Answer:
about 13.9%
Step-by-step explanation:
[tex] \frac{17.699}{127} (100\%) = 13.9\%[/tex]
On a coordinate plane, 2 lines intersect around (0.4, 2.8).
The graph on the left represents a system of equations.
How can the solution be located?
Which integers is the x-coordinate between?
Which integers is the y-coordinate between?
What is the solution approximated to the tenths place
The solution of the graph can be located at the point of intersection of the two lines. The solution, approximated to the tenths place will be (0.4, 2.8)
What is the solution of a system?The solution of a system of two linear equations can be calculated by determining the point of intersection.
Therefore, the solution = the coordinates of the point of intersection (x-coordinate, y-coordinate).
Given graph shows the system of equations in two lines:
The solution of the graph can be located at the point of intersection of the two lines, the x-coordinate against the y-coordinate.
The integers that the x-coordinate of the point of intersection is in between are 0 and 1.
The y-coordinates of the point of intersection lie between the integers 2 and 3.
The solution, approximated to the tenths place will be (0.4, 2.8)
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Pls help
Geometry
What is the volume?
Answer:
199.5 ft^3
Step-by-step explanation:
to find your answer you simply multiply all the measurements together
19 * 1.5 * 7 is your equation
19 * 1.5 * 7 = 199.5
it is 199.5 ft^3
The amounts spent by 12 customers at a Burger King's restaurant were as follows:
11.01
10.50 5.70 14.67 9.50 12.54
8.90 13.56 11.23 6.80 3.00 10.55
Find the mean amount spent by these customers.
Explanation:
The first step is to add up all the values given:
11.01 + 10.50 + 5.70 + 14.67 + 9.50 + 12.54 + 8.90 + 13.56 + 11.23 + 6.80 + 3.00 + 10.55 = 117.96
Then we divide this sum over n = 12 since this is the sample size given (i.e. the number of customers)
117.96/n = 117.96/12 = 9.83
Both ABC and 3D8 are three digit numbers such that ABC - 3D8 = 269.
If 3D8 is divisible by 9, then what number does ABC represent?
Answer:
647
Step-by-step explanation:
The divisibility rule for 9 can be used to find the unknown number.
Divisibility ruleA number is divisible by 9 if the sum of its digits is divisible by 9.
The number 3D8 will be divisible by 9 when 3 + D + 8 = <multiple of 9>. Since D is a single digit, we must have ...
11 +D = 18
D = 7 . . . . . . . subtract 11
The number 3D8 is 378.
DifferenceNow we know that the difference is ...
ABC -3D8 = ABC -378 = 269
ABC = 269 +378 = 647
ABC represents the number 647.
barbara works at a law office as an entry level lawyer. She spends 2/5 of her time at the law office doing paperwork. How many hours does she have to work to spend 10 hours doing paperwork.
Answer:
25 hours.
Step-by-step explanation:
Let the hours worked be x
2/5x = 10
2x = 50
x = 25
She has to work 25 hours to spend 10 hours doing paperwork.
Round
8724 to the nearest whole number
Round
8724 to the nearest whole number is 8720
A company is manufacturing two kinds of juice boxes. One is in the shape of a rectangular prism
with dimensions 10 cm by 6 cm by 4 cm. The other is a cylinder with radius 2.8 cm and height 10 cm.
Compare the volumes and surface areas of these two juice boxes.
