Answer:
-6 a b + b + a
Step-by-step explanation:
Simplify the following:
-(a - b + a b) - a b - 4 a b + 2 b - 2 b + 3 a - a
Hint: | Group like terms in 3 a - 2 b - a b - (a b - b + a) - 4 a b + 2 b - a.
Grouping like terms, 3 a - 2 b - a b - (a b - b + a) - 4 a b + 2 b - a = -(a b - b + a) + (-a b - 4 a b) + (3 a - a) + (2 b - 2 b):
-(a b - b + a) + (-a b - 4 a b) + (3 a - a) + (2 b - 2 b)
Hint: | Combine like terms in -a b - 4 a b.
a b (-1) + a b (-4) = -5 a b:
-(a b - b + a) + -5 a b + (3 a - a) + (2 b - 2 b)
Hint: | Combine like terms in 3 a - a.
3 a - a = 2 a:
-(a b - b + a) - 5 a b + 2 a + (2 b - 2 b)
Hint: | Look for the difference of two identical terms.
2 b - 2 b = 0:
-(a b - b + a) - 5 a b + 2 a
Hint: | Distribute -1 over a b - b + a.
-(a b - b + a) = -a b + b - a:
-a b + b - a - 5 a b + 2 a
Hint: | Group like terms in -a b - 5 a b + b + 2 a - a.
Grouping like terms, -a b - 5 a b + b + 2 a - a = (-a b - 5 a b) + b + (-a + 2 a):
(-a b - 5 a b) + b + (-a + 2 a)
Hint: | Combine like terms in -a b - 5 a b.
a b (-1) + a b (-5) = -6 a b:
-6 a b + b + (2 a - a)
Hint: | Combine like terms in 2 a - a.
2 a - a = a:
Answer: -6 a b + b + a
Write the equation for the circle with center at (6,0) and radius of 6.
(x - 6) 2 + y 2 = 36
(x + 6) 2 + y 2 = 36
(x - 6) 2 - y 2 = 36
The equation for the circle with center at (6,0) and radius of 6 is (x-6)² + y² = 36.
What is circle?A circle is a two-dimensional shape consisting of all the points that are at a fixed distance (called the radius) from a given point (called the center) in a plane. It can be thought of as a collection of points that are equidistant from a single point in the plane.
According to question:The equation for a circle with center (h,k) and radius r is:
(x - h)² + (y - k)² = r²
Using this formula, we can write the equation for the given circle with center at (6,0) and radius of 6 as:
(x - 6)² + (y - 0)² = 6²
Simplifying, we get:
(x - 6)² + y² = 36
So the correct answer is: (x - 6)² + y² = 36.
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What is the volume of this figure?
A, 2520 in³
B. 1638 in³
C. 1323 in³
D. 935 in³
Answer:
the answer is 1323. i took the quiz
Step-by-step explanation:
Answer:
1323 in³ for K12
HELPP!!!
The area of the figure is ____ square units.
Answer:
The answer is 132 square units
Step-by-step explanation:
Cutting the shape
we have two trapeziums
A=(area of small +Area of big)Trapezium
A=1/2(3+9)8 + 1/2(9+12)8
A=1/2×12×8 + 1/2×21×8
A=12×4 + 4×21
A=48+84
A=132 square units
Please help!!
Find the third, fourth, and tenth terms of the sequence described by the rule.
A(n) - 3+ (n-1)(5)
A(3)=
A(4)=
A(10)=
Answer:
A(3) = 13
A(4) = 18
A(10) = 48
Step-by-step explanation:
This seems like a plug and play.
Starting with A(3). Everywhere you see an n, you'll replace it with a 3, as follows;
3 + (3-1)(5) = ?
We'll solve it step by step. First is 3-1. That's 2, bringing it to
3 + (2)(5).
2 times 5 is 10, bringing it to
3 + 10.
3 + 10 = 13, which concludes
A(3) = 13.
Now doing it for the remaining 2.
