Answer: The answer I got was 39
Step-by-step explanation:
what is the y-intercept for the linear function y-4=2(x-6)
Answer:
-8Step-by-step explanation:
Method 1:
The slope-intercept of an equation of a line:
[tex]y=mx+b[/tex]
m - slope
b - y-intercept
We have the equation of a line in the point-slope form:
[tex]y-4=2(x-6)[/tex]
Convert it the the slope-intercept formula:
[tex]y-4=2(x-6)[/tex] use the distributive property
[tex]y-4=2x-12[/tex] add 4 to both sides
[tex]y=2x-8\to b=-8[/tex]
Method 2:
The y-intercept is for x = 0. Put x = 0 to the equation:
[tex]y-4=2(0-6)[/tex]
[tex]y-4=2(-6)[/tex]
[tex]y-4=-12[/tex] add 4 to both sides
[tex]y=-8[/tex]
Using four different numerators, write an equation in which four fractions, when added, have a sum of 1.
Answer:
1/2 + 1/4 + 1/12 + 8333/10000
City planners anticipate an 8.2% population growth per year, including new residents and births. The population, in millions of people, based on this increase can be modeled by the function p(x) = 2.5(1.082), where x is the number of years of tracked growth. The planners also estimate a 3% population loss over the same time period that can be modeled by the function L(p) = p(0.97).
Answer:
D) L(p(x)) = 2.5(1.04954)x
Step-by-step explanation:
I need help with geometry
Answer:
128
Step-by-step explanation:
4*4*8=
Answer:
109.85641
Step-by-step explanation:
A=2AB+(a+b+c)h
A=ah+bh+ch+1/2 squared rooted﹣a4+2(ab)2+2(ac)2﹣b4+2(bc)2﹣c4
=4·8+4·8+4·8+1/2·squared rooted﹣44+2·(4·4)2+2·(4·4)2﹣44+2·(4·4)2﹣44
≈109.85641
Which of the following digits could replace the □ in the thousands place to make this statement true?39□,077 rounds to 394,000 if we round to the nearest thousand.
Choose all answers that apply:
:3
:4
:5
Answer:
the answer would be 4
Step-by-step explanation:
The number 39□,077 to the nearest thousand and get 394,000, the thousands place digit must be 5 since that's the digit which would lead to rounding up. Hence, the correct digit to replace the □ would be 5.
Digits in the thousands place of the number 39□,077 would make it round to 394,000 when rounded to the nearest thousand. When rounding to the nearest thousand, we look at the hundreds place to decide whether to round up or down. The rules for rounding are if the hundreds place digit is 5 or higher, we round up, and if it is 4 or lower, we do not round up.
Therefore, to round up to 394,000, the digit in the hundreds place should be 5 or higher. This means that the options provided as possible answers:
3
4
5
Can be evaluated based on this rule. The digit 3 or 4 in the thousands place would not cause the number to round up, but the digit 5 would result in the number being rounded up to 394,000. Thus, the correct answer is 5.
Find the Slope of a line That contains the points (5, 6), (1,4).
Answer:
1/2
Step-by-step explanation:
Use the slope formula:
[tex] slope = m = \dfrac{y_2 - y_1}{x_2 - x_1} [/tex]
[tex] slope = m = \dfrac{6 - 4}{5 - 1} [/tex]
[tex] slope = m = \dfrac{2}{4} [/tex]
[tex] slope = m = \dfrac{1}{2} [/tex]
[tex] \frac{y2 - y1}{x2 - x1} = \frac{4 - 6}{1 - 5} = - 2 \div - 4 = 1/2
Probability and Statistics question
Testing positive for a disease when you don't really have the disease is which of these?
A.Neither a false negative nor a false positive
B.Both a false negative and a false positive
C.A false positive
D.A false negative
Answer:
C.
Step-by-step explanation:
A false negative is when you test negative when you should have tested positive
A false positive is when you test positive on a test you should have been negative on
Testing positive for a disease when you don't really have the disease is option C. False positive.
What is False Positive Error?False positive is defined as the error caused by the false positive of an actual negative condition.
There are mainly two kinds of errors in probability.
One is false positive and the other one is false negative.
False positive error as discussed above is the false positive statement for an actual negative condition.
For example, a test result showing that you are pregnant while you are actually not.
False negative errors are those formed by the false negative for an actual positive statement.
For example, a test result showing that you are not pregnant while you are actually pregnant.
Here, since the test result is positive but actually you don't have the disease is a false positive.
Hence the given statement is false positive.
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When given a function and the point at which it is discontinuous, how do you classify the discontinuity as jump, removable, or asymptotic?
