Answer:
$1,045,000,000 = $1.045 billion.
Step-by-step explanation:
Pittman–Robertson Act
The Pittman–Robertson Act (Federal Aid in Wildlife Restoration Act of 1937) requires an 11% excise tax to be paid on the sale of firearms, ammunition, and archery equipment to be used by state governments to fund wildlife restoration.
Given information:
Number of firearms sold during 2020 = 19,000,000Average selling price of a firearm = $500Rate of tax = 11%The money raised for conservation can be calculated by finding 11% of the number of firearms sold multiplied by the average selling price.
[tex]\begin{aligned}\textsf{Money raised}&=11\% \textsf{ of }19,000,000 \times \$500\\\\& = \dfrac{11}{100} \times 19,000,000 \times 500\\\\& = \dfrac{11\times 19,000,000 \times 500}{100} \\\\& = \dfrac{104,500,000,000}{100} \\\\& = 1,045,000,000\end{aligned}[/tex]
Therefore, the total amount of money raised was $1,045,000,000 ($1.045 billion).
Answer:
$1,045,000,000.Step-by-step explanation:
To calculate the amount of money raised for conservation from the sale of firearms during 2020, we'll follow these steps:
Step 1: Calculate the total revenue generated from firearm sales.
Total revenue = Number of firearms sold * Price per firearm
Total revenue = 19,000,000 * $500
Total revenue = $9,500,000,000
Step 2: Calculate the amount of excise tax collected.
Excise tax = Total revenue * Excise tax rate
Excise tax = $9,500,000,000 * 0.11
Excise tax = $1,045,000,000
Therefore, the amount of money raised for conservation from the sale of firearms during 2020, based on the given information, is $1,045,000,000.
geometry HELLLLLP Noooooow WILL GIVE 100 points.
Based on the vertical angles theorem, the step 2 was completed in the proof incorrectly by Latonya.
What is the Vertical Angles Theorem?When two straight lines intersect to form a pair of two angles that share the same vertex but are non-adjacent to each other, both angles are called vertical angles, and based on the vertical angles theorem, they are congruent to each other.
In the the diagram given, angles JKN and IKL are vertical angles, and they are congruent to each other based on the vertical angles theorem.
Therefore, based on the vertical angles theorem, the step 2 was completed in the proof incorrectly by Latonya.
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PLS HELP ME
Write an addition expression represented by the number line. Then find the sum.
The sum of (-3) + (-1) is -4.
The addition expression (-3) + (-1) on a number line is : (-4).
Here, we have,
To represent the addition expression (-3) + (-1) on a number line,
we would start at -3 and move to the left by 1 unit.
Here's how we can explain it step by step:
Start at -3 on the number line.
Since we have a negative sign in front of both numbers, we will move to the left (in the negative direction) on the number line.
The first number, -3, indicates that we will start at -3 on the number line.
The second number, -1, indicates that we will move to the left by 1 unit from -3.
When we move to the left from -3 by 1 unit, we will reach -4 on the number line.
So, (-3) + (-1) represented on the number line means starting at -3 and moving to the left by 1 unit, resulting in -4.
The sum of (-3) + (-1) is -4.
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Graph y=2
please I need help
Answer:
I used desmos graphing calculator
Step-by-step explanation:
HELP MEEEEE ANYONE!!!
The equation of the line in slope intercept form is y = 1 / 6 x - 11
How to represent equation in slope intercept form?The equation of a line can be represented in a slope intercept form as follows:
y = mx + b
where
m = slopeb = y-interceptTherefore, the equation of the line is parallel to y = 1 / 6 x + 7 .
This means the equation of the line have the same slope with y = 1 / 6 x + 7 .
The equation passes through (12, -9).
Therefore, let's find b
y = 1 /6 x + b
-9 = 1 / 6 (12) + b
b = -9 - 2
b = - 11
Therefore, the equation of the line in slope intercept form is y = 1 / 6 x - 11
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Find the area of a cement walkway of width x meters around a 50m by 25m pool.
