Answer:
B by a factor of about 5.208
Step-by-step explanation:
Given two right square pyramids (A and B) with perimeters 396 m and 496 m, and corresponding heights of 72 m and 239 m, you want to which has the greater volume and by what factor.
VolumeThe volume of a right square pyramid is proportional to its height and to the square of its perimeter.
Pyramid B has both a longer perimeter and a greater height, so Pyramid B has the greater volume.
RatioThe constant of proportionality between the dimensions and the volume is the same for both pyramids, so the ratio of their volumes is ...
Vb/Va = ((Pb)²Hb)/((Pa)²Ha) = (496²·239)/(396²·72) ≈ 5.208
Pyramid B has about 5.2 times the volume of Pyramid A.
__
Additional comment
The volume of a right square pyramid is given by ...
V = 1/3s²h . . . . . where s is the side length and h is the height
V = 1/3(P/4)²h = (1/48)P²h . . . . where P is the perimeter of the base
find slope of 11x+8y=176 two ways
The slope of the line will be;
⇒ m = - 11/8
What is Equation of line?
The equation of line in point-slope form passing through the points
(x₁ , y₁) and (x₂, y₂) with slope m is defined as;
⇒ y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
Given that;
The equation of line is,
11x + 8y = 176
Now,
We know that;
The standard form of equation of line with slope m and y - intercept at b is,
⇒ y = mx + b
First way;
The equation of line is,
⇒ 11x + 8y = 176
We can change it into standard form of equation of line as;
⇒ 11x + 8y = 176
⇒ 8y = - 11x + 176
⇒ y = - 11/8x + 22
By compare, We get;
Slope (m) = - 11/8
Second way;
The equation of line is,
⇒ 11x + 8y = 176
⇒ y = - 11/8x + 22
Differentiate with respect to x,
⇒ dy/dx = - 11/8
⇒ m = - 11/8
Thus, The slope of the line will be;
⇒ m = - 11/8
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100 Points!! Graph h(x) = 32(0.45)x. What is the constant percent rate of change of f(x) with respect to x? Does the graph show growth or decay?
45% growth
45% decay
55% growth
55% decay
The constant percent rate of change of the function is option (d) 55% decay
The constant percent rate of change of the functionThe equation of the function is given as
f(x) = 32(0.45)^x
The above function is an exponential function
An exponential function is represented as
y = ab^x
Where b represents the growth or decay factor
So, we have
b = 0.45
We can see that the value of b is less than 1
This means that the graph would represent a decay
The percent rate of change is then calculated as
Rate = 1 - b
This gives
Rate = 1 - 0.45
Evaluate
Rate = 0.55
Rewrite as
Rate = 55%
Hence, the rate of change is 55% decay
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PLEASE HELPP Toshi is going to get a 7% raise after he works at his job for 1 year. If s represents his
starting salary, write an expression that shows how much he will make after his raise. PLEASEE HELP ME ITS THE LAST QUESTION AND I NEED THIS
Answer:
10%
Step-by-step explanation:
Mia is buying Ice Blast winter tires at Ryder's Auto Shop. The regular price of one tire is $129.50. The shop is having a sale on winter tires, so each Ice Blast tire is $25 off. Mia buys 4 tires. How much money does she spend on the tires?
Answer:
$418.00
Step-by-step explanation:
Factor this polynomial expression.
8x²+2x-15
O A. (2x-5)(4x+3)
O B. (2x+5)(4x-3)
O C. (4x+5)(2x - 3)
O D. (4x- 5)(2x+3)
1 point
The value of an automobile decreases each year and is described by the equation (t)- 24 000(0.95)',
where t is the number of years after the car is purchased. Estimate the rate at which the value of the auto
is changing 5 years after it is purchased.
a. -$1250/year
b. -$950/year
C. -$150/year
d. $150/year
The rate of change at which the value of the auto is -950/year.
What is the Rate of Change?
It is said that the rate at which one quantity changes in relation to another is known as the rate of change function.
In simple terms, when calculating the rate of change in one item, the amount of change in another is divided by the comparable amount of change in another.
