\( \frac{14}{8} = \frac{x}{20} \)
\(14 \times 20 = 8 \times x\)
\(280 = 8x\)
\(8x = 280\)
\(x = \frac{280}{8} \)
\(x = 35\)
Using this let us find the proportional fractions :-\( \frac{14}{8} = \frac{x}{2 0 } \)
\( \frac{14}{8} = \frac{35}{20} \)
\(∴the \: proportional \: fractions \:are :\)
\( \frac{14}{8} :: \frac{35}{20} \)
Which equation is a linear function
Answer:
\(y=\frac{x}{2} -5\)
Step-by-step explanation:
Linear functions are those whose graph is a straight line.
A linear function has the following form: \(y=f(x)=a+bx\)
A linear function has one independent variable and one dependent variable.
The independent variable is x and the dependent variable is y.
The degree of a linear equation must be 0 or 1 for each of its variables.
1. The degree of the variable y is 1 which means it is not linear.
2. The degree of the variable y is 1 and the degree of variable x is 1 so it is linear.
3. The degree of the variable y is 1 and the degree of the variable x is 2 so it is not linear.
4. The degrees of the variable violates the linear equation definition so it is not linear.
Three pizza are shared equally among 12 people.what fraction of a pizza will each person get?
A
4/1
B
3/1
Answer:
d) 1/12
Step-by-step explanation:
Which shows the correct way to
calculate the percent change if the
original value of your stock was $750
and the new value of your stock is
$1,000?
A. (1,000+ 750)/750 = 230%
B. (750-1,000)/1,000 = -25%
C. (1,000-750)/750 = 33%
The correct way to calculate the percent change between the original value of $750 and the new value of $1,000 is option C.
C. (1,000 - 750)/750 = 250/750 = 1/3 ≈ 0.3333 = 33.33%
Therefore, the correct answer is option C, which represents a percent change of approximately 33.33%.
Can someone help explain how i would solve this using the pascals triangle? Like how to convert it into (x + 4)^3 = ax^b+cx^d+ex^f+g
Pascal's triangle is a way of organizing the coefficients in the binomial expansion, \((a+b)^n\):
n = 0 => 1
n = 1 => 1 1
n = 2 => 1 2 1
n = 3 => 1 3 3 1
n = 4 => 1 4 6 4 1
and so on, where each row starts and ends with a 1, and the numbers in the middle are obtained by adding together the two numbers directly above and to the left. These coefficients are then mulitplied by descending powers of a and descending powers of b (or vice versa, because the pattern is symmetric), starting with 0 and going up to n.
In this case, we have
\((x+4)^3=1\cdot x^3\cdot4^0+3\cdot x^2\cdot4^1+3\cdot x^1\cdot4^2+1\cdot x^0\cdot4^3\)
Notice how the powers of x and 4 always sum to n = 3.
Simplifying, we get
\((x+4)^3=x^3+12x^2+48x+64\)
so that
a = 1
b = 3
c = 12
d = 2
e = 48
f = 1
g = 64
What is the volume of a cylinder of a radius if 12cm and height 8cm
Answer:
V≈3619.11cm³
Step-by-step explanation:
Answer:
3619.11 cm³
Step-by-step explanation:
V = πr²h
π · 12² · 8
3619.11 cm³
Which number line represents the solution of
5x + 3 ≥ -7 ?
Answer:
try D
Step-by-step explanation:
C/4 - 5 = 4
Solve for C
Answer: C = 36
Step-by-step explanation: 36 divided by 4 minus 5 = 4 so 36 is C
Hope it helped :D
of the three stress-strain curves shown here (a, b, c), which of the following statements is most likely true. of the three stress-strain curves shown here (a, b, c), which of the following statements is most likely true. material b is likely a metallic material because it shows brittle behavior. material a is likely a ceramic material because it shows brittle behavior. material c is likely a polymeric material because it shows brittle behavior. material c is likely a ceramic material because it shows ductile behavior. material b is likely a ceramic material because it shows brittle behavior.
Based on the stress-strain curves shown, the most likely statement is that Material A is likely a ceramic material because it shows brittle behavior.
Brittle behavior is characterized by low ductility and little plastic deformation before failure, which is evident in the stress-strain curve for Material A. The curve for Material B shows some plastic deformation before fracture, which indicates a higher level of ductility than Material A. The stress-strain curve for Material C shows a high level of ductility, with a long plastic deformation region before fracture. This behavior is typical of polymeric materials, so Material C is most likely a polymeric material.
It is not possible to determine the specific type of material based solely on stress-strain curves, as many materials can exhibit similar behaviors. Additionally, it is not accurate to say that Material B or Material C are likely ceramic materials based on their stress-strain curves, as both exhibit significant plastic deformation before failure, which is not typical of brittle ceramics.
