Answer:
18°
Step-by-step explanation:
The m∠A ≅ x+32
The angle opposite 36° is 36° & the angle opposite x+126 is x + 126: Vertical angles theorem
The three angles in the triangle with m∠A are 36°, x+126°, and x+32°(m∠A)
36+x+126+x+32 = 180 : Angles in a triangle theorem
194+2x = 180
2x = -14
x= -7
m∠A ≅ -14+32
m∠A≅ 18°
I hope this helps!!!
Relationship 1 has an initial value of 5 and a rate of change of 3/2. Relationship 2 has a rate of change of 5/6. Explain how to find the initial value for Relationship 2 if Relationship 1 and Relationship 2 each have the same input when their output value is 50.
The initial value for Relationship 2 is -10.
To find the initial value for Relationship 2, let's first identify what we know about the two relationships. Relationship 1 has an initial value of 5 and a rate of change of 3/2.
This means that for every unit increase in the input variable, the output variable will increase by 3/2 units. Relationship 2 has a rate of change of 5/6, which means that for every unit increase in the input variable, the output variable will increase by 5/6 units.
We also know that both relationships have the same output value of 50 when their input value is the same. This means that we can set the two relationships equal to each other and solve for the initial value of Relationship 2.
Let's represent the input variable with the letter x. Then, we can write the two relationships as follows:
Relationship 1: y = 3/2x + 5 (where y represents the output value)Relationship 2: y = 5/6x + b (where b represents the initial value)Since we know that both relationships have an output value of 50 when their input value is the same, we can set the two equations equal to each other and solve for b.
This gives us:3/2x + 5 = 5/6x + bb = 50 - 5/6xNow, we need to determine the value of x that makes both relationships have an output value of 50. We can set the two equations equal to each other and solve for x. This gives us:3/2x + 5 = 50 - 5/6x9/6x + 5 = 50 - 5/6x15/6x = 45x = 18
Now that we know x is 18, we can plug this value into either of the equations to solve for b. Let's use the equation for Relationship 2:y = 5/6x + by = 5/6(18) + bb = 5/6(18) - 50b = -10
Therefore, the initial value for Relationship 2 is -10.
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The product of two fractions is 2/1/2 if one of the fraction is 7/1/2 find the other
explain the steps to finding the vertex of g(x) = 3x2 + 12x + 15
Answer:
The vertex of this parabola, [tex](-2, 3)[/tex], can be found by completing the square.
Step-by-step explanation:
The goal is to express this parabola in its vertex form:
[tex]g(x) = a\, (x - h)^2 + k[/tex],
where [tex]a[/tex], [tex]h[/tex], and [tex]k[/tex] are constants. Once these three constants were found, it can be concluded that the vertex of this parabola is at [tex](h,\, k)[/tex].
The vertex form can be expanded to obtain:
[tex]\begin{aligned}g(x)&= a\, (x - h)^2 + k \\ &= a\, \left(x^2 - 2\, x\, h + h^2\right) + k = a\, x^2 - 2\, a\, h\, x + \left(a\,h^2 + k\right)\end{aligned}[/tex].
Compare that expression with the given equation of this parabola. The constant term, the coefficient for [tex]x[/tex], and the coefficient for [tex]x^2[/tex] should all match accordingly. That is:
[tex]\left\lbrace\begin{aligned}& a = 3 \\ & -2\,a\, h = 12 \\& a\, h^2 + k = 15\end{aligned}\right.[/tex].
The first equation implies that [tex]a[/tex] is equal to [tex]3[/tex]. Hence, replace the "[tex]a\![/tex]" in the second equation with [tex]3\![/tex] to eliminate [tex]\! a[/tex]:
[tex](-2\times 3)\, h = 12[/tex].
[tex]h = -2[/tex].
Similarly, replace the "[tex]a[/tex]" and the "[tex]h[/tex]" in the third equation with [tex]3[/tex] and [tex](-2)[/tex], respectively:
[tex]3 \times (-2)^2 + k = 15[/tex].
