Answer:
[tex]3b(2n-5)(5n-2)[/tex]
Step-by-step explanation:
First we can factor out a 3b from each of the terms.
[tex]30n^2b-87nb+30b \\ \\ 3b(10n^2-29n+10)[/tex]
Then, we can factor this out.
[tex]3b(10n^2-29n+10) \\ \\ 3b(2n-5)(5n-2)[/tex]
And you'll get your answer!
Answer:
3b(2n-5)(5n-2)
Step-by-step explanation:
to solve 30n²b - 87nb +30b, we would need to factor out a common term among them
the entire expression has the number 3 in common, as they are all factors of 3. each term has the letter b included as well, so we can factor out 3b from the expression
3b(10n² - 29n + 10)
now we can factor the expression 10n² - 29n + 10. there are many ways we can factor this. i am choosing to factor by grouping, which means breaking down the expression into 4 terms and factoring each term.
to break this down, we can write -29n as a difference. the expression looks as follows:
3b(10n² - 4n - 25n + 10)
now we seperate the new expression into 2 groups with 10n² - 4n being their own group, and -25n + 10 being another
we will now factor 10n² - 4n. both have 2n in common, so we will factor that out:
2n(5n - 2)
next is -25n + 10, both have 5 in common, but we want the factorization of -25n + 10 to be equal to 5n - 2. to do this, we would factor out a -5 to get a -2 out of 10
-5(5n - 2)
the expression looks like the following:
3b(2n(5n-2) -5 (5n-2)) < we can drop a 5n - 2 since there are 2 of them and combine 2n - 5 as another factor of the expression. the fully simplified expression looks like the following:
3b(2n-5)(5n-2) is our answer
Simplify the product using distributive property 5(x+3) show work
Answer:
Step-by-step explanation:
5(x + 3) Remove the brackets.
5*x + 3*5 Combine
5x + 15
Answer:
[tex]\huge\boxed{\sf{5x+15}}[/tex]
Step-by-step explanation:
Hello.
I hope you remember that the Distributive Property states that
a(b+c)=ab+ac :)
If not, no worries!
Let's simplify this expression:
[tex]\sf{5(x+3)[/tex]
[tex]\sf{5x+15[/tex]
Steps:
I distributed 5 by multiplying it times x and 3 and adding the products.
I hope it helps & have an outstanding day.
[tex]\boxed{imperturbability}[/tex]
In a triangle if two angles measure 65 degrees and 25 degrees, what is the measure of the third angle and what is the type of triangle?
Answer
90 degrees , it's a right angled triangle
Step-by-step explanation:
180 - 65 - 25 = 90
The sum of all the interior angles of a triangle equals 180 degrees
a right angled triangle has one 90 degree angle and two different angles
Answer:
The measurement of the third angle is 90 degrees
Step-by-step explanation:
There are 180 degrees in a triangle.
180 - 65 = 115 - 25 = 90
It is a right angled triangle
Factorise x^2+14x+24 PLS HELP
Answer:
(x + 12)(x + 2)
Step-by-step explanation:
In order to factorize, we first have to break the term in the middle into two terms which add up to 14 and and multiply to 24.
For this, let's take a look at the factor pairs of 24. We have (1, 24), (2,12), (3, 8), (4, 6).
note that the 2nd pair works. 2 + 12 = 14, 2*12 = 24.
And now we rewrite the expression.
x^2 + 14x + 24
= x^2 + 12x + 2x + 24
Take out common factors as below
= x(x + 12) + 2(x + 12)
Note that (x+12) is a common factor in the 2 added expressions. So we take it out.
= (x+12)(x+2)
Done!!! Hope it helps, and if it does, please mark me brainliest...
factor the expression and find the zeros h(x)=2x2−11x+15
Answer:
Step-by-step explanation:
(2x-6)(2x-5)
2(x-3)(2x-5)
^ fully factored
x-3=0 2x-5=0
x=3 2x=5
x=5/2
Which savings account can a financial institution end?
A.
money market account
B.
youth savings account
C.
credit union account
D.
callable certificate of deposit
Credit union account
The savings account can a financial institution end is callable certificate of deposit. option D
How to determine the accountFinancial institutions have the right to terminate these accounts under certain circumstances, as outlined in their terms and conditions.