The volume of volume of the rectangular prism is=240cm³ while the surface area of cylinder =225.04cm²
Calculation of volume of prismThe volume of rectangular prism
= l×w×h
= 10× 6× 4
= 240cm³
The surface area of cylinder,
= 2πrh+2πr²
= 2× 3.14× 2.8 × 10 + 2×3.14×2.8²
= 175.84 + 49.2
= 225.04cm²
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Solve Tx" + (4t - 2)X' + (13t - 4)X = 0, If X(0) = 0
The solution of Tx" + (4t - 2)X' + (13t - 4)X = 0, If X(0) = 0 is mathematically given as
[tex]&n \times(S)=\frac{c}{\left((s+2)^{2}+9\right)^{2}}[/tex]
What is the solution of Tx" + (4t - 2)X' + (13t - 4)X = 0, If X(0) = 0?Generally, the equation for is mathematically given as
[tex]&t x^{\prime \prime}+(4 t-2) x^{\prime}+(13 t-4) x=0, \quad x(0)=0\\\\&\Rightarrow \quad t x^{\prime \prime}+4 t x^{\prime}-2 x^{i}+13 t x-4 x=5\\[/tex]
By taking Laplace to transform,
[tex]&L\left\{t x^{13}\right\}+L\left\{4 t x^{\prime}\right\}-L\left\{2 x^{\prime}\right\}+L\{13 t x\}-L\{4 x\}=0\\\\\\&-25 x(s)-s^{2} x^{1}(5)-4 x(s)-45 x^{\prime}(s)-25 x(s)-13 x^{\prime}(5)-4 x(s)=0\\[/tex]
[tex]&\Rightarrow \quad-\left(5^{2}+45+13\right) x^{4}(5)-4(5+2) x(5)=0\\\\\\&\Rightarrow \quad\left(s^{2}+45+13\right) x^{1}(5)+4(5+2) x(5)=0\\\\\\&\Rightarrow\left(s^{2}+4 s+13\right) x^{\prime}(s)=-4(s+2)^{x}(s)\\\\\\&\Rightarrow \frac{x^{\prime}(s)}{x(s)}=-\frac{4(s+2)}{s^{2}+4 s+13}\\\\\[/tex]
In conclusion, By integrating both sides
The solution is
[tex]&x(s)=\frac{c}{\left(s^{2}+4 s+13\right)^{2}}\\[/tex]
[tex]&n \times(S)=\frac{c}{\left((s+2)^{2}+9\right)^{2}}[/tex]
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Please answer this question for me
the polynomial of degree 3, P(x), has a root of multiplicity 2 at x=2 and a root of multiplicity 1 at x=-4. the y-intercept . is y=-11.2
find a formula for P(x)=
The formula of P(x) = -0.7 (x-2)²(x+4)
What is a root of a polynomial ?A root of a polynomial is defined as the point or value at which the overall value of the polynomial = 0
It is given that
for a polynomial of degree 3
root x=2, multiplicity 2: (x-2)²
root x= - 4, multiplicity 1: (x+4) ³ ²
P(x) = a(x-2)²(x+4)
here a is constant
y-intercept = -11.2
P(0) = -11.2
a(0-2)²(0+4) = -11.2
a * 4 * 4 = -11.2
16a = -11.2
a = -11.2/(16)
a= -11.2/16
P(x) = -(11.2/16)(x-2)²(x+4)
P(x) = -0.7 (x-2)²(x+4)
Therefore the formula of P(x) = -0.7 (x-2)²(x+4)
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Two circles with different radii have chords AB and CD, such that AB is congruent to CD. Are the arcs intersected by these chords also congruent? Explain.
Hint:
It would be helpful to draw two circles and label them according to the given information, then evaluate possible arc measures.
Consider the type of triangle that may be drawn by connecting the endpoints of a chord to the center of a circle. Compare the triangles made by two circles with different radii.
The arcs intersected by these chords are not congruent.
Given that two circles with different radii have chords AB and CD, such that AB is congruent to CD.
Let r₁ and r₂ be the radii of two different circles with centers O and O' respectively.
Assuming that the each of the ∠АОВ and ∠CO'D is less than or equal to π.
Then, we have isosceles triangle AOB and CO'D such that,
AO = OB = r₁,
CO' = O'D = r₂,
Let us assume that r₁< r₂;
We can see that arc(AB) intersected by AB is greater than arc(CD), intersected by the chord CD;
arc(AB) > arc(CD) .......(1)
Indeed,
arc(AB) = r₁ angle (AOB)
arc(CD) = r₂ angle (CO'D)
So, we have to prove that ;
∠AOB >∠CO'D ......(2)
Since each angle is less than or equal to π, and so
∠AOB/2 and ∠CO'D/2 is less than or equal to π
it suffices to show that :
tan(AOB/2) >tan(CO'D/2) ......(3)
From triangle AOB :
tan(AOB/2) = AB/(2*r₁)
tan(CO'D/2) = CD/(2*r₂)
Since AB = CD and r₁ < r₂ (As obtained from the result of (3) ), therefore, arc(AB) > arc(CD).
Hence, for two circles with different radii have chords AB and CD, such that AB is congruent to CD but the arcs intersected by these chords are not congruent.
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You start your working career when you are 24 years oldEach month, you deposit $144 into a pension planYou continue making deposits into the plan un you are 68 years oldWhat is the balance, in dollars, when the plan earns 6%, compounded monthly? Round your answer to the nearest cent
Using the monthly payment formula, it is found that the balance of the plan is of $26,731.23.
