Find the sum. Enter your answer in the box below as a fraction, using theslash mark (/) for the fraction bar.2 413 13+Answer here
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SOLUTION
We want to solve the fraction
[tex]\begin{gathered} \frac{2}{13}+\frac{4}{13} \\ \text{the two fractions has the same denominator, which is 13} \\ so\text{ we write the 13 and add the numerators 2 and 4} \\ we\text{ have } \\ \frac{2+4}{13} \\ =\frac{6}{13} \end{gathered}[/tex]Hence, the answer is 6/13
Related Questions
find the value of given
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The value of (p² + 1/p²) and (p + 1/p)²is 18 and 20 respectively.
The above question is from algebra section and is from the topic surds and indices.
One of the standard formula is
(a - b)² = a² - 2ab +b²
(i) Here the expression is
p - 1/p = 4 and we need to find the value of p² + 1/p²
(p - 1/p)² = p² + 1/p² -2p(1/p)
4² = p² + 1/p² - 2
16 + 2 = p² + 1/p²
p² + 1/p² = 18
(ii) we need to find the value of (p + 1/p)²
(a + b)² - (a - b)² = 4ab
(p + 1/p)² - (p - 1/p)² = 4p(1/p)
(p + 1/p)² - 4² = 4
(p + 1/p)² = 4 + 16
(p + 1/p)² = 20
Therefore, the value of (p² + 1/p²) and (p + 1/p)² is 18 and 20 respectively.
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what’s the correct answer answer asap for brainlist
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Answer:
A. 12
Step-by-step explanation:
multiply the following decimals-0. 8 • (-0.3) • (-0.4) = -0. 096
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Remember when we multiply negative numbers we need to be careful in the sign
[tex]-0.8\cdot-0.3\cdot-0.4=-0.096[/tex]Remember when we multiply decimals, first multiply as if there is no decimal. Next, count the number of digits after the decimal in each factor. Finally, put the same number of digits behind the decimal in the product.
I dont understand what to do for this I have 5 questions of this and I dont understand how to do this please help me!
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1) Whenever we're asked to find out something of like 1/7 of 35 we must proceed with a multiplication. This way:
2)
[tex]\frac{1}{7}\times35=\frac{35}{7}\text{ = 5}[/tex]3) Hence, the answer is 5
To indirectly measure the distance across a lake, Jeremiah makes use of a couplelandmarks at points O and P. He measures NR, RP, and Q R as marked. Find thedistance across the lake (OP), rounding your answer to the nearest hundredth of ameter.
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Notice that triangles NPQ and NRQ are similar, then:
[tex]\frac{OP}{QR}=\frac{NP}{NR}.[/tex]Now, notice that:
[tex]PN=NR+RP.[/tex]Therefore:
[tex]\frac{OP}{QR}=\frac{NR+RP}{NR}.[/tex]Multiplying the above result by QR we get:
[tex]\begin{gathered} \frac{OP}{QR}\times QR=\frac{NR+RP}{NR}\times QR, \\ OP=\frac{NR+RP}{NR}\times QR. \end{gathered}[/tex]Substituting NR=125m, RP=65m, and QR=106.75m we get:
[tex]OP=\frac{125m+65m}{125m}\times106.75m.[/tex]Simplifying the above result we get:
[tex]\begin{gathered} OP=\frac{190m}{125m}\times106.75m \\ =162.26m. \end{gathered}[/tex]Answer:
[tex]OP=162.26m.[/tex]
If the following function is continuous then what is the value of b?
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For a function g(t) to be continuous at t = a:
1) The limit of g(t) must exist at t = a
2) g(a) must exist
3) The limit of g(t) at t = a must be equal to g(a)
[tex]undefined[/tex](05.01 MC)A store sells cooking oil of two different brands in bottles of the same size. The table below and the equation each show the price (y), in dollars, of different number of bottles of oil (x):Brand ANumber of Bottles, x Price (dollars), y2 243 364 485 60Brand By = 15xHow many dollars more is the price of 9 bottles of brand B oil than the price of 9 bottles of brand A oil? (5 points)1. $32. $93. $184. $27
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Solution
Step by step explanation:
Using the data, we can calculate the price per bottle for Brand A, which is:
24 / 2
= $12 per bottle
We also know that the slope of a line shows the rate of change, so the price per bottle for Brand B is $15.
The difference per bottle is 15 - 12 = Brand B is cost $3 more per bottle
The difference for 9 bottles will be: 9 * 3 = $27.
