Answer:
28
Step-by-step explanation:
The constant variation, a, is equal to the product of x and y when they are both known. In this case, when x = 7 and y = 4, the constant variation is 4 * 7 = 28. So, the equation for the inverse variation is y = 28 / x.
Each side of the base of a square pyramid measures 8 inches. The height of each lateral face of the pyramid is also 8 inches.
What is the surface area of the pyramid?
The surface area of the pyramid is 3136 square inches.
What is pyramid?A three-dimensional shape is a pyramid. A pyramid's flat triangular faces unite at a common point known as the apex and have a polygonal base. The bases are joined to the peak to create a pyramid. The lateral face is a triangle face formed by the connection of each edge of the base to the apex.
Given:
Each side of the base of a square pyramid measures 8 inches.
The height of each lateral face of the pyramid is also 8 inches.
The perimeter of the base P is 32 inches.
The base area B = 8 x 8 = 64 square inches.
The surface area of the pyramid,
= B + 12(P x L)
= 64 + 12(32 x 8)
= 3136 square inches.
Therefore, the surface area is, 3136 square inches.
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Your asking how to count by 2's
2,4,6,8,10,12,14,16,18,20,22,24,26,28,30
I hope this helps if u need more help than ill do any number skip counts.
BYEEE!!!!
The sequence 2,4,6,8,10,12,14,16,18,20,22,24,26,28,30 has 1,2,3,4,5,6,7,8,9,10,11,12,13,14,15 of 2's
What is Number system?A number system is defined as a system of writing to express numbers.
The concept on skip counting by 2’s or twos is an essential skill to get the idea when we progress to learn the concept on counting to basic addition.
2=2×1
4=2×2=2 times
6=2×3=3 times
10=2×5=5 times
12=2×6= 6 times
14=2×7=7 times
16=2×8=8 times
18=2×9=9 times
20=2×10= 10 times
22=2×11=11 times
24=2×12=12 times
26=2×13=13 times
28=2×14=14 times
30=2×15=15 times
Hence, the sequence 2,4,6,8,10,12,14,16,18,20,22,24,26,28,30 has 1,2,3,4,5,6,7,8,9,10,11,12,13,14,15 of 2's.
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Simplify, then answer A, B, C, or D.
Answer:
D. 74
Step-by-step explanation:
Answer:
D=74
Step-by-step explanation:
10 + (8/2)^3
10 + 512/8
10 + 64
Answer: 74
An oil exploration firm is to drill 10 wells, each in different locations. Each well has a probability of 0.1 of producing oil. It will cost the firm $60,000 to drill each well. A successful well will bring in $1 million, taking into account the cost of drilling.
1. What is the probability that the firm will lose money on the ten wells?
2. What is the probability that the firm will gain $1.5 or more from the ten wells?
The probability the firm will lose money from 10 wells is 0.99 and the probability the firm will gain 1.5 million from the ten wells is 1 minus the CDF of 4 successful wells.
What is the probability the firm will lose or gain money1.
The expected profit from each well is $1 million - $60,000 = $940,000. The expected profit from all ten wells is $940,000 * 10 = $9,400,000. The probability of losing money on all ten wells is 1 - (0.1)^10 = 0.99
2.
To calculate the probability of gaining $1.5 million or more, we can use the cumulative distribution function (CDF) of the binomial distribution, which models the number of successful wells out of ten. The CDF gives the probability of getting a certain number of successful wells or fewer. To get the probability of getting more than a certain number of successful wells, we subtract the CDF of that number from 1. To get the probability of getting 2 or more successful wells, we subtract the CDF of 1 from 1, and so on. To get the probability of getting 5 or more successful wells, we subtract the CDF of 4 from 1, and so on. To get the probability of getting $1.5 million or more, we need to find the probability of getting 5 or more successful wells, since 5 wells at $1 million each give $5 million. The CDF of 4 successful wells can be found using statistical software or by using tables or approximations. The final answer is 1 minus the CDF of 4 successful wells.
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40000=6(6)^x What is the value of X
Step-by-step explanation:
Given:
Present value =₹ 40000
Interest rate =6% per annum
Time =6 months
To find the amount we have the formula,
Amount (A)=P(1+(r/100))n
where P is present value, r is rate of interest, n is time in years
Now substituting the values in above formula we get,
∴A=40000(1+(6/4)/100) ²
⇒A=40000(1+3/200)²
⇒A=40000(203/200)²
⇒A=40000(203/200) ²
⇒A=203×203
⇒A=₹ 41209
∴ Compound interest =A–P
=41209–40000=₹ 1209
Serina bought 300 shares of stock at 24 1/2. She had to pay a 1% commission to her broker. What was the total price of the stock?