What is the monthly payment formula?It is given by:
[tex]A = P\frac{\frac{r}{12}\left(1 + \frac{r}{12}\right)^n}{\left(1 + \frac{r}{12}\right)^n - 1}[/tex]
In which:
A is the monthly payment.P is the total amount.r is the interest rate.n is the number of payments.The parameters for this problem are given as follows:
A = 144, r = 0.06, n = (68 - 24) x 12 = 528.
Then:
r/12 = 0.06/12 = 0.005.
[tex]A = P\frac{\frac{r}{12}\left(1 + \frac{r}{12}\right)^n}{\left(1 + \frac{r}{12}\right)^n - 1}[/tex]
[tex]144 = P\frac{0.005(1 + 0.005)^{528}}{(1 + 0.005)^{528} - 1}[/tex]
[tex]P = 144\frac{(1 + 0.005)^{528} - 1}{0.005(1 + 0.005)^{528}}[/tex]
P = $26,731.23.
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Simplify the expression.
Answer:
4x
Step-by-step explanation:
[tex]\frac{500x^{4} }{(5x)^{3} }[/tex] = [tex]\frac{500x^{4} }{125x^{3} }[/tex] = [tex]4x[/tex]
Scarlett is designing a package for a candy her company makes. She has cut several cardboard equilateral triangles, squares, rectangles, and regular pentagons to try out her ideas for the package. Which 3-D figure and combination of shapes can Scarlett use?
Equilateral triangle prism with two equilateral triangles and three rectangles
Pentagonal prism with one pentagon and five rectangles
Rectangular prism with four rectangles
Square prism with four squares
The 3-D figure and combination of shapes that Scarlett can use is A. Equilateral triangle prism with two equilateral triangles and three rectangles
What is a 3-D Figure?This refers to the solid figure or shape that has defined dimensions of length, width, and height.
Therefore, based on the fact that a 3-D figure is made up of six equal squares, option A is the best answer because it contains a total of six squares.
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the perimeter of a quadrant is 52cm, find the radius of the quadrant
The radius of the quadrant whose perimeter is 52cm is 14.56cm.
A quadrant is 1/4th of a circle, consisting of two radii, perpendicular to each other.
So, the perimeter of a quadrant consists of two radii and an arc, which is 1/4th the perimeter of a circle.
Therefore, the perimeter of the quadrant = 2r + (1/4)*(2πr) = 2r + (πr/2).
Now, we are given the perimeter of the quadrant = 52cm and are asked to find its radius.
We suppose the radius to be r cm.
Therefore, we can say that:
52 = 2r + (πr/2).
or, 52 = (4r + πr)/2
or, 52*2 = r(4 + π)
or, r = 104/(4 + π) = 14.56.
Therefore, the radius of the quadrant whose perimeter is 52cm is 14.56cm.
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Please Answer, Quickly
Answer:
Answers are below.
Step-by-step explanation:
1) 60 centimeters
2) Perimeter = 48, Area = 144
3) Circumference = 20π, Area = 100π
4) 180 feet
5) 75 meters
6) 15 yards
Hope this helps!
The number of registered users logged in to the new social media app varies with time. The table shows the average number of users logged in, y, on any given weekday, x hours after 6:00 a.m.
Answer:
1,483
Step-by-step explanation:
The equation that models this set of data is y=17.2x^2-226.3x+2184.5. Since x=0 represents 6:00 a.m, x=5 represents 11:00 a.m. Substitute 5 for x in the model, and solve for y.
Based on the number of registered users who log into the social media app during weekdays and weekends, the following are true:
1,483 users are logged in after 11 am. During the week, post at 8pm.During the weekends, post at 12 pm. When should the marketing department post the update?The given model for the users in the week is:
y = 17.2x² - 226.3x + 2,184.5
x is 5 because 11 am is 5 hours after 6 am:
= 17.2(5)² - 226.3(5) + 2,184.5
= 1,483 users
The company should post when there are the most people online and on weekdays that's 14 hours after 6 am which is:
=14 + 6
= 20:00
= 8 pm
On weekends this is 6 hours after 6 am:
= 6 + 6
= 12 pm
Missing information from question:
Model for calculating weekday users y = 17.2x² - 226.3x + 2,184.5.
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The function V(t) = 38000 (0.94)^t represents the value (in dollars) of a car "t" years after its purchase. Use this function to complete the statements below.
The value of this car is decreasing at a rate of ______
Describe how an exponential function model helped you answer this question.
*will give brainliest!
The value of this car is decreasing at a rate of 6% per year.
The function V(t) = 38000 (0.94)^t represents the value (in dollars) of a car "t" years after its purchase
Rate of change is defined as the change in value with rest to the time is called rate of change.
