation:The answer is minus 2.50 so if you plug 12.50 times .2 you get your answer
The percentage reduction is 20% if the cost of a garment was determined to be $12. 50.
What is the percentage?It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.
It is given that:
The cost of a garment was determined to be $12. 50. You have been instructed to lower the cost to $10 per garment.
The difference in cost = 12.50 - 10
The difference in cost = $2.50
The percentage reduction = (2.50/12.50)100
The percentage reduce = 20%
Thus, the percentage reduction is 20% if the cost of a garment was determined to be $12. 50.
Learn more about the percentage here:
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Sam Kramer earns an annual salary of $38,900. He is paid semimonthly. His personal exemptions total $4826. The state income tax on taxable wages is 2% of the first $1000, 3% on the next $3000, 3. 5% on the nest $3000, and 4% on the amount over $7000. How much is deducted from Sam’s salary each pay period for state income tax?
Step-by-step explanation:
we pay taxes of the income without the exemptions.
so, the tax-interresting amount is
38,900 - 4826 = $34,074
2% of the first $1000 = $20
$34,074 - 1000 = $33,074
3% of the next $3000 = $90
$33,074 - 3000 = $30,074
3.5% of the next $3000 = $105
$30,074 - 3000 = $27,074
4% of $27,074 = $1,082.96
so, in total he pays state taxes over a year
20+90+105+1082.96 = $1,297.96
now, he gets paid semimonthly, that means twice a month.
his salary but also his deductions (incl. tax deductions) are all split across these 24 paychecks per year.
so, each state income tax deduction is then
$1,297.96 / 24 = $54.08 on every paycheck.
Define an action adder :: io () that reads a given number of integers from the key board, one per line, and displays their sum. For example:.
The program is an illustration of loops
What are loops?Loops are program statements that are used to perform repetition
The main programThe program written in Python, where comments are used to explain each line is as follows:
#This initializes sum to 0
summ = 0
#This gets input for the first number
num = int(input())
#This is repeated while num is not -1
while num!= -1:
#This calculates the sum
summ+=num
#This gets input for the num
num = int(input())
#This prints the sum
print(summ)
Read more about loops at:
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to make a rectangle one pair of opposite sides of a square was made 50% longer and the other pair of opposite sides was made 50% shorter. What percent of the squares area is the area of the new rectangle
Answer:
The answer to ur question is probably 100%
Complete the remainder of the table
Answer:
_3
_6/3+4=2
0=2*0/3+4=0
3=2*3/3+4=6
6=2*6/3+4
About what percent of the total area of Hal’s backyard is the area taken up by the patio, walkway, and garden? Round to the nearest whole percent
(Due by today)
Answer:
60%
Step-by-step explanation:
The total area is 136ft^2
We know this because the length of Hal's Backyard is 8+9 ft. This is a total of 17 ft in length. The width is 5+3 ft. This is a total of 8ft. Multiplying the length by the width gets us: 17ft*8ft = 136ft^2.
Now we need to find the ft^2 taken up by the padio, walkway, and garden. - We can see the image the patio is 5ft by 8ft. This is a total of 40ft^2.
- We can see the image of the garden is 3ft by 6ft. This is a total of 18ft^2
- We can see the image of the walkway is 3ft by 8ft. This is a total of 24ft^2
This adds up to a total of 82ft^2: 40ft^2+18ft^2+24ft^2 = 82ft^2
Now, to find the percentage, we divide the area of the patio, walkway, and garden by the total area:
[tex]\frac{82ft^2}{136ft^2}[/tex]
=
60%
So Hal's patio, walkway, and garden make up 60% of the total area of his backyard.
Hope this helps! :3
Some number added to 5 is equal to -11. What is the number?
Answer:-16
Step-by-step explanation:x + 5= -11
isolate x by subtracting 5 on both sides
x=-16
solve p(x)= 2x^4-3x^3-6x^2+5x+6
Answer:
Three solutions were found :
x = 3/2 = 1.500
x = 2
x = -1
Step-by-step explanation:
going as a ratio in simplest form: 500g to 2kg
a fast food restaurant sold 63 burgers with cheese. if the ration of burgers sold with cheese compared to without cheese was 7 : 9, how many burgers did they sell total?
Answer:
441
Step-by-step explanation:
63 multiplied by 7 gives us 41
helllppppp meee please
Answer:
Option B is the correct answer
Step-by-step explanation:
Hope it helps you in your learning process.
[tex]\tan 30\degree=\frac{17}{x}[/tex]
[tex]\implies\frac{1}{\sqrt 3}=\frac{17}{x}[/tex]
[tex]\implies\huge{\red{ x={17\sqrt 3}}}[/tex]
[tex]\sin 30\degree=\frac{17}{y}[/tex]
[tex]\implies\frac{1}{2}=\frac{17}{y}[/tex]
[tex]\implies\huge{\purple{ y={34}}}[/tex]
Answer:
B
Step-by-step explanation:
It would be using the law of sines.
a stadium holds 72,000 people. each selection has the same number of seats. which expression shows how many seats are in each section?
