Which calculation and answer show how to convert 13 to a decimal?
Answers
when evalueatong the expression 13/15,
13 serves as the dividend and
15 is the divisor
Divisor is always placed outside the division sign and the dividend inside.
According to the option, you can see that 15 which is the divisor is placed outside and 13 is placed inside.
check the diagram below:
Option A is the correct answer in this case
Related Questions
Why is it incorrect to write {∅} to denote a set with no elements?
Answers
Answer:
It's incorrect because {∅} is saying that the set contains empty sets, which is not the same as saying the set is empty (which can be denoted by { } or ∅
Step-by-step explanation: It's all in the answer.
The cost C (in dollars) of producing x units of a product is given by the following. C= 2.6. Square root of x + 600
Answers
The marginal cost in dollars of producing x units is given by the next equation:
[tex]C=2.6\sqrt[]{x}+600[/tex]a)
To find the marginal cost (in dollars per unit) when x= 9.
Then, we need to replace x=9 on the derivation of the cost equation:
So:
[tex]\frac{d}{dx}C=\frac{1.3}{\sqrt[]{x}}[/tex]Where:
[tex]\frac{d}{dx}2.6\sqrt[]{x}=2.6\frac{d}{dx}\sqrt[]{x}=2.6\frac{d}{dx}^{}x^{\frac{1}{2}}=2.6\cdot\frac{1}{2}x^{\frac{1}{2}-1}=1.3\cdot x^{-\frac{1}{2}}=\frac{1.3}{\sqrt[]{3}}[/tex]and, the derivate of a constant is equal to zero.
[tex]\frac{d}{dx}600=0[/tex]Replacing x= 9
[tex]\frac{d}{dx}C=\frac{1.3}{\sqrt[]{9}}[/tex]Hence, the marginal cost is equal to:
[tex]\frac{d}{dx}C=0.43[/tex]b) Now, when the production increases 9 to 10. It's the same as the cost of producing one more machine beyond 9.
Then, it would be x=10 on the cost equation:
[tex]C=2.6\sqrt[]{x}+600[/tex][tex]C=2.6\sqrt[]{10}+600[/tex][tex]C=608.22[/tex]and x= 9
[tex]C=2.6\sqrt[]{9}+600[/tex][tex]C=2.6(3)+600[/tex][tex]C=607.8[/tex]Then, we calculate C(10) - C(9) =
[tex]608.22-607.8[/tex][tex]=0.43[/tex]C)
Both results are equal.
Hence, the marginal cost when x=9 is equal to the additional cost when the production increases from 9 to 10.
Find the surface area of the solid. Use 3.14 for T. Round final answer to the nearest hundredth.
Answers
Answer:
Given:
Radius of the sphere is 26 mi.
To find the surface area of a given sphere.
We know that,
Surface area of a sphere is,
[tex]4\pi r^2[/tex]where r is the radius of the sphere.
Substitute the values we get, (pi=3.14)
[tex]=4\times3.14\times(26)\placeholder{⬚}^2[/tex][tex]=4\times3.14\times676[/tex][tex]=8,490.56\text{ mi}^2[/tex]The required surface area is 8,490.56 mi^2.
If t = (- pi)/3 find the terminal point P(x,y) on the unit circle
Answers
Find the corresponding possitive angle by adding to the angle t 2pi:
[tex]-\frac{\pi}{3}+2\pi=\frac{-\pi+6\pi}{3}=\frac{5\pi}{3}[/tex]Identify the coordiantes using a unit circle:
Then, for angle t=-pi/3 the coordinates are:x=1/2y=-√3 /2
A Labrador Retriever puppy named Milo weighed 11 pounds and gained 2 pounds per week.
After how many weeks did Milo weigh 39 pounds? Weeks?
Answers
After 15 weeks Milo's weight is 39 pounds.
According to the question,
We have the following information:
Weight of Milo = 11 pounds
Milo gained weight at the rate of 2 pounds per week.
So, we have the following progression:
11, 13, 15, ....
Now, we will subtract the previous term from the next term to check whether it is an arithmetic progression or not.