From the given data of question,
[tex]V(t) = 24000*0.95^{t}[/tex]
Then, by definition, the rate of change =[tex]\frac{d(v(t))}{dt} = \frac{d(24000*0.95^{t} )}{dt}[/tex]
= [tex]24000*0.95^{t}*ln(0.95)[/tex]
For time (t) = 5 years
[tex]\frac{d(v(t))}{dt} = 24000*0.95^{5}*ln(0.95)[/tex]
= 24000*0.7737*(-0.0512)
= -950
Hence, the rate of change of the value of the auto is -950/year.
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A circle has a diameter of 30 inches.
What is the area of the circle?
225π in².
30π in².
900π in²
15π in².
The area of the circle is [tex]225\pi \ in.[/tex]
Hence, Option A is the correct answer.
A circle is a round-shaped figure that has no corners or edges. The Diameter is the longest chord of the circle. It divides the circle into two equal halves.
Diameter of the circle (d)= 30 in.
The radius of a circle is the distance from the center of the circle to any point on its circumference. The diameter is twice the radius of the circle.
The radius of the circle will be =d/2
= [tex]\frac{30}{2}[/tex]
= 15 in.
So, the radius of the circle is 15 in.
The area of the circle is given by [tex]A = \pi r^2[/tex]
So we have,
[tex]A = \pi r^2[/tex]
[tex]A = \pi 15^2[/tex]
[tex]A =225\pi \ in.[/tex]
Hence, the area of the circle is [tex]225\pi \ in.[/tex]
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IxI = 9
Can you please teach me how
to solve this?
Its called ;
Absolute value equations
Answer:
x= +/- 9
Step-by-step explanation:
absolute value is the number's positive value. x could be negative or positive, but its absolute value is positive. absolute value is how far away the number is from 0. if the assignment is on paper, write + above -.
Mrs. Hoeting purchased 1 7 8cups of snozberries. If she eats 1 2cup per serving, how many servings does Mrs. Hoeting have? Justify your answer.
Mrs. Hoeting have approximately 4 times of serving.
Given,
The quantity of snozzberry Mrs. Hoeting purchased = 1 7/8 cups = 15/8 cups
The quantity of snozzberry she eats per serving = 1/2 cups
We have to find the number of servings does Mrs. Hoeting have;
Number of servings = Quantity of snozzberry purchased / Quantity of snozzberry eats per serving
Number of servings = 15/8 ÷ 1/2
Number of servings = 15/8 × 2
Number of servings = 15/4
Number of servings = 3.75 ≈ 4
That is,
Mrs. Hoeting have approximately 4 times of serving.
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Using the declining-balance method, complete the table as shown (twice the straight-line rate): (Enter your answers as a whole dollar amount.) Auto: $26,000 Estimated life: 10 years Residual value: $600 Year Cost Accumulated Depreciation B.O.Y Book Value B.O.Y Depreciation Expense Accumulated Depreciation E.O.Y Book Value E.O.Y 1 A B C D E F 2 G H I J K L 3 M N O P Q R
Using the double-declining-balance method of depreciation, the completion of the table as shown is as follows:
Year Cost Accumulated Book Value Depreciation Accumulated Book
Depreciation B.O.Y Expense Depreciation Value
B.O.Y E.O.Y E.O.Y
1 $26,000 $0 $26,000 $5,200 $5,200 $20,800
2 $26,000 $5,200 $20,800 $4,160 $9,360 $16,640
3 $26,000 $9,360 $16,640 $3,328 $12,688 $13,312
What is the double-declining-balance method?
One of the depreciation methods in use is the double-declining-balance method, however it places more expense in the initial years of an asset's life.
The straight-line rate, which is calculated as the product of 100/estimated useful life multiplied by 2, is doubled in this depreciation technique.
The double rate is applied to the remaining balance at the end of each year for the depreciation expense.
The depreciation expense for the most recent year is calculated as the difference between the ending balance from the prior year and the residual value.
