Answers
Answer:Yes, since the slopes are the same and the y-intercepts are different.
Related Questions
A support beam to be placed at a 28° angle of elevation so that the top meets a vertical beam 1.6 meters above the horizontal floor. Thanks vertical beam meets the floor at a 90° angle.
Law of sin: sin(A)/a=sin(B)/b=sin(C)/c
Approximately how far the vertical beam should the lower end of the support be placed along the horizontal floor
A)3.0 meters
B)3.4 meters
C)3.9 meters
D)4.4 meters
Answers
The answer is B
Answer:
B.
Step-by-step explanation:
Mia’s work to find the slope of a trend line through the points (3, 10) and (35, 91) is shown below.
Mia’s Work
Step 1: 3-35/10-91
Step 2: -32/-81
Step 3: 32/81
What was the first error that Mia made?
A: Mia simplified incorrectly and made the slope positive.
B: Mia subtracted in the wrong order.
C: Mia switched the numerator and the denominator.
D: Mia used subtraction instead of addition.
Answers
m = (y2-y1) / (x2-x1)
Where we have two ordered pairs:
P1 = (x1, y1)
P2 = (x2, y2)
We observe then that according to the formula, the error of mine was to invert the numerator with the denominator.
Answer:
C: Mia switched the numerator and the denominator.
Answer:
Answer:
C: Mia switched the numerator and the denominator.
Step-by-step explanation:
just took the test
A waterfall has a height of 900 feet. A pebble is thrown upward from the top of the falls with an initial velocity of 12 feet per second. The height, h, of the pebble after t seconds is given by the equation h equals negative 16 t squared plus 12 t plus 900. How long after the pebble is thrown will it hit the ground?
Answers
_____
The quadratic formula tells you the time is
.. t = (-12 -√(12^2 +4*16*900))/(-32) = (3/8)*(1 +√401) . . . seconds
Final answer:
To find when the pebble hits the ground, solve for time using the quadratic equation from the given height function, resulting in around 6 seconds.
Explanation:
To find how long the pebble takes to hit the ground, we need to find the time t when its height h becomes 0. This means we need to solve the equation for t when h = 0:
-16t² + 12t + 900 = 0
This is a quadratic equation, and we can solve it using various methods like factoring, the quadratic formula, or completing the square. Here, we'll use the quadratic formula:
t = (-b ± √(b² - 4ac)) / 2a
where a = -16, b = 12, and c = 900:
t = (-12 ± √(12² - 4 × -16 × 900)) / (2 × -16)
t = (-12 ± √(614400)) / -32
t ≈ (-12 ± 247.88) / -32
There are two possible solutions:
t1 ≈ 25.50 seconds
t2 ≈ -5.50 seconds (we can discard this since time cannot be negative)
The pebble will hit the ground approximately 6 seconds after it is thrown.
Match the reasons with the statements in the proof.
1. j||k, m∠3 = m∠1
If alternate interior angles are =, then lines are ||.
2. m∠1 = m∠2
Substitution
3. m∠2 = m∠3
Given
4. l||m
If lines are ||, then corresponding angles are =.
Answers
Given
2. m∠1 = m∠2
If lines are ||, then corresponding angles are =.
3. m∠2 = m∠3
Substitution
4. l||m
If alternate interior angles are =, then lines are ||.
Answer:
1-given
2-if lines are parallel, then corresponding angles are equal
3-Substitution
4-if alternate interior angles are equal then lines are parallel.
Step-by-step explanation:
Given j is parallel to k,[tex]m\angle3 =m\angle 1[/tex]
We have to prove that line l is parallel to m
We have to match reason with its correct statement in given proof.
1.j is parallel to k,[tex] m\angle 3=m\angle 1[/tex]
Reason:given
2.[tex]m\angle 1=m\angle 2[/tex]
Reason:if the lines are parallel , then corresponding angles are equal.
3.[tex]m\angle 2=m\angle 3[/tex]
Reason: substitution
4.line l is parallel to m
Reason: If alternate interior angles are equal ,then lines are parallel.
Need help asap please.