15-13 = 2
13-11 = 2
So, it is an A.P.
We know that following formula is used to find the nth term:
an = a+(n-1)d where a is the first term, n is the number of term and d is the common difference
We have weight of Milo as 39 pounds.
11+(n-1)2 = 39
11+2n-2 = 29
2n+9 = 39
2n = 39-9
2n = 30
n = 30/2
n = 15
Hence, it will take 15 weeks to reach Milo's weight at 39 pounds.
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find the distance between the given points. if the answer is not exact, use a calculator and give an approximation to the nearest tenth (-7,-2), (5,3)
Answers
The distance is:
[tex]d=\sqrt[]{(x2-x1)^2+(y2-y1)^2}[/tex]By replacing x and y
[tex]d=\sqrt[]{(5-(-7))^2+(3-(-2))^2}[/tex]Then solve
[tex]\begin{gathered} d=\sqrt[]{(5+7)^2+(3+2)^2} \\ d=\sqrt[]{12^2+5^2} \\ d=\sqrt[]{144+25}^{} \\ d=\sqrt[]{169} \\ d=13 \end{gathered}[/tex]Answer: 13
4. 1st drop down answer A. 90B. 114C. 28.5D. 332nd drop down answer choices A. Parallel B. Perpendicular 3rd drop down answer choices A. 180 B. 360 C. 270D. 90 4th drop down answer choices A. 33B. 57C. 90D. 28
Answers
Answer:
Tangent to radius of a circle theorem
A tangent to a circle forms a right angle with the circle's radius, at the point of contact of the tangent.
Part A:
With the theorem above, we will have that the tangent is perpendicular to the line radius drawn from the point of tangency
Therefore,
The value of angle CBA will be
[tex]\Rightarrow\angle CBA=90^0[/tex]Part B:
Since the angle formed between the tangent and the radius from the point of tangency is 90°
Hence,
The final amswer is
Tangent lines are PERPENDICULAR to a radius drawn from the point of tangency
Part C:
Concept:
Three interior angles of a triangle will always have the sum of 180°
Hence,
The measure of angles in a triangle will add up to give
[tex]=180^0[/tex]Part D:
Since we have the sum of angles in a triangle as
[tex]=180^9[/tex]Then the formula below will be used to calculate the value of angle BCA
[tex]\begin{gathered} \angle ABC+\angle BCA+\angle BAC=180^0 \\ \angle ABC=90^0 \\ \angle BAC=57^0 \end{gathered}[/tex]By substituting the values,we will have
[tex]\begin{gathered} \operatorname{\angle}ABC+\operatorname{\angle}BCA+\operatorname{\angle}BAC=180^{0} \\ 90^0+57^0+\operatorname{\angle}BCA=180^0 \\ 147^0+\operatorname{\angle}BCA=180^0 \\ substract\text{ 147 from both sides} \\ 147^0-147^0+\operatorname{\angle}BCA=180^0-147^0 \\ \operatorname{\angle}BCA=33^0 \end{gathered}[/tex]Hence,
The measure of ∠BCA = 33°
draw and label: ray LM
Answers
To draw a Ray; Draw a line with an arrowhead at one end of the line segmen:
Ray LM:
f(x+h)-f(x)
h
lim:
h→0
i) The average rate of change of f(x) over the interval [x, x + h]
ii) The slope of the line tangent to f(x) at the point (x, f(x))
iii) The slope of the line secant to f(x) over the interval [x, x + h]
iv) The derivative of f(x)
O A. ii and iii
O B. i and iii
O c. ii
OD. i
...
O E.
i and iv
O F. ii and iv
Answers
Answer: F
Step-by-step explanation:
(i) The interval is meant to have infinitesimal width because the limit is approaching 0.
(ii) This gives the derivative at [tex](x, f(x))[/tex], which is the same as the slope of the tangent line.
(iii) False, this deals with the tangent line, not the secant.
(iv) True by definition.
Find the area of the sector interms of pi.2460°Area = [?]
Answers
Answer:
Area= 24π.
