The solution of the equation 2.54-x+12= 21-42.5x+7 is x = 0.324
The equation is
2.54-x+12 = 21-42.5x+7
Rearrange the terms are do the suitable arithmetic operation in the equation
2.54-x+12= 21-42.5x+7
-x+12+2.54 = -42.5x+7+21
Add the like terms together
-x+14.54 = -42.5x+28
Here we have to rearrange the term and make the all the like terms in each sides
Move 14.54 to the right hand side and move -42.5x to the left hand side
Then the equation will become
-x+42.5x = 28-14.54
41.5x = 13.46
x = 13.46/41.5
x = 0.324
Hence, the solution of the equation 2.54-x+12= 21-42.5x+7 is x = 0.324
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Rational or Irrational
Answer:
rational : improper fractions,
mixed numbers
decimals that either ternimate or repeat,
irrational : decimals that do not terminate or repeat,
negative integers
Graph the line that represents a proportional relationship between d and t with the property
that an increase of 5 units in t corresponds to an increase of 8 units in d.
What is the unit rate of change of d with respect to t? (That is, a change of 1 unit in t will
correspond to a change of how many units in d?)
The unit rate is
Graph the relationship.
-9-8
9
8-
7+
6-
5
44
3
2
1
+2+
-3-
-4+
-5-
-6-
-7
-8-
-9-
The proportional linear equation relationship has a unit rate of 1.6
How to plot the graph the line of the relationship?From the question, we have the statement to be:
The relationship between d and t is a proportional relationship An increase of 5 units in t causes an increase of 8 units in d.The above means that
5 * t = 8* d
Evaluate the products
So, we have the following equation
5t = 8d
Divide both sides of the equation by 5
So, we have the following equation
t = 1.6d
Next, we plot the graph of the equation
See attachment for the graph of the equation t = 1.6d
Also, we have
t = 1.6d
The above equation is a proportional linear equation
A proportional linear equation is represented as
t = md
Where m represents the unit rate
So, we have
m =1.6
Hence, the unit rate of the relationship is 1.6
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a researcher conducts a study and finds that the difference between the population mean (μ) and the sample mean (m) is 4, the sample size (n) is 36, and the standard deviation of the population (σ) is 3.5. what is the value of cohen's d?
The value of cohen's d based on the population and the deviation given is 1.14.
How to calculate the value?It should be noted that based on the information, the researcher conducts a study and finds that the difference between the population mean (μ) and the sample mean (m) is 4, the sample size (n) is 36, and the standard deviation of the population (σ) is 3.5.
Sample mean = 4
Sample size = 36
Standard deviation = 3.5
Cohen D = Sample mean / Standard deviation
= 4 / 3.5
= 1.14
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3 5/11 s a decimal exspansion
By rational number algebra, the mixed number 3 5 / 11 is equivalent to the decimal expansion 3.[tex]\overline {45}[/tex].
How to transform a mixed number into a decimal number
According to the statement, we find a mixed number, that is, a notation to represent rational numbers that combines both integers and fractions. The procedure to obtain the decimal form of a mixed number is:
Transform the mixed number into a single rational number by using the following formula:Then, the decimal expansion of the mixed number 3 5 / 11 is:
3 5 / 11 = (3 · 11) / 11 + 5 / 11 = 33 / 11 + 5 / 11 = 38 / 11 = 3.[tex]\overline {45}[/tex]
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If ACDE were reflected across the line y = x, what would be the coordinates of AC'D'E?
Answer: D
Step-by-step explanation:
Reflecting over the line y=x means [tex](x,y) \longrightarrow (y,x)[/tex].
[tex]C(1, -5) \longrightarrow C'(-5, 1)\\\\D(8, -2) \longrightarrow D'(-2, 8)\\\\E(7, -6) \longrightarrow E'(-6, 7)[/tex]
the line passing through (8,7) and (6,5)
has the steepest possible slope. How do you know for
sure?
Answer:
find gradient:
5-7/6-8
=-2/-2
=1
1 is the steepest possible slope which is not undefined
pls help me solve these questions, i have no clue where to start
For given proof the missing statements are:
14 : NA + AL = NA + BM
15 : NL = NM
16 : Addition postulate of equality
In this question, we have been given a proof.
We need to write missing statements or reasons of the given proof.
We have been given NL ≅ NM and AL ≅ BM
We need to prove NA ≅ NB
1) NL ≅ NM; AL ≅ BM ................(Given)
2) NL = NA + AL and
NM = NB + BM ...........(Segment Addition Postulate)
3) NA + AL = NA + BM ...........(Subatitution)
4) NA + BM = NB + BM ..............(NL = NM)
5) NA = NB ............(Addition postulate of equality)
Therefore, for given proof the missing statements are:
14 : NA + AL = NA + BM
15 : NL = NM
16 : Addition postulate of equality
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the question is in the picture
Given
[tex]S=\mleft\lbrace1,2,3,4,5,6,7,8,9\mright\rbrace[/tex]by selecting two numbers from S, the number of possible outcomes is
[tex]n(S)=9\times9=81[/tex]Let E be the event that selecting two numbers randomly and their sum is 12 with replacement.
