Answer:
30000
Step-by-step explanation:
ILL GIVE BRAINLIEST
find the value of the constant a for which there is no term in x² of the expansion of (1+ax) (2+3x)³
Answer:
a = -3/2 = -1.5
Step-by-step explanation:
(1+ax) (2+3x)³
Formula
(a+b)^3=a^3+3a^2b+3ab^2+b^3
(1 + ax) [ 2^3 + 3*2^2*3x + 3*2*(3x)^2 + (3x)^3]
(1 + ax) [ 8 + 12*3x + 6*9x^2 + 27x^3]
8 + 12*3x + 6*9x^2 + 27x^3 + 8ax + 36ax^2 + 54ax^3 + 27ax^4
coefficient of x^2 is zero
54x^2 + 36ax^2
54 + 36a = 0
36a = -54
a = -3/2
Mr. and Mrs. Ramirez both have jobs for which 22% of their earnings are taken out of their paychecks for taxes. How much would they need to earn together per month before taxes to have enough income to cover all the expenses in their budget?
Answer:
ñ
Step-by-step explanation:
ñ
Solve the equation for the given variable
1/2 +y= 2/3
A) y=1/6
B) y=1/3
C) y=1/3
D) y=1 1/6
Answer:
y= (2/3)-(1/2)
= (4-3)/6
= 1/6
=> A
Step-by-step explanation:
Please help me with this question
Answer:
For every 3 dollars donated, one puppy is adopted
Step-by-step explanation:
so rise would be money, run would be number of puppies adopted
Maria paid $2.85 for 3
pounds of apples. How
much did it cost for one
pound of apples?
Answer:
$0.95
Step-by-step explanation:
Since it cost $2.85 for 3 pounds of apples, dividing 2.85 by 3 will give us one pound of apples.
2.85/3 = $0.95
Hope this helps! Please comment if it does or not. :)
Sixty percent of those present at the performance were neophytes. If 200 present were not neophytes, how many people attended the performance?
Answer:
450
Step-by-step explanation:
I do mental math. I think this is right if not then I am sorry
GIVING 10 POINTS, BRAINLIEST, FIVE STARS AND THANKS! (Please answer correctly:))
Alan deposited $300 into a savings account. At the end of the first year the amount of money in the account had increased to $336. At the end of the second year he had $420. Find the percent increase in the amount of money in his savings account from the end of the first year to the end of second year
Answer:
12%
Step-by-step explanation:
You subtract 336 from 300 which will give you 36, then you divide 36 by 300 and you will get .12 which is 12%
Matt weighed 60 pounds when he was 8 .
He now weighs 80 pounds.
Find the percent of increase in weight rounded to the nearest tenth
Answer:
Step-by-step explanation:
Old weight = 60 pound
New weight = 80 pound
Finding:
Percent of increase in weight
Therefore:
Percent of expansion in weight = [(New weight - old weight)/Old weight]100
Percent of expansion in weight = [(80 - 60)/60]100
Percent of expansion in weight = [(20)/60]100
Percent of expansion in weight = 33.33% Approx.
If A ⊂ B, then A ∩ B = ∅.
true
false
Answer: false
Step-by-step explanation:
Budgets
Terrance budgets $435 of his salary for car expenses. His salary is $2,900. What percent of his salary is
budgeted for car expenses?
Answer:
15%
Step-by-step explanation:
a. Write the linear system as a matrix equation
in the form AX= B.
b. Solve the system using the inverse that is given for the coefficient matrix.
PLEASE HELP WILL GIVE A LOT OF POINTS!!
a) The linear system as a matrix equation in the form AX= B as
[tex]\left[\begin{array}{ccc}-1&1&1\\0&-2&-1\\2&1&0\end{array}\right][/tex] [tex]\left[\begin{array}{c}x\\y\\z\end{array}\right][/tex] = [tex]\left[\begin{array}{c}0\\-2\\4\end{array}\right][/tex]
b) The solution set is {x = 2, y = -4, z = -2}.
Given that A⁻¹ = [tex]\left[\begin{array}{ccc}-1&1&1\\2&-2&-1\\-4&3&2\end{array}\right][/tex],
To find the matrix equation in the form AX = B, multiply both sides of the equation by A⁻¹:
A⁻¹(A⁻¹X) = A⁻¹B
X = A⁻¹B
Therefore, the linear system as a matrix equation in the form AX = B is:
[tex]\left[\begin{array}{ccc}-1&1&1\\0&-2&-1\\2&1&0\end{array}\right][/tex] [tex]\left[\begin{array}{c}x\\y\\z\end{array}\right][/tex] = [tex]\left[\begin{array}{c}0\\-2\\4\end{array}\right][/tex]
2. The given system of equations can be represented as:
A = [tex]\left[\begin{array}{ccc}-1&1&1\\0&-2&-1\\2&1&0\end{array}\right][/tex]
X = [tex]\left[\begin{array}{c}x\\y\\z\end{array}\right][/tex]
B = [tex]\left[\begin{array}{c}0\\-2\\4\end{array}\right][/tex]
Using the given inverse of A:
A⁻¹ = [tex]\left[\begin{array}{ccc}-1&1&1\\2&-2&-1\\-4&3&2\end{array}\right][/tex]
Multiply A⁻¹ by B to solve for X:
[tex]X = A^{(-1)} B[/tex]
[tex]\left[\begin{array}{c}x\\y\\z\end{array}\right][/tex] = [tex]\left[\begin{array}{ccc}-1&1&1\\2&-2&-1\\-4&3&2\end{array}\right][/tex] [tex]\left[\begin{array}{c}0\\-2\\4\end{array}\right][/tex]
Performing the matrix multiplication:
| x | = | (-1)(0) + (1)(-2) + (1)(4)| | 2 |
| y | = | (-2)(0) + (3)(-2) + (2)(4)| | -4 |
| z | | (2)(0) + (-2)(-2) + (-1)(4)| | -2 |
Therefore, the solution set is {x = 2, y = -4, z = -2}.