Explanation:
The area of a sector is calculated using the formula below:
[tex]A=\frac{\theta}{360\degree}\times\pi r^2[/tex]From the diagram:
• The central angle, θ = 60°
Diameter of the circle = 24
• Therefore, Radius, r = 24/2 = 12
Substitute these values into the formula:
[tex]\begin{gathered} A=\frac{60\degree}{360\degree}\times\pi\times12^2 \\ =24\pi\text{ square units} \end{gathered}[/tex]The area of the sector in terms of pi is 24π square units.
how to get standar form from point 1,4 and a slope of 5
Answers
A linear function contains the following points.What are the slope and y-intercept of this function?
Answers
Answer: The slope is 4/5 and the y-intercept is (0,-1)
Step-by-step explanation:
What is equation of straight line in slope-intercept form?
The formula for equation of straight line in slope-intercept form is y = mx +c
where m = slope and c = y-intercept
Analysis
y2-y1/x2-x1
3-(-1)/5-(-0)
=4/5
The slope of the linear function is 4/5
The y-intercept is (0.-1)
riangle QRS has vertices Q(8, −4), R(−1, 2), and S(3, 7). What are the coordinates of vertex Q after the triangle is reflected across the y-axiriangle QRS has vertices Q(8, −4), R(−1, 2), and S(3, 7). What are the coordinates of vertex Q after the triangle is reflected across the y-axi
Answers
Evaluate the expression whenb= 48 c= 7simplify as much as possible
Answers
Given:-
[tex]\frac{b}{3}+2c^2[/tex]To find the simplified value when b=48 and c=7.
So now we simplify the solution by substituting the values of b and c in the given equation and get the required solution.
So now we simplify. so we get,
[tex]\frac{b}{3}+2c^2=\frac{48}{3}+2\times7\times7=16+98=114[/tex]So the simplified solution is 114.
Kia rides her bicycle at 20 miles per hour. Which equation represents the situation? Leth represent the hours traveled. Let d represent the distance traveled. Od 2012 Oh= 200 Od 20 h O h = 20 -
Answers
Velocity= 20 miles/hour
Write the rate as a fraction in the simplest form $1680 for 8 weeks 236 miles on 12 gallons of gasoline
Answers
The question asked to write the rate as a fraction in simplest form
[tex]\text{ \$1,680 for 8 w}eeks[/tex]To write the above relation in a fraction, we will have
[tex]\begin{gathered} =\frac{1680}{8} \\ \end{gathered}[/tex]Dividing to the lowest term, we will have
[tex]\begin{gathered} =\frac{210}{1} \\ whichis\text{ \$210 for 1 we}ek \end{gathered}[/tex]The question asked to write the rate as a fraction in simplest form
[tex]236\text{ miles on 12 gallons of gasoline}[/tex]To write the above relation in a fraction, we will have
[tex]=\frac{236}{12}[/tex]To express as a fraction in its lowest terms will be
[tex]\begin{gathered} =\frac{59}{3} \\ \text{which represents 59 miles for 3 gallons} \end{gathered}[/tex]II
Finding simple interest without a calculator
Lella deposits $600 into an account that pays simple interest at a rate of 2% per year. How much interest will she be paid in the first 3 years?
Answers
The Solution:
Given:
Lella deposited $600 into an account that pays 2% simple interest per year.
Required:
To find the interest Lella will get in the first 3 years.
To find the interest, we shall use the formula below:
[tex]I=\frac{PRT}{100}[/tex]In this case,
[tex]\begin{gathered} P=\text{amount deposited=\$600} \\ T=\text{time in years =3 years} \\ R=\text{rate in percent=2\%} \\ I=\text{simple interest paid=?} \end{gathered}[/tex]Substituting these values in the above formula, we get
[tex]I=\frac{600\times2\times3}{100}=6\times2\times3=\text{ \$36}[/tex]Thus, the interest she will be paid in 3 years is $36.00
Therefore, the correct answer is $36.00
if(f) (x)= x/2 - 2 and (g) (x) = 2x^2 + x - 3 find (f+g) (x)|| how do i add functions when the number is a fraction? ||
Answers
Solution
Given
[tex]\begin{gathered} f(x)=\frac{x}{2}-2 \\ \\ g(x)=2x^2+x-3 \\ \\ (f+g)(x)=f(x)+g(x)=\frac{x}{2}-2+2x^2+x-3=2x^2+\frac{3x}{2}-5 \end{gathered}[/tex]Sketch the vectors u and w with angle θ between them and sketch the resultant.|u|=20, |w|=50, θ=80°
Answers
Vectors are represented by arrows, where the norm of a vector determinate its length.
