Answer:
The answer is,
\(p(x) = \sqrt[3]{2-x}\)
Step-by-step explanation:
10g of Copper reacts with 5g of Sulfur
How much Sulfur is needed to react with 20g of Copper?
Answer:
10g of Sulfur reacted with 20g of Cu
Step-by-step explanation:
10g of Cu = 5g of Sulfur
20g of Cu = x Sulfur
You can cross multiply or just flip the grams on the left to
20g ÷ 10g × 5
=20/10 = 2
2× 5 = 10g
You are paid $11.75/hr. You work 40 hr/wk. Your deductions are FICA (7.65%), Federal tax withholding (10.75%), and state tax withholding (7.5%)
2.If you are able to work 20 hours of overtime the next month and are paid 1.5 times your regular rate, how does this change your budget for that month?
Compared to your regular wage without overtime, this would push your monthly budget up by $607.63.
What does a budget mean?In a budget, projected expenses are stated together with suggestions for how to fund them. A budget can show a surplus of resources for future use or a deficit where expenses are greater than income or other resources.
What are the three different sorts of budgets?Surplus Budget, Balanced Budget, and Deficit Budget are 3 types of annual governmental budgets based on estimation. A balanced budget is one in which the revenues are larger than the expenses or equal to them. In the above link, you can read about the Highlights of the Union Budget for UPSC.
Let's calculate the regular earnings for 40 hours of work first:
Regular earnings = $11.75 x 40 hours = $470
Next, let's calculate the overtime earnings:
Overtime rate = $11.75 x 1.5 = $17.63
Overtime earnings = $17.63 x 20 hours = $352.60
Now let's add the regular earnings and overtime earnings to get the total gross pay for the month:
Total gross pay = $470 + $352.60 = $822.60
Now let's calculate the deductions:
FICA = $822.60 x 7.65% = $63.17
Federal tax withholding = $822.60 x 10.75% = $89.11
State tax withholding = $822.60 x 7.5% = $61.69
Total deductions = $63.17 + $89.11 + $61.69 = $214.97
So, the net pay for the month (total gross pay minus total deductions) would be:
Net pay = $822.60 - $214.97 = $607.63
Therefore, working 20 hours of overtime would increase your budget by $607.63.
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To pay for a home improvement project that totals $20,000, a homeowner is choosing between two different credit card loans with an interest rate of 9%. The first credit card compounds interest quarterly, while the second credit card compounds monthly. The homeowner plans to pay off the loan in 10 years.
Part A: Determine the total value of the loan with the quarterly compounded interest. Show all work and round your answer to the nearest hundredth. (4 points)
Part B: Determine the total value of the loan with the monthly compounded interest. Show all work and round your answer to the nearest hundredth. (4 points)
Part C: What is the difference between the total interest accrued on each loan? Explain your answer in complete sentences. (2 points)
Please only responded if you know how to do it, will give the brainiest to however answers it correctly
The total value of the loan with quarterly compounded interest is approximately $45,288.38, while the total value of the loan with monthly compounded interest is approximately $45,634.84. The difference in total interest accrued is approximately $346.46.
Part A: To determine the total value of the loan with quarterly compounded interest, we can use the formula for compound interest:
A = P(1 + r/n)^(nt),
where:
A is the total value of the loan,
P is the principal amount (initial loan amount),
r is the interest rate (in decimal form),
n is the number of times interest is compounded per year,
and t is the number of years.
Given:
P = $20,000,
r = 9% or 0.09,
n = 4 (quarterly compounding),
t = 10 years.
Substituting the values into the formula, we have:
A = 20000(1 + 0.09/4)^(4*10).
Calculating this value, we find:
A ≈ $45,288.38.
Therefore, the total value of the loan with quarterly compounded interest is approximately $45,288.38.
Part B: To determine the total value of the loan with monthly compounded interest, we follow the same formula but with a different value for n:
n = 12 (monthly compounding).
Substituting the values into the formula, we have:
A = 20000(1 + 0.09/12)^(12*10).
Calculating this value, we find:
A ≈ $45,634.84.
Therefore, the total value of the loan with monthly compounded interest is approximately $45,634.84.
Part C: The difference between the total interest accrued on each loan can be calculated by subtracting the principal amount from the total value of each loan.
For the loan with quarterly compounding:
Total interest = Total value - Principal
Total interest = $45,288.38 - $20,000
Total interest ≈ $25,288.38.
For the loan with monthly compounding:
Total interest = Total value - Principal
Total interest = $45,634.84 - $20,000
Total interest ≈ $25,634.84.
The difference between the total interest accrued on each loan is approximately $346.46.
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Without multiplying, how can you tell which product will be greater, 3 x 4 or 6 x 2?
Answer:
we can compare 4 x 3 and 2 x 6, equal to 12. So, we can see that both products are similar and neither is greater.
Step-by-step explanation:
We can use the commutative property of multiplication to see that 3 x 4 is the same as 4 x 3 and 6 x 2 is the same as 2 x 6. When multiplying two numbers, the order of the numbers does not affect the product. Therefore, we can compare 4 x 3 and 2 x 6, equal to 12. So, we can see that both products are similar and neither is greater.
NEED MORE EXPLANATION?
The commutative property of multiplication states that when multiplying two numbers, the order of the numbers does not affect the product. This means that 3 x 4 is the same as 4 x 3, and 6 x 2 is the same as 2 x 6. We can use this property to compare 4 x 3 and 2 x 6, equal to 12. Therefore, we can see that both products are identical and neither is greater.
Question 3(Multiple Choice Worth 3 points)
(01.04 LC)
Which of the following expressions is equivalent to 2x +4? (The x+4 is to the power of x)
A) 8(2) ^x
B) 2^x/8
C) 16(2)^x
D) 2^x/16
The expression that is equivalent to the expression 2ˣ⁺⁴ is 16(2ˣ)
Which expression is equivalent to the expressionFrom the question, we have the following parameters that can be used in our computation:
2ˣ⁺⁴
The above expression is an exponential expression with the following properties
Base = 2Exponent = x + 4When the above expression is expanded, we have
2ˣ⁺⁴ = 2ˣ * 2⁴
Evaluate the expression 2 exponent 4
So, we have the following representation
2ˣ⁺⁴ = 2