Reasons for termination may include customer inactivity, violation of account policies, changes in the institution's product offerings, or regulatory requirements.
Customers should carefully review the account agreements and be aware of any potential fees or penalties associated with account closure.
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Use the figure below to find the short leg HELP PLZZ
Answer:
The short leg is 7 because half of 14 is 7 and the hypotenuse is always twice as long as the shortest one.
The required short leg is 7inches.
Given that,
Hypotenuse = 14 inches,
In triangle 30-60-90
We have to determine,
By using figure find the short leg.
According to the question,
A 30-60-90 triangle is a special right triangle whose angles are 30º, 60º, and 90º.
The triangle is special because its side lengths are always in the ratio of 1: √3:2.
The 30-60-90 triangle rule is for finding the the lengths of two sides when one side is given.
The shorter side is opposite the 30 degree angle, the longer side is opposite the 60 degree angle, and the hypotenuse is opposite the 90 degree angle.
Therefore,
The hypotenuse is always twice as long as the shortest one.
Where, Hypotenuse = 14inches
Then,
[tex]Hypotenuse = 2 \times short \ leg \\\\14 = 2 \times short \ leg\\\\short\ leg = \dfrac{14}{2}\\\\short \ leg = 7[/tex]
Hence, The required short leg is 7inches.
To know more about Pythagoras theorem click the link given below.
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Which is the correct solution to the expression 3 + 5 ^ 2? Use the scientific calculator given in this course
Answer:
28
Step-by-step explanation:
Using PEMDAS (or something similar) start off with the exponent.
5^2 would equal 25 since it is multiplying 5 by itself.
Then, you would add 3 to 25 making the answer 28.
For this case we must find the value of the following expression:
[tex]3 + 5 ^ 2 =[/tex]
We have that, replacing in a calculator:
[tex]5 ^ 2 = 5 * 5 = 25[/tex]
Rewriting the expression we have:
[tex]3 + 25 =[/tex]
Equal signs are added and the same sign is placed:
[tex]3 + 25 = 28[/tex]
Answer:
[tex]3 + 5 ^ 2 = 28[/tex]
which equation represents the line that passes through the point (1,-5) and has slope of -2? explain and show your work ) A. y= -2x+7 B. y= -2x+11 C. y=-2x-9 D. y= -2x-3
Answer:
D) y = -2x -3
Step-by-step explanation:
1. Create a slope-intercept equation: y = -5, m = -2, x = 1
y = mx + d -> y = -2x + d -> -5 = -2(1) + d
Solve: -5 = -2 + d --> d = -3
So, the y-intercept is -3. Putting that into our equation gives us y = -2x -3
Let f(x)=x^2+1. Let g(x)=(x+2)^2+1. Which statement described the graph of g(x) with respect to the graph of f(x)?
compressed vertical by a factor of 2
translated left 2 units
translated right 2 units
compressed horizontal by a factor
Answer:
translated left by 2 units
Step-by-step explanation:
Given y = f(x) then
y = f(x ± a) represents a horizontal translation of a units
• If + a then a shift of a units to the left
• If - a then a shift of a units to the right
Hence
g(x) is the graph of f(x) translated 2 units to the left
The function g(x) = (x+2)^2 + 1 is a transformation of the function f(x) = x^2 + 1. It represents a translation of the graph of f(x) to the left by 2 units.
Explanation:The function g(x) = (x+2)^2 + 1 is a transformation of the function f(x) = x^2 + 1. Particularly, it's a horizontal shift, not a compression or stretching of the graph. By comparing coefficients, we infer that the +2 inside the parentheses on g(x) represents a shift of the graph of f(x) to the left by 2 units. This is because the rules of transformations dictate that h(x) = (x - h)^2, where h represents a shift to the right, and h(x) = (x + h)^2 represents a shift to the left. Therefore, the correct statement is that the graph of g(x) is translated left 2 units compared to the graph of f(x).
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help !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
B
Step-by-step explanation:
It looks like w = 0 which is the value of the x intercept.
If that is so, there was 2500 dollars in the safe to being with.
answer b//////////////////
kyle jogs every 6 days and swims every 4 days. If he jogged and swam today, how many miles until he does both again?
Answer:
12 days
Step-by-step explanation:
Jogging: 6,12,18,24,....