[tex]\stackrel{mixed}{24\frac{1}{2}}\implies \cfrac{24\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{49}{2}} \\\\[-0.35em] ~\dotfill[/tex]
[tex]300\cdot 24\frac{1}{2}\implies 300\cdot \cfrac{49}{2}\implies 7350\qquad \textit{now let's add the 1\% for the broker} \\\\[-0.35em] ~\dotfill\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{\textit{\LARGE a}\% of \textit{\LARGE b}}\\ \cline{1-1} \\ \left( \cfrac{\textit{\LARGE a}}{100} \right)\cdot \textit{\LARGE b} \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{1\% of 7350}}{\left( \cfrac{1}{100} \right)7350}\implies 73.5~\hfill \stackrel{7350~~ + ~~73.5}{\text{\LARGE 7423.5}}[/tex]
Each side of the base of a square pyramid measures 8 inches. The height of each lateral face of the pyramid is also 8 inches.
What is the surface area of the pyramid?
Enter your answer in the box.
in²
Answer:
192 in²
Step-by-step explanation:
The surface area of a square pyramid can be calculated by summing up the area of its base and four lateral faces.
The base area of the square pyramid is 8 x 8 = 64 in².
The area of each lateral face is a triangle with base 8 in and height 8 in, so its area is 1/2 x 8 x 8 = 32 in².
So the total surface area of the pyramid is 64 + 4 x 32 = 192 in².
192in²
Step-by-step explanation:
Each side of the base of a square pyramid measures 8 inches.The height of each lateral face of the pyramid is also inches.
What is the surface area of the pyramid?
192in²
Please all parts of this question:
The result of the definite integral by substitution is 214440.6.
How to apply substitution on definite integrals
In this problem we find the case of a definite integral, that is, an integral with definite limits, that must be simplified by algebraic substitution to be solved quicker. First, write the substitution formula and its derivative:
u = 6 · x - 7
du = 6 dx
f(u) = u⁴
Second, define the new limits of the definite integral:
a = 6 · 2 - 7
a = 5
b = 6 · 5 - 7
b = 23
Third, simplify the integral by means of the substitution formula:
[tex]\frac {1}{6}\int\limits^{23}_{5} {u^{4}} \, du[/tex]
Fourth, integrate the expression:
[tex]I = \frac{1}{30} \cdot u^{5}\left|_{5}^{23}[/tex]
I = (1 / 30) · (23⁵ - 5⁵)
I = 214440.6
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Marcy completed a science assignment and got 16 out of 20 questions
correct. Her assignment last week had 16 out of 18 questions correct. Kai
says that since she got 16 questions correct on both assignments, she should
be given the same grade on the assignments.
What would be the best way to determine if Kai's reasoning is correct or not?
Is Kai correct or incorrect? Justify your thinking.
What is the solution for the system of linear equations shown in the graph? a coordinate grid with one line that passes through the points 0 comma 1 and 1 comma 2 and another line that passes through the points 0 comma 0 and 1 comma negative 3 three fourths comma negative one fourth three halves comma negative one half three halves comma negative three halves negative one fourth comma three fourths
The solution for the system of equations is negative one fourth comma three fourths.
What are Linear Equations?Linear equations are equation involving one or more expressions including variables and constants and the variables are having no exponents or the exponent of the variable is 1.
Slope intercept form of a line is y = mx + c, where m is the slope and c is the y intercept.
Given two lines on a graph.
Let y = m₁x + c₁ and y = m₂x + c₂ are the equations of two lines.
One line passes through (0, 1) and (1, 2).
m₁ = (2 - 1) / (1 - 0) = 1
Substituting m₁ = 1 and a point (x, y) = (0, 1) in y = m₁x + c₁,
1 = c₁
Equation of one line is y = x + 1.
Other line passes through (0, 0) and (1, -3).
m₂ = (-3 - 0) / (1 - 0) = -3
Substituting m₂ = 1 and a point (x, y) = (0, 0) in y = m₂x + c₂,
0 = c₂
Equation of second line is y = -3x
Solving both the equations y = x + 1 and y = -3x,
-3x = x + 1
-4x = 1
x = -1/4
y = -3x = 3/4
Solution is (-1/4, 3/4).
Hence the solution of the system of equations is the point (-1/4, 3/4).
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Jill was remodeling her bedroom she bought 4 curtains for 37 each and comforter for 68.25. what was the total amount jill paid for the curtains and comforter?
The total amount Jill paid for the curtains and comforter is, 216.25.
What is Addition?The process of combining two or more numbers is called the Addition. The 4 main properties of addition are commutative, associative, distributive, and additive identity.
We have to given that;
Jill was remodeling her bedroom she bought 4 curtains for 37 each and comforter for 68.25.