[tex]k = 3[/tex].
Therefore, [tex]g(x) = 3\, x^2 + 12\, x + 15[/tex] would be equivalent to [tex]g(x) = 3\, (x - (-2))^2 + 3[/tex]. The vertex of this parabola would thus be:
[tex]\begin{aligned}&(-2, \, 3)\\ &\phantom{(}\uparrow \phantom{,\,} \uparrow \phantom{)} \\ &\phantom{(}\; h \phantom{,\,} \;\;k\end{aligned}[/tex].
Anyone Help !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
20181610Hope this helpsGiven f(x)=3x^2−2x+1
What is the value of f(−23)?
1
7/3
3
11/3
The output value of f( -23 ) in the function f( x ) = 3x² - 2x + 1 is 1634.
What is the output value of f(-23) in the given function?A function is simply a relationship that maps one input to one output.
Given the data in the question;
f( x ) = 3x² - 2x + 1f( -23 ) = ?To determine the output value of f( -23 ), replace all the occurrence of x with -23 in the function and simplify.
f( x ) = 3x² - 2x + 1
f( -23 ) = 3( 529 ) + 46 + 1
f( -23 ) = 1587 + 46 + 1
Add the numbers
f( -23 ) = 1587 + 47
f( -23 ) = 1634
Therefore, the output value of f( -23 ) is 1634.
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11/3
Step-by-step explanation:
In the question, it's supposed to be " f ( -2/3 )"
HELP PLEASE I HAVE A COUPLE MORE! Please help and fast would be great! BRAINLEST!!!
Answer:
b. slope: -5; y-intercept: 7
Step-by-step explanation:
We are given the equation:
y + 5x = 7
To find the slope and y-intercept of the line, it would be helpful to get the equation into slope-intercept form. The slope-intercept form of a line is:
y = mx + b
where m is the slope and b is the y-intercept.
Lets get the given equation into slope-intercept form.
y + 5x = 7
Subtract 5x from both sides.
y = -5x + 7
Now we have the equation in slope-intercept form. By looking at the equation, we can see that the slope is -5 and that the y-intercept is 7.
The correct answer choice would be b.
I hope you find my answer and explanation to be helpful. Happy studying.
f(x)= (x+1)³ find f(x)¹
answer plz
Answer:
f(x)^-1=[tex]\sqrt[3]{x}[/tex]-1
f(x)=x^3+1+3x^2+3x
Step-by-step explanation:
1. Consider the following scenario...
Robert earned $10, which was 4 less than twice what Eric earned. How much money
did Eric earn?
In a complete sentence, state the correct equation for the scenario.
Identify and define your variable. Then, using the correct vocabulary, and math
process, explain how to accurately solve the problem. Lastly, In a complete sentence
define your answer.
Answer:
Therefore, Eric earned $7
Step-by-step explanation:
Robert earned $10, which was 4 less than twice what Eric earned. How much money did Eric earn?
Let the number of money Eric earned = x
So we have:
$10 = 2× x - 4
10 = 2x - 4
Collect like terms
2x = 10 + 4
2x = 14
Divide both sides by 2
x = 14/2
x = $7
Therefore, Eric earned $7
Identify the matrix transformation of ΔFGH, which has coordinates F(0, −1),G(5, −1), and H(4, 3), for a dilation by a factor of 1/4. Then identify the correct vertices of the image.
CAN SOME1 PLSSS HELP QUICKLY
The matrix Transformation for ΔFGH, which has coordinates F(0, −1),G(5, −1), and H(4, 3), for a dilation by a factor of 1/4 is:\begin{pmatrix}x'\\y'\end{pmatrix}=\begin{pmatrix}1/4 & 0\\0 & 1/4\end{pmatrix}\begin{pmatrix}x\\y\end{pmatrix}.
A dilation is a type of matrix transformation that changes the size of a geometric figure, but not its shape, by multiplying all its coordinates by a constant factor.