Here,
V(t) = 38000 (0.94)^t
Cleary, above function is an exponential function
while putting certain values in equation we have certain outcomes.
for,
V(1) = 35720; V(2) =33576.8; V(3) = 31562.192
Now, the rate of change is given by = [V(2)-V(1)/ V(1)] x 100
= [(33576.8-35720)/35720]*100
= 6%
now V(2) x 6% = V(3)
33576.8 x 6% = 31562.192 = V(3)
Thus, The required rate of decreasing care price is 6%.
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 There are 130 passengers in the plane they both want headphones and blanket we have 106 headphones and 156 blanket how many passengers can have both headphones and blankets? Explain
A. 106
B. 130
C. 138
D. 156
Answer:
262 passengers can have both headphones and blankets .
Step-by-step explanation:
I hope it will help you
When she subtracts 4 from both sides, Startfraction one-half EndFraction x equals negative StartFraction one-half EndFraction x. results. What is the value of ?
–1
–negative StartFraction one-half EndFraction
0
StartFraction one-half EndFraction.
The value of x in the equation 1/2x = -1/2x when 4 is subtracted from both sides is 0(not defined)
Subtraction of fraction
Startfraction one-half EndFraction x equals negative StartFraction one-half EndFraction
1/2x = -1/2x
Subtract 4 from both sides1/2x - 4 = -1/2x - 4
(x-8) / 2 = (-x-8) / 2
(x - 8) / 2 = (-x-8) / 2
cross product2(x - 8) = 2(-x - 8)
2x - 16 = -2x - 16
2x + 2x = -16 + 16
4x = 0
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Answer:c
is the answer
Step-by-step explanation:
Directions: Name the coefficient (s) in the following expressions: 1. 12s + 4t 2. 46rs + 10x 3. 12q + 14x 4. 10x + 10y 5. 17rs + 32x 6. 5x + 7y - 12z 7. 36ab + 70m 8. 3r + 19a + 10m 9. 7k + 16m 10. 8r + 5s 11. 9h + 120m 12. 12k + m 13. 7g + 15h + w 14. 4c - 8d + 12f 15. 6t + 17r - 35j
The coefficient are as follows:
What is Algebra?Algebra is the part of mathematics that helps represent problems or situations in the form of mathematical expressions.
1. 12s + 4t
Variables: s, t
Coefficient: 12, 4
2. 46rs + 10x
Variables: r, s, x
Coefficient: 46, 10
3. 12q + 14x
Variables: q, x
Coefficient: 12, 14
4. 10x + 10y
Variables: x, y
Coefficient: 10, 10
5. 17rs + 32x
Variables: r, s, x
Coefficient: 17, 32
6. 5x + 7y - 12z
Variables: x, y, z
Coefficient: 5, 7, -12
7. 36ab + 70m
Variables: a, b, m
Coefficient: 36, 70
8. 3r + 19a + 10m
Variables: r, a, m
Coefficient: 3, 19, 10
9. 7k + 16m
Variables: k, m
Coefficient: 7, 16
10. 8r + 5s
Variables: r, s
Coefficient: 8, 5
11. 9h + 120m
Variables: h, m
Coefficient: 9, 120
12. 12k + m
Variables: k, m
Coefficient: 12, 1
13. 7g + 15h + w
Variables: g, h, w
Coefficient: 7, 15 , 1
14. 4c - 8d + 12f
Variables: c, d, f
Coefficient: 4, -8, 12
15. 6t + 17r - 35j
Variables: t, r, j
Coefficient: 6, 17, -35
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PLS ANSWER BOTH OF THESE QUESTIONS
WILL MARK BRAINLIEST
EXPLANATION IS NOT NEEDED
Here are the awnsers
1. D ⅔
2.C 60%
points X, Y, and Z are colinear.
X
What is the slope of YZ in simplest form?
Based on the calculations, the slope of line YZ in simplest form is equal to 2.
How to determine the slope of YZ?Mathematically, the slope of a straight line can be calculated by using this formula;
[tex]Slope, m = \frac{Change\;in\;y\;axis}{Change\;in\;x\;axis}\\\\Slope, m = \frac{y_2\;-\;y_1}{x_2\;-\;x_1}[/tex]
Since points X, Y, and Z are collinear, we can deduce that the line passes through line Z at 6 units form the origin and 3 units for Y from the origin.
Substituting the parameters into the formula, we have;
[tex]Slope, m = \frac{6\;-\;0}{3\;-\;0}[/tex]
Slope, m = 6/3
Slope, m = 2.