Auto = $26,000
Estimated useful life = 10 years
Residual = $600
Depreciable amount = $26,000 - $600 = 25,400
Straight-line depreciation rate = 100/10 = 10%
Double-declining depreciation rate =10% x 2 = 20%
Depreciation Expense:
1st year = 26000 x 20/100 = 5200
2nd year = 20800 x 20/100 = 4160
3rd year = 16640 x 20/100 = 3328
4th year = 13312 x 20/100 = 2662.40 = 2662
5th year = 10650 x 20/100 = 2130
6th year = 8520 x 20/100 = 1704
7th year = 6808 x 20/100 = 1361.6 = 1361
8th year = 5446 x 20/100 = 1089.2 = 1089
9th year = 4357 x 20/100 = 871.4 = 871
10th year = 3486 x 20/100 = 697.2 = 697
Year Cost Accumulated Book Value Depreciation Accumulated Book
Depreciation B.O.Y Expense Depreciation Value
B.O.Y E.O.Y E.O.Y
1 $26,000 $0 $26,000 $5,200 $5,200 $20,800
2 $26,000 $5,200 $20,800 $4,160 $9,360 $16,640
3 $26,000 $9,360 $16,640 $3,328 $12,688 $13,312
4 $26,000 $12,688 $13,312 $2,662 $15,350 $10,650
5 $26,000 $15,350 $10,650 $2,130 $17,488 $8,520
6 $26,000 $17,488 $8,520 $1,704 $19,192 $6,808
7 $26,000 $19,192 $6,808 $1,362 $20,554 $5,446
8 $26,000 $20,554 $5,446 $1089 $21,643 $4,357
9 $26,000 $21,643 $4,357 $871 $22,514 $3,486
10 $26,000 $22,514 $3,486 $697 $23,211 $2,789
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Exercise 2. Find m∠1 and m∠2
1)
angle 1 is 41
angle 2 is also 41
2)
angle 1 is 124
angle 2 is also 124
i need this fast help!!!
On Saturday morning, calls arrive at TicketMaster at the rate of 108 calls per hour. What is the probability of receiving fewer than three calls in a randomly chosen minute?
The base of a triangle is represented by the expression 2x-12.The height of the triangle is 8 units more than the length of the base.which expression represents the area of the triangle?
The expression which represents the area of the triangle : [tex]2x^{2}-16x+24[/tex].
Length of base = B = 2x - 12
Height = H = Length of base + 8
= 2x - 12 + 8
= 2x - 4
Area = [tex]\frac{1}{2}(B)(H)[/tex]
= [tex]\frac{1}{2}(2x-12)(2x-4)[/tex]
= [tex]\frac{4}{2}(x-6)(x-2)[/tex]
= [tex]2(x^{2} -8x+12)[/tex]
= [tex]2x^{2}-16x+24[/tex]
Hence, the expression is [tex]2x^{2}-16x+24[/tex].
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In the spherical triangle
A = 1200
B = 1350
and c = 300.
What is C ?
The value of C be sinC = - 371.932.
Given, the side of the triangle be c = 300
and the angles of the triangle be A = 1200 and B = 1350
Now, using the law of sines, we get
a/sinA = b/sinB = c/sinC = k
sinA/sinB = c/sinC
sin(1200)/sin(1350) = 300/sinC
0.8066/-1 = 300/sinC
sinC = - 371.932
Hence, the value of C be sinC = - 371.932.
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Answer:
- 371.932.
Step-by-step explanation:
can you help me find the answer
?
Answer:
15 is the answer
Zendaya runs a farm stand that sells blueberries and grapes. Each pound of blueberries sells for $2.50 and each pound of grapes sells for $1.25. Zendaya made $55 from selling a total of 33 pounds of blueberries and grapes. Write a system of equations that could be used to determine the number of pounds of blueberries sold and the number of pounds of grapes sold. Define the variables that you use to write the system.
The system of equation to represent Zendaya blueberries and grapes sells is as follow:
x + y = 33
2.50x + 1.25y = 55
How to represent situation with system of equation?Zendaya runs a farm stand that sells blueberries and grapes. Each pound of blueberries sells for $2.50 and each pound of grapes sells for $1.25. Zendaya made $55 from selling a total of 33 pounds of blueberries and grapes.