Now, The cost of 4 curtains = 4 × 37
= 148
And, The cost of comforter = 68.25
Thus, The total amount jill paid for the curtains and comforter is,
⇒ 148 + 68.25
⇒ 216.25
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THE GRAPH OF FUNCTION Y = |3X - 9| HAS ITS WEDGE AT
The vertex of the absolute value function y = |3x - 9| is at (3, 0).
Where is the wedge of the function?
The actual name is the vertex, and to find the vertex we first need to find the value of x such that the argument of the absolute value part becomes zero, then we need to solve:
3x - 9 = 0
3x = 9
x = 9/3 = 3
x = 3
Now we can evaluate the absolute value function there:
y = |3*3 - 9|
y = 0
The vertex is at (3, 0).
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One alloy containing 32% aluminum and another containing 44% aluminum how many pounds of each alloy must he use to make 54 pounds of a third alloy containing 36% aluminum
n. Compare the net earnings (money made after expenses) for the three
movies
Answer:
[tex]x2 + 4x + 4 = 0 [/tex]
How much would you need to deposit in an account each month in order to have $30,000 in the account in 6 years? Assume the account earns 2% interest.
Answer:
30,000 ÷6=
5,000 a month
which could be the name of a plane
Answer:
M
Step-by-step explanation:
UNDER 5 min!!!
PLS ANSWER QUICK CORRECTLY!!!! help ya girl ouu!
what is the period of the sinusoidal function? enter your answer in the box. 
Answer:
what is the period of the sinusoidal function?
4
Step-by-step explanation:
You're welcome.
28. MP NUMBER SENSE Five friends share the cost of a dinner equally. Write an expression that represents the cost (in dollars) per person.
Answer: X divided by 5
X/5
Step-by-step explanation:
if x is the cost of the dinner each person pays x divided by 5 because there are 5 people
Question 2 (Multiple Choice Worth 2 points) (08.04 LC) What is the volume of the rectangular prism? O 29 ft³ O 80 ft³ O 100 ft³ 125 ft³ = | cubic ft
What is the 5th term of the geometric sequence described by an = 5(1.5)-1?
The 5th term of the geometric sequence described by an = 5(1.5)-1 is 6.5
What is a geometric sequence?Geometric progression, which is also called geometric sequence, is defined as a sequence with non-zero numbers where all of the terms after the first is determined by multiplying the previous one by a fixed, non-zero number that is termed the common ratio.
The general formula for a geometric sequence is given as;
an = ar^n-1
From the information given, we have that the nth term of the geometric sequence is expressed with the equation;
an = 5(1.5)-1
expand the bracket
an = 7.5 - 1
Now, subtract the value, we get;
an = 6.5
Hence, the value of the term of the geometric sequence is 6.5
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Given that A =( 2 -1 3
0 1 0
3 7 5)
and B =( 2 0 1
-1 3 2
2 0 3)
show that ( A+B)^ 2
=
A^2 +2AB+B2
The formula holds true for matrices A and B.
How did we arrive at the assertion?The formula (A + B)^2 = A^2 + 2AB + B^2 holds true for all matrices A and B that are of the same size and can be added and multiplied. To prove this, we calculate the left-hand side and the right-hand side of the equation:
(A + B)^2 = (A + B)(A + B) = A^2 + AB + BA + B^2
Since AB = BA, we can simplify the equation to:
(A + B)^2 = A^2 + 2AB + B^2
So, the formula holds true for matrices A and B.
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a potter mixes 6 pounds of pottery plaster with 2quarts of water. Select all the statements that are true.
All the correct statements are,
a) 3 lb plaster / 1 qt water is a unit rate for the mis.
c) Using the same rate, the potter mixes 9 pounds of plaster with 3 quarts of water.
e) Using the same rate, the potter mixes 12 pounds of plaster with 4 quarts of water.
What is mean by Ratio?A ratio indicates how many times one number contain in another number. The ratio of two number is written as x : y, which is equivalent to x/y. Where, x and y are individual amount of two quantities. And, Total quantity gives after combine as x + y.
We have to given that;
A potter mixes 6 pounds of pottery plaster with 2quarts of water.
Now, We get;
The unit rate for the mis = 6/2
= 3/1
Thus, 3 lb plaster / 1 qt water is a unit rate for the mis.
And, Using the same rate, the potter mixes 9 pounds of plaster with 3 quarts of water.
Using the same rate, the potter mixes 12 pounds of plaster with 4 quarts of water.
Thus, All the correct statements are,
a) 3 lb plaster / 1 qt water is a unit rate for the mis.
c) Using the same rate, the potter mixes 9 pounds of plaster with 3 quarts of water.
e) Using the same rate, the potter mixes 12 pounds of plaster with 4 quarts of water.
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The complete question is shown in figure.