Answer:
Jump discontinuities - No defined limit; the left-handed and right-handed limits will be different, converging at two different finite values
Removable - The limit at this point is defined; the left and right-hand limits both converge on the same value
Asymptotic - The left-and-right-handed limits at this point will either tend to ∞ or -∞
When the function f(x) is divided by x + 2, the quotient is x2 – 7x – 9 and the
remainder is 6. Find the function f(x) and write the result in standard form.
Answer:
f(x)= x^3-5x^2-23x-12
Step-by-step explanation:
Given:
function f(x) divided by x + 2, the quotient is x2 – 7x – 9 and the
remainder is 6
When a polynomial f(x) is divided by any another polynomial d(x) and there is q(x) and r then it can be written as:
f(x)= d(x)q(x) + r
Now putting values of d(x)= x+2, q(x)= x2 – 7x – 9 and r=6, we get
f(x)= (x+2)(x^2-7x-9)+6
f(x)= x^3 -7x^2-9x+2x^2-14x-18+6
= x^3-5x^2-23x-12 !
Final answer:
To find the function given a quotient and remainder when divided by x + 2, combine the terms to get f(x) = x² - 7x - 3. The resulting function f(x) is in standard form.
Explanation:
The function f(x) is a polynomial that can be expressed as f(x) = x² - 7x - 9 + 6/(x + 2). Finding the function in standard form involves combining the quotient and remainder terms.
To write it in standard form, simplify the expression to f(x) = x² - 7x - 3.
Therefore, the function f(x) = x² - 7x - 3.
What is the discontinuity of the function f(x)= x^2-4x-12/x+2
The function f(x) = (x^2 - 4x - 12) / (x + 2) is a rational function, which is a ratio of two polynomials. To find its discontinuity, we identify values of x which makes the denominator zero, in this case x = -2, making this the function's discontinuity.
Explanation:The function given is f(x) = (x^2 - 4x - 12) / (x + 2). This is a rational function, which is a ratio of two polynomial functions - in this case, a quadratic function (x^2 - 4x - 12) and a linear function (x + 2).
To find the discontinuity of a rational function, we need to identify the values of x that make the denominator zero since division by zero is undefined. In this case, that's when x = -2. Thus, this function has a discontinuity at x = -2.
Note that this does not factor into the asymptote of the function as some might believe, but it's instead a point at which the function is undefined. "Graphing this function would show a hole at x = -2".
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Find the interest earned and the future value of an annuity with weekly payments of $400 for three years into an account that pays 7% interest per year compounded semiannually.
Answer:
the interest earned= 93.401
and the future value of an annuity= 493.401
Step-by-step explanation:
Given Data:
Interest rate= 7%
time,t = 3 years
weekly payment, P= 400
At the end of 3 years, final investment A= ?
n= 52 as it is weekly
As per the interest formula
A= P(1+r/n)^nt
Putting value in above equation
= [tex]400\left(1+\frac{0.07}{52}\right)^{156}[/tex]
= 493.401
Interest earned = A-P
= 493.401-400
= 93.401 !
What is the area of the trapezoid?
Answer:
The area of the trapezoid should be:
A = (a + b)/2 · h = (4 + 8)/2 · 4 = 24
So the area of the trapezoid is 24 square units.
The answer is B.) 24 square units
Which statements are true of the function f(x) = 3(2.5)x? The function is exponential.
The initial value of the function is 2.5.
The function increases by a factor of 2.5 for each unit increase in x.
The domain of the function is all real numbers.
The range of the function is all real numbers greater than 3.
Answer:
The function is exponential.
The function increases by a factor of 2.5 for each unit increase in x
The domain of the function is all real numbers
Step-by-step explanation:
The function is exponential.
The function increases by a factor of 2.5 for each unit increase in x
The domain of the function is all real numbers
what is the surface area of the right rectangular prism ?
Answer:
434
Step-by-step explanation:
2(wl+hl+hw)
Answer: the surface is 434 square feet.
Step-by-step explanation:
you can use the formula of right rectangular is 2(wl+wh+lh). The rectangular prism has 6 faces. So the surface area is 434 square feet.
A group of 5 men and 5 women are applying for a job at a local company. Each of the 10 job candidates has the same chance of receiving a job offer. Using the diagram, what is the probability that the company will hire two women for two positions?
A:3/4
B:1/4
C:1
D:1/2
Answer: 1/4
Explanation: Because there is a 1/2 chance that a female will get the first job, and a half chance that a lady will get a second job. So (1/2)*(1/2)=(1/4)
A group of men and women were given a maze puzzle
Sooo whats the question
If f(x) = x+7 and g(x) = x=13, what is the domain of (fºg)(x)?
Answer:
The domain is {x I x ≠ 13} ⇒ the last answer
Step-by-step explanation:
* Lets talk about the composite function
- It is a function is found from two given functions by applying one
function into the second function.