Answers
axis of symmetry = x = 3/2
coordinates of the vertex = (2,-9)
vertex form = y = (x-7)^2-19
solution set = no real solution
Help me ASAP!!! THANKS!
RANDOM ANSWERS WILL BE MODERATED!
Answers
Which logarithmic equation is equivalent to the exponential equation below?
4c = 256
A. log256 c = 4
B. logc 256 = 4
C. log4 c = 256
D. log4 256 = c
Answers
The logarithmic equation is equivalent to the exponential equation is [tex]log_4[/tex] 256 = c
The correct option is (D).
What is Logarithm Function?Logarithms are useful for solving exponential equations and investigating the properties of exponential functions. They will also be incredibly useful in calculus, where they will be used to compute the slope of various functions and the area circumscribed by various curves.
Given:
[tex]4^c[/tex] = 256
Now, writing into Logarithmic Function we can write it as
[tex]log_4[/tex] 256 = c
If we further solve it we get
256 = [tex]4^c[/tex] (log become exponential we move from either side of Equal Sign.)
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helppppppppppppppppppppppppppppppppppp
Answers
Justification:
1) For a function to have inverse function, the original function has to be one to one. This is for the original function two (or more) images cannot have different inputs. That condition is satisfied by the function m(x) = - 7x, since it is a straigh line.
2) the function b (x) = x^2 + 3 is a parabola. That means that, except by the vertex, every image is realated with two inputs.
For example, b(x) = 103 => x^2 = 103 - 3 = 100 => x = 10 and x = -10.
3) For the function d(x) = - 9, you cannot tell the input value for the image because it is the same image for any value of x.
4) The function p(x) = |x| also has a pair of images for the same value of x (excpet for the vertex).
For example, for x = - 100 and x = 100, p(x) = 100, so you cannot tell the x value given the p(x) value.
what is the value of z so that -9 and 9 are both solutipns fo x^2+z=103
Answers
[tex]\bf \begin{cases} x=-9\implies &x+9=0\\ x=9\implies &x-9=0 \end{cases} \\\\\\ (x+9)(x-9)=\stackrel{original~polynomial}{0}\implies x^2+0x-81=0 \\\\\\ x^2\underline{-81}=0\qquad \textit{and we can write }-81=\underline{-103+22} \\\\\\ x^2\underline{-103+22}=0\implies x^2+22=103[/tex]
What is the first step to be done when solving this equation: 3(x-2+3) + 5 = 25
Answers
3(x - 2 + 3) + 5 = 25
Ok, so the first step is to distribute the parentheses:
3(x - 2 + 3) = 3x - 6 + 9 <<< answer
Next step:
plug it in the equation
3x - 6 + 9 + 5 = 25
Simplify,
3x + 8 = 25
Then,
subtract 8 from both sides
3x = 25 - 8
so, 3x = 17
Divide both sides by 3
x = 17/3
PLEASE SOMEONE HELP ON THIS !!!
BRAINLIEST WILL BE GIVEN TO CORRECT ANSWER
TRY TO EXPLAIN IT....
Answers
B and C are both 30cm of water, but B filled up 1 minute faster than C
what is 1000x - 1x?
A) 101x
B) 1001x
C) 99x
D) 999x
Answers
Let's think of what 1000x means.
We know that multiplication is repeated addition. For example, 5(5) = 5+5+5+5+5. It's 5 added five times.
It's no different here. That means we have x 1000 times. If we look at a simpler situation:
5x - 3x, we have (x + x + x + x + x) - (x + x + x)
That means we're getting rid of 3 x's, which means we have 2x. If we have different coefficients but the same variable, we can just subtract or add the coefficients but keep the variable. That means:
4x - 2x = 2x and 10x - 5x = 5x
Now, we can do this problem. We want:
(1000-1)x = 999x
Your answer is D.
Hope this helps!
The complement of an angle is 8 times as large as the angle. find the measure of the complement
Answers
Answer:
80⁰
Step-by-step explanation:
Angle = x
Complement = 90 - x
Given:
8x = 90 - x
9x = 90
x = 10⁰
Complement = 90 - 10 = 80⁰
The complement of an angle is 8 times as large as the angle. The measure of other angle is 80⁰.