The area of a rectangular cement walkway of width x meters around a 50m by 25m pool is 4x²+150x sq. meters.
What is an area of a rectangle?Rectangle area in geometry refers to the area that a rectangle occupies on a two-dimensional plane. A rectangle is a form of a quadrilateral, a two-dimensional object with four sides and four vertices. The four angles of the rectangle are all perfectly right angles or 90 degrees. The opposing sides of the rectangle are equal and parallel.
Area of Rectangle = Length × Breadth
In the given question,
The width of the walkway is x meters.
Width of the pool= 25+2x meters
and the Length= 50+2x.
So the area of the walkway with the pool is
= (25+2x)+(50+2x)
= 1250+100x+50x+4x²
= 4x²+150x+1250 sq. m
Area of the pool= 50x25
= 1250 sq. m
Area of the walkway= 4x²+150x+1250-1250
= 4x²+150x sq. meters.
Hence, the answer is 4x²+150x sq. meters.
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Solve each equation.
1/3 ln x+ ln 2- ln 3=3
After solving the given equation 1/3lnx+ln 2- ln3=3, the value of
x = 3(In+3)/In.
What exactly is an equation?An equation is a mathematical statement made up of two expressions joined by an equal sign.An example of an equation is 3x - 5 = 16.After solving this equation, we obtain the value of the variable x as x = 7.So,
Given the equation: 1/3lnx+ln 2- ln3=3Then,
1/3lnx+ln 2- ln3=3Inx/3 + 2ln - 3ln =3Inx/3 - n = 3x = 3(In+3)/InTherefore, after solving the given equation 1/3lnx+ln 2- ln3=3, the value of x = 3(In+3)/In.
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What is the least sum of money that can be made up of an exact number of 25¢ pieces or 50¢ pieces?
The least sum of money can be made up of an exact number of 25 pieces or 50 pieces is 50.
What are mathematical operations?A mathematical function called an operation, also known as an "operand" or "argument," transforms zero or more input values into a precisely defined output value.The quantity of operands affects the operation's arity.The operations that are most frequently studied are unary operations (i.e., operations of arity 1), such as additive inverse and multiplicative inverse, and binary operations (i.e., operations of arity 2), such as addition and multiplication.An operation of arity zero also referred to as a nullary operation, is a constant.The mixed product is an illustration of an operation of arity 3, also referred to as a ternary operation.So, the least sum:
Take the LCM of 25 and 50: 5 × 5 × 2 = 50LCM of 25 and 50 is 50.Therefore, the least sum of money can be made up of an exact number of 25 pieces or 50 pieces is 50.
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Todd made feathery cat toys to sell at a craft fair. he made 198 cat toys, and each toy used 6 feathers. todd worked out that he used 718 feathers to make the cat toys. does that sound about right?
When Todd says that he used 718 feathers to make the cat toys, it does not sound right.
To solve this problem, we have to state the equations using the information of the problem
Information about the problem:
No. of toys= 198No. feather per toy= 6 feather/ toyTodd's calculated = 718 feathers in totalCalculating how many feathers Todd should use to made 198 cat toys:
Total feathers = No. of toys * No. feather per toy
Total feathers = 198 toys * 6 feather/ toy
Total feathers = 1188 feathers
With the calculate we can confirm that Todd's calculate is not right because:
Total feathers > Todd's calculated
1188 feathers > 718 feathers
What are algebraic operations?They are the set of numbers and symbols that are related by the different mathematical operation signs such as addition, subtraction, multiplication, division among others.
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Arturo lives in colorado, which has a state income tax rate of 4.63%. he earns $1,345 biweekly. how much state income tax is withheld from each of his paychecks?
If Arturo lives in colorado, which has a state income tax rate of 4.63% and he earns $1,345 biweekly, then the amount of state income tax withheld from each of his paychecks is equal to $62.27.