Swimming: 4,8,12,16,20
Looking at the list, the first number in common is 12
The occur together every 12 days
Find the slope of a line parallel to 2x-y=18
Answer:
The slope of line parallel to 2x-y = 18 will be 2.
Step-by-step explanation:
Given
The equation of a line : 2x – y = 18
The standard form of an equation of a line in slope-intercept form is:
y=mx+c
So, we will have to convert the given equation in the standard form.
2x-y=18
-y=-2x+18
-y= -(2x-18)
y=2x-18
The coefficient of x in this form is the slope of the line.
So,
m_1=2
We know that slopes of two parallel lines are equal so if the given line has slope 2, all the lines parallel to this line have slope 2..
For this case, we have by definition, if two lines are parallel then their slopes are equal:
[tex]m_ {1} = m_ {2}[/tex]
We have the following equation:[tex]2x-y = 18[/tex]
We rewrite the equation of the form:
[tex]y = mx + b\\2x-18 = y\\y = 2x-18[/tex]
Thus, a parallel line will have a slope [tex]m_ {2} = 2[/tex]
Answer:
[tex]m_ {2} = 2[/tex]
Brainliest to whoever gives the correct answer, no explanation needed
<UST is 30* and I believe <RUS is 30* as well.
which function has a vertex at (2, -9)
Answer:
Where are the answer choices?
Step-by-step explanation:
Answer:
C: f(x) = (x - 5)(x + 1)
Step-by-step explanation:
with the current weather conditions a sailboat can sail 5 1/2 miles in an hour.How far can a sailboat sail in 2/3 hours
Answer:
3 2/3 miles
Step-by-step explanation:
distance = rate times time.
Here,
distance = (5.5 mph)(2/3 hr) = 3 2/3 miles
The sailboat can travel 3 2/3 miles in 2/3 hours by multiplying the speed (5 1/2 miles per hour) by the time (2/3 hours) to get the distance.
To determine how far a sailboat can sail in 2/3 hours when it can sail 5 1/2 miles in one hour, we need to perform a multiplication of the speed by the time. The speed of the sailboat is 5 1/2 miles per hour (which is the same as 11/2 miles per hour in improper fraction form), and the time is 2/3 hours.
Here are the steps to calculate the distance:
Convert 5 1/2 miles to an improper fraction: 5 1/2 = (5 times 2 + 1)/2 = 11/2.
Multiply the speed by the time: (11/2) times (2/3) = (11 times 2)/(2 times 3) = 22/6.
Simplify the fraction: 22/6 = 11/3 = 3 2/3 miles.
Therefore, the sailboat can travel 3 2/3 miles in 2/3 hours.
A traffic camera sits on top of a tower that has a height of 50ft., the angles of depression of two cars on a straight road at the same level as that of the base of the tower and on the same side of it are 25° and 40°. Calculate the distance between two cars
Answer:
[tex]\boxed{\text{48 ft}}[/tex]
Step-by-step explanation:
The angle of depression from the camera at D and the angle of elevation from the target cars are congruent.
1. Distance of car A from tower
Consider ∆ACD
tan25 = 50/AC
AC = 50/tan25 = 50/0.4663 = 107.2 ft
2. Distance of car B from tower
Consider ∆BCD
tan40 = 50/BC
AC = 50/tan40 = 50/0.8391 = 59.6 ft
3. Distance from cars A and B
AB = AC – BC = 107.2 – 59.6 = 48 ft
The distance between the two cars is [tex]\boxed{\textbf{48 ft}}[/tex].
In lowest terms, the ratio 10:4 is written as 5:1. True or False?? I need help IMMEDIATELY
False. It would be 5:2
Explanation
10/2=5
4/2=2
So 5:2
Answer:
No, False
Step-by-step explanation:
10:4 is equal to 10/4, and 5:1 is equal to 5/1.
5:1=5
10:4=2.5
2.5=/=5
if 8 is 100% of 100 what is 2 of 100%?
Answer:25%
Step-by-step explanation:
Because 2 is only a quarter of 8 and 25%=quarter from 100%
Answer:
25%
Step-by-step explanation:
Andrea lost her job as an accountant because her company gave the contract for keeping accounts to a firm in Asia. The company did so to reduce the costs, as it could find cheap labor in the Asian countries. Andrea lost her job due to which type of economic activity? A. recession B. inflation C. outsourcing D. depression E. deflation
When a company looks to have someone outside the company do work it is called out sourcing.