Therefore the answer will be $27
What are the coordinates of the point on the directed line segment from (-9, 2) to
(5,-10) that partitions the segment into a ratio of 1 to 3?
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[1.5, 4] are the coordinates that divide the section into a 3 to 1 ratio.
Using a 3:1 partitioning ratio
#Multiply the ratio by the length of the x-coordinate:
5 + 9 = 14;
1/4 of 14 is 3.5;
we take this value out of the x-max to get the point, which is 5 - 3.5 = 1.5.
#Multiply the ratio by the length of the y-coordinate:
We subtract -2 from the y-max to obtain the point,
which is equal to 2 + 2 = 4.
x length -10 + 2
=> 1/4 x -8 = - 2
Consequently, [1.5, 4] are the coordinates that divide the section into a 3 to 1 ratio.
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I’m confused bout this, could you possibly explain and help me solve.
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Solve the inequality 10>2x - 4 for x.
[tex]\begin{gathered} 10+4>2x-4+4 \\ \frac{14}{2}>\frac{2x}{2} \\ 7>x \\ x<7 \end{gathered}[/tex]So inequality for x is x < 7.
Plot the inequality on the graph.
Erin receives a 20% employee discount at the camera store where she works. She alsoreceives a $10 off the price on Wednesdays.a. Write a function e(p) that calculates Erin's new price after the employee discount(hint: what percent of the original price does she have to pay?)ep) =B. Write a function a(p) that calculates Erin's new price using her Wednesday discountonlya (p) =C. Write the function e(a(p))e a(p)) =D. What would Erin's final price be for a $400 camera she purchases on a Wednesday?
Answers
ANSWERS
A. e(p) = 0.8p
B. a(p) = p - 10
C. e(a(p)) = 0.8p - 8
D. $312
EXPLANATION
A. The employee discount is 20%. To the total price, which is 100%, we have to subtract the 20% to find the final price of the product. If the price is p, then the price after the employee discount would be,
[tex]e(p)=(1-0.2)p=0.8p[/tex]Hence, the function is e(p) = 0.8p
B. On Wednesdays, Erin gets a $10 discount on the price p of a product in the store, so if she buys on a Wednesday, she would pay a(p) = p - 10.
C. Now we have to find the function e(a(p)). This is a composition, where we have to replace p with a(p) in function e(p),
[tex]e(a(p))=0.8a(p)=0.8(p-10)=0.8p-0.8\cdot10=0.8p-8[/tex]Hence, the function is e(a(p)) = 0.8p - 8
D. If Erin buys a $400 camera on a Wednesday she will get both discounts: the employee discount and the Wednesdays discount. To find the final price for a selling price of p = 400, we have to use the function found in part C,
[tex]e(a(400))=0.8\cdot400-8=320-8=312[/tex]Hence, the final price for the $400 camera is $312, after both discounts.
please help me solve this please and thank you m8
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We will hve the following:
[tex](5x+8)(x^3-x-4)=(5x^4-5x^2-20x)+(8x^3-8x-32)[/tex][tex]=5x^4+8x^3-5x^2-28x-32[/tex]For y = 10*0.5^x , doesthis model exponential growth or decay? Explain how you know.
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Answer:
Exponential decay
Explanation:
The exponential functions have the following form:
[tex]y=a\cdot b^x[/tex]If b is a number greater than 1, the equation models exponential growth, and if b is lower than 1, the equation models an exponential decay.
Since the equation is:
[tex]y=10\cdot0.5^x[/tex]We can say that the value of b is 0.5. 0.5 is lower than 1, so this equation models exponential decay.
Use the compound interest formulas A=P(1+r/n)^nt and A=Pe^rt to solve. Find the accumulated value of $20,000 for 5 years at an interest rate of 6.5% if the money is compounded monthly. What is the accumulated value if the money is compounded monthly?
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Given: An investment of $20000 for 5 years at an interest rate of 6.5%.
Required: To determine the accumulated value if the money is compounded monthly.
Explanation: The formula for compound interest is as follows-
[tex]A=P(1+\frac{r}{n})^{nt}[/tex]Here, n=12 as the money is compounded monthly in a year. Also
[tex]\begin{gathered} P=20000 \\ t=5 \\ r=\frac{6.5}{100} \\ =0.065 \end{gathered}[/tex]Substituting the values into the formula as-
[tex]A=20000(1+\frac{0.065}{12})^{12\times5}[/tex]Further solving-
[tex]A=27,656.35[/tex]Final Answer: The accumulated value is $27,656.35
Find the equation of the line in slope intercept form that passes through the point with the given slope. Simplify your answer.
