To the nearest tenth, 5,557.23 is the value of the quantity at 1. 65 hours when a 3400-valued quantity increases exponentially at a rate of 1.5% every three minutes.
Given that,
A 3400-valued quantity increases exponentially at a rate of 1.5% every three minutes.
We have to find to the nearest tenth, what is the value of the quantity at 1. 65 hours.
We know that,
Present value= 3,400
Growth rate (g)= 1.5% every 3 minutes
Number of periods (n)= (1.65×60) / 3= 33
To calculate the future value,
We know
Future Value= PV×(1+g)ⁿ
Future Value= 3,400×(1.015³³)
Future Value= 5,557.23
Therefore, To the nearest tenth, 5,557.23 is the value of the quantity at 1. 65 hours when a 3400-valued quantity increases exponentially at a rate of 1.5% every three minutes.
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Find the length of the third side. If necessary, write in simplest radical form.
Legs- 9 and 7
Hypotenuse-?
Answer:
√130
Step-by-step explanation:
|
? | 7
|
---------------------------
9
a² + b² = c²
7² + 9² = c²
49 + 81 = c²
130 = c²
√130 = √c²
√130 = c
I hope this helps!
If l is parallel to m, and line PQ is perpendicular to line RQ, then find the measure for each numbered angle.
m<1= _____
m<2= _____
m<3= _____
m<4= _____
The measure of the numbered angles are:
m ∠1 = 42°
m ∠2 = 48°
m ∠3 = 132°
m ∠4 = 90°
Calculating the measure of numbered anglesFrom the question, we are to determine the measure of each numbered angle.
From the given information,
Line l is parallel to line m and line PQ is perpendicular to line RQ.
Since line PQ is perpendicular to line RQ,
Then, we can write that
48° + m ∠1 = 90°
m ∠1 = 90° - 48°
m ∠1 = 42°
Also,
Since line PQ is perpendicular to line RQ,
m ∠4 = 90°
Since line l is parallel to line m,
m ∠2 = 48° (Alternate interior angles)
m ∠3 + m ∠2 = 180° (Linear pair theorem)
m ∠3 + 48° = 180°
m ∠3 = 180° - 48°
m ∠3 = 132°
Hence, the measure of angle 3 is 132°
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The Algebra 3-4 PLC had to write new unit tests for the
district. Mr. Bihn took eight hours to write one new test.
Mrs. Inscoe took five hours to write one new test. How
long would it have taken them had they worked
together?
They both Bihn and Inscoe can do same work in 3(1/13) hours.
How to solve work time problems?
Time and work problems is very easy to solve.First take the LCM of given days.It gives the total part of work.Next calculate efficiency of given persons by using the formula.Efficiency = (work)/(time)
Bihn can write one test = Eight hours
Bihn's one hour work = 1/8
Inscoe can write one test = Five hours
Inscoe's one hour work = 1/5
Bihn and Inscoe 's one hour work = 1/8 + 1/5
= (5 + 8)/40
= 13/40
Both Bihn and Inscoe can do same work in 40/13
= 3(1/13) [13 * 3 + 1]
Hence, they both Bihn and Inscoe can do same work in 3(1/13) hours.
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Segment BD bisects angle ABC measure angle ABC equals 7x. The measure angle ABD equals 3x+25. Find the measurement of angle DBC
The measurement of angle DBC is 100°. It can be obtained by the properties of bisector of an angle and algebriac multiplication.
What is angle bisector?
An angle bisector is the ray or line segment that divides the angle into two equal parts.
Since the segment BD bisects angle ABC hence,
∠ABC = ∠ABD+∠DBC ..... (1)
Also, since segment BD bisects angle ABC hence,
∠ABD = ∠DBC
Use this fact in equation (1)
∠ABC = ∠ABD+∠ABD
∠ABC =2 ∠ABD
Now, substitute values and use algebriac multiplication.
7x = 2(3x+25)
7x = 6x+50
7x - 6x= 50
x=50
Now, substitute the value of x in the expression of ∠ABD.
∠ABD = 3x+25
∠ABD = 3(50)+25
∠ABD = 100
Now, since ∠ABD = ∠DBC hence, ∠DBC = 100.
Hence, the measurement of angle DBC is 100°.
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If me and my brother pay for groceries and the total was 443 and I pay 243 and he pays 200 but we get paid back 75 each how much should I get paid
find the value of x,y and z
Answer: Z=80
Step-by-step explanation:
In the figure below, points D, B, E, F, and lie in plane X.