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A student takes a subway to a public library. The table shows the distance d (in miles) the student travels in t minutes. Determine whether the data can be modeled by a linear, exponential, or a quadratic function and then select a function rule to model the situation.
t
d
1
0.83
2
1.66
3
2.49
4
3.32
5
4.15
The linear function that models the situation is given as follows:
d = 0.85t.
What is a proportional relationship?A proportional relationship is a relationship in which a constant ratio between the output variable and the input variable is present.
The equation that defines the proportional relationship is a linear function with slope k and intercept zero given as follows:
y = kx.
The slope k is the constant of proportionality, representing the increase or decrease in the output variable y when the constant variable x is increased by one.
The constant ratio for this problem is given as follows:
k = 0.83, as each division of d by t has a result of 0.83.
Hence the equation is given as follows:
d = 0.83t.
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What are the solutions of the equation x4 - 5x2 - 14 = 0? Use factoring to solve.
x = +/- √7 and x = +/- √2
x = +/- i√7 and x = +/- i √2
x = +/- i √7 and x = +/- √2
x = +/- √7 and x = +/- i √2
Answer:D
Step-by-step explanation:
The solution is: x = +/- √7 and x = +/- i √2 are the solutions of the equation x^4 - 5x^2 - 14 = 0.
What is simplification?Simplify simply means to make it simple. In mathematics, simply or simplification is reducing the expression/fraction/problem in a simpler form. It makes the problem easy with calculations and solving.
here, we have,
given that,
we have to factorize the equation,
The given equation is
x^4 - 5x^2 - 14 = 0
To factor this expression, we can change variables to make easier to see the solution.
x^4 = y^2
and
x^2 = y
Applying the change, we have
y^2 - 5y - 14 = 0
Now, you can observe that to factor this expression, we just need to find two number which product is 14 and which difference is 5, such numbers are 7 and 2.
y^2 - 5y - 14 = 0
or, (y-7) ( y+2) = 0
However, remember that , y = x^2
so, (x^2-7) ( x^2+2) = 0
Applying the zero property, we have
x = +/- √7
and x = +/- i √2
As you can see, the equation has two real solutions and two complex solutions.
Therefore, the right answer is the last choice.
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How is the sum expressed in sigma notation?
13 + 21 + 29 + 37 + 45
The sum 13 + 21 + 29 + 37 + 45 can be expressed using sigma notation as: \(\sum^5_{n=1} 5 + 8n\)
How to determine the sigma notationFrom the question, we have the following parameters that can be used in our computation:
13 + 21 + 29 + 37 + 45
From the above sequence, we have
First term = 13
Common difference = 8
This means that
T(n) = 5 + 8n
So, we have
Sum = 5 + 8n from n = 1 to 5
When represented as sum notation. we have
\(\sum^5_{n=1} 5 + 8n\)
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If the length of the legs of a right triangle are 13 and 13,what is the length of the hypotenuse? Round your answer to the nearest tenth,if necessary.
Answer:
a² + b² = c²
13² + 13² = c²
169 + 169 = c²
338 = c²
c = √338 or 18.385 or 13√2
Answer:
18.4
Step-by-step explanation:
13² + 13² = x²
169 + 169 = x²
338 = x²
x = 18.38477....
I need help asap thx
Answer:
with what lol
Step-by-step explanation:
Answer:
Theres no question
Step-by-step explanation:
construct a venn diagram illustrating the sets below.
U = {1,2,3,4,5,6,7,8,9}
Y={1,3,4,6}
Z={1,4,8}
Change the Venn diagram if needed
The Venn Diagram for these given sets is graphed at the end of the answer.
What is a Venn Diagram?A Venn Diagram uses circles to show if elements belong to one set, or multiple sets, in the intersection.
For this problem, we have that:
Elements 1 and 4 belong to the intersection of sets Y and Z.Elements 3 and 6 belong only to set Y.Element 8 belongs only to set Z.The remaining elements belong only to the universal set U.The Venn Diagram showing this is inserted at the end of the answer. There are a two erasers marks because of typing mistakes on my part.
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Answer:
Step-by-step explanation:
2
5. Many people believe that criminals who plead guilty tend to get lighter sentences than those
who are convicted in trials. The accompanying table summarizes randomly selected sample
data for defendants in burglary cases in a specific city. All of the subjects had prior prison
sentences. Use a 0.05 significance level to find the critical value needed to test the claim that
the sentence (sent to prison or not sent to prison) is independent of the plea.
Sent to prison
Not sent to prison
Guilty Plea
392
564
Not-Guilty Plea
58
14
(1 point)09.488
03.841
042.557
05.991
Answer:
Is 03.841
Step-by-step explanation:
To find the critical value needed to test the claim that the sentence is independent of the plea, we need to perform a chi-square test of independence. The critical value is based on the significance level (α) and the degrees of freedom.