The system of equation that can be used to determine the number of pounds of blueberries sold and the number of pounds of grapes sold can be represented as follows:
Therefore,
let
x = number of pounds of blueberries
y = number of pounds of grapes
Hence,
x + y = 33
2.50x + 1.25y = 55
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Standard deviation of two sets:
Answer:
A = {1,2,3,4,5}
B = {5,6,7,8,9}
========================================================
Explanation:
Consider the set
A = {1,2,3,4,5}
The mean is found by adding up all the values to get 15, then divide by the number of values (5) to get 15/5 = 3
The standard deviation is a bit more complicated, and it depends which version you select (sample vs population). Let's say we go for the population standard deviation. Using a calculator gets us a population standard deviation of roughly 1.414; this value tells us how spread out the data set is. The higher the value, the more spread out the data set will be.
Now consider adding some fixed value to each item in set A. Let's add 4 to each value
We go from A = {1,2,3,4,5} to B = {5,6,7,8,9}
If you were to use a calculator, then the population standard deviation is still roughly 1.414 but the mean is now 7. The standard deviation hasn't changed because the values are still spread out the same way.
Note: infinitely many answers are possible for sets A and B.
graph the linear equation x = -3
A normal distribution of BMCC MAT51 scores has a standard deviation of 1.5. Find the z-scores corresponding to each of the following values: (Round to 2 decimal places) a. A score that is 1.5 points above the mean. (Hint: "x - mean = 5" is 5 above the mean) z= b. A score that is 1.5 points below the mean. z= c. A score that is 1.36 points above the mean. z= d. A score that is same as the mean. z=
A score that is 1.5 points above the mean is 1, A score that is 1.5 points below the mean is -1, A score that is 1.36 points above the mean is 0.90 and A score that is the same as the mean is 0.
What is normal distribution?A normal distribution is an arrangement of a data set in which most values cluster in the middle of the range and the rest taper off symmetrically toward either extreme.
Given that, a normal distribution of BMCC MAT51 scores has a standard deviation of 1.5.
At above 1.5
Z = (μ + 1.5 - μ)/2 = 1
At below 1.5
Z = (μ -1.5 - μ)/2 =-1
At above 1.36
Z = (μ + 1.36 - μ)/2 = 0.90
At same as the mean
Z = (μ - μ)/2 = 0
Hence, A score that is 1.5 points above the mean is 1, A score that is 1.5 points below the mean is -1, A score that is 1.36 points above the mean is 0.90 and A score that is the same as the mean is 0.
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After tax, Lance paid $238.14 for a computer monitor that sells
for $226.80. What is the sales tax rate written as a percent?
Round to the nearest tenth if necessary.
Y=-x-7
5y+3x=-13
Solve the system!
Will give brainless if you show work!
Answer:
Step-by-step explanation:
y=-x-7........(1)
5y+3x=-13..........(2)
(2) - 3x(1)=>
5y+3x= -13
3y + 3x = - 21
(-) (-) (+)
-----------------------
2y+0=8
=>y=4
(1)=>
y= -x-7
=>x= -y-7
=>x= -4-7
=>x= -11 .
Answer:
x=-11 & y= 4
Step-by-step explanation:
y=-x-7
5y+3x=-13
y+x=-7—eqn i
5y+3x=-13—eqn ii
multiply eqn i by 5
5y+5x=-35
multiply eqn Ii by 1
5y+3x=-13
put eqn I and Ii together
5y+5x=-35
5y+3x=-13
subtract
2x=-35--13
2x=-35+13
2x=-22
divide both sides by 2
2x/2 = -22/2
x=-11
put x=-11 into eqn i
y+x=-7
y-11=-7
y=-7+11
y=4
Which expression is the product of (x^2 -5x-4)and(2x+1)?