The state income tax withheld from each of his paychecks can be determined by the percentage formula;
P% × x = y
Here,
P% is the state income tax rate
x is the dollars earned biweekly
y = state income tax withheld from each of his paychecks
As the state income tax rate is equal to 4.63% and the amount earned biweekly is equal to $1345, therefore;
P% × x = y
4.63% × 1345 = y
4.63% can be converted into decimal form as follows,
4.63% = 4.63 / 100 = 0.0463
Therefore,
0.0463 × 1345 = y
y = 62.27
Hence, the state income tax withheld from each of his paychecks is calculated to be $62.27
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Use the properties of logarithms to simplify and solve each equation. Round to the nearest thousandth.
ln (2 x-1)²=7
The simplification of the given logarithmic functions ln (2x-1)² = 7 is 17.055.
What are called the logarithmic functions?The logarithm of a number is the exponent by which a fixed value referred as the base should always be raised to generate a certain number. For instance, because 1000 is 10 to the third power, a log of 1000 to base 10 is 3.
The y-intercept doesn't really exist.A vertical asymptote is x = 0. *Mention: An asymptote is a line that a graph moves as the absolute value of x and otherwise y increases.A logarithmic function does not have a horizontal asymptote.The x-intercept is one.The function is spreading across the domain.If the base is between 0 and 1, the function diminishes out across domain.Some properties of the logarithmic functions are defined as-
Quotient Rule: ㏒(A/B) = ㏒A - ㏒BProduct Rule : ㏒A + ㏒B = ㏒(AB)Power Rule: n㏒A = ㏒AⁿBase Rule = ㏒ₐb = ㏒ₓb/㏒ₓaExponent Rule = e∧lnx = xAs, for the stated log or ln function ln (2 x-1)²=7
Use the power rule on the left side of the equation.
2 ln (2 x-1) = 7
Simplifying the equation.
ln (2 x-1) = 7/2
ln (2 x-1) = 3.5
Using the exponential property of the log.
e∧[ln (2 x-1)] = e∧3.5
2x-1 = 33.11
2x = 33.11 + 1
2x = 34.11
x = 34.11/2
x = 17.055
Therefore, the value of the x for the stated logarithmic functions ln (2x-1)² = 7 is calculated as 17.055.
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5. A shark is swimming 60 feet below the surface of
the ocean. There is a fish that is 25 feet deeper
in the water. Use the expression (-60) + (-25) to
describe the fish's location relative to the surface
of the ocean.
Answer:
-85
Step-by-step explanation:
(-60) + (-25) = (-85)
Answer:
Step-by-step explanation:
the fish is 85 feet bellow the surface
explanation 60+25 is 85 so therefor -60-25 would be -85
On a fishing trip, you catch two fish. The weight of the first fish is 1.2 pound. The second fish weighs at least 0.5 pound more than the first fish. Write an inequality that represents the possible weights w (in pounds) of the second fish.
Answer: 1.7
Step-by-step explanation:
NEED HELP FAST ALGEBRA2
Answer:
A. (0, 4), (4, ∞)
B. (-∞, -4), (4, ∞)
C. (-∞, 0), (0, ∞)
Step-by-step explanation:
1
p(x) = -------- ; m(x) = x² - 16
√x
a.
p(x)
-------
m(x)
1 1
-------- --------------
√x √x
------------------------------ = ---------------------
x² - 16 (x + 4)(x - 4)
Domain: (0, 4), (4, ∞)
----------------------------------------------------------------------------------------------------------
B.
P(m(x))
1 1 1
------- = ----------------- = ----------------------
√x √(x² - 16) √(x - 4)(x + 4)
Domain: (-∞, -4), (4, ∞)
----------------------------------------------------------------------------------------------------------------------------
C.
M(p(x))
x² - 16
1 1
( ------- )² - 16 = ------- - 16
√x x
Domain: (-∞, 0), (0, ∞)
----------------------------------------------------------------------------------------------------------------------------
I hope this helps!
write a decimal less than 1 that has a prime number in the tenths place,a number less than 5 in the hundreaths place and a number that is the product of 2 and 4 in the thousandths place
The decimal number will be 0.248.