[tex]E=\lbrack(3,9),(4,8),(5,7),(6,6),(7,5),(8,4),(9,3)\}[/tex][tex]n(E)=7[/tex]The probability is
[tex]P(E)=\frac{n(E)}{n(S)}[/tex]Substitute values, we get
h is
[tex]P(E)=\frac{7}{81}[/tex]b)without replacement
Areplacementout
[tex]A=\mleft\lbrace(3,9\mright),(4,8),(5,7),(7,5),(8,4),(9,3)\}[/tex][tex]n(A)=6[/tex][tex]P(A)=\frac{n(A)}{n(S)}[/tex]Substitute the values, we get
[tex]P(A)=\frac{6}{81}=\frac{2}{27}[/tex]The probability that the sum is 12 if selecting two numbers without replacement
[tex]P(A)=\frac{2}{27}[/tex]The two legs of a right triangle are 9 and 7. Find the hypothesis of the triangle. Draw a Picture! Leave your answer in radical form.
The value of the hypotheses of the right angled triangle is found as √130.
What is meant by the right angled triangle?A right triangle is one in which one of interior angles is 90°. The hypotenuse is the longest side of the right triangle and also the side opposite this same right angle, while the height and base are the two arms of the right angle.In a right triangle, the right angle always has the largest.The longest side is the hypotenuse, which is the side opposite this same right angle.For the given right angled triangle,
The two side legs are given as 7 and 9.
By the Pythagorean theorem;
H² = P² + B²
Put the values;
H² = 7² + 9²
Simplifying;
H² = 49 + 81
H² = 130
Taking square root both sides.
H = √130
Thus, the value of the hypotheses of the right angled triangle is found as √130.
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HELP ASAP DUE IN AN HOUR
What are the similarities and differences between number 1 and 3?
What are the similarities and differences do you see between 3 and 4
For example:
Similar: both arithmetic/linear/common difference
Different: #1 is discrete #3 is continuous
WILL GIVE BRAIN
Arithmetic sequences, often known as the common difference, are patterns of numbers that rise or fall at a consistent rate.
What is the formula for calculating the average difference between two arithmetic sequences?
D is equal to a(n) - a(n - 1), where a(n) is the last term and a(n - 1) is the term before it in the series.
Answer and justification ,A common difference exists in every arithmetic sequence. We can enter the values of an, a1, and n into the arithmetic sequence formula and find the common difference if a problem offers us an, a1, and n but not the common difference.
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Gigi makes a scale drawing of a patio the drawing below shows the two scales she used to plan two patios of different sizes
Gigi makes a scale drawing of a patio the drawing, The two scales are
Scale 1 is defined as 35ft by 25ft Scale 2 is defined as 56 ft by 40 ftThis is further explained below.
What are dimensions?Generally, In mathematics, a dimension is a measurement that may be taken in one direction to determine the size or distance of an item, area, or space.
To put it another way, it is the process of determining the dimensions of anything by calculating its length, breadth, and height.
Actual ratio measurements with a scale of 1
For the Lenght
Length=7 cm
Length =7*5
Lenght=35 ft
Width=5 cm
Width=5*5
Width=25 ft
Therefore
The dimensions are 35 ft by 25 ft
Find the actual dimensions of a ratio with the scale 2
A scale of 2 is equal to
1 cm/8 ft
For Length=7 cm
L=7*8
L=56 ft
For Width=5 cm
W=5*8
W=40 ft
In conclusion, The dimensions are 56ft by 40f
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Pls help with this question
Answer:
3
Step-by-step explanation:
[tex]4x^6 y^3 - 3x^6 y^3 + 2x^2 y^2 - x^6 y^3 - x^2 y^2 +y \\ \\ =x^2 y^2+y \\ \\ =(-2)^2 (-1)^2 -1 \\ \\ =4-1 \\ \\ =3[/tex]
What is the equation of the line that passes through the point (-1, 5) and
has a slope of -3?
Answer:
Equation of line is given as y = mx + c, where m is the slope and c is the y-intercept.
Since slope is -3, equation is y = -3x + c.
Substitute point (-1,5) into equation to find c.
5 = -3(-1) + c
c = 2
Hence, equation of line is y = -3x + 2
Joven's scores in five of his quizzes in mathematics are 85, 88, 95, 86, and 92. if he needs an average quiz grade of 90 to be able to maintain his required grade for his scholarship, what score must he get for his sixth quiz?
Answer:
If, he got 94 marks for his sixth quiz, then, he will be able to maintain his required grade for his scholarship.