The answer is C.
Answer:
The answer is C.
Step-by-step explanation:
Laura earns $225 by working 20 hours each week. Write an equation to find how much Laura earns per hour. Use h to represent the hourly rate.
Answer:
20h=225
Step-by-step explanation:
Answer:
20h=225
Step-by-step explanation:
Find the specified value for the arithmetic sequences with the given characteristics. a17 = 47 d = -3 a35= ?
ANSWER
The 35th term is -8
EXPLANATION
The nth term of an arithmetic sequence is given by
[tex]a_n = a_1 + d( n - 1)[/tex]
We have the 17th term to be;
[tex]a_{17}=47[/tex]
and the common difference is d=-3
We substitute to get:
[tex]47= a_1 + - 3(1 7- 1)[/tex]
[tex]47= a_1 + 16( - 3)[/tex]
[tex]47= a_1 - 48[/tex]
[tex]a_1 = 48 + 47 = 95[/tex]
We can now find the 35th term:
[tex]a_{35}=a_{1} + 34d[/tex]
[tex]a_{35}=95 + 34( - 3) = - 8[/tex]
What is the sum of the infinite geometric series?
Answer: This series would have no last term. The general form of the infinite geometric series is a1+a1r+a1r2+a1r3+... , where a1 is the first term and r is the common ratio.
Step-by-step explanation:
Answer:
[tex]S_{\infty}=\frac{80}{3}[/tex]
Step-by-step explanation:
The sum of an infinite geometric series is given by:
[tex]S_{\infty}=\frac{a}{1-r}[/tex],
The given geometric series is
[tex]\sum_{n=1}^{\infty}32(-\frac{1}{5})^{n-1}[/tex]
The constant ratio for this series is
[tex]r=-\frac{1}{5}[/tex]
The first term of the series is [tex]a=32(-\frac{1}{5})^{1-1}=32[/tex]
The sum to infinity is [tex]S_{\infty}=\frac{32}{1--\frac{1}{5}}[/tex]
[tex]\implies S_{\infty}=\frac{32}{\frac{6}{5}}=\frac{80}{3}[/tex]
Plz help me with this
Answer: C) 11 + 13 + 15 + 17 + ...
Step-by-step explanation:
[tex]\sum\limits^\infty_3 {2x+5}\\\\2(3) + 5\quad +\quad 2(4) + 5\quad +\quad 2(5)+5\quad +\quad 2(6)+5\quad +...\implies 2(\infty)+5\\\\=11\qquad +\qquad 13\qquad \quad +\qquad 15\qquad \quad +\qquad 17\qquad +...[/tex]
Simplify 2x - 8x - 6y + 9 -14 + x + 11y.
A)5x - 5y - 5
B)-5x + 5y - 5
C)5x + 5y + 5
D)-5x - 5y + 5
B: -5x + 5y - 5
Hope this is the answer you're looking for (:
2x - 8x - 6y + 9 - 14 + x + 11y
-6x + x - 6y + 11y - 5
-5x + 5y - 5
So the answer should be B
need helpppppppppp pleaseeeeeeeeeeeeeeeeeeeeeeeeeee
Answer:
320 cubic cm
Step-by-step explanation:
To answer a prism volume question, also see it as a shape (in this case a triangle) that is very thick.
First step is to calculate the area of the shape. We all know the formula to calculate the area of a triangle: (b x h)/2. And we those two measures. The height of the triangle is b (8 cm), the base of the triangle is a (10 cm).
A = (b * h)/2 = (10 * 8) / 2 = 80 / 2 = 40 sq cm
Then we multiply the base area of the prism by its height to get the total volume. In this case, the height is also known, h = 8 cm.
V = b * h = 40 * 8 = 320 cubic cm
Answer:
320
Step-by-step explanation:
The volume of a prism is the height times the area of the base.
V = hA
The base is a triangle. The volume of a triangle is half the base times height.