- The applying function is the domain of the second function
- (f °g)(x) means g(x) is applying into f(x)
* Lets solve the problem
∵ f(x) = x + 7
∵ g(x) = 1/(x -13)
- To apply g(x) into f(x) replace x in f(x) by g(x)
∴ f(g(x)) = f(1/(x - 13)) = 1/(x - 13) + 7
- The domain of the function is all values of x which make the function
defined
- The domain is all real numbers except the value which makes
the denominator = 0
- To find this value put the denominator = 0
∵ The nominator of (f ° g)(x) is x - 13
∴ Put x - 13 = 0
∴ x - 13 = 0 ⇒ add 13 to both sides
∴ x = 13
∴ The domain of (f ° g)(x) is all real numbers except x = 13
* The domain is {x I x ≠ 13}
What’s the perpendicular slope of 4/3
Answer:
-3/4
Step-by-step explanation:
Perpendicular slopes are reciprocal opposites of the original slope. This means that the reciprocal of 4/3 is 3/4, and the opposite of 3/4 is -3/4.
To find the perpendicular slope you must take the given slope take the opposite reciprocal (aka switch the sign and flip the fraction)
so...
[tex]\frac{-3}{4}[/tex]
^^^slope perpendicular to 4/3
Hope this helped!
~Just a girl in love with Shawn Mendes
The chart shows the number of points Corie earned out of the number of points possible on each of the first four units of his math course.
On which two units did Corie earn equivalent scores?
Choose exactly two answers that are correct.
A.Unit 4
B.Unit 1
C.Unit 3
D.Unit 2
Corie's Unit Test Scores
Unit 1 91/100
Unit 2 45/50
Unit 3 18/20
Unit 4 23/25
Answer:
C & D
Step-by-step explanation:
Change all the test scores so they have common denominators.
Unit 1 91/100
Unit 2 45/50 * 2/2 = 90/100
Unit 3 18/20 * 5/5 = 90/100
Unit 4 23/25* 4/4 = 92/100
As you can see, Unit 2 and 3 are equivalent.
I believe the answers are C and D. You have to change the test scores so they have common denominators. Correct me if I'm wrong. Hope this helps!
What is the value of X in the equation 2x+3y=36, when y=6?
Answer:
x = 9
Step-by-step explanation:
Substitute y=6 into 2x+3y=36
2x+3(6) =36
2x + 18 = 36
2x = 18
x = 9
Answer:
x = 9
Step-by-step explanation:
Substitute y=6 into 2x+3y=36
2x+3(6) =36
2x + 18 = 36
2x = 18
x = 9
The variable y varies directly to the variable x. If y = 9, when x = 5, what is the value of y when x = 20? Show your work to find the constant of variation (k) Write the equation using the constant of variation (k).
Show your work to find the value of y when x = 20.
For this case we have that if "and" varies directly proportional to "x", it follows that:
[tex]y = kx[/tex]
Where:
k: It is the constant of proportionality.
Then, we look for the value of "k":
[tex]9 = k (5)\\k = \frac {9} {5}[/tex]
So, now we look for the value of "y" when x = 20.
[tex]y = \frac {9} {5} (20)\\y = \frac {180} {5}\\y = 36[/tex]
Thus, the value of y is 36
Answer:
[tex]y = 36[/tex]
Answer:
Final answer is y=36 and the constant of variation is k=9/5.
Step-by-step explanation:
Given that the variable y varies directly to the variable x.
Then we can write equation as y=kx
Were k is the constant of variation.
Given that If y = 9, then x = 5.
Plug these values into above equation, we get:
y=kx
9=5k
5k=9
k=9/5
Now we need to find the value of y when x = 20. So plug x = 20 and k=9/5 into above formula
y=kx
y=(9/5)(20)
y=180/5
y=36
Hence final answer is y=36 and the constant of variation is k=9/5.
What is the solution to the inequality |x-4|<3?
|x-4| <3
=>. x-4<3 or -(x-4)<3
=>. x-4<3 or x+4>3
=>. x<7 or x>1
So solution is x>1 & x<7. =x€(1,7)
Hope it helps...
Regards,
Leukonov/Olegion.
The solution to the given inequality is:
[tex]1<x<7[/tex] i.e. in the interval form it is given by: (1,7)
Step-by-step explanation:We are given a inequality in term of variable x as follows:
[tex]|x-4|<3[/tex]
Now, we know that any inequality with modulus function is opened as follows:
If
[tex]|x-a|<b[/tex]
Then we have:
[tex]-b<x-a<b[/tex]
i.e. we may write it as:
[tex]a-b<x<a+b[/tex]
Here in the given expression we have:
a=4 and b=3
Hence, the solution is given by:
[tex]4-3<x<4+3\\\\i.e.\\\\1<x<7[/tex]
Find the value of x in the solution to the system of equations shown.