Point (0, 8); Slope = 8
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The next model of a sports car will cost 3.1% less than the current model. The current model cost $54,000. How much will the price decrease in dollars? What will be the price of the next model?
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Answer:
The price decrease will be $1,674
The price of the next model will be $52,326
Explanation:
Given the cost of the current model as $54,000.
We're told that the next model of the car will cost 3.1% less than the current model, let's go ahead determine the price decrease as seen below;
[tex]54000\times\frac{3.1}{100}=54000\times0.031=\text{ \$1,674}[/tex]We can see from the above that the price decrease is $1,674.
Let's go ahead and determine the price of the next model as seen below;
[tex]54000-1674=\text{ \$52,326}[/tex]Therefore, the price of the next model will be $52,326
Use the given information to find the unknown value:y varies inversely with a. When x = 4, then y= 4. Find y when I = 2.Iyy =help (numbers)
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Inverse variation:
[tex]y=\frac{k}{x}[/tex]k is a constant
Use the given information (when x=4 y=4) to find the value of the constant:
[tex]\begin{gathered} 4=\frac{k}{4} \\ \\ \text{Multiply both sides of the equation by 4:} \\ 4\times4=4\times\frac{k}{4} \\ \\ 16=k \\ \\ \\ k=16 \end{gathered}[/tex]Then, the given relationship has the next equation:
[tex]y=\frac{16}{x}[/tex]Use the equation above to find y when x=2:
[tex]\begin{gathered} y=\frac{16}{2} \\ \\ y=8 \end{gathered}[/tex]Then, when x=2, y=8Let f be a differentiable function with f(2)=-3 and f'(2)=-4.
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The value of differentiable function g(x)=x³ × f(x) if f(2)=-3 and f'(2)=-4 is -68.
If the derivative of a function exists at every point inside its domain, the function is said to be differentiable. In particular, f′(a) exists in the domain if a function f(x) is differentiable at x = a.
Given function
g(x)=x³ × f(x)
FInd out -
Value of g′(2) = ?
If f(2) = -3 and f'(2) = -4.
Let us apply the product rule of differentiation of a product of two functions. The product rule states that
d/dx (fg) = d/dx (f) × g + f × d/dx(g)
or
(fg)'(x) = f'(x) × g(x) + f(x) × g'(x).
Observe that if g(x) = x³ × f(x) then
g'(x) = 3x² × f(x) + x³ × f'(x).
Thus, g'(2) = 3 × 2² × f(2) + 2³ × f'(2)
Put the value of f(2) and f'(2)
= 3 × 4 × (-3) + 8 × (-4)
= -36 - 32
= - 68.
Therefore , If f(2)=-3 and f'(2)=-4, the value of the differentiable function g(x)=x³ × f(x) is -68.
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i need help with figures and dilations
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Step by step
Divide the side of the image by the pre image.
Side x’ y’ is 12
Side x y is 18
12/18 simplified to 2/3
Check your work
Side x w = 12
12 * 2/3 = 8
x w is congruent to y z
So y’ z’ is 8 so they are the same after the dilation
So your answer is correct
Hello! Can you help with part A & B? Thank you!
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we have the functions
[tex]\begin{gathered} g(x)=-2x^2+13x+7 \\ h(x)=-x^2+4x+21 \end{gathered}[/tex]Part A
Equate both equations
[tex]-2x^2+13x+7=-x^2+4x+21[/tex]Solve for x
[tex]\begin{gathered} -2x^2+13x+7+x^2-4x-21=0 \\ -x^2+9x-14=0 \end{gathered}[/tex]Solve the quadratic equation
using the formula
a=-1
b=9
c=-14
substitute
[tex]x=\frac{-9\pm\sqrt{9^2-4(-1)(-14)}}{2(-1)}[/tex][tex]x=\frac{-9\pm5}{-2}[/tex]The values of are
x=2 and x=7
The answer Part A
The distances are x=2 units and x=7 units
Part B
f(x)=g(x)/h(x)
so
[tex]f(x)=\frac{-2x^2+13x+7}{-x^2+4x+21}[/tex]Rewrite in factored form
[tex]\begin{gathered} f(x)=\frac{-2(x+\frac{1}{2})(x-7)}{-(x+3)(x-7)} \\ \\ f(x)=\frac{(2x+1)}{(x+3)} \end{gathered}[/tex]The given function has a discontinuity at x=7 (hole), a vertical asymptote at x=-3
and horizontal asymptote at y=2
Tracy opened a savings account and deposited $600.00. The account earns 4% interest,compounded annually. If she wants to use the money to buy a new bicycle in 3 years, howmuch will she be able to spend on the bike?Round your answer to the nearest cent.