In this case, the given significance level is 0.05. Since the table represents a 2x2 contingency table (two categories for plea and two categories for sentence), the degrees of freedom (df) can be calculated as (number of rows - 1) * (number of columns - 1) = (2 - 1) * (2 - 1) = 1.
To find the critical value at a significance level of 0.05 with 1 degree of freedom, we consult a chi-square distribution table or use statistical software.
The critical value for a chi-square test with 1 degree of freedom and a significance level of 0.05 is approximately 3.841.
Therefore, the correct answer is 03.841.
Identify the domain and range of y = [x] + 2.
DOMAIN X CAN BE ALL REAL NUMBERS.
NO MATTER THE VALUE OF X YOU INSERT IT WILL ALWAYS TURN POSITIVE PLUS A POSTIVE TWO. MEANING THERE IS NO WAY THAT YOUR Y CAN BE EQUAL TO 0 OR A NEGATIVE NUMBER THE FUNCTION IS ALWAYSINCREASING FOR ANY VALUE OF Y.RANGE: Y IS ALL THE REAL NUMBERS GREATER THAN 0.
Identify the slope and y intercept of each graph. Drag the 3 points to the correct places on the graph drag and adjust the line so it goes through the points on the line
Y = 2x - 5
M =
B =
Answer:
slope: 2 , y-int: (0, -5)
Step-by-step explanation:
10 1/3 is how much more than 7 8/9?
Answer:2 4/9
Step-by-step explanation:
( - 37 + 37 ) ÷ - 15 = What is the answerr
Answer:
0
Step-by-step explanation:
\(~~~(-37+37 )\div(-15)\\\\=0\div (-15)\\\\=0\)
Answer:
0
Step-by-step explanation:
Following PEMDAS -37+37 is 0 and 0/-15 is also 0
Convert 135° from degrees to radians.
Answer:
Answer:Radians = Degrees × 3.14/180
Answer:Radians = Degrees × 3.14/180Step-by-step explanation:
Answer:Radians = Degrees × 3.14/180Step-by-step explanation:145× (3.14/180)
Answer:Radians = Degrees × 3.14/180Step-by-step explanation:145× (3.14/180)3.14/180
Answer:Radians = Degrees × 3.14/180Step-by-step explanation:145× (3.14/180)3.14/180= 0.0174
Answer:Radians = Degrees × 3.14/180Step-by-step explanation:145× (3.14/180)3.14/180= 0.0174135×0.0174
Answer:Radians = Degrees × 3.14/180Step-by-step explanation:145× (3.14/180)3.14/180= 0.0174135×0.0174 = 2.355
please answer need help
The number of football games with a score less than or equal to 29 is equal to half the number of basketball games with a score greater than or equal to . For both sports, if the only games won were those with scores of 30 or higher, how many more basketball games were won compared to football games won? 20 What is the difference between the total maximum possible points scored by the basketball team last year and the total maximum possible points scored by the football team last year? points
The difference between the basketball team's and the football team's overall maximum points is 7,440.
What are some instances of games?A game is any mental or physical activity with rules that is done for enjoyment, such as physical activities like baseball and soccer, or board games such as chess and Monopoly, or card games, or electronic games
We learn the following from the issue:
F = (1/2)B
We are aware that there is a 20-game disparity between the number of hoops victories and the number of football victories, so:
B/2 - F/2 = 20
Substituting F = (1/2)B, we get:
B/2 - (1/2)B/2 = 20
Simplifying, we get:
B/4 = 20
Multiplying both sides by 4, we get:
B = 80
Similar to how 160 football games were played (since F = (1/2)B = 40), 80 of them had scores of 30 or greater. Therefore, the maximum possible points earned by the football team is 80 x 7 = 560.
The difference between 8000 and 560 is:
8000 - 560 = 7440
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Please help this is due today
Given parallelogram ABCD determine the missing information
Don’t answer with one answer, blank or ridiculous answer please this is serious
Answer:
AC=18
BD=6
Step-by-step explanation:
Solve me this please
X=33500+0,2Y
Y=26500+0,1X
Answer: X= 108125 and Y = 373125.
Step-by-step explanation:
Given system :
\(X= 33500+0.2Y (i)\\\\ Y=26500+0.1X (ii)\)
Consider (ii)
\(Y=26500+0.1X\\\\\Rightarrow\ Y-0.1X=26500\)
Multiply 10 on both sides , we get
\(10Y-X=265000 (iii)\)
Add (i) and (iii)
\(10Y= 33500+26500+0.2Y\\\\\Rightarrow\ 10Y-0.2Y= 298500\\\\\Rightarrow\ 0.8Y= 298500\\\\\Rightarrrow\ Y=\dfrac{298500}{0.8}\\\\\Rightarrrow\ Y=373125\)
Put this in (i)
\(X= 33500+0.2(373125) =108125\)
Hence, X= 108125 and Y = 373125.