To identify the matrix transformation of ΔFGH, which has coordinates F(0, −1),G(5, −1), and H(4, 3),
for a dilation by a factor of 1/4, we will first find the center of a dilation using the formula:
(x,y)\rightarrow (\frac{1}{4}x,\frac{1}{4}y)
Since this is a dilation with a center of origin, the center of dilation is (0, 0).
Next, we will find the image of each vertex by multiplying its coordinates by the dilation factor:
F(0, -1) becomes (0, -1/4)G(5, -1) becomes (5/4, -1/4)H(4, 3) becomes (1, 3/4)
Therefore, the vertices of the image are F’(0, -1/4), G’(5/4, -1/4), and H’(1, 3/4).
The matrix transformation for the dilation by a factor of 1/4 is:
\begin{pmatrix}x'\\y'\end{pmatrix}=\begin{pmatrix}1/4 & 0\\0 & 1/4\end{pmatrix}\begin{pmatrix}x\\y\end{pmatrix}
So, the matrix transformation for ΔFGH, which has coordinates F(0, −1),G(5, −1), and H(4, 3), for a dilation by a factor of 1/4 is:\begin{pmatrix}x'\\y'\end{pmatrix}=\begin{pmatrix}1/4 & 0\\0 & 1/4\end{pmatrix}\begin{pmatrix}x\\y\end{pmatrix}.
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Determine the end behavior, number of zeros, and maximum number of turns for the given function.
h(x)=3x^3-2x^2-12x+8
Answer:
the end behavior of h(x) matches the end behavior of x
3 zeros, 2 turns
Step-by-step explanation:
The polynomial is of degree 3, so will have a maximum of ...
3 zeros3-1 = 2 turnsBecause the degree is odd the signs of the end values of h(x) will be different. Because the leading coefficient is positive, the signs of the end values of h(x) will match the sign of x:
as x → -∞, h(x) → -∞as x → ∞, h(x) → ∞Florence wants to spend no more than $9 on onions. Will she be able to buy 3.4 pounds of onions? Complete the explanation. Enter your answer as a decimal rounded to tenths.
Florence is able to buy pounds of onions at most, which means she able to buy 3.4 pounds of onions.
Answer:
5 divide by 6 is the axanimer times the molty didget nimber
Step-by-step explanation:
thats it
What is the least number to be subtracted from 1690 to make it perfect square
9
the square root of 1690 is 41.109... so, now take the 41 and square it: 41² = 1681.
1690 - 1681 = 9
How many significant figures are in the number 5.6 x 10-4 ?
Answer:
(52) is the answer
Step-by-step explanation:
it may help you to understand.if you are looking for their number then it is 2.
The box plots display data collected when two teachers asked their classes how many pencils they lose in a school year.
A box plot uses a number line from 5 to 47 with tick marks every one unit. The box extends from 8 to 14 on the number line. A line in the box is at 11. The lines outside the box end at 7 and 45. The graph is titled Mr. Johnson's Class, and the line is labeled Number Of Pencils.
A box plot uses a number line from 0 to 51 with tick marks every one unit. The box extends from 12 to 21 on the number line. A line in the box is at 14.5. The lines outside the box end at 0 and 50. The graph is titled Mr. Simpson's Class, and the line is labeled Number Of Pencils.
Which class lost the most pencils overall based on the data displayed?
Mr. Simpson's class; it has a larger median value 14.5 pencils
Mr. Johnson's class; it has a larger median of 11 pencils
Mr. Simpson's class; it has a narrow spread in the data
Mr. Johnson's class; it has a wide spread in the data
Answer:
A) Mr. Simpson's class; it has a larger median value 14.5 pencils.