Points A and C do not lie in plane X.
For each part below, fill in the blanks to write a true statement.
The blanks are filled as below
(b) G and E are distinct points that are collinear.(c) F, D, B, and G are distinct points that are coplanar.(d) Suppose line AD is drawn on the figure. Then AD and AC are distinct lines that intersect.What are collinear points?Collinear points are those that are situated along a single straight line.
Collinear points are those that are on a line either close to or far from another point, it can be more than two points.
While coplanar points imply lying on the same plane
In the diagram,
E, F, and G are collinear points
D, B, E, F, and G are coplanar points
A, B, and C are another collinear points
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-9x - 2y = -12
-3x = y
find an equation in standard form for the ellipse with the vertical major axis of length 6 and minor axis of length 4. (2 points)
Standard form of ellipse has equation [tex]\frac{y^2}{a^2} +\frac{x^2}{b^2} =1[/tex] where, a and b are the halves of the length of major and minor axis respectively.
Given that,
Length of major axis(2a)=6.
So
a=6/2
=3
Length of minor axis(2b)=4.
So
b=4/2
=2
Putting in equation of standard ellipse. We get
[tex]\frac{y^2}{3^2} +\frac{x^2}{2^2} =1[/tex]
After simplifying
4y² + 9x² = 36
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A 17 1/2 inch candle burns down in 10 hours. At what rate does the candle burn, in inches per hour?
The rate the candle burn down is 7 / 4 inches per hour.
How to find the rate the candle is burning?The [tex]17\frac{1}{2}[/tex] inches candle burns down in 10 hours. The rate the candle burn down in inches per hour can be calculated as follows:
In math, a rate is a ratio that compares two different quantities which have different units.
Hence,
rate = length of the candle / time
length of the candle = 35 /2 inches
time = 10 hours
rate = 35 / 2 ÷ 10
rate = 35 / 2 × 1 /10
rate = 35 / 20
rate = 7 / 4 inches per hour
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A coffee shop sells various types of hot beverages. For one particular drink, the store owners are trying to determine the price that will result in the best sales. The revenue, cost, and profit functions for this drink, based on price, are represented on the graph. Using the graph, which price should result in the maximum profit for the sales of this drink?
A graph shows the Price per Drink in dollars on the x-axis and the Total in dollars on the y-axis. A parabola R of x vertex at (3.5, 2,800) intercepts the x-axis. Another parabola P of x vertex at (4, 1,600) and C of x intersect both parabolas
A.
$2.85
B.
$3.60
C.
$4.00
D.
$5.80
Answer:
C. $4.00
Step-by-step explanation:
Profit, which is given by [tex]P(x)[/tex], is maximized when the price per drink is $4.00, as shown on the graph.
Given the explicit formula for an arithmetic sequence find the first five terms and the
52nd term:
an = -5n-22
Answer:
a₁ = -27
a₂ = -32
a₃ = -37
a₄ = -42
a₅ = -47
a₅₂ = -282
Step-by-step explanation:
An explicit formula for an arithmetic sequence allows you to find the nth term of the sequence.
Given explicit formula:
[tex]a_n=-5n-22[/tex]
To find the first 5 terms, substitute n = 1 through 5 into the given formula:
[tex]\begin{aligned}\implies a_1&=-5(1)-22\\&=-5-22\\&=-27\end{aligned}[/tex]
[tex]\begin{aligned}\implies a_2&=-5(2)-22\\&=-10-22\\&=-32\end{aligned}[/tex]
[tex]\begin{aligned}\implies a_3&=-5(3)-22\\&=-15-22\\&=-37\end{aligned}[/tex]
[tex]\begin{aligned}\implies a_4&=-5(4)-22\\&=-20-22\\&=-42\end{aligned}[/tex]
[tex]\begin{aligned}\implies a_5&=-5(5)-22\\&=-25-22\\&=-47\end{aligned}[/tex]
To find the 52nd term, substitute n = 52 into the given formula:
[tex]\begin{aligned}\implies a_{52}&=-5(52)-22\\&=-260-22\\&=-282\end{aligned}[/tex]
If f (a) = b, then which of these points is on the graph of f(x)?