What exactly are decimal numbers?Decimal refers to the base-10 number system, arguably the most popular number system.The decimal number system has ten single-digit numbers: 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9. The number that comes after nine is 10. 20 comes after 19, and so on.The three different types of decimals are recurring (repeating or non-terminating, like) decimals, decimal fractions, and decimals (a.k.a. converting a decimal into a fraction whose denominator is a power of ten).So, decimal number less than 1:
Prime number in the tenth place: 0.2xxA number less than 5 in the hundredths place: 0.24xA number that is the product of 2 and 4 in the thousandth place: 0.248Therefore, the decimal number will be 0.248.
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Help ASAP!! DOUBLE POINTS!
Answer: 8c + 40
Step-by-step explanation: i did this on OW
What combination of items on the list could Darla buy to spend as close to $15 as possible with tax without going over? Justify your solution.
Darla can spend the greatest total cost of groceries in order to spend as close to $15 as possible is approximately $14.20.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
Let the cost of the groceries be represented as "c", then we have;
Cost price + VAT = c + (5% of c)
In order to get the cost, c, that make him spend as close to $15. Since the tax is 5% of the cost price, then the cost price will be close to $15.
Let c = $14.20, then;
So that,
c + (5% of c) = 14.20 + (5% of 14.20)
= 14.20 + 0.71
= $14.91
Therefore, the greatest total cost of groceries she can spend in order to spend as close to $15 as possible is approximately $14.20.
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how did the graph change from y = x2 to y = (x+3)2
The function y = (x + 3)² is the result of translating the function y = x² 3 units in the -x direction.
How to modify a function by using transformation rules
In this question we have a function of the form y = f(x), which is modified by transformation rules. The statement defines the original function as y = x² and we see that the resulting expression is y = (x + 3)². By direct observation, we that the latter function is the consequence of using an horizontal translation of the form:
g(x) = f(x - k), where k < 0.
This transformation rule indicates a horizontal translation in the - x direction. To be specific, a horizontal translation 3 units in the -x direction. Graphically specific, the graph of f(x) is moved 3 units in the - x direction.
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Suppose that a loan of $5500 is given at an interest rate of %6 compounded each year. Assume that no payments are made on the loan.
Answer:
Step-by-step explanation:
The formula for annual compound interest, including principal sum, is:
A = P (1 + r/n) (nt)
where
A = the future value of the investment/loan, including interest
P = the principal investment amount (the initial deposit or loan amount)
r = the annual interest rate (decimal)
n = the number of times that interest is compounded per year
t = the number of years the money is invested or borrowed for
here
we have to found semianually
P= 2000
r= 11% =0.11
n=2 .... for semiannual
t =5
A = 2000( 1 +0.11 /2 )(2*5)
= 2000(1 +0.055)10
= 2000(1.055)10
= 2000(1.708)
=3416
Use this method to write each equation in logarithmic form. Show your work.
(3⁴=81)
The equation can be expressed in Logarithmic form as log₃ 81 = 4
logarithmic form is a method to write equations when solving for a variable in an exponent.
Any exponential equation can be written as a logarithm. The logarithmic form is used to calculate an exponent of an equation.
The logarithmic form is a rearrangement of the exponential form. Exponential form: aᵇ = c
Logarithmic form: logₐ c = b
Comparing this with our equation, a=x, b=4, c=y
Therefore, we get the logarithmic form as log₃ 81 = 4
Hence, the Conversion from exponential form to logarithmic form gives the final answer as log₃ 81 = 4
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Write each equation in exponential form.
log₂128=7
We need to know about logarithm to solve this problem. The exponential form of the logarithm is [tex]2^{7} =128[/tex].