What are complementary angles?The complement of an angle is the sum of angles which is equal to 90 degrees.
Let one Angle = x
Complement = 90 - x
The complement of an angle is 8 times as large as the angle.
so,
8x = 90 - x
9x = 90
x = 10⁰
Complement = 90 - 10
= 80⁰
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What is the equation of the function y=3/x translated 4 units to the right and 5 units down
Answers
y = 3/(x -4) -5
Answer:
The required equation is [tex]g(x)=\frac{3}{x-4}-5[/tex].
Step-by-step explanation:
The given function is
[tex]y=\frac{3}{x}[/tex]
It can be written as
[tex]f(x)=\frac{3}{x}[/tex]
The transformation of a function is defined as
[tex]g(x)=f(x+a)+b[/tex]
Where, a represents the horizontal shift and b represents the vertical shift.
If a>0, then the function f(x) shifts a units left and a<0, then the function f(x) shifts a units right.
If b>0, then the function f(x) shifts b units up and b<0, then the function f(x) shifts b units down.
Since the function translated 4 units to the right and 5 units down, therefore the value of a is -4 and bis -5.
[tex]g(x)=f(x-4)-5[/tex]
[tex]g(x)=\frac{3}{x-4}-5[/tex] [tex][\because f(x)=\frac{3}{x}][/tex]
Therefore the required equation is [tex]g(x)=\frac{3}{x-4}-5[/tex].
Which of the following is the solution of 5e^2x-4=11
Answers
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There are 6 speakers at a conference: Ms. Sally, Ms. Elaine, Ms. Boo-Koo, Mr. Adam, Mr. Jones, and Mr. Tall. In how many ways can we order the speakers so that Mr. Adam doesn’t speak first?
Answers
Even though there are 6 speakers, Mr. Adam cannot go first so there are 5 choices for who goes first. That leaves 5 speakers who can go second. As we already picked two people, there are 4 speakers who can go third and 3 who can go fourth. That leaves 2 that can go fifth and 1 that is left for the last slot.
The total number of ways is given by (5)(5)(4)(3)(2)(1) = 600
helpp me pleasweeee?!??!!
Answers
The 2nd selection completes the table.
An airline requires carry on luggage to weigh at most 40 pounds. Your suitcase currently weighs 10 pounds. How many pounds p are available for you to fill your suitcase with other items?
Answers
30 pounds is available to fill the suitcase with other items.
What is Algebra?A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.
Variables are the name given to these symbols because they lack set values.
In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.
Given:
An airline requires carry on luggage to weigh at most 40 pounds.
The Suitcase presently carry 10 pounds.
Let p be the pound available to fill your suitcase with other items.
So, p= 40- 10
p = 30 pounds
Hence, 30 pounds is available to fill the suitcase with other items.
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Y varies directly as x and inversely as the square root of w; write the sentence as an equation.
Answers
y = kx
Y varies inversely as the square root of w
y = [tex] \frac{k}{ \sqrt{w} } [/tex]
The relationship where y varies directly as x and inversely as the square root of w can be represented by the equation y = k * (x / sqrt(w)). Here, k is a constant of proportionality.
Explanation:From the statement given, we can deduce an equation representing a direct proportionality to x and an inverse proportionality to the square root of w.
In mathematics, direct and inverse proportionality relationships are commonly depicted as y = kx and y = k/x respectively, where k is a constant. For direct proportionality, as x increases, y also increases. Contrastingly, for inverse proportionality, as x increases, y decreases.
Given the statement, we can represent the relationship as follows: y = k * (x / sqrt(w)).
Here, y varies directly as x and inversely as the square root of w. The constant k is the constant of proportionality which can be determined based on specific values of x, y and w.
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Look at the picture below // 99 points // PLEASEE HELPP
Answers
area of rectangle = 21*18 = 378
area of shaded = 842 - 378 = 464
answer
A) 464 square units
Write an equation for the line that is parallel to the given line and that passes through the given point.
y =3/4 x – 9; (–8, –18)
Answers
Identify the slope : our slope is 3/4
Remember that parallel equations have the same slope, so both slopes are 3/4
Now, we have to find the y-intercept. Simply plug everything into the slope intercept form equation.
y = mx + b
(-18) = (3/4)(-8) + b
Simplify.