A) (a, b)
B) (a, f(b))
C) (b, a)
D) (f (a), f(b))
If f (a) = b, then the point that is on the graph of f(x) is; (a, b)
How to interpret the range and domain of a function?The domain of a function is defined as the set of all possible input values that makes the function possible. Meanwhile, the range of a function is the set of all possible output values that makes the function possible.
Now, we are given that f(a) = b.
Usually when denoting the value of the input of a function, we can say for example that f(x) = y which means that at the input value of x, the output of the function is y and as such, (x, y) is a coordinate of the function or graph.
Thus, in our question, we can say that (a, b) is a coordinate of the graph f(a) = b
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-5x - Зу = 9
4x 18y = 54
can someone help out by using the substitution method?
By using substitution method, x = 0, and y = -3 are the solutions of the given system of equations.
What is substitution method?
In order to solve a system of equations, the substitution approach is typically utilized in mathematics. The first equation involving the variable must be solved using this method before the variable's value is substituted in the second equation.
Consider the given system of equations
-5x - 3y = 9 ..(1)
4x - 18y = 54 ..(2)
From equation (1),
-5x = 9 + 3y
[tex]x =- \frac{9+3y}{5}[/tex] ..(3)
Plug the value of x in equation (2),
[tex]4(-\frac{9+3y}{5})- 18y = 54\\-36-12y-90y = 270\\ -36 - 102y=270\\102y = -36-270\\102y=-306\\y = -3[/tex]
Plug y = -3 in equation (3)
[tex]x = -\frac{9+3(-3)}{5} =-\frac{9-9}{5} =0[/tex]
x = 0
Hence, by substitution method x = 0 and y = -3.
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when comparing the means of two populations, it is often preferable to use a two-sample t test, rather than a one-way anova f test because the non-pooled t statistic does not require the assumption that the populations have equal .
When comparing the means of two populations, it is often preferable to use a two-sample t test, rather than a one-way ANOVA f test because the non-pooled t statistic does not require the assumption that the populations have equal Variances.
What are the assumption of non-pooled t statistics are following:The observations should be independent and randomly selected.The parent population from which observations are taken is normally distributed.The observations should be continuous.In non-pooled t statistic, the population variances need not to be equal.The assumptions of one-way ANOVA F test are following:The observations should be independent and randomly selected.The population from which observations are taken is normally distributed.The observations are continuous in nature.The variances of population are equal.To know more about Statistics here: https://brainly.com/question/218301
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Which set of ordered pairs represents a function?
The set of ordered pairs which represents a function as required in the task content is; { (-2, 0), (-5, -5), (-1, 3), (2, 0) }.
Which set of ordered pairs represents a function?It follows from the task content that the set of ordered pairs which represents a function is to be identified among the answer choices.
It is noteworthy to know that a function is a special kind of relation in which case each input value is assigned only one output value.
Put simply, no one input value has more than one output value assigned to it.
On this note, the answer choice which correctly represents a function among the answer choices is; { (-2, 0), (-5, -5), (-1, 3), (2, 0) }.
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5 divided by 19 vvchgdvbdvvvdbbxbvxvvdhhsjjshhhdbhshhhdhhshshhshdggdhshgdgfduhf
In 1972, about 22 crushed beverage cans weighed one pound. In 2002, beverage cans were lighter and about 34 crushed beverage cans weighed one pound. Every minute of every day, an average of 113,204 beverage cans are recycled. A: About how many pounds of beverage cans are recycled in an hour?
B: About how many tons of beverage cans are recycled in an average day?
C: About how many kilograms of beverage cans are recycled in a day?
A) The number of pounds that the beverage cans are recycled in an hour is 119772 pounds
B) The number of tons that the beverage cans are recycled in an average day is 2397 ton
C) The number of Kilograms that the beverage cans are recycled in a day is 57528000 kg
What is a pound?The pound is the main unit of sterling, and the term "pound" is frequently used to refer to British currency in general, which is often qualified in foreign contexts as the British pound or the pound sterling.
In 2002 about 34 beverages can weigh one pound.
In one minute 113204 beverage cans are recycled.
In one hour, 60 minutes number of beverage cans recycled=113204×60
=6792240
34 beverage cans weight 1 pound
1 beverage cans weight=1/34 pounds
A) 6792240 beverage can weigh=1
=(1/34)(6792240) pound
=119771.765 pound
≈119772 pound
B) So, In 24 hours, no. of pounds recycled
=119772×24 pound
=119772×24×0.0005 ton
=2397.26 ton
≅2397 ton in one day.