3 + (4-1)(5)
3 + (3)(5)
3 + 15
A(4) = 18
Last one...
3 + (10-1)(5)
3 + (9)(5)
3 + 45
A(10) = 48
Josh wrote 483 out of an expected 500 words for his essay. How would this ratio be expressed in decimal form?
A 0.034
B 0.483
С 0.966
D 4.83
Answer:
b
Step-by-step explanation:
just trust me
Can somebody please help me !
Answer: A
Step-by-step explanation:
How many solutions does this linear system have?
y = 2/3 x + 2 + 2
6x – 4y = –10
hey, I checked on desmos, which is a calculator for this type of stuff, and got 1.8,5.2. So I think that's one solution. Sorry if wrong.
One -tenth of books are picture books 2/10 are story books and half are science fiction and remainings are encyclopaedia what fraction are encyclopaedia
Answer:
1/5 of books are encyclopediaStep-by-step explanation:
Remaining fraction:
1 - (1/10 + 2/10 + 5/10) = 1 - 8/10 = 2/10 =1/51/5 of books are encyclopedia
Answer:
Let the total fraction of books be 1, then;
\(1 - ( \frac{1}{10} + \frac{2}{10} + \frac{1}{2} ) \\ 1 - ( \frac{(1 + 2 + 5)}{10} ) \\ (1 - \frac{8}{10}) = \frac{(10 - 8)}{10} \\ \frac{2}{10} = \boxed{ \frac{1}{5} }\)
Therefore, 1/5th of the books are encyclopaedia.Now suppose instead that Jane withdraws $500 from her checking account and uses $300 of this money to pay her federal income tax. After that, she uses $120 to buy a set of used golf clubs from her neighbor who deposits it into his checking account. Finally, she deposits the remaining cash from the $500 withdrawal into her savings account. By what dollar amount does the country's money supply change as a result of Jane's actions?
Answer:
Step-by-step explanation:
a. Money held by individuals in savings accounts is part of the M2 money supply, but not part ofthe M1 money supply. Therefore, when Jane withdraws $500 cash from her savings account,the M1 money supply increases by $500. However, the M2 money supply does not changebecause the M1 money supply is included as part of the M2 money supply.b. Money held by banks and governments is not included as part of the money supply. Therefore,when Jane uses $300 to pay her income tax to the U.S. Treasury, that total of $300 is taken out ofboth the M1 and M2 money supplies. When Jane deposits the remaining cash ($80) into hersavings account, the M1 money supply is reduced by that amount, but it does not affect the M2money supply. Therefore, Jane's actions cause the M2 money supply to change by $300 (theamount used to pay her taxes) and the M1 money supply to change by $380 (the amount used topay her taxes plus the amount that was deposited into her savings account). Note that it does notmatter that Jane no longer has the $120 she used to pay for the gold clubs, as the funds remainsin someone else's checking account. So this amount is neither removed from the M1 moneysupply nor the M2 money supply.NumericResponseDifficulty: 03 HardLearning Objective: 1402 List anddescribe the components of the U.S.money supply.5000380300References
Your goal is to create a college fund for your child. Suppose
you find a fund that offers an APR of 5% How much should
you deposit monthly to accumulate $170,000 in 15 years?
Answer:
the monthly payment is $636.02
Step-by-step explanation:
The calculation of the monthly amount deposited i.e. PMT is shown below:
GIven data
NPER = 15 × 12 months = 180
RATE = 5% ÷ 12 = 0.4167%
PV = $0
FV = $170,000
based on the above information
The formula is given below:
= PMT(RATE;NPER;PV;FV;TYPE)
After applying the given formula, the monthly payment is $636.02
An adults heart beats around 2,100 every 30 minutes. A baby’s heart beats about 2,600 times every 20 minutes. How many more beats does a baby’s heart beat in 60 minutes than an adults heart?
Answer:
3600 beats
7800-4200=3600
The following triangles are similar triangles with some dimensions specified. Find the measures of the other sides.