Step-by-step explanation:
given-
Joven's scores in five of his quizzes in mathematics are 85, 88, 95, 86, and 92.
let, the x score he gets for his sixth quiz.
then, he will be able to maintain his required grade for his scholarship.
he needs an average quiz grade of 90 to maintain his required grade for his scholarship.
according to the question--
using the formula of average=>
(85+88+95+86+92+x)/6=90
=>x=540-446
=>x=94
if, he got 94 marks for his sixth quiz, then, he will be able to maintain his required grade for his scholarship.
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Find an nth-degree polynomial function with real coefficients satisfying the given conditions. If you are using a graphing utility, use it to graph the function and verify the real zeros and the given function value. N=3; -3 and 4+4i are the zeros; f(-1)=82
The polynomial function is f(x) = x³ - 5x² + 8x + 96.
We have to find a polynomial of degree 3.We are given that the polynomial has -3, 4-4i, and 4+4i as its roots.We are also given that f(-1) equals 82.If x = -3 is a root, then:(x+3) is a factor of the polynomial.If x = 4-4i is a root, then:(x-4+4i) is a factor of the polynomial.If x = 4+4i is a root, then:(x-4-4i) is a factor of the polynomial.All the three roots are of the same polynomial.So, the polynomial is the product of these factors.f(x) = k(x+3)(x-4+4i)(x-4-4i)f(x) = k(x+3)[(x-4)² - (4i)²]f(x) = k(x+3)[x² + 16 - 8x + 16]f(x) = k(x+3)[x² - 8x + 32]f(x) = k[x³ - 8x² + 32x + 3x² - 24x + 96]f(x) = k[x³ - 5x² + 8x + 96]To find "k", we know that f(-1) = 82.f(-1) = k[(-1)³ - 5(-1)² + 8(-1) + 96]82 = k[-1 - 5 - 8 + 96]82 = k*82k = 1Thus, the polynomial is f(x) = x³ - 5x² + 8x + 96.To learn more about polynomials, visit :
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Chose the inequality shown by this diagram
Answer: C
Step-by-step explanation:
Open Circle: [tex]< , >[/tex]
Closed Circle: [tex]\leq ,\geq[/tex]
if f(x)=x^2, what is g(x)? the graph shows the points: (1, -1), (-1,3), (-3,-1)?
IMAGE OF QUESTION
ANSWER
[tex]g(x)=-(x+1)^2+3[/tex]EXPLANATION
We have that the function graphed g(x) is a transformation of:
[tex]f(x)=x^2[/tex]When the parent quadratic function f(x) is transformed, it takes the following form:
[tex]g(x)=a(x-h)^2+k[/tex]This form also represents the vertex form of a quadratic equation, where (h, k) is the vertex of the function.
This means that we can find the function by using the vertex of the function.
The vertex of a function is the maximum or minimum value of the function; from the given graph, it is a maximum value and it is located at:
[tex](h,k)=(-1,3)[/tex]Therefore, we can input this into the vertex form of the function:
[tex]\begin{gathered} g(x)=a(x-(-1))^2+3 \\ g(x)=a(x+1)^2+3 \end{gathered}[/tex]Now, we have to find the value of a. To do this, pick any coordinate point from the graph and input it into the function above.
Let us pick:
[tex](0,2)[/tex]Therefore, we have:
[tex]\begin{gathered} 2=a(0+1)^2+3 \\ 2=a\cdot1+3 \\ 2=a+3 \\ \Rightarrow a=2-3 \\ a=-1 \end{gathered}[/tex]Therefore, the function graphed above is:
[tex]g(x)=-(x+1)^2+3[/tex]-2x + absoulute value of y
x= -1/2
y= 6/5
Answer:
please rate as brainliest
What is the measure of
Answer:
180-90=90
90-x=6x+40
90-40=6x+x
30=7x
x=4.28
input x:
6(4.28)+40
=60.71
Is the relation in this graph a function?
Is the relation in this graph a function?
Answer:
the first is a function and the parabola is not a function
Step-by-step explanation:
A simple way to know why is the vertical line test.
Draw a vertical line and see whether if there are more than one point in the vertical line. If there's more than one point in the line then it's not a function, but if only one point on the vertical line it IS a function.
In the first graph, you'll notice that any vertical line you'll draw won't pass through two points ever. On the other hand, second graph will have two points found in the vertical line drawn by you, for example: (-2, 3);(-2, -3)
Wish you've enjoyed my answer because the more you enjoy maths, taste it, love it, and understand it, the more you will be successful in it. Good luck
A(2h, h), B(p, t), and C(2p, 3t) are three points on a straight line. B divides AC internally in the ratio 2 : 3. Express p in terms of t.
p expressed in terms of t is -2t.