C) So, In 24 hours, no. of tons recycled
=2397×24 ton
=2397×24×1000 kg
=57528000 kg
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Solve the absolute value equation.
|4x| + 1 = 25
=====================================================
Work Shown:
|4x| + 1 = 25
|4x| = 25-1
|4x| = 24
4x = 24 or 4x = -24
x = 24/4 or x = -24/4
x = 6 or x = -6
------------------
Check:
Let's plug x = 6 into the original equation and simplify both sides.
|4x| + 1 = 25
|4*6| + 1 = 25
|24| + 1 = 25
24 + 1 = 25
25 = 25
This confirms x = 6 is a solution.
The steps for x = -6 will be very similar.
How much greater is the surface area of the rectangular prism than the surface area of the cube.
The surface area of the rectangular prism is 18 sq cm greater than the surface area of the cube.
Here, we are given a rectangular prism and a cube as shown in the figure below.
The three sides of the prism are- 2, 3 and 6
Thus, the total surface area of the cube will be-
2 [(2*3) + (3*6) + (6*2)]
= 2[6 + 18 + 12]
= 2*36
= 72 cm square
Now, the side of the cube is 3 cm
Thus, the total surface area of the cube will be-
6( 3*3 )
= 6*9
= 54 cm square
Thus, the difference between the surface area of prism and cube is = 72 - 54
= 18 cm square.
Thus, the surface area of the rectangular prism is 18 sq cm greater than the surface area of the cube.
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Your question was incomplete. Check for the missing figure below.
The correlation coefficient r between an employee's age, x, and yearly salary, y, is
0. 923
What percent of the variation in yearly salaries can be explained by differences in the
employees' ages?
31. 7%
40. 1%
85. 2%
92. 3%
The correlation coefficient r between an employee's age, x, and annual income, y, given as 0. 923, will vary by 85.2% of its value.
What is correlation coefficient?The Pearson correlation coefficient, sometimes referred to as Pearson's r, Pearson's product-moment correlation coefficient, bivariate correlation, or simply the correlation coefficient, is a statistical indicator of the linear relationship between two sets of data. A correlation coefficient is a statistical indicator of how well changes in one variable's value predict changes in another. When two variables are positively linked, the value either rises or falls together. With a correlation value of 1, there is a fixed proportional rise in one variable for every positive increase in the other. For instance, shoe sizing increases almost perfectly with foot length.
Here,
The correlation coefficient= 0.923
The percent of variation,
=correlation coefficient²*100
=0.923²*100
=85.192%
=85.2%
When the correlation coefficient r between an employee's age, x, and yearly income, y, is provided as 0. 923, the percent of variance will be 85.2%.
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REASONING 11. Can the value of o*g_{2}(- 4) * befounc ? What about the value of log ? Why or why not ? What does this tell you about the domain of log ?
The pink figure is a dilation image of the black figure. The labeled point is the center of dilation. Tell whether the dilation is an enlargement or reduction. Then find the scale factor of the dilation.
Clearly, it is a reduction with scale factor 2
The rightmost line of the black figure has 8 units and pink has 4 units similarly the first horizontal link of black has 4 while pink has 2 units. By labeling the sides of both figures and finding the ratio of the sides of the black figure to the pink figure is 2 so it is deduced that the scale factor is 2 and its reduction as black figure is an enlargement of pink.
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The pink figure is a dilation image of the black figure. The labeled point is the center of dilation. The dilation is a reduction with scale factor 2.
In mathematics, what is dilation?In mathematics, dilation means Reducing the object's size by dilation is a change. The items are enlarged or shrunk through dilation. An image that retains the original shape is created by this alteration. The size of the form does differ, though.
The rightmost line of the black figure has 8 units and pink has 4 units similarly the first horizontal link of black has 4 while pink has 2 units. By labeling the sides of both figures and finding the ratio of the sides of the black figure to the pink figure is 2 so it is deduced that the scale factor is 2 and its reduction as black figure is an enlargement of pink.
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40 PIONTS FOR ANSWERING 2 Q'S, I WILL PICK BRIANLISET
my equation for Q 7: C=2.7m+1.95
8. For the Raleigh company write an equation in point-slope form to represent the amount charged, C, for m number of miles for the company in Raleigh, NC.
9. Write an equation in standard form to represent the amount charged, C, for m number of miles for the company in Raleigh.