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Sara has 26 books in her library. She bought several books at a yard sale
over the weekend. She now has 96 books in her library. How many books
did she buy at the yard sale ?
Answer:
96-26=70 books she bought at the yard sale
Find the area of the polynomial:
A.) 6a^3 + 12a^2 − 15a
B.) 6a^3 + 12a − 15
C.) 6a^2 + 12a − 15
D.) 5a^2 + 7a − 2
The speed of a stream is 2 mph. A boat travels 20 miles upstream in the same time it takes to travel 40 miles downstream. What is the speed of the boat in still water?
The speed of the boat in still water is mph.
(Simplify your answer. Type an integer or a decimal.)
Answer:
The speed of a boat in still water is 6 miles per hour.
Step-by-step explanation:
t = [tex]\frac{20}{s-2}[/tex] (upstream)
t = [tex]\frac{40}{s+2}[/tex] (downstream)
[tex]\frac{20}{s-2}[/tex] = [tex]\frac{40}{s+2}[/tex]
40 ( s - 2 ) = 20 ( s + 2 )
40s - 80 = 20s + 40
20s = 120
s = 6 mi / h
The speed of a boat in still water is 6 miles per hour.
What can you use to compare companies in different industries?
Answer:
Investors generally use ratios to evaluate companies and make comparisons between companies within an industry. Ratio analysis simplifies the process of comparing the financial statements of multiple companies.
What is 3/10 of 2 1/2 metres in centimetres
_________
[tex] \: [/tex]
2½m = 2.5 × 100 = 250cm
Soo :
[tex] \longmapsto\frac{3}{1 \cancel0} \times 25 \cancel0[/tex]
[tex] \longmapsto3 \times 25[/tex]
[tex] \longmapsto \bold{75cm}[/tex]
The constant of proportionality (k) tells you how steep the graph of a proportional relationship is. TRUE or FALSE
A proportional relationship has a constant rate of change.
The given statement is true.
Step-by-step explanation:
A proportional relationship has a constant rate of change. We need to tell if this statement is true or false
A proportional relationship is given by equation:
where y is dependent variable while x is independent variable and k is constant of proportionality
The constant of proportionality is constant for all the values of y and x.
So, A proportional relationship has a constant rate of change.
The given statement is true.
The constant of proportionality (k) tells you how steep the graph of a proportional relationship is TRUE.
What are the ratio and proportion?The ratio is the division of the two numbers.
For example, a/b, where a will be the numerator and b will be the denominator.
Proportion is the relation of a variable with another. It could be direct or inverse.
Let's consider a proportional relationship
y∝ x
y = kx
k = y/x
Now the value of y directly depends on upone k.
So, changing k will change the steepness of the line.
Hence "The constant of proportionality (k) tells you how steep the graph of a proportional relationship is TRUE".
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BRAINLIEST IF CORRECT ANSWER A mother explains to her child that the price on the sign is not the total price for a set of golf clubs, because the
price does not include tax. She points out that a $120 set of golf clubs actually costs $132 once the sales taxis
added. What is the sales tax percentage?
Answer:
tax is 10%
Step-by-step explanation:
because if you multiply 120 by 10% you get 12 so that means that the tax is 10%
Which is in order from greatest to least?
a. 1/5, 5.90, -9, √9
b. -6, 1.25, √9, 4.40
c. 0.75, -2, 2.40, √5
d. 1, 5/4, √4, 4.5, √11
help me please:((
PLEASE HELP!
will give brainlist
Answer:
m∆T=44°
Step-by-step explanation:
> 180-108+28
> 180-136
> 44
Which graph represents the solution to 5 +8x <3(2x + 4)?
A:
-10-9-8 -7 -6 -5 4 -3 -2 -1 0
1
2
3
4
5
6 7 8
9 10
B:
-10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2
3
4 5 6 7 8 9 10
C:
-10 -9-8-7-6-5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10
D:
-10-9-8-7-6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10
A
B
D
Answer:
Option D
Step-by-step explanation:
Given the inequality statement: 5 + 8x < 3(2x + 4):
We must solve for the solution of the given inequality statement.