-18 = -6 + b
Add 6 to both sides.
-18 + 6 = b
Therefore, our y-intercept is -12.
Now plug everything into the slope intercept form.
y = mx + b
y = 3/4x - 12
~Hope I helped!~
To write an equation for a line that is parallel to a given line and passes through a given point, use the point-slope form of the linear equation. The slope of the parallel line is equal to the slope of the given line. Plug in the values and simplify to get the equation.
Explanation:To find an equation for a line that is parallel to the given line and passes through the given point, we need to use the fact that parallel lines have the same slope. The slope of the given line is 3/4, so the slope of the parallel line will also be 3/4. Using the point-slope form of a linear equation, we can write the equation:
y - y1 = m(x - x1)
where (x1, y1) is the given point and m is the slope. Plugging in the values, we get:
y - (-18) = 3/4(x - (-8))
Simplifying the equation gives:
y + 18 = 3/4(x + 8)
Next, we can distribute the 3/4 to both terms in the parentheses:
y + 18 = 3/4x + 6
To isolate y, we subtract 18 from both sides:
y = 3/4x - 12
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the area of a rectangle is 20x^2-27x-8.the length is 4x+1. What is the width?
Answers
Explanation:
Let width be w
Then w(4x+1)=20x2−27x−8
So
(?x+?)(4x+1)=20x2−27x−8
Note that
5×4=20 and (−8)×(+1)=−8
⇒w(4x+1)
=(5x-8)(4x+1)=20x2+5x−32x−8
⇒w(5x−8)
A sample of n = 6 scores has a mean of m = 5. one person with a score of x = 12 is added to the distribution. what is the mean for the new set of scores?
Answers
Final answer:
To calculate the new mean after adding a score of 12 to the original 6 scores with a mean of 5, determine the total sum of the original scores, add 12, and divide by the new number of scores. The new mean for the 7 scores is 6.
Explanation:
To find the new mean when one person with a score of x = 12 is added to a sample of n = 6 scores with a current mean of m = 5, first calculate the total sum of the scores before the new score is added. This can be done by multiplying the mean by the number of scores. Then add the new score to this total and divide by the new number of scores.
Calculate the total sum of the original scores: Total sum = mean × number of scores = 5 × 6 = 30.Add the new score to the total sum: New total sum = 30 + 12 = 42.Calculate the new mean by dividing the new total sum by the new number of scores: New mean = New total sum ÷ new number of scores = 42 ÷ 7 = 6.So, the mean for the new set of scores is 6.
Choose the correct sum of the polynomials (4x3 − 2x − 9) + (2x3 + 5x + 3). 6x3 − 3x − 6 2x3 − 7x − 12 6x3 + 3x − 6 2x3 + 3x − 3
Answers
= 4x^3 - 2x - 9 + 2x^3 + 5x + 3
= 6x^3 + 3x - 6 (Answer: C)
Answer:
[tex]6x^3+3x -6[/tex]
Step-by-step explanation:
(4x3 − 2x − 9) + (2x3 + 5x + 3)
[tex](4x^3 - 2x - 9) + (2x^3 + 5x + 3)[/tex]
To add two polynomials, we remove the parenthesis
[tex]4x^3 - 2x - 9+2x^3 + 5x + 3[/tex]
To add it , we combine like terms. we add the like terms
[tex]4x^3+2x^3- 2x+ 5x - 9+ 3[/tex]
[tex]6x^3+3x -6[/tex]
Mario bought a shirt priced at $ 24.99 and a pair of pants priced at $ 39.99. For these items, he paid a total of $ 69.53 , sales tax included. What was the sales tax rate?
Answers
24.99 + 39.99 = 64.98
69.53-64.98 = 4.55
4.55/69.53 = 0.0654 = 6.5% sales tax
a) Explain...
b) What is the probability that a person without HIV will have a test come out positive?
c) What is the probability that a person with HIV will have a test come out negative?
d) What is the probability that a person with HIV will have a test come out positive?