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The compound interest formula is:
[tex]C(n)=P\lbrack(1+i)^n-1\rbrack[/tex]Where:
C(n) is the interest generated after n periods
P is the principal value, the values deposited initially.
i is the annual interest rate in percentage terms.
n is the number of compounding periods.
In this case:
P = $600.00
i = 0.04 (converted from percentage to decimal by dividing by 100
n = 3 years
Then:
[tex]C(3)=600.00\lbrack(1+0.04)^3-1\rbrack[/tex]Then solve:
[tex]C(3)=600\lbrack1.04^3-1\rbrack=600\lbrack1.124864-1\rbrack=600\cdot0.124864=74.9184[/tex]This is the amount of interest generated over 3 years. The total amount then will be the initial amount plus the interest generated:
[tex]600+74.9184=674.9184[/tex]Rounded up to the nearest cent, the amount she will be able to spend after 3 years is $674.91
Find the radius of the given circle with the given central angle and arc length. Round your answer to the nearest tenth.
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The arc length, when the central angle is measure in degrees, is given by:
[tex]s=2\pi r(\frac{\theta}{360})[/tex]In this case the arc length is 19.6 cm and the angle is 130°, plugging these values we have that:
[tex]\begin{gathered} 19.6=2\pi r(\frac{130}{360}) \\ r=(\frac{19.6}{2\pi})(\frac{360}{130}) \\ r=8.6 \end{gathered}[/tex]Therefore, the radius is 8.6 cm
compare the y-intercepts and the rates of change of the following items. y = -5x + 5 and a line which passes through the points (5, 0) and (-5, 5)
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y-intercepts of line y = -5x + 5 is greater then a line which passes through the points (5, 0) and (-5, 5)
What is Algebraic expression ?
Algebraic expressions are the idea of expressing numbers using letters or alphabets without specifying their actual values. The basics of algebra taught us how to express an unknown value using letters such as x, y, z, etc. These letters are called here as variables. An algebraic expression can be a combination of both variables and constants. Any value that is placed before and multiplied by a variable is a coefficient.
Here the points are (5, 0) and (-5, 5) and it is to find the equation of line passing through these points :
Now using slope formula to find the slope of line m :
m = (y₂-y₁)/ (x₂-x₁)
m = (5-0)/(-5-5)
m = 5/-10
m = -1/2
Let us first find the equation of the line using point-slope equation of line :
(y-y₁) = m(x-x₁)
Substituting all the values in above equation to get the equation of line :
(y-0) = -1/2(x-5)
2y = -x+5
2y = -x + 5
2y = -x +5
y = -x/2 + 5/2
Therefore, the equation of line passing through the points (5, 0) and (-5, 5) is y = -x/2 + 5/2 and its y-intercepts is 5/2
Now, the y-intercepts of line y = -5x + 5 is 5
That is, y-intercepts of line y = -5x + 5 is greater then a line which passes through the points (5, 0) and (-5, 5)
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A pipe is at least 21 feet long and you want to cut it into three pieces
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The length of the each piece of pipe is 7 feet
What is Length?
Distance is measured in length. Length has the dimension of distance in the International System of Quantities. The majority of measurement systems choose a base unit for length from which all other units are derived. The meter serves as the foundational unit of length in the International System of Units.
Given,
Total length of the pipe = 21feet
The pipe after 3 pieces = ?
We have to find the length of pipe after it is cut down into three piece
To find that we have to divide the length of the pipe with 3
The length of 3 pieces = 21/3
= 7 feet
Hence, The length of each piece will be 7 feet
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3) Write 3 different ratios that are equivalent to 7 : 3
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From the given problem, we have a ratio of 7 : 3.
Just any number to the ratio to get as many ratios as you want.
Sinec we only need 3 ratios,
multiply, 2, 3 and 4
The ratios will be :
14 : 6
21 : 9
28 : 12
6pq³ x 2p⁹q²
solve this equation please and thanks
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The resulting equation is 12[p^10][q^5].