Logarithm is the exponent that is raised to a base to get a certain number.There are a few rules of logarithm, log a+ log b can be written as log ab, log a -log b can be written as log a/log b, when the number whose logarithm is being calculated is raised to a power, then the power can be multiplied to the log itself. Logarithm when written as log without base mentioned, the base is 10, the log of a number that is same as the base is always 1, the log of 1 is always 0 because a nonzero number raised to 0 is always 1. To write a logarithm in exponential form we have to raise the value of the logarithm to the base which is equal to the number whose logarithm we found.
[tex]log_{2} 128=7[/tex] can be written as [tex]2^{7} =128[/tex]
Therefore we found the exponential form of the logarithm to be [tex]2^{7} =128[/tex]
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Ms. Hamby gave a quiz. Two students' work and the answer key are shown.
Answer Key
1. -0.8
2. -0.95
Student A
1. -(3)
2.-19
20
Student B
1. (-)
2.
19
-20
Answer:Student A
Step-by-step explanation:
1. -(3)
2.-19
20
x/3 + 10 = 15
solve for x and show steps
Answer:
15
Step-by-step explanation:
First mutiply both sides with 3
(x/3x3)+(10x3)=15x3
x+30=45
the add -30
x+30-30+45=30= 15
which pairs of figures below are congruent
Answer:
In the first image, the triangles are congruent because each side measures equally to the other. The circles are not because they are not the same size. The big circle is 4 by 4 squaes and the small circle is 2 by 2.
In the second image the first image is congruent, and in the second image the figures are not congruent because the image to the right is thinner than the left.
Step-by-step explanation:
Hope it helps! =D
Answer: Ok for the first screen shot (the one with the triangles) its yes then the circles no
the upside down L 's yes
and the quadrilaterals no
Step-by-step explanation: congruent means the same or identical.
Hope it helped :D
Expand each logarithm.
log a²b³ / c⁴
The answer to the present question is: log(a²b³/c⁴) = 2log(a) + 3log(b) - 4log(c)
For solving this kind of question, we are going to use these three identities:
log(x*y) = log(x) + log(y) ....(1)
log(x/y) = log(x) - log(y) ....(2)
log(xⁿ) = nlog(x) ....(3)
So, using (2), log(a²b³/c⁴) may be written as: log(a²b³) - log(c⁴) ....(4)
Again, using (1), log(a²b³) are often written as: log(a²) + log(b³) ....(5)
Now, Putting equation (4) in equation (3), we get:
log(a²) + log(b³) - log(c⁴) ....(5)
Now, using (3), expanding all the terms, we get:
log(a²) = 2log(a)log(b³) = 3log(b)log(c⁴) = 4log(c)
Putting of these in equation 5, we get:
2log(a) + 3log(b) - 4log(c)
Therefore, log(a²b³/c⁴) = 2log(a) +3log(b) - 4log(c)
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The measure of angle R is 6 less than 5 times its complement. What is the measure of the complement of angle R?
a. 16
b. 74
c. 45
d. 90
Answer:
a
Step-by-step explanation:
the complement of R is 90 - R , then
R = 5(90 - R) - 6
R = 450 - 5R - 6
R = 444 - 5R ( add 5R to both sides )
6R = 444 ( divide both sides by 6 )
R = 74°
complement = 90° - 74° = 16°
Option(a) 16 is correct option, the measure of the complement of R is 16
What is the complement of an angle?Two angles are complementary if their sum is 90°.
Let x be an angle and y be its complement of x then x + y = 90°.
Let the measure of the complement of R be x
Given that the measure of angle R is 6 less than 5 times its complement
Then 5 times the complement of R = 5x
And 6 less than 5 times the complement of R = 5x-6
Thus, R = 5x -6
∴ R + complement of R = 90°
⇒5x-6 + x = 90
⇒6x = 96
⇒x = 96/6 = 16
Therefore, the measure of the complement of angle R is 16 and option (a) is correct option.
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Lily is sitting 40 feet away from a beautiful waterfall that is 1,000 feet high. What is the angle of inclination from Lily's location to the top of the waterfall?