Since θ = 80° is the angle between them, a sketch for our vectors is
The resultant of their sum is given by the parallelogram law. If we draw two vectors parallel to u and w, we're going to have a sketch of a parallelogram, and the diagonal connecting the angle between u and w to the opposite vertice represents the resultant.
In the figure below, ZYZA and _YZX are right angles and _XYZ and ZAYZ arecongruent. Which of the following can be concluded about the distance frompoint A from point Z using Thales's method?O A. The distance between points A and Z is the same as the distancebetween points X and Z.B. The distance between points A and Z is the same as the distancebetween points A and Y.O C. The distance between points A and Z is the same as the distancebetween points Yand Z.D. The distance between points A and Z is the same as the distancebetween points X and Y.
Answers
Let's begin by identifying key information given to us:
[tex]\begin{gathered} \angle YZA=90^{\circ} \\ \angle YZX=90^{\circ} \\ \angle XYZ\cong\angle AYZ \end{gathered}[/tex]Thale's method shows that angles in a triangle opposite two sides of equal length are equal
[tex]undefined[/tex]As such, the answer is A (The distance between points A and Z is the same as the distance between X and Z)
Jackson bought a Ford Mustang for $40,000 and it depreciates in value 9% per year. Write an equation that
models the value of Jackson's car.
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Answer:
[tex]v = 40000( {.91}^{x} )[/tex]
PLS HELP ASAP I WILL GIVE BRAINLIEST
Answers
Answer: I think the answer is [tex]\frac{2/3}{1}\\[/tex] and [tex]\frac{3}{1}[/tex]
Step-by-step explanation: I hope this helps. Correct me if I am wrong.
A country's population in 1994 was 182 million.In 2002 it was 186 million. Estimatethe population in 2004 using the exponentialgrowth formula. Round your answer to thenearest million.
Answers
we have the exponential formula
[tex]P=Ae^{(kt)}[/tex]so
we have
A=182 million ------> initial value (value of P when the value of t=0)
The year 1994 is when the value ot t=0
so
year 2002 -----> t=2002-1994=8 years
For t=8 years, P=186 million
substitute the value of A in the formula
[tex]P=182e^{(kt)}[/tex]Now
substitute the values of t=8 years, P=186 million
[tex]\begin{gathered} 186=182e^{(8k)} \\ e^{(8k)}=\frac{186}{182} \\ \text{apply ln both sides} \\ 8k=\ln (\frac{186}{182}) \\ k=0.0027 \end{gathered}[/tex]the formula is equal to
[tex]P=182e^{(0.0027t)}[/tex]Estimate the population in 2004
t=2004-1994=10 years
substitute the value of t in the formula
[tex]\begin{gathered} P=182e^{(0.0027\cdot10)} \\ P=187 \end{gathered}[/tex]therefore
the answer is 187 millionThe basic wage earned by a truck driver for a 40 - hour week is $560 How can I calculate the hourly rate for overtime, the driver is paid one and a half times the basic hourly?
Answers
First, find the hourly rate by dividing the total wage of $560 by the amount of time worked, which is 40 hours:
[tex]\frac{\text{\$}560}{40h}=\text{ \$}14\text{ per hour}[/tex]To find the hourly rate for overtime, multiply the basic hourly rate by 1.5:
[tex](\text{\$}14\text{ per hour})\times1.5=\text{ \$}21\text{ per hour}[/tex]Therefore, the hourly rate for overtime is $21.
Multiply -5 1/2 × 7 5/6 =
Answers
You have to multiply:
[tex]-5\frac{1}{2}\cdot7\frac{5}{6}[/tex]First write the compound fractions as impropper fractions.