The expression given to us is "6pq³ * 2(p^9)q²".The first term of the expression contains a constant that is 6.The first term of the expression contains a variable "p" raised to the power of 1.The first term of the expression contains a variable "q" raised to the power of 3.The second term of the expression contains a constant that is 2.The second term of the expression contains a variable "p" raised to the power of 9.The second term of the expression contains a variable "q" raised to the power of 2.We need to multiply the terms in the expression.In order to get the correct result, multiply the constants together and add the powers of the same variables.The final expression is "(6*2)[p^(1+9)][q^(3+2)]".The final expression is "12[p^10][q^5]".Hence, the resulting equation is 12[p^10][q^5].To learn more about equations, visit :
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Solve: 4,557 ÷ 22 A 27332 B 222073 C 207422 D 207322
plssss i really need a answer fast!!
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C or D pretty sure it's d
Which set of numbers is ordered from least to greatest? {2.82, √8. √II, 3-1} {-√16,-√17,-√18,-√19} {√5,- √6, 21/1, -3} {√10, 4, √4, 15}
Answers
A group of integers is referred to as an element and makes up a set. The set of numbers can either be an endless or a limited collection.
The set of numbers is ordered from least to greatest exists {2.82, √8. √II, 3-1}.
What is meant by the set of numbers?A set exists a grouping or collection of objects. These things exists frequently directed to as elements or set members.
Any grouping of items (elements) in mathematics and logic, whether or not they are mathematical (such as numbers and functions). A list of all the members of a set, wrapped in braces, is a typical way to represent a set. Even older than the concept of number is the intuitive conception of a set.
A group of integers is referred to as an element and makes up a set. The set of numbers can either be an endless or a limited collection. Roster notation is a method of indicating sets that uses "" and "" with commas separating the items.
Therefore, the correct answer is option a) {2.82, √8. √II, 3-1}.
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What is the measure of angle D?
(Geometry) with details and steps!!!
Answers
Answer:
See below
Step-by-step explanation:
The angle at E in the UPPER triangle
is 180 - -45 -14 = 121° ( because the angles of any triangle sum to 180 °)
The angle below this is the same value 121°
then 27 + 121 + D = 180 shows D = 32°
Answer:
32°
Step-by-step explanation:
If you look at the figure there are two distinct triangles formed by the intersection of the two lines
These are ΔAEB and ΔCED
Consider ΔAEB
Two of its angle measure are given:
m∠EAB = 14° and m∠EBA = 45°
The measure of the third angle ∠AEB can be computed from the fact that the sum of the three angles of a triangle add up to 180°
So we get the equation:
14 + 45 + m∠AEB = 180
59 + m∠AEB = 180
m∠AEB = 180 -59 = 121°
We also have
m∠AEB = m∠CED
since they are vertically opposite angles formed at intersection E by the two straight lines AD and BC
So m∠CED = 121°
Now considering the triangle ΔCED we have two angles known to us
m∠ECD = 27° and m∠CED = 59°
The sum of the measures of the three angles ∠ECD, ∠CED and ∠CDE must add up to 180°
==> 27 + 121 + ∠CDE = 180
148 + ∠CDE = 180
∠CDE = 180 - 148 = 32°
So ∠D measures 32°
(Find the sum of the infinite geometric series 3 + 12 + 48 + 192 + ...
Answers
Given the Infinite Geometric Series:
[tex]3+12+48+192+...[/tex]You can find its sum by using this formula:
[tex]S=\frac{a_1}{1-r}[/tex]Where "r" is the common ratio and the first term is:
[tex]a_1[/tex]In this case, you can identify that each term is obtained by multiplying the previous term by 4. Therefore:
[tex]r=4[/tex]You can identify that:
[tex]a_1=3[/tex]Therefore, you can substitute values into the formula and evaluate:
[tex]S=\frac{3}{1-4}[/tex][tex]\begin{gathered} S=\frac{3}{-3} \\ \\ S=-1 \end{gathered}[/tex]Hence, the answer is: Option B.
How do I Simplify (6 — 4i) — (і +5)?
Answers
To simplify (6 - 4i) - (і +5), you have to apply associative property.
First step is to remove the parenthesis, then you have:
[tex]6\text{ - 4i - i + 5}[/tex]Now collect like terms:
[tex]\begin{gathered} 6\text{ + 5 - 4i - i} \\ =\text{ 11 - 5i} \end{gathered}[/tex]ANSWER:
[tex]11\text{ - 5i}[/tex]