It has been
established that, the selling
price (S), cost price (C) and profit (P) on
each pack of facial towel produced and
sold by a firm are such that, S varies
directly as the square root of C and
inversely as the cube of P. Given that C is
to decrease by 2% and P is to increase by
1%, determine the percentage change in S,
leaving your answer to the nearest whole
number.
Based on the proportionate equation of the selling price (S), cost price (C), and profit (P), the change in S caused by decrease of C and increase of P is decrease by 4%
Based on the given information, we know that:
S ∝ √C --> S directly varies as the square root of C
S ∝ 1/P³ --> S inversely as the cube of P
We can combine both relationships to make a proportionate equation:
S = √C / P³
We know from the case that:
ΔC = - 2%
ΔP = 1%
Then:
C' = C + ΔC
C' = C + (-0.02)P
C' = 0.98C
P' = P + ΔP
P' = P + (0.01)P
P' = 1.01P
S' = √C' / P'³
S' = √(0.98C) / (1.01P)³
S' = 0.96 √C/P³
S' = 0.96S
ΔS = S' - S
ΔS = 0.96S - S
ΔS = - 4%
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HELP!!! What is the effect on the graph of f(x) = 1/x when it is transformed to g(x) = 1/x + 13?
A
The graph of the function g(x) = 1/x + 13 is a transformation of the graph of f(x) = 1/x. The transformation that has been applied is a vertical shift of 13 units upward. This means that every point on the graph of f(x) has been moved upward by 13 units along the y-axis, resulting in the new graph of g(x). In other words, the graph of g(x) will be parallel to the graph of f(x) but shifted upward by 13 units.
Examine the triangle below, find mZA =
the nearest degree)
and mZC =
mZB
(round to
The sum of the angles of the triangle below are angle A = 34.91°, angle B = 86.41°, and angle C = 58.68°.
What is triangle sum theorem?According to the triangle sum theorem, a triangle's internal angles can be added up to 180 degrees. The triangle sum theorem, often referred to as the angle sum theorem of the triangle, states that the total of the measures of a triangle's internal angles in a Euclidean space adds up to 180 degrees, whether the triangle is acute, obtuse, or right.
Let a = 8, b = 14 and c = 12 for the given triangle.
Then,
cos (A) = (b² + c² − a²) / 2bc
cos (A) = (14² + 12² - 8²)/ (2)(14)(12)
cos (A) = (196 + 144 - 64)/ 336
cos (A) = 0.82
A = cos⁻¹ (0.82)
A = 34.91°
Similarly, for angle B.
Cos (B) = (c² + a² − b²)/2ca
Cos (B) = (12² + 8² - 14²)/ (2)(12)(8)
A = cos⁻¹ (0.0625)
B = 86.41°
The sum of all the angles of a triangle is 180:
A + B + C = 180°
34.91° + 86.41° + C = 180°
C = 58.68°
Hence, the sum of the angles of the triangle below are angle A = 34.91°, angle B = 86.41°, and angle C = 58.68°.
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Five times the difference of a number and 5.
Answer: this is like multiplying. this is way to easy.the answer is 25.
Step-by-step explanation:
the answer is 25 bc its just saying
whats 5 times 5 which the answer is 25 right ?
The expression 10,000(0.90)t represents the population of a town t years after
2000.
The population of the town decreases by blank each year.
Enter the rate of decay
Using the pencil, plot the point
Step-by-step explanation:
x = 2 3/4
y = -1 1/4
I think this is the answer
It took kelly 2 4/7 hours to fly from City A to City B then it took her another 3 5/6 hours to fly from City B to City C. Kelly flew a total of ____ hours.
Kelly flew a total of [tex]6\frac{17}{42}[/tex] hours..
What is Fraction?A fraction represents a part of a whole.
Given that Kelly took 2 4/7 hours to fly from City A to City B
Again Kelly took another 3 5/6 hours to fly from City B to City C.
We have to find the total time taken by Kelly to fly from City A to city B
To find this we have to add the fractions.
[tex]2\frac{4}{7} +3\frac{5}{6}[/tex]
Convert mixed fractions to proper fraction and solve.
18/7 + 23/6
The LCM of 7 and 6 is 42
108+161/42
269/42
[tex]6\frac{17}{42}[/tex]
Hence, Kelly flew a total of [tex]6\frac{17}{42}[/tex] hours.
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Which inequality is true when the value of g is -7
The inequality nature is discussed below.
What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.Given is a inequality.
Assume the inequality to be -
ax + b > g
Now, if for the value of g = - 7, the expression - (ax + b) is greater than g {for any specific value of x} then the inequality is said to be true.
Therefore, the inequality nature is discussed above.
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Answer:
Step-by-step explanation:
...........