Answer:
2x^3+x^2-23x-4
Step-by-step explanation:
x^2(2x+1)-5x(2x+1)-4(2x+1)
2x^3+x^2-10x-5x-8x-4
=2x^3+x^2-23x-4
IXL Help Fast Please !
Answer:
x=11
Step-by-step explanation:
we know these 2 angles added together is equal to 180 so we can make these 2 equations equal to 180
(6x+12)+(10x-8)=180
16x+4=180
16x=176
x=11
Hopes this helps please mark brainliest
What would be the 5 number summary for this data: 18,19,21,23,23,23,24,25,25,31 ?
The 5-number summary of the given data is as follows:
Minimum: 18Quartile Q1: 20.5Median: 23Quartile Q3: 25Maximum: 31What is 5 number summary?A set of descriptive statistics called the five-number summary is used to describe a dataset. When conducting descriptive analyses or conducting an initial analysis of a sizable data set, a five-number summary is particularly helpful. The maximum and minimum values in the data set, the lower and upper quartiles, and the median make up a summary's five values.The lower or first quartile of the first group's median is equal to (0 + 1)/2, or 0.5. The median for the second group is (27 + 61)/2, which is 44. This value represents the upper or third quartile. Observations 0 and 63 are the smallest and greatest values. The five-number summary is therefore 0, 0.5, 7.5, 44, 63.So, the data set is:
18,19,21,23,23,23,24,25,25,31Then, the 5-number summary will be:
Minimum: 18Quartile Q1: 20.5Median: 23Quartile Q3: 25Maximum: 31Therefore, the 5-number summary of the given data is as follows:
Minimum: 18Quartile Q1: 20.5Median: 23Quartile Q3: 25Maximum: 31Know more about 5 number summary here:
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Dyna's house is 6.85 kilometeres from Carl's house. Sanjay's house is 2 3/10 kilometeres closer to Carl's house than Dyna's house is. What is the distance in kilometers from Sanjay's house to Carl's house?
The distance in kilometers from Sanjay's house to Carl's house is 4.55 kilometers.
According to the question,
We have the following information:
Dyna's house is 6.85 kilometers from Carl's house. Sanjay's house is 2 3/10 kilometers closer to Carl's house than Dyna's house is.
(Closer means that the distance will be [tex]2\frac{3}{10}[/tex] kilometers less than 6.85 kilometers.)
Now, converting the mixed fraction into decimal point:
23/10 = 2.3 kilometers
Now, let's take the distance from Sanjay's house to Carl's house to be x kilometers.
x = 6.85 - 2.3
x = 4.55 kilometers
Hence, the distance in kilometers from Sanjay's house to Carl's house is 4.55 kilometers.
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In the high school band there are 2 percussionists on the sideline to every 13 marching instruments. If the high school band has 150 total members, then how many percussionists are on the sideline?
Answer:
180 / (13 + 2) =12 bands of 15 students each.
Since 2 from each band are sidelined, then:
12 x 2 = 24 - number of students on the sidelines, so that:
13 x 12 + 24 =180 - total number of students.
How can you solve 1/2 ÷ 1/3 ?
Answer:
3/2
Step-by-step explanation:
1/2 ÷2/3
1/2x3/2
1x3=3
1x2=2
=3/2
Find the length of the third side. If necessary, write in simplest radical form.
Answer:
3√5
Submit Answer
Check the picture below.
[tex]\textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies \sqrt{c^2 - b^2}=a \qquad \begin{cases} c=hypotenuse\\ a=adjacent\\ b=opposite\\ \end{cases} \\\\\\ \sqrt{9^2-(3\sqrt{5})^2}=a\implies \sqrt{81-3^2(5)}=a \\\\\\ \sqrt{81-9(5)}=a\implies \sqrt{81-45}=a\implies \sqrt{36}=a\implies \boxed{6=a}[/tex]
If three times the measure of an angle is decreased by 10, the result is the same as when twice the measure of the angle is decreased by 8. What is the measure of the
angle?
I need help with my math please
Answer:
41-29=12
756+223=979
821-690=131
eleventh, fifteenth, nineteenth
4
2