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What is the value of the sum?
Drag and drop the answer into the box to match the sum with its value.
-7/9+2/3
someone please help omg
The equation for ΔFON is sin F = 9/18.
Hence, option B) sin F = 9/18 is the correct answer.
This question is incomplete, the complete question is;
Which equation is correct for ∆FON?
Answers:
A.) cos F= 9/18
B.) sin F 9/18
C.) sin F=18/9
D.) cos F=18/9
Which equation is correct for ΔFON?From the diagram, we have a right angle triangle.
Hypotenuse = 18Perpendicular height or opposite to ∠F = 9Equation of angle F = ?Note that; sinθ = Opposite / Hypotenuse
Therefore, for angle F
sin F = Opposite / Hypotenuse
sin F = 9/18
The equation for ΔFON is sin F = 9/18.
Hence, option B) sin F = 9/18 is the correct answer.
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find x and y
helppppp !!
3x + 6 = 48 (alternate angles are equal)
- 6
3x. = 42
÷3
x = 14 degrees
180-48 - 2y + 5y-9 =180
123 + 3y = 180
-123
3y = 57
÷3
y = 19 degrees
Explanation:
To find the last angle on the top straight line, do:
180 - (the 2 given angles).
So, 180 - (3x + 16, which is 48 due to alternate angles being equal). Then, minus the 2y.
(180 - 48 - 2y) & simplify => 132 - 2y
This gives you the equation for the missing angle on our top straight line.
Thus, co-interior angles add to 180. So, we add the new equation (132 - 2y) to 5y - 9.
Simplify
=> 123 + 3y (because - 2+5 =3)
and put it equal to 180. Solve for y
Hope this helps!
A telemarketer earns a base salary of $3,000 per month, plus an annual bonus of 2.5% of total sales above $250,000. which function represents the annual salary for total sales of x dollars, where x is greater than $250,000?
The function which represents the annual salary for total sales of x dollars, where x is greater than $250000 is 0.025x+29750.
Given basic salary=3000 p.m. , bonus 2.5% of total sales above $250000.
We have to make a function which shows the annual salary for total sales of x dollars where x is greater than $250000.
Function is a relationship between two or more variables which have each y values corresponding to x values.
According to question
Total basic salary of whole year=3000*12=$36000
We have been given total sales be x.
Sales above $250000 is x-250000
Bonus on sales=2.5%(x-250000)
Function f(x)=36000+2.5%(x-250000)
=36000+0.025x-0.025*250000
=36000+0.025x-6250
=0.025x+29750
Hence the function which shows the annual salary for total sales of x dollars is f(x)=0.025x+29750.
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Which polygon has an interior angle sum of 1260°?
Answer:
Step-by-step explanation:
Solution
Interesting question.
The formula for the sum of the interior angles is
(n - 2)*180 = x
In this case, x = 1260
(n - 2)*180 = 1260 Divide both sides by 180
(n -2 )* 180/180 = 1260/180
( n - 2) = 7 Remove the brackets
n - 2 = 7 Add 2 to both sides
n - 2 + 2 = 7 +2 The 2s on the left cancel
n = 9
Answer: Nonagon
The polygon with an interior angle sum of 1260° is the nonagon as per the concept of interior angles.
To find the sum of the interior angles of a polygon, we can use the formula:
Sum of interior angles = (n - 2) × 180°
where "n" is the number of sides of the polygon.
To achieve an interior angle sum of 1260°, we would need to consider a polygon with fewer sides.
For example, a nonagon (9 sides) would have an interior angle sum of 1260°:
Sum of interior angles = (9 - 2) × 180°
Sum of interior angles = 7 × 180°
Sum of interior angles = 1260°
So, a nonagon (a polygon with nine sides) has an interior angle sum of 1260°.
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How could you correctly rewrite the equation 4(5 + 3) = 2(22-6) using the distributive property ?
a car tire with radius 12 in. does 80 revolutions in a minute. how far does the car travel ?
Answer:
Travel distance in one minute is 6028.8 inches or 502.4 feet or 167.5 yards=======================
GivenTire has radius of 12 in;Tire does 80 revolutions per minute.To findTravel distance in one minuteSolutionUse circumference formula to find the tire circumference:
C = 2πrC = 2*3.14*12 = 75.36 inFind the distance by multiplying the number of revolutions by circumference:
d = 80*75.36 in = 6028.8 inConvert the inches to feet, or yards, considering 12 in = 1 foot and 3 feet = 1 yard:
6028.8/12 = 502.4 feet502.4 /3 = 167.5 yards