Answer:
The difference between the volumes is 728 ft³.
Step-by-step explanation:
Our first step will be to find the volume of the smaller pyramid. Notice that we have all the necessary dimensions. The formula for the volume of a pyramid is
[tex]V = \frac{A_bh}{3},[/tex]
where [tex]h[/tex] stands for the height and [tex]A_b[/tex] for the area of the basis. In this case [tex]h=4 ft[/tex], and the area of the basis, which is a rectangle, is [tex]A_b = 3 ft * 7 ft = 21 ft².[/tex] Then,
[tex]V = \frac{(21 ft²)(4 ft)}{3} = 28 ft³.[/tex]
Now, two calculate the volume of the second pyramid, recall that it has dimensions three times larger. This means, [tex]h=3*4 ft=12 ft[/tex] and [tex]A_b = (3*3 ft) *(3* 7 ft) = 9*21 ft² = 189 ft².[/tex] Then,
[tex]V = \frac{(189 ft²)(12 ft)}{3} = 756 ft³.[/tex]
Finally, we only need to substract the values of the volumes:
756 ft³-28 ft³= 728 ft³.
Please I have no clue
In a public opinion poll,624 people from a sample of 1,100 indicated they would vote for a specific candidate.how many votes can the candidate expect to receive from a population of 40,000
What are the factors of 4x2 + 23x − 6? (4x − 6)(x + 1) (4x − 1)(x + 6) (4x − 2)(x + 3) (4x − 3)(x + 2)
The factors of 4x^2 + 23x − 6 are (4x-1)and (x+6).
We have given that,
[tex]4x^2 + 23x - 6[/tex]
We have to determine the factors of given expression
What is the quadratic formula?[tex]x_{1,\:2}=\frac{-b\pm \sqrt{b^2-4\cdot \:a\left(c\right)}}{2\cdot \:a}[/tex]
[tex]x_{1,\:2}=\frac{-23\pm \sqrt{23^2-4\cdot \:4\left(-6\right)}}{2\cdot \:4}[/tex]
[tex]x_{1,\:2}=\frac{-23\pm \:25}{2\cdot \:4}[/tex]
[tex]x_1=\frac{-23+25}{2\cdot \:4},\:x_2=\frac{-23-25}{2\cdot \:4}[/tex]
[tex]=\frac{-23+25}{2\cdot \:4}[/tex]
[tex]=\frac{2}{2\cdot \:4}[/tex]
[tex]=\frac{1}{4}[/tex]
[tex]x=\frac{1}{4},\:x=-6[/tex]
Therefore the factors are(4x-1)and (x+6)
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What is 6x+34=8x+14?
Write the ordered pair that describes a point 12 units down from and 7 units to the right of the origin.
What is the point-slope form of a line with slope -3 that contains the point (10,-1)?
-0.09 as a fraction , but the 09 is repeating
Subtract.
14x-(6+7x)
(Simplify answer)
A carton has a length of fraction 2 1/6 feet, width of fraction 1 and 1/5 and height of fraction 2 and 1/2 feet. What is the volume of the carton
4 tulips to 6 daffodils in ratio
The ratio of 4 tulips to 6 daffodils will be 2:3.
What is a ratio?In mathematics, ratios are used to determine the relationship between two numbers it indicates how many times is one number to another number.
An ordered pair of numbers a and b, represented as a / b, is a ratio if b is not equal to 0. A proportion is an equation that sets two ratios at the same value.
The ratio of 4 tulips to 6 daffodils will be calculated as below:-
Ratio = 4 tulips : 6 daffodils = 2 tulips : 3 daffodils
Therefore, the ratio of 4 tulips to 6 daffodils will be 2:3.
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the cost per month of one cell phone plan is $30 plus and additional nickel for each text. write an equation that defines the total monthly cost,c, as a function of the number of taxts,t
What are the x-intercepts of the graph of the function f(x) = x2 + 4x – 12?
(–6, 0), (2,0)
(–2, –16), (0, –12)
(–6, 0), (–2, –16), (2, 0)
(0, –12), (–6, 0), (2, 0)
Answer:
x-intercepts are (-6,0 and (2,0)
First option is correct.
Step-by-step explanation:
The given equation is [tex]y=x^2+4x-12[/tex]
For x-intercept, y=f(x)=0. Thus, we have
[tex]0=x^2+4x-12[/tex]
We can split the middle term as 4x = 6x-2x
Thus, the equation becomes
[tex]x^2+6x-2x-12=0[/tex]
Now, we make group
[tex](x^2+6x)+(-2x-12)=0[/tex]
Take GCF from each of the group
[tex]x(x+6)-2(x+6)=0[/tex]
Factored out the common term
[tex](x+6)(x-2)=0[/tex]
Apply the zero product property,
[tex]x+6=0,x-2=0[/tex]
Solve for x
[tex]x-6,x=2[/tex]
Thus, x-intercepts are (-6,0 and (2,0)
First option is correct.