What is the difference?
StartFraction x Over x squared minus 2 x minus 15 EndFraction minus StartFraction 4 Over x squared + 2 x minus 35 EndFraction
Answer:
(x^2 + 3x - 12)/(x^3 + 5x^2 - 29x - 105)
Step-by-step explanation:
(x/(x^2 - 2x - 15) ) - (4/(x^2 + 2x - 35)) =
(x/((x-5)(x+3))) - (4/((x-5)(x+7))) =
((x * (x+7)) - (4 * (x+3)))/((x-5)(x+3)(x+7)) =
(x^2 + 7x - 4x - 12)/(x^3 + 5x^2 - 29x - 105) =
(x^2 + 3x - 12)/(x^3 + 5x^2 - 29x - 105)
Answer:
the Answer is D: x^2+3x-12/(x+3)(x-5)(x+7)
Step-by-step explanation:
Edge2020 ;D
what is the simplified form of the ratio 9:18
Answer:
1:2
Step-by-step explanation:
:)
Given sun 0=5/3, find cos 0.
If sin(tetha) = √5/3, then the value of cos (tetha) =2/3
What is trigonometric ratio?Trigonometric Ratios are defined as the values of all the trigonometric functions based on the value of the ratio of sides in a right-angled triangle.
Sin(tetha) = opp/hyp
cos(tetha) = adj/hyp
tan(tetha) = opp/adj
If sin(tetha) = √5/3, therefore the hypotenuse is 3 and the opposite is √5
Using Pythagoras theorem,
3² = √5)²+x²
x² = 9-5
x² = 4
x = 2
adjascent = 2
therefore the value of cos(tetha) = adj/hyp
= 2/3.
therefore the value of cos(tetha) = 2/3
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22) The base of a lampshade is circular. The circumference of the base is 3 times the radius increased by 4.25 inches.
Find the radius of the circular base. Round your answer to the nearest tenth.
Answer:
~1.29 inches
Step-by-step explanation:
C = 2πr
C = 3r + 4.25
2πr = 3r + 4.25
2πr - 3r = 4.25
r(2π-3) = 4.25
r = 4.25/(2π-3) ≈ 1.29
pls complete these two questions! 80 points!!
3a. An equation in slope-point for this line is y + 2 = 1/2(x - 0).
3b. The equation in slope-intercept form is y = 1/2(x) - 2.
4a. An equation in slope-point form to represent this function is y - 3875 = -1/695(x - 19375).
4b. The cost of operating a car that has been driven 31250 km is $3892.086.
How to determine an equation of this line?In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical equation (formula):
y - y₁ = m(x - x₁)
Where:
x and y represent the data points.m represent the slope.Part 3.
First of all, we would determine the slope of this line;
Slope (m) = (y₂ - y₁)/(x₂ - x₁)
Slope (m) = (0 + 2)/(4 - 0)
Slope (m) = 1/2
At data point (0, -2) and a slope of 1/2, a linear equation in slope-intercept form for this line can be calculated by using the point-slope form as follows:
y - y₁ = m(x - x₁)
y + 2 = 1/2(x - 0)
y = 1/2(x) - 2
Part 4a.
Based on the information provided about Jay's business, we would determine the slope of the line;
Slope (m) = (y₂ - y₁)/(x₂ - x₁)
Slope (m) = (3900 - 3875)/(2000 - 19375)
Slope (m) = 25/-17375
Slope (m) = -1/695
At data point (19375, 3875) and a slope of -1/695, a linear equation in slope-intercept form for this line can be calculated by using the point-slope form as follows:
y - y₁ = m(x - x₁)
y - 3875 = -1/695(x - 19375)
Part 4b.
For the cost when x = 31250 km, we have:
y - 3875 = -1/695(31250 - 19375)
y = 17.086 + 3875
y = $3892.086.
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the answer for these questions
The triangles are similar by SSS congruence of triangles.
What is SSS congruence of triangles?
The two triangles are congruent if the three sides of one triangle are the same as the corresponding three sides (SSS) of the other triangle.
We are given two triangle ABC and PQR.
In order to see whether these are similar or not, we will use the SSS congruence of triangles.
The ratio of sides are:
⇒AB : PQ = 8 : 6
⇒AB : PQ = 4 : 3
Similarly,
⇒BC : QR = 12 : 9
⇒BC : QR = 4 : 3
Similarly,
⇒AC : PR = 12 : 9
⇒AC : PR = 4 : 3
Since, the ratio of all the sides is same so, the triangles are similar.
Hence, the triangles are similar by SSS congruence of triangles.
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Since, there are multiple questions so, the question answered above is attached below