Answer:
116°
Step-by-step explanation:
(Angle sum property of a triangle = 180°)
angle A + angle C + angle ABC = 180°
66° + 50° + angle BAC = 180°
116° + angle ABC = 180°
angle ABC = 180° - 116°
angle ABC = 64°
angle ABD + angle ABC = 180°
angle ABD + 64° = 180°
angle ABD = 180° - 64°
angle ABD = 116°
So, the measure of the unknown angle is 116°
find the perimeter of a triangle where one side is 2 inches, one side is 6 inches and another side is 10 inches.
(a) 2in.
(b) 9in.
(c) 36in.
(d) 18in.
Answer:
(d) 18 in.
Step-by-step explanation:
When we're given the three sides of a triangle, one formula we can use for perimeter of a triangle is:
P = s1 + s2 + s3, where
P is the perimeter,and s1, s2, and s3 are the three sides:P = 2 + 6 + 10
P = 8 + 10
P = 18
Thus, the perimeter of the triangle is 18 in.
What’s the correct answer for this question?
Answer:
Independent Events
The outcome of one event does not affect the other.
If A and B are independent events then the probability of both occurring is
P(A and B)=P(A)×P(B)
Dependent Events
The outcome of one even affects the outcome ot the other.
If A and B are dependent events then the probability of both occurring is
P(A and B)=P(A)×P(B| A)
(B| A) - probability of B given A
A father has four sons, with heights of 68, 71, 72, and 75 inches. Determine the sampling distribution of
the sample mean height and the sampling distribution of the sample range of height for samples of
size n= 2.
The sampling distribution of the sample mean height and the sampling distribution of the sample range of height are 71.5 inches and 7 inches.
What is a mean?It is the average value of the set given.
It is calculated as:
Mean = Sum of all the values of the set given / Number of values in the set
We have,
Heights: 68, 71, 72, and 75 inches
Now,
Mean height.
= (68 + 71 + 72 + 75) / 4
= 286/4
= 71.5 inches
Sample range.
= Highest height - Lowest height
= 75 - 68
= 7 inches
Thus,
The mean height is 71.5 inches.
The sample range of height is 7 inches.
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A line has a slope of -2/3 and passes through the point (-3, 8). What is the equation of the line?
y= -2/3x + 6
y= -2/3x + 8
y= 6x- 2/3
y= 8x- 2/3
Answer:
y= -2/3x+6
Step-by-step explanation:
Using slope intercept form
y = mx+b where m is the slope and b is the y intercept
y = -2/3x +b
Substitute the point into the equation
8 = -2/3(-3) +b
8 = 2+b
8-2 =b
6=b
y= -2/3x+6
what percentage is $ 192.00 of 3200.00
6% is $ 192.00 of 3200.00.
Let x be the percentage.
x = 192 * 100 / 3200
= 19200/3200
= 192/32
x = 6%.
Therefore 6% is $ 192.00 of 3200.00.
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Comparing teaching assistants (TAs). professor Holmes has two teaching assistant who grade homework for a Statistics 101 course. Professor Holmes gives each of the two teaching assistants a rubric (a clear scoring guide) for the TAs to use when they grade the assignments, Holmes gives each TA the same student's paper to grade and has TA grade the paper according to the rubric. Professor Holmes is doing this to try to guarantee the scores given by the TAs are
(a) not biased.
(b) predictive
(c) reliable.
(d) valid.
Professor Holmes is making this effort to ensure the (C) reliability of the TAs' grades.
What is reliable?Certain mistakes might never be corrected. It is also possible to later reverse an edit that fixed a mistake.
Wikipedia shouldn't be used as the sole source of information, for this reason.
The Signpost, non-article pages, articles, and non-English Wikipedias are all included in this.
In contrast to reference books, many items in the online encyclopedia are well-researched, reviewed for quality, and frequently kept up to date.