First, distribute 3 into the parenthesis:
5 + 8x < 3(2x + 4)
5 + 8x < 6x + 12
Next, subtract 6x from both sides:
5 + 8x - 6x < 6x - 6x + 12
5 + 2x < 12
Then, subtract 5 from both sides:
5 - 5 + 2x < 12 - 5
2x < 7
Divide both sides by 2 to solve for x:
[tex]\displaystyle\mathsf{\frac{2x}{2}<\:\frac{7}{2}}[/tex]
[tex]\displaystyle\mathsf{x<\:\frac{7}{2}}[/tex]
Since [tex]\displaystyle\mathsf{\frac{7}{2}}[/tex] = 3.5, and that the inequality symbol is "<," then it means that [tex]\displaystyle\mathsf{\frac{7}{2}}[/tex] or 3.5 is not included as an endpoint. This corresponds to an empty circle on the 3.5 mark on the number line, pointing towards the left (indicating that the values must be less than 3.5).
Therefore, the correct answer is Option D.
Which of the followi g is equal to (9×1)+(5×1/10)+(1×1/100)?
Answer:
9.51
Step-by-step explanation:
9 x 1 is equal to 9
5 x 1/10 is equal to 5/10 which is also 0.5
1 x 1/100 is equal to 1/100 which is also 0.01
Please help ASAP, probability math question
Answer:
Step-by-step explanation:
For the first throw the probability that it does not land on four should be .35 not .25
On the top for the second throw the probabilities should be swapped (so land on 4= .65 and not land on four =.35)
Determine whether each equation is a linear equation. Write yes or no. If yes, write the equation in standard form. 12x = 7y - 10y
Answer and Step-by-step explanation:
This equation is linear because the slope is changing at a constant rate.
Write in standard form:
Standard form on an equation is written like so: Ax + By = C
First combine the y-values.
12x = -3y
Now add 3y to both sides of the equation.
12x + 3y = 0 <-- This is the answer (equation) in standard form.
#teamseas #PAW (Plant And Water)
I hope this helps!
find AEB
find DBC
find AED
find ABD
find ABD
find DBC
find DEC
pls give pictures and explanation fast
Step-by-step explanation:
I solved the first four in the left side. You could solve the other ones by looking at the setup. if any doubt comment.
#5 ABD should be 32
Answer:
Step-by-step explanation:
what is 1/5 divided by 69
Answer:
1/345 or 0.00289855 (for 1/5 / 69)
I feel like you're most likely talking about 69 / 1/5 which is 345
Try looking at the problem you are doing again :)
Answer:
0.00289855072
Step-by-step explanation:
1÷5 = 0.2
0.2 ÷ 69 = 0.00289855072
Lucy bakes 135 gingerbread cookies and sells them in boxes of 6
how many full boxes will she have ?
how many cookies will she have left over ?
Answer:
22 boxes
5 cookies left
Step-by-step explanation:
135 / 6 = 22.5
Lucy will have 3 cookies left over that won't fit into any full boxes. To find how many full boxes Lucy will have, we can divide the total number of cookies (135) by the number of cookies in each box (6).
Number of full boxes = Total number of cookies / Number of cookies in each box
Number of full boxes = 135 cookies / 6 cookies per box
Number of full boxes = 22.5
Since Lucy cannot have a fraction of a box, she will have 22 full boxes of gingerbread cookies.
To find how many cookies she will have left over, we can find the remainder after dividing the total number of cookies by the number of cookies in each box.
Number of cookies left over = Total number of cookies % Number of cookies in each box
Number of cookies left over = 135 cookies % 6 cookies per box
Number of cookies left over = 3
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Rebecca has 20 table tennis balls and 16 table tennis paddles. She wants to sell packages of balls and paddles bundled together. What is the greatest number of packages she can sell with no leftover balls or paddles?
Answer: 4 packages
Step-by-step explanation: the greatest common factor of 20 and 16 is 4.
Which person has more potential energy? Noah who jumped out of the plane at 100 m or Clara at 50 m in the air? Explain.
Answer:
Noah
Step-by-step explanation:
Potential energy is the amount of energy that can be transfered to kinetic. This means that the higher person will have more potential energy.
The pair of points (-4, y) and (5, 7) lie on a line with slope . What is the value of y? You must show all of your work to receive credit
The slope of a line is given by the ratio of the rise to the run of the line.
The value of, y is 4
Reasons:
The given points on the line are; (-4, y), and (5, 7)
The slope of the line, = [tex]\dfrac{1}{3}[/tex]
Required:
To find the value of y
Solution:
The formula for the slope is given as follows;
[tex]Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
Where;
(x₁, y₁) = (-4, y)
(x₂, y₂) = (5, 7)
Which gives;
[tex]Slope, \, m =\dfrac{7-y}{5-(-4)} = \dfrac{7-y}{5+4} =\dfrac{1}{3}[/tex]
3·(7 - y) = 1·(5 + 4) = 9
21 - 3·y = 9
3·y = 21 - 9 = 12
[tex]y = \dfrac{12}{3} = 4[/tex]
The value of, y = 4
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