Answer:
8.m = ∞
9.[tex]m=\frac{20c-39}{54}[/tex]
Step-by-step explanation:
8.The equation is a vertical line, so the slope is ∞
so the answer for 8. is m = ∞
9.Switch sides:
2.7m + 1.95 = c
Multiply both sides by 100:
2.7m · 100 + 1.95 · 100 = c · 100
Refine:
270m + 195 = c · 100
Move 195 to the right side so it would be: 270m = c · 100 - 195
And now Divide both sides by 270
[tex]\frac{270m}{270}[/tex] = [tex]\frac{c*100}{270}[/tex] - [tex]\frac{195}{270}[/tex]
And now all that's left is to Simplify it
so the answer for answer 9. is [tex]m=\frac{20c-39}{54}[/tex]
4.27(.7)=
And
4.23 x .06 =
Answer:3.2
Step-by-step explanation:
The wholesale price for a desk is $137 . A certain furniture store marks up the wholesale price by 16% . Find the price of the desk in the furniture store.
The marked-up price of the desk in the furniture store is $158.92.
What is the markup?The markup is the difference added to the cost of a product or service.
The markup represents the seller's profit on the cost.
The markup differs from the margin, which is the ratio of the seller's profit to the sales price.
The wholesale price of a desk = $137
Markup rate = 16%
Marked-up price = $158.92 ($137 x 1.16)
Thus, the desk is sold at the marked-up price of $158.92.
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What is the value of X
Answer:
x = 22/5; m∠TKW=m∠XHK = 15.2°
Step-by-step explanation:
Angles TKW and XHK are corresponding angles (as they lie on the same side of the traversal and on the bottom left side of their respective lines) and are thus congruent and equal.
By setting the two equations equal to each other, we can find the value.
After this, we can plug in x for any one of the equations and find the measure of both angles:
[tex]8x-20=3x+2\\8x=3x+22\\5x=22\\x=\frac{22}{5} \\\\TKW=8(\frac{22}{5})-20\\ TKW=\frac{176}{5}-20\\ TKW=\frac{76}{5}=15.2\\ TKW=XHK[/tex]
Can anybody help me with this?
The Height of trees are equal after 4 years and the height is 54 inches.
What is linear equation?A linear equation is a equation which draws straight line on the plot
when plotted.
Given,
Height of tree A at the time of planting = 38 inches
Height of tree B at the time of planting = 22 inches
Each year tree A grow = 4 inches
Each year tree B grow = 8 inches
Let's make an equation for the height of the trees,
H = 38 +4t
H = 22+8t
Now the time when height of both the trees will equal
38 + 4t = 22 + 8t
4t = 16
t = 4
Hence , After 4 years the height of both the trees will equal and the height of both the trees after 4 years will be 54 inches.
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A cylindrical rod of steel (e = 207 gpa) having a yield strength of 310 mpa is to be subjected to a load of 11,100 n. If the length of the rod is 500 mm, what must be the diameter to allow an elongation of 0. 38 mm?.
the diameter to allow an elongation of 0. 38 mm therefore required diameter is 7.65 mm
Given the data in the question;
F = 11100 N
l₀ = 310 mm = 0.31 m
E = 207 GPa = 207 × 10⁹ N/m²
Δl = 0.38 mm = 0.0005 m
So, lets assume the deformation is elastic;
d₀ = √( [4l₀F] / [πEΔl] )
we substitute
d₀ = √( [4 × 0.38 × 11100] / [π × (207 × 10⁹) × 0.0005]] )
d₀ = √( 10123.2 / 172787595.947 )
d₀ = √( 5.85875 × 10⁻⁵ )
d₀ = 0.007654 m
d₀ = ( 0.007654 × 1000 )mm
d₀ = 7.65 mm
Therefore, required diameter is 7.65 mm
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Find the length of the segment connecting (-4, 3) and (-5,2). Provide
an answer accurate to the nearest tenth.
The length of the segment connecting (-4, 3) and (-5,2) is 1.4.
How to find length of segment?The length of a line segment can be measured by measuring the distance between its two endpoints.
Therefore, the length of the segment connecting (-4, 3) and (-5,2) can be found as follows:
length of the segment = √(2 - 3)² + (-5 + 4)²
length of the segment = √(-1)² + (-1)²
length of the segment = √1 + 1
length of the segment = √2
length of the segment = 1.41421356237
length of the segment = 1.4
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