Answers
a) The cell corresponding to a positive diagnosis when the
person has antibodies present as well as the cell for a negative diagnosis when
the person has no antibodies present are the cells representing a CORRECT
diagnosis.
The cell corresponding to a negative diagnosis when you
actually have antibodies present is called a FALSE NEGATIVE and is considered
as a TYPE II error.
The cell corresponding to a positive diagnosis when you
actually don't have antibodies present is called a FALSE POSITIVE and is considered
as a TYPE I error.
For the tree diagram for the questions below, refer to the
picture attached.
b) To know the probability that a person without HIV will be diagnosed positive (false positive), we just trace the tree diagram from population to "antibodies not present" to "positive". The tree diagram will give us a value of 0.00588.
ANSWER: The probability of a false positive is 0.00588 or 0.588%.
c) We do the same thing as the previous subproblem to determine the probability that a person with HIV will be diagnosed as negative. We trace the tree diagram from population to "antibodies present" to "negative". The tree diagram will give us a value of 0.003.
ANSWER: The probability of a false negative is 0.003 or 0.3%.
d) Same thing for this subproblem. We trace the tree diagram from population to "antibodies present" to "positive" to know that the value is 0.01997.
ANSWER: The probability that a person with HIV will be diagnosed as positive is 0.01997 or 1.997%.
The bear population increases at a rate of 3% each year. There are 1462 bears this year. How many bears will there be in 10 years?
Answers
Final answer:
The bear population will be approximately 1965 bears in 10 years.
Explanation:
To calculate the bear population in 10 years, we can use the formula for exponential growth:
P = P₀(1 + r)ⁿ
Where:
P is the final population
P₀ is the initial population
r is the growth rate as a decimal
n is the number of years
In this case, the initial population (P₀) is 1462, the growth rate (r) is 3% (0.03), and the number of years (n) is 10. Plugging these values into the formula, we get:
P = 1462(1 + 0.03)¹⁰ ≈ 1965.32
Therefore, there will be approximately 1965 bears in 10 years.
Please help ASAP!!! 42 points and will mark brainliest for RIGHT answer!!!
Answers
Makhaya is required to spend more than 300 minutes to complete assignments, and he can use at most 20 paper sheets. Let W denote the number of writing assignments he completes and M the number of math assignments he completes.
Write an inequality that represents the condition based on the number of minutes.
Write an inequality that represents the condition based on the number of paper sheets.
Answers
.. 75W +15M ≥ 300 . . . . . . . minutes
The constraint on paper is
.. 3W +M ≤ 20 . . . . . . . . . . . sheets of paper
The length of a rectangle is 5 ft less than three times the width, and the area of the rectangle is 28 ft2 . find the dimensions of the rectangle.
Answers
Then the length is 3w - 5.
The area = LW = 28
w(3w - 5) = 28
3w^2 - 5w = 28
3w^2 - 5w - 28 = 0
(3w + 7)(w - 4) = 0
3w + 7 = 0 or w - 4 = 0
w = -7/3 or w = 4
The width of a rectangle cannot be a negative number, so we discard w = -7/3.
The width is 4 ft.
The length is 3w - 5 = 3(4) - 5 = 12 - 5 = 7
The length is 7 ft
Answer: The dimensions are length 7 ft and width 4 ft.
The rectangle has a width of approximately 4.18ft and a length of approximately 7.55ft. These are obtained by setting up and solving a system of equations based on the given information.
Explanation:Let's start by setting up equations based on the problem statement. Let's denote the width of the rectangle as
w and the length as l. From the problem, we know two things: one is that the length is 5 feet less than three times the width, which can be written as l = 3w - 5. The second thing we know is that the area of the rectangle, which is obtained by multiplying the length by the width, is 28 square feet, written as l*w = 28 . By substituting the first equation into the second, we can solve for w: (3w - 5)*w = 28
. This simplifies to a quadratic equation 3w^2 - 5w - 28 = 0 which can be solved to give w=~4.18 ft and w=-2.02ft. Because the width cannot be negative, we discard the second solution. Substituting w=~4.18ft into l = 3w -5 gives
l=~7.55 ft . Therefore, the dimensions of the rectangle are approximately 4.18ft (width) and 7.55ft (length).
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