Step-by-step explanation:
A box plot is a visual display of the five-number summary:
Minimum value = The value at the end of the left whisker.Lower quartile (Q₁) = The left side of the box.Median (Q₂) = The vertical line inside the box.Upper quartile (Q₃) = The right side of the boxMaximum = The value at the end of the right whisker.From inspection of the box plots (attached), the measures of central tendency (median) and dispersion (range and IQR) are:
Mr Johnson's class:
Median = 11IQR = Q₃ - Q₁ = 14 - 8 = 6Range = max - min = 45 - 7 = 38Mr Simpson's class:
Median = 14.5IQR = Q₃ - Q₁ = 21 - 12 = 9Range = max - min = 50 - 0 = 50In a box plot, the median is a measure of central tendency and tells us the location of the middle value in the dataset. It divides the data into two equal halves, with 50% of the values falling below the median and 50% above it.
The median number of pencils lost in Mr Simpson's class is greater than the median number of pencils lost in Mr Johnson's class. Therefore, Mr. Simpson's class has a larger median value.
The spread of data in a dataset can be measured using both the range and the interquartile range (IQR).
As Mr Simpson's class has a greater IQR and range than Mr Johnson's class, the data in Mr Simpson's class is more spread out than in Mr Johnson's class.
In summary, as Mr Simpson's class has a larger median 14.5 and a wider spread of data, then Mr Simpson's class lost the most pencils overall.
Find the quotient of 6a³ ÷ 3a.
Answer:
cancel the terms and you will get the answer which is 2
Answer:
i hope i have been useful buddy.
good luck
Which number set below in
ordered from least to greatest
Answer: The answer is C
Step-by-step explanation:
1.2% is basically 0.012. 12% is 0.12 and then 1.02 and 1.2. what i'm trying to get at here is when you are working with percents, 100% is 1. so anything below that is going to be a decimal, for an example, 34% would be 0.34, and 68% would be 0.68. Also 0.18% would be 0.0018. Once you know how to convert percentages to decimals, doing those kind of questions is pretty easy.
PLS if you answer right I’ll like and give stars PLSS
P(x)=2x^4-x^3+2x^2-k
P(x) divided by (x+1) has a remainder of 2
What is the value of k?
Answer: k = 3
Step-by-step explanation:
1. Find the x of x-1 (which is 1)
2. Plug 1 into the function P(x) and solve.
2(1)^4 - (1)^3 + 2(1)^2 - k = 3 - k
3. Set 3 - k = 0 and solve.
-8/9 + (-2)/57
find the absolute value of the following rational number
The absolute value of the Rational number -474/513 is 474/513.
To find the sum of the rational numbers -8/9 and -2/57, you need to have a common denominator. The least common multiple (LCM) of 9 and 57 is 513. So, you can rewrite the fractions with a common denominator:
-8/9 = (-8/9) * (57/57) = -456/513
-2/57 = (-2/57) * (9/9) = -18/513
Now, you can add the fractions:
-456/513 + (-18/513) = (-456 - 18)/513 = -474/513
To find the absolute value of the rational number -474/513, you simply ignore the negative sign and take the value as positive:
| -474/513 | = 474/513
Therefore, the absolute value of the rational number -474/513 is 474/513.
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An inheritance of $33,000 will be divided between sisters Hannah and Taylor. If Hannah is to receive $3000 less than Taylor, how much does each sister receive?
Determine if JK and LM are parallel, perpendicular, or neither.
The slope of JK is -4
The slope of LM is 1/4
Answer:
neither
Step-by-step explanation:
using (y2-y1)/(x2-x1) you get the actual slopes which are JK = 3/2 and LM = -3/2
since they are neither the same (parallel), opposite reciprocals (perpendicular), they are neither parallel nor perpendicular
someone please finish and explain this! i'm giving brainliest, tysm :)
Answer:
Step-by-step explanation:
Hours: 1 5 10 15 20 25
Minutes: 60 300 600 900 1,200 1,500
These show proportional relationship because they are all times hour by 60 minutes and the hours go by 5 hours, each.
what are the other terms for slope?