Answer:
A
Step-by-step explanation:
Answer this for 10 points
The profit that a company earns each month depend on the amount of product sold, p, for $855 each and the amount of money spent on rent, utilities, and other expenses, which always totals to $6,780. The CEO earns 15% of the profit. How much does the Ceo earn if the company sells 250 products in a given month?
Round 992,449 to the nearest hundred thousand
Mary has twice as many pencils as she has pens. Tom borrows a pen. Now, Mary has ten less pens than pencils. How many pencils does Mary does?
Write 18/13 as a decimal.
Enter your answer as a decimal rounded to the nearest hundredth, like this: 4.25
A fraction is a way to describe a part of a whole. The given fraction 18/13 in the form of a decimal will be equal to 1.38.
What is a Fraction?A fraction is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25.
The given fraction 18/13 in the form of a decimal can be written as,
18/13
= 1 5/13 (In the form of a mixed fraction)
= 1 + 0.384615
= 1.384615 ≈ 1.38 (In the form of a Decimal)
Hence, The given fraction 18/13 in the form of a decimal will be equal to 1.38.
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What is the product of 4xy and y2 + 2x?
4xy + 4xy 3
8x 2y + 4xy2
8x 2 + 4xy 3
8x 2y + 4xy3
how many 1/4 pound patties can be made from 5 pounds of chicken?
i will give brainliest to 1 out of how ever many answer!
Fraction 14 divided into 18
2/7 times 2/6 = what
The coordinates of three vertices of rectangle are A(1,-5),B(1,3),and C(10,3). Find the coordinates of the fourth vertex. Then, find the area of the rectangle.
What value does 4 represents in the number 487.009 ?
3rd place to the left of the decimal point is the hundreds place
so the number 4 represents 4 hundred
The set of ordered pairs described in the table below can be described as which of the following?
x y
1 5
2 2
3 5
a relation only
a function only
both a relation and a function
neither a relation nor a function
6x34 in distributrive property
an airplane flies 105 miles in 1/2 hour . how far can it fly in1 1/4 hours at the same rate of speed.
Sue and Kim earn $52 per week for delivering magazines. Sue worked for x weeks and earned an additional total bonus of $12. Kim worked for y weeks. Which expression shows the total money, in dollars, that Sue and Kim earned for delivering magazines? 64x + 52y 52x − 12 + 52y 52x + 64y 52x + 12 + 52y
HELP QUICK !!!!!! Give an example of an absolute value problem with no solution
Examples in real life and physics provide contexts for understanding situations where a direct solution is not possible or applicable.
An absolute value problem with no solution is one where the absolute value expression is set to a negative number. Since the absolute value of any number represents its distance from zero on a number line, it can never be negative. Consequently, an equation like |x| = -3 has no solution because there is no real number x that, when taken as an absolute value, results in a negative number.
Real-world Example...
In everyday life, think of a scenario such as locking oneself out of an encrypted system without any means of retrieval. The problem can't be solved directly (as there is no way to bypass encryption), but one might approach the matter sideways by resetting the system entirely, which doesn't address the original issue of being locked out.
Physics Context
In physics, an example of a situation where there is a force and a displacement but no work is done is when the force is applied perpendicular to the direction of the displacement. Since work is defined as the dot product of force and displacement, when the angle between them is 90 degrees, this product and thus work is zero.
The plant where you work has a cylindrical oil tank that is 2.5 feet across on the inside and 10 feet high. The depth of the oil in the tank is 2 feet. About how many gallons of oil ate in the tank
Answer:
There are 73.38 gallons in the tank.
Step-by-step explanation:
The diameter of the tank is = 2.5 feet
So, the radius is = [tex]2.5/2=1.25[/tex] feet
The depth of the tank = 2 feet
The volume of the cylinder is = [tex]\pi r^{2} h[/tex]
V=[tex]3.14\times(1.25)^{2} (2)[/tex]
= 9.81 cubic feet
Now, 1 cubic feet = 7.48 gallons
So, 9.81 cubic feet = [tex]7.48\times9.81=73.38[/tex] gallons
So, there are 73.38 gallons in the tank.
Which of these is mostly likely to describe the change received from a cash purchase?
A.Whole Number
B.Negative Integer
C.Rational Number
D.Irrational Number