Nonetheless, even 20 years after its inception, the content of the encyclopedia can still be changed, sometimes almost imperceptibly.
Therefore, professor Holmes is making this effort to ensure the (C) reliability of the TAs' grades.
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Determine whether the variable is qualitative or quantitative. Model of car driven Is the variable qualitative or quantitative? A. The variable is quantitative because it is an attribute characteristic. B. The variable is qualitative because it is an attribute characteristic. C. The variable is qualitative because it is a numerical measure.
D. The variable is quantitative because it is a numerical measure.
A variable in mathematics is a number that can change depending on the issue. Several mathematical statements and equations use the generic letters x, y, and z. In other words, a variable is a symbol that stands for an unknowable numeric value. Say that x Plus 5 equals 10. The "x" variable is used here.
The variable "model of car driven" is qualitative because it is an attribute characteristic. Qualitative variables are those that are not numerical in nature but rather represent characteristics or categories that can be observed or measured through attributes. In this case, the model of the car driven is a type of attribute that describes the make and model of the car, such as Honda Civic, Toyota Corolla, etc.
Therefore, option B is the correct answer.
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Optiοn B, "The variable is qualitative because it is an attribute characteristic," is the cοrrect answer.
What is a qualitative variable?A qualitative variable is a type οf variable in statistics that describes a characteristic οr quality οf an οbject οr phenοmenοn. It is alsο called a categοrical variable, and it can be nοminal οr οrdinal. Nοminal variables have categοries that have nο inherent οrder, while οrdinal variables have categοries with a natural οrder οr ranking.
The variable "Mοdel οf car driven" is qualitative because it is an attribute characteristic. Qualitative variables are variables that are nοt numerical in nature but are based οn attributes οr characteristics. In this case, the mοdel οf the car driven is a categοrical variable that describes a particular characteristic οf the car, such as its make οr mοdel. This variable cannοt be measured quantitatively οr numerically, but rather it can be categοrized based οn specific attributes οr features.
Therefοre, οptiοn B, "The variable is qualitative because it is an attribute characteristic," is the cοrrect answer.
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PLEASE HELP !!!! ILL GIVE BRAINLIEST !!!
Answer:
1) congruent
2) corresponding angles
3) 3x+21 = 6x-60
4) x =9
Step-by-step explanation:
1) congruent becuase supplementary means that these 2 angles add up to make 180 degrees.
2) the file below
3) we know they are equal because the congruent correspoding angles.
4) 3x+21 = 6x-60
=> 21 = 9x-60
=> 81 = 9x
=> 9 = x
Calculate 50% of 7.9 giving your answer to one decimal place?
Answer:
4.0
Step-by-step explanation:
50% means half.
Divide by 2.
7.9 ÷ 2 = 3.95.
Round to the tenths place.
4.0
I hope this helps!
pls ❤ and mark brainliest pls!
Determine the value of h in the equation 1/5+h=7/5. 6/5 8/25 6/25 8/5
The value of {h} is equivalent to 6/5.
What is a function?A function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
The domain of a function f(x) is the set of all values for which the function is defined, and the range of the function is the set of all values that function takes.
Given is the function as follows -
(1/5) + h = (7/5)
We can write the function as -
(1/5) + h = (7/5)
h = 7/5 - 1/5
h = (7 - 1)/5
h = 6/5
Therefore, the value of {h} is equivalent to 6/5.
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Find the quadratic function y = ax² + bx + c whose graph passes through the given points.
(-1,-5), (1,1),(-2,-2)
The quadratic function is y = 2x^2+3x-4.
Given:
The quadratic function y = ax² + bx + c whose graph passes through the given points.(-1,-5), (1,1),(-2,-2)
(-1,-5) passes.
y = ax^2+bx+c
-5 = a(-1)^2+b*-1+c
-5 = a-b+c
(1,1) passes.
1 = a*1^2+b*1+c
1 = a+b+c
(-2,-2) passes.