V = h (½ ab)
Given a = 10, b = 8, and h = 8:
V = ½ (8) (10) (8)
V = 320
which point is located at (4, -2, -3)?
point A
point B
point C
point D
I believe it's letter B
Answer:
Point B
Step-by-step explanation:
In how many ways can eight people line up from left to right for a group photo
The answer is 8! or 40,320.
8*7*6*5*4*3*2*1=40,320
Answer:
Maybe you might want the long 4 people in the back and the tiny one in the ground just on their knees.(not the begging way)
Also have the tall people give piggy back hold from the tall people for the picture that way it will seen fun.
Step-by-step explanation:
It depends on the theme of the photo if it's painting and fun art or fun time with friends I'd prefer the piggy bag one
If a trip or group photo for a travel I'd pick choice one. It depends believe me there is more thank 5 ways too.
PLZZ I'M IN THE NEED OF BRAINLIST MARK ME PLZZZ!!!
It took Jason 3 minutes and 48 seconds to complete a practice page in class. How many total seconds did Jason take to complete the practice page?
Answer: 228
Step-by-step explanation:
3 X 60 = 180
180 + 48 = 228
For this case we have that by definition, one minute equals 60 seconds. Then, we make the conversion:
[tex]\frac {60 \ s} {1 \ m} * 3 \ m = 180 \ s[/tex]
Thus, 3 minutes equals 180 seconds.
Now:
[tex]180 + 48 = 228[/tex]
So, it took Jason 228 seconds to complete a practice page in class.
Answer:
228 seconds
Does anyone know the answer to this question:This histogram shows the numbers of shoppers in various age groups at a clothing store. How many shoppers are at least 20 years old? I WILL MARK BRAINLIEST! PLEASE HURRY!!!!!!!! I NEED AN ANSWER RIGHT NOW!!! IM BEGGING YOU!!!
a: 7
b: 12
c: 13
d:18
There are 13 shoppers aged 20 or older. Calculated by summing frequencies of age groups 20-24 through 35-39. Answer: (c) 13.
Of course, I'm happy to help! To find out how many shoppers are at least 20 years old, we need to add up the frequencies of the age groups that are 20 years old and older. Here are the steps:
1. Identify the age groups that are 20 years old and older.
2. Add up the frequencies (the number of shoppers) for those age groups.
Let's assume the histogram provides age groups in 5-year intervals, starting from 0 to 4 years old, then 5 to 9 years old, and so on.
Let's look at the age groups that are at least 20 years old:
1. 20-24 years old
2. 25-29 years old
3. 30-34 years old
4. 35-39 years old
5. 40-44 years old
We add up the frequencies for these age groups:
1. Frequency for 20-24 years old: 5
2. Frequency for 25-29 years old: 4
3. Frequency for 30-34 years old: 3
4. Frequency for 35-39 years old: 1
5. Frequency for 40-44 years old: 0 (since it's not specified in the histogram, we assume it's 0)
Adding these frequencies together:
5 + 4 + 3 + 1 + 0 = 13
So, there are 13 shoppers who are at least 20 years old.
The answer is (c) 13.
A classroom has more boys than girls, and it has 8 girls. Furthermore, each student in the classroom has at least 2 pencils. Let b represent the number of boys and let p represent the total number of pencils in the classroom.Let's compare the expressions p and 30. Which statement is correct?
Answer:
Choices are:
p>30
p<30
p=30
not enough information to tell
Answer is p>30
Step-by-step explanation:
Since there are more boys than girls, there must be at least 9 boys. Plug into equation: (b+8) represents number of students. If they each have at least 2 pencils we would use 2(b+8). Plugging in 9 for the boys we have: 2(9+8)=?
2(17)=34. So with the minimum number of boys there would be at least 34 pencils, so the answer is p>30
Final answer:
By calculating that p equals 2 times the sum of boys and girls, and that there are at least 9 boys, we find that p (the total number of pencils) must be greater than 30.
Explanation:
To compare the expressions p and 30, let us first define p as the total number of pencils. Since there must be more boys than girls and there are 8 girls, let b represent the number of boys. We can say that b > 8, since there are more boys than girls.
It's also given that each student has at least 2 pencils. Therefore, the minimum total number of pencils p can be calculated by multiplying the total number of students by 2.
This gives us p = 2(b + 8). Because b > 8, let's substitute the minimum number for boys (9), so p = 2(9 + 8) = 34.
Therefore, p > 30.