Answer:
x=3
Step-by-step explanation:
i just did it on ttm
the y=14x-6
y=-4x=48
Answer:
[tex]x = 3[/tex]
Step-by-step explanation:
If the dot product of two nonzero vectors v1 and v2 is nonzero, what does this tell us?
A) v1 is not perpendicular to v2
B) v1 is a scalar
C) v1 is parallel to v2
D) v1 is perpendicular to v2
ANSWER
A) v1 is not perpendicular to v2
EXPLANATION
Two non-zero vectors are orthogonal or perpendicular if their dot product is zero.
In other words,if two non-zero vectors are not orthogonal or perpendicular then their dot product is not equal to zero.
From the question v1 and v2 are non-zero vectors and their dot product is not equal to zero.
This tells us that, the two vectors are not perpendicular.
The correct choice is A.
Answer:
A) v1 is not perpendicular to v2
Step-by-step explanation:
This proves that the test for orthogonality fails (doesn’t equal zero) meaning that V1 is not perpendicular to V2.
show me how to do this
Answer:
x = 7 cmStep-by-step explanation:
The perimeter of the given triangle:
P = (2x + 1) + (x + 2) + (3x - 9) and P = 36 cm.
Therefore we have the equation:
2x + 1 + x + 2 + 3x - 9 = 36 combine like terms
(2x + x + 3x) + (1 + 2 - 9) = 36
6x - 6 = 36 add 6 to both sides
6x = 42 divide both sides by 6
x = 7
what is 30% of 70. show your work
Answer: 21
Step-by-step explanation:
we have two simple equations:
1) 70=100%
2) x=30%
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
70/x=100%/30%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.
7. Solution for what is 30% of 70
70/x=100/30
(70/x)*x=(100/30)*x - we multiply both sides of the equation by
70=3.33333333333*x - we divide both sides of the equation by (3.33333333333) to get x
70/3.33333333333=x
The fore, the answer is 21
Answer:
21
Step-by-step explanation:
30% of some quantity is equivalent to 0.30 times that quantity.
In this case, 30% of 70 is 0.30(70) = 21.
state the degree 5r^2s^3t^4
Answer:
Degree 9.
Step-by-step explanation:
The degree is the sum of all the exponents.
So it is 2 + 3 + 4 = 9.
The degree is the sum of all the exponents 5r^2s^3t^4, So it is 2 + 3 + 4 = 9.
What is the degree of the sum?The degree sum formula says that if you add up the degree of all the vertices in a (finite) graph, the result is twice the number of the edges in the graph. There's a neat way of proving this result, which involves double counting: you count the same quantity in two different ways that give you two different formulae.
The degree is the sum of all the exponents 5r^2s^3t^4
So it is 2 + 3 + 4 = 9.
What is the sum of the exponents called?Degree of the Term is the sum of the exponents of the variables. Example. 2x 4y 3 4 + 3 = 7 7 is the degree of the term. 5x-2y 5 NOT A TERM because it has a negative exponent.
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need help asap choose all answers that apply
Hello There!
None of them would be the correct answer
Have a great day!
Drag each label to the correct location on the expression. Each label can be used more than once, but not all labels will be used. Complete this equation. __________
[tex]\frac{sin(x+y)}{sin(x-y)} = \frac{tan(x)+tan(y)}{tan(x)-tan(y)}[/tex]
Answer with explanation:
→sin (x+y)=sin x cos y +cos x sin y
→sin (x-y)= sin x cos y - cos x sin y
[tex]\Rightarrow \frac{\sin (x+y)}{\sin (x-y)}\\\\\Rightarrow \frac{\sin x \cos y + \cos x \sin y}{\sin x \cos y - \cos x \sin y}\\\\\rightarrow \text{Dividing numerator and Denominator by} \cos x \cos y\\\\ \Rightarrow \frac{\frac{ \sin x \cos y}{\cos x \cos y} +\frac{ \sin y \cos x}{\cos x \cos y}}{\frac{ \sin x \cos y}{\cos x \cos y} -\frac{ \sin y \cos x}{\cos x \cos y}}\\\\\Rightarrow \frac{\tan x +\tan y}{\tan x -\tan y}[/tex]
help~~~~~~~~~````````````````
Answer:
112.98
Step-by-step explanation:
37.68/2π = 5.9969
5.9969²π = 112.98
ANSWER
The area is 112.9 square units to the nearest tenth.
EXPLANATION
The circumference is given by:
[tex]C=2\pi \: r[/tex]
This implies that,
[tex]37.68 = 2 \: \pi \: r[/tex]
[tex] \frac{37.68}{2\pi} = r[/tex]
[tex]r = 5.997[/tex]
The area of a circle is
[tex]\pi \: {r}^{2} [/tex]
We substitute the radius to get;
[tex]3.14 \times 5.997 ^{2} = 112.93 \: sq. \: units[/tex]
To the nearest tenth, the area of the circle is 112.9 square units.