-2 = a(-2)^2+b*-2+c
-2 = 4a-2b+c
on solving three equations
a = 2 , b = 3 and c = -4
The quadratic equation is y = 2x^2+3x-4.
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A number n minus the sum of the number and eight
The algebraic expression for the sentence in this problem is given as follows:
n - (x + 8).
How to obtain the algebraic expression for the sentence?The sentence in this problem is given as follows:
"A number n minus the sum of the number and eight".
The sum of an unknown number x and eight is given as follows:
x + 8.
The subtraction of the number n by the expression is given as follows:
n - (x + 8).
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“Seven subtracted from the product of a number and -8 is 1”
Answer:
Below
Step-by-step explanation:
( x * (-8) ) - 7 = 1
- 8x = 8
x = -1
Answer:
the unknown number is -1
Step-by-step explanation:
-8x-7=1
+7. +7
-8x=8
/-8. /-8
x= -1
hopes this helps please mark brainliest
Find the value of (f o g)' at the given value.
To find the value of (f o g)' at a given value, you first need to understand the concept of composite functions and the chain rule of differentiation. Let's break it down step by step.
To find the value of (f o g)' at a given value, you need to evaluate g(x) and f(x), find their derivatives, and use the chain rule to find the derivative of (f o g) at the given value. It is important to understand the concepts of composite functions and the chain rule to be able to solve problems involving these concepts.
What are composite functions? Composite functions are functions that are formed by composing two or more functions. The notation used to denote composite functions is (f o g)(x), which means that the output of function g is used as the input for function f. In other words, we first evaluate g(x), and then use the result as the input for f(x).
What is the chain rule of differentiation? The chain rule of differentiation is a method used to find the derivative of composite functions. It states that if a function is composed of two or more functions, then its derivative can be found by taking the derivative of the outer function and multiplying it by the derivative of the inner function.
To find the value of (f o g)' at a given value, we need to follow these steps:1. Find g(x) and f(x)2. Find g'(x) and f'(x)3. Evaluate g(x) at the given value4. Use the chain rule to find (f o g)' at the given value
step 1: Find g(x) and f(x)Let's say that we have two functions: g(x) = x^2 + 3x + 1 and f(x) = sqrt(x). To find (f o g)(x), we first need to evaluate g(x) and then use the result as the input for f(x). Therefore, (f o g)(x) = f(g(x)) = sqrt(x^2 + 3x + 1)
Step 2: Find g'(x) and f'(x)To find g'(x), we need to take the derivative of g(x) using the power rule and the sum rule. Therefore, g'(x) = 2x + 3To find f'(x), we need to take the derivative of f(x) using the power rule and the chain rule. Therefore, f'(x) = 1/2(x)^(-1/2)
Step 3: Evaluate g(x) at the given valueSuppose we want to find (f o g)' at x = 2. To do this, we need to first evaluate g(x) at x = 2. Therefore, g(2) = 2^2 + 3(2) + 1 = 11
Step 4: Use the chain rule to find (f o g)' at the given value now we can use the chain rule to find (f o g)' at x = 2. Therefore, (f o g)'(2) = f'(g(2)) * g'(2) = 1/2(11)^(-1/2) * (2)(3) = 3/sqrt(11)
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ACTUALLY SHOW YOUR WORK!
On a number line, show all points whose coordinates satisfy the following inequalities: |x−20|<5
Answer:
all the point from 25 and below upto 15 but not including 25 and 15 is the answer.
Step-by-step explanation:
ie 15<x<25; when you draw this on the number line mark fr 15 to 25 but circle the points at 15 and 25, like o------o.
In the currency pair USD/CAN, USD is what currency?
convert 208 in base 10 to binary number
Step-by-step explanation:
208
= 128 + 64 + 16
= 1 * 2⁷ + 1 * 2⁶ + 1 * 2⁴
= 11010000. (base 2)
if the risk-free rate is 5 percent and the risk premium is 7 percent. what is the required return?