Answer:
gradient or steepness
Answer:
gradient, steepness,
Step-by-step explanation:
Least common denominator of 1/8 2/9 and 3/12
Answer:
least common denominator is 72
8 goes into 72 9 times
9 goes into 72 8 times
12 goes into 72 6 times
Step-by-step explanation:
Four bottles of juice cost $68.40. What would be the cost of one bottle of juice?
A. $17.10
B. $18.30
C. $34.20
D. $71.14
Answer:
17.10
Step-by-step explanation:
Take the total cost and divide by the number of bottles
68.40/4
17.10
Elena receives $95 per year in simple interest from three investments totaling $2100 . Part is invested at 3%, part at 4%, and part at 5%. There is $1000 more invested at 5% than at 4%. Find the amount invested at each rate.
The amount invested at 3% is $
the amount invested at 4% is $
and the amount invested at 5% is $
The amount invested at 3% is $400, the amount invested at 4% is $700, and the amount invested at 5% is $1000.
Let's assume the amount invested at 4% is x dollars.
According to the given information, the amount invested at 5% is $1000 more than the amount invested at 4%.
So, the amount invested at 5% is (x + $1000).
The total amount invested is the sum of the amounts invested at each rate, which is $2100.
Therefore, we can write the equation:
x + (x + $1000) + (amount invested at 3%) = $2100
Now, we can calculate the amount invested at 3%.
We subtract the sum of the amounts invested at 4% and 5% from the total investment:
(amount invested at 3%) = $2100 - (x + x + $1000) = $2100 - (2x + $1000)
Given that Elena receives $95 per year in simple interest from the investments, we can use the formula for simple interest:
Simple Interest = Principal × Interest Rate
The interest earned from the investment at 3% is (amount invested at 3%) × 0.03, the interest earned from the investment at 4% is (amount invested at 4%) × 0.04, and the interest earned from the investment at 5% is (amount invested at 5%) × 0.05.
According to the problem, the total interest earned is $95.
So we can write the equation:
(amount invested at 3%) × 0.03 + (amount invested at 4%) × 0.04 + (amount invested at 5%) × 0.05 = $95
Now we can substitute the expression for (amount invested at 3%) and solve for x.
Once we have the value of x, we can calculate the amounts invested at 3%, 4%, and 5% using the given information.
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what is the distance between 1/3 and 1/2
Answer:
1
Step-by-step explanation:
GIVING BRAINIEST!
FIRST CORRECT ANSWER GETS BRAINLIEST
Answer:
Im pretty sure its C.
Step-by-step explanation:
because 8/2 could be 8 to the power of 2
sorry if wrong :(
A movie with an aspect ratio of 1.8:1 is shown as a letter-boxed image on a newer 48-
inch 16:9 television. Calculate the percent of the screen's area that is occupied by the
image.
Answer: 1.25%
Step-by-step explanation:
Given: A movie with an aspect ratio of 1.8:1 shown as a letter-boxed image.
Since a for l:b , Area = l x b
Area of letter box = 1.8 x 1 = 1.8 sq. units
Screen's ratio= 16:9
Area of screen = 16 x 9 = 144 sq. units
The percent of the screen's area that is occupied by the image =[tex]\dfrac{1.8}{144}\times100=1.25\%[/tex]
Hence, the percent of the screen's area that is occupied by the
image. =1.25%
evaluate the following expression when x=-5 and y=25 5|x|-y3 over x
Answer:
10
Step-by-step explanation:
This question is asking you for the value of the expression when you replace x and y with it's numerical values.
X is equivalent to -5 which means we can replace x with -5, same story with y but different number.
Now that you know this, you can put this into your calculator to spit out a result.
[tex]\frac{5|(-5)|-3(25)}{-5}=10[/tex]
Answer:
3,120
Step-by-step explanation:
Tom and Philip were given the graph of a linear function and asked to find the slope. Tom says that the slope is
1
2
while Philip says that the slope is 2.
Which reason correctly justifies Tom's answer?
Answer:
the answer is d
Step-by-step explanation:
i took it on usatestprep.