I think its 87. 6 ¯\_(ツ)_/¯
If Lily is sitting 40 feet away from a beautiful waterfall that is 1,000 feet high. The angle of inclination from Lily's location to the top of the waterfall is: 87.7°.
Angle of inclinationGiven data or information:
Feet away=40 feet away
Feet high=1,000 feet high
Now let find or determine the angle of inclination rom Lily's location to the top of the waterfall
Hence,
tanФ=1,000/40
Ф=tan^-1 (1,000/40)
Ф=87.70°
Therefore If Lily is sitting 40 feet away from a beautiful waterfall that is 1,000 feet high. The angle of inclination from Lily's location to the top of the waterfall is: 87.7°.
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1.
(01.06A LC)
Which of the following is a rational number? (5 points)
square root of 15, square root of 16, square root of 17, square root of 18
square root of 15
square root of 16
square root of 17
square root of 18
The correct option is B that is square root of 16 i.e., 4 is a rational number.
What is a rational number ?
If p and q are any two numbers where q is not equal to 0, then the fraction in form p/q is called as rational number.
Let's check which of the given numbers are rational numbers.
A.
The number is √15.
= 3.8729
As , the number has non - terminating decimal , so , √15 is an irrational number.
B.
√16
= 4
As , this number is an integer and we can write it in form of fraction as [tex]\frac{4}{1}[/tex] , so , √16 is a rational number.
C.
√17
= 4.12310
As , the number has non - terminating decimal , so , √17 is an irrational number.
D.
√18
= 4.2426
As , the number has non - terminating decimal , so , √18 is an irrational number.
Therefore , the correct option is B that is square root of 16 i.e., 4 is a rational number.
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what is the least common denominator for rational expression?
[tex] \large \bf \implies{(x - 6)^{2}(x + 1) }[/tex]
Step-by-step explanation:[tex] \sf \longrightarrow\frac{1}{ {x}^{2} - 5x - 6} \: and \: \frac{1}{ {x}^{2} - 12 + 36 } \\ [/tex]
[tex] \sf \longrightarrow \frac{1}{ {x}^{2} - 5x - 6 } = \frac{1}{(x - 6)(x + 1)} \\ \\ \sf \: and \\ \\ \sf \longrightarrow \frac{1}{ {x}^{2} - 12x + 36 } = \frac{1}{(x - 6)(x - 6)} [/tex]
[tex]\sf \longrightarrow \frac{1}{(x - 6) ^{2}(x + 1) } \\ [/tex]Therefore, the least common denominator is (x - 6)²(x+1).Additional information:# How to solve middle splitting term ?Step 1) : First of all notice that term is in standard form.
For eg :- 6x + 2x² + 5 = 2x² + 7x + 5
Step 2) : Multiply with first and last term.
2 × 5 = 10
Step 3) : Next we have multiply got the answer 10 and subtract or add we have got the answer 7.
1 × 10 = 10 and 10 - 1 = 9 or 10 + 1 = 112 × 5 = 10 and 5 - 2 = 3 or 5 + 2 = 7Now, we have got the term. We have multiply 2 and 5 got the answer 10 and we have add got the answer 7.
Step 4) : Attach the factor into the removal of 7x
2x² + 5x + 2x + 5
Step 5) : Simplify it
2x² + 5x + 2x + 5x(2x + 5) + 1(2x + 5)(2x + 5)( x + 1)Step 6) : We have got the answer
[tex]\sf \longrightarrow(2x + 5)(x + 1)[/tex]
Jackie babysat 10 1/2 hours over a 3 day period. if she babysat the same amount each day, how many hours did she babysit each day?
Answer:
3.5 hours
Step-by-step explanation:
divide 10.5 by 3 since there is 3 days to get 3.5
Let me know if this was helpful
100pts When you are getting dressed, you put your socks on first and then your shoes on second. But to undo this, you take your shoes off first and your socks off second. Why do you have to reverse the order? Use this scenario to help you explain why it is helpful to work backward when solving equations.