(answer choices)
a. 72000-s
b. s/720000
c. 72000+s
d. |
v
[tex] \frac{72000}{s} [/tex]
Answer:
72000/s
Step-by-step explanation:
In order to find the number of seats in each section, think of 72000 people as the total number of people that need a seat.
If you want to find how many people can go to each section evenly, you need to divide the number of people by the number of sections.
Now that the same number of people are going to each section, this will give you the number of seats in each.
hope this helps!
tommy went to frosty and bough fruit slushies for $0.75 each and cones for $1 each. He spent a total of $12.75 and bought 15 total items. How many of each item did he buy?
Answer:
9 fruit slushies; 6 cones
Step-by-step explanation:
Let f = number of fruit slushies.
Let c = number of cones.
c + f = 15
c + 0.75f = 12.75
0.25f = 2.25
f = 9
c + f = 15
c = 6
Answer: 9 fruit slushies; 6 cones
What is the radius of a circle with the equation x2 y2 – 14x 10y = 250?.
Answer:
Step-by-step explanation:
x² + y² - 14x - 10y = 250
(x² - 14x) + (y² - 10y) = 250
Divide the co efficient of x by 2 ⇒ 14÷2 = 7
Divide the co efficient of y by 2 ⇒ 10÷ 2 = 5
Now, add 7² and 5² to both sides of equation. {addition property of equality}
(x²- 2*7x + 7²) + (y² - 10y + 5²) = 250 + 7² + 5²
(x - 7)² + (y - 5)² = 250 +49 + 25
(x -7)² + (y - 5)² = 324
(x -7)² + (y - 5)² = 18²
Radius = 18
In circle F with m EFG = 48 and
EF = 15 units, find the length of arc EG.
Round to the nearest hundredth.
Answer:
12.57 units
Step-by-step explanation:
i put the explanation in the picture because i didnt know how to put it in here
The length of arc EG is 12.56 units.
What is an arc length of a circle?The arc length of a circle is the distance between two points on the curve of the circle.
We have,
Arc length = (angle/360) x (2πr)
Now,
From the circle,
EF = r = 15 units
m∠EFG = angle = 48
Substituting.
Arc length
= (angle/360) x (2πr)
= 48/360 x 2π x 15
= 12.56
Thus,
The length of arc EG is 12.56 units.
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If the dot product of two nonzero vector v1 and v2 is zero, what dose this tell us
It means that the two vectors are perpendicular or orthogonal
Jeremy walked around a football field.
Which statement explains whether the example describes area or perimeter?
O A. area, because he walked the entire space inside the football field
O B. perimeter, because he walked the entire space inside the football field
O c. area, because he walked the distance around the outside of the football field
D. perimeter, because he walked the distance around the outside of the football
Jeremy walked around a football field.
Jeremy walked around a football field.Which statement explains whether the example describes area or perimeter?
○ perimeter, because he walked the distance around the outside of the footballJeremy walked around the football field. Which keans that he covered only the boundaries and we know that perimeter is the sum of length of the boundary but area is the complete sum of shape including boundary...~
Find the range of values for which x25x + 6 < 0
I hope this helps you! God Bless and have a great day!
:)
Mr Sosha teaches 4 math classes, with the same number of students in each class. Of those students , 80 are sixth graders and 40 are fifth graders. Write an equation to determine whether there 22, 25, or 30 students in each class. How many are in each class?
Answer:
30
Step-by-step explanation:
80 + 40 = 120
120 represents the total students for all 4 classes. And since there is an even amount in each class...
120 / 4 = 30
So 30 would be your answer.
Select the expression that represents the following statement: The sum of 6 and 8 multiplied by 4.
Answer:
It could be these
Step-by-step explanation:
• means times/multiplied, number right by parenthesis means multiply that by the answer of what is in the parenthesis
(6+8) • 4
4(6+8)
4 + (6•8)
A and C are right angles. p =
degrees.
Answer
Find out the m∠p .
To prove
As in ΔDAB is a right triangle
Apply pythagorean theorem
Hypotenuse ² = Perpendicular ² + Base²
DB² = AB² + AD²
AB = 5 units
AD = 6 units
Put in the above formula
DB² = 5² + 6²
= 25 + 36
= 61
= 7.8 units (approx)
Now in ΔDCB is a right triangle .
By using the trignometric identity .
As DC = 4 units
DB = 7.8 units (approx)
Put all the values in the trignometric identity .
∠p = 59.15 ° (approx)
what is 950% as a fraction
Answer:
9 1/2
Step-by-step explanation:
[tex]\frac{950}{100}=9\frac{50}{100} = 9 \frac{1}{2}[/tex]
HELP NOWWWWWW!!!!!!!!
Answer:
[tex]x=65[/tex]
Step-by-step explanation:
In this case, we can determine the two given angles are vertical angles using the diagram. This means that they are congruent, or equal.
We can use this information to set up an equation:
[tex]145=2x+15[/tex]
Subtract 15 from both sides:
[tex]130=2x[/tex]
Divide both sides by 2
[tex]x=65[/tex]