To do so, divide the whole number by one to express it as a fraction and add both fractions:
[tex]\begin{gathered} 5\frac{1}{2}=\frac{5}{1}+\frac{1}{2}\to\text{ common denominator 2} \\ \\ \frac{5\cdot2}{1\cdot2}+\frac{1}{2}=\frac{10}{2}+\frac{1}{2}=\frac{11}{2} \end{gathered}[/tex][tex]\begin{gathered} 7\frac{5}{6}=\frac{7}{1}+\frac{5}{6}\to\text{ common denominator 6} \\ \frac{7\cdot6}{1\cdot6}+\frac{5}{6}=\frac{42}{6}+\frac{5}{6}=\frac{47}{6} \end{gathered}[/tex]Rewrite the multiplication using the corresponding impropper fractions:
[tex]-\frac{11}{2}\cdot\frac{47}{6}[/tex]And solve the multiplication, numerator * numerator and denominator*denominator:
[tex]-\frac{11}{2}\cdot\frac{47}{6}=-(\frac{11\cdot47}{2\cdot6})=-\frac{517}{12}[/tex]x = 3y for y how should we solve it
Answers
If x=3y is the equation then y = x/3.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The given expression x equal to three y.
Here x and y are two variables.
The value of x is three times of y.
The value of y is x over three. If we know the value of x we can substitute in place of x and we can calculate it.
Divide both sides by 3.
y=x/3.
Hence the value of y is x/3.
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Determine whether the sequence is geometric. 160, 40, 10,2.5, ...
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Since the ratio is constant through the sequence, we conclude that it is geometric sequence.
Which expressions are equivalent to (1/3x−4x−5/3x)−(−1/3x−3) ? Select all correct expressions. Responses −3+5x negaive 3 minus 5 x −2x+3−3x negative 2 x plus 3 minus 3 x −5x+3 negative 5 x plus 3 2x−3+3x 2 x minus 3 plus 3 x
Answers
The equivalent expression for the given expression (1/3x - 4x - 5/3x) - (- 1/3x - 3) is 3 - 7x / 3
Given,
The expression;
(1/3x - 4x - 5/3x) - (- 1/3x - 3)
We have to solve this and find the equivalent expression;
Here,
(1/3x - 4x - 5/3x) - (- 1/3x - 3)
= 1/3x - 4x - 5/3x + 1/3x + 3
= 3 - 4x - 5/3x
= 3 - (12x - 5x) / 3
= 3 - 7x / 3
That is,
The equivalent expression for the given expression (1/3x - 4x - 5/3x) - (- 1/3x - 3) is 3 - 7x / 3
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Space shuttle astronauts each consume an average of 3000 calories per day. One meal normally consists of a main dish, a vegetable dish, and two different desserts. The astronauts can choose from 11 main dishes, 7 vegetable dishes, and 12 desserts. How many different meals are possible?
Answers
Okay, here we have this:
Considering the provided information, we are going to calculate how many different meals are possible, so we obtain the following:
There are 11 ways to choose a main dish, 7 ways to choose a vegetable, 12 ways to choose the first dessert, and 11 ways to choose the second dessert. Then:
We multiply to find the possible number of combinations:
[tex]\begin{gathered} 11\cdot7\cdot12\cdot11 \\ =10164 \end{gathered}[/tex]Finally we obtain that there are 10164 different meals possible.
help meeeeeeeeeeeeeeeee
Answers
For the given function f(x) = x³ +x +1,g(x) =-x, composition of the given function is given by ( fog)(x) = -x³ -x +1 , ( g of)(x) = -(x³ +x +1).
As given in the question,
Given function :
f(x) = x³ +x +1
g(x) =-x
Composition of the given function is equal to :
(fog)(x) = f(g(x))
= f(-x)
= (-x)³ +(-x) +1
= -x³ -x +1
(g of)(x) = g(f(x))
=g(x³ +x+1)
= -(x³ +x+1)
Therefore, for the given function f(x) = x³ +x +1,g(x) =-x, composition of the given function is given by ( fog)(x) = -x³ -x +1 , ( g of)(x) = -(x³ +x +1).
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