What is the section formula?The formula used to calculate the coordinates of a point on a line segment that divides it into two segments is referred to as the section formula. Let's imagine that the line segment marked with the coordinates A (x₁,y₁) and B(x₂,y₂) has a point P(x,y) that splits it in the ratio m:n. We employ the section formula, which is mathematically defined to determine the coordinates of P.[tex]P(x,y) = (\frac{mx_{2} + nx_{1} }{m+n} ),(\frac{my_{2} + ny_{1}}{m+n} )[/tex]
Given points on the straight line are A(2h, h), B(p, t), and C(2p, 3t).
B divides AC internally in the ratio 2 : 3.
Using the section formula, we determine the coordinates of B
[tex]B(p,t) =(\frac{2*2p + 3*2h}{2+3} ),(\frac{2*3t+ 3h}{2+3} )[/tex]
[tex]B(p,t) =(\frac{4p + 6h}{5} ),(\frac{6t+ 3h}{5} )[/tex]
Equate the points,
[tex]p =\frac{4p+6h}{5}[/tex]
[tex]5p = 4p +6h[/tex]
[tex]p =6h[/tex]
[tex]t= (\frac{6t+ 3h}{5} )[/tex]
[tex]5t = 6t +3h[/tex]
[tex]t = -3h[/tex]
[tex]h =\frac{t}{-3}[/tex]
So, [tex]p =6h = \frac{6t}{-3} = -2t[/tex]
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Julia had pizza delivered. Julia tips $5 for deliveries or 10% of the purchase, whichever is higher. The pizza delivered cost $35.50.
How much will Julia tip?
10% of $35.50 = 0.10*35.50 = 3.55
If Julia goes with the 10% option, then she will tip $3.55
But she instead goes with the $5 tip because it's the larger of the two options. If the result of 10% of $35.50 was larger than 5, then she'd go with the 10% option instead.
Answer: $55 to the second power x [7 - 3] divided by 5
Answer:
Answer is 20 :).........
anyone boredddddddddddd?
Answer:
gay
Step-by-step explanation:
gay gay gay gay gay gay
Answer: i am
Step-by-step explanation:Black parents
18 ÷ 6 = 3, therefore 18 ÷ 0.6 = 0.3.
True
False
Answer:
True but I could be wrong!
Step-by-step explanation:
When we divide 18 by 0.6 we get 30 not 0.3. However, 30 as a decimal is 0.3.
Allen decides to make 3 cups of dark orange paint and 3 cups of light orange paint. How many ounces of yellow paint does he need
can someone help me outt plsss
Answer: 4.91(6)7
Step-by-step explanation:
divide 59/12 to get decimal form, also the 6 inside the brackets just mean the 6 repeats
need help on this, thanks
Answer:
x=15, y=7
Step-by-step explanation:
Angles that form a linear pair are supplementary, so:
[tex]2(5x-5)+3x-5=180 \\ \\ 10x-10+3x-5=180 \\ \\ 13x-15=180 \\ \\ 13x=195 \\ \\ x=15 \\ \\ \\ \\ 5y+5+20y=180 \\ \\ 25y+5=180 \\ \\ 25y=175 \\ \\ y=7[/tex]
Answer:
[tex]x=\boxed{15}\\\\y=\boxed{7}[/tex]
Step-by-step explanation:
Angles on a Straight Line Theorem
The sum of angles on a straight line is equal to 180°.
Solving for x:
[tex]\boxed{\begin{aligned}2(5x-5)^{\circ}+(3x-5)^{\circ}&=180^{\circ}\\2(5x-5)+(3x-5)&=180\\10x-10+3x-5&=180\\13x-15&=180\\13x-15+15&=180+15\\13x&=195\\13x \div 13 &=195\div 13 \\x&=15\end{aligned}}[/tex]
Solving for y:
[tex]\boxed{\begin{aligned}(5y+5)^{\circ}+20y^{\circ}&=180^{\circ}\\(5y+5)+20y&=180\\5y+5+20y&=180\\25y+5&=180\\25y+5-5&=180-5\\25y&=175\\25y \div 25 &=175\div 25 \\y&=7\end{aligned}}[/tex]
Therefore:
[tex]x=\boxed{15}\\\\y=\boxed{7}[/tex]
Complete each statement from the information given and state the reasons and the triangle criterion you used
[tex]\angle TIG \cong \angle AIN[/tex] by vertical angles, so [tex]\triangle TIG \cong \triangle NIA[/tex] by SAS.
Segment BD bisects ZABC. Solve for 2. Round to the nearest tenth, if necessary.
(Image not necessarily to scale.)
Answer:
x = 10.5 units=================================
Angle bisector theorem:
An angle bisector of a triangle divides the opposite side into two proportional parts as the two sides of same angle.Applying to the given triangle:
AB / BC = AD / DC, orx / 14 = 6 / 8Solve it for x:
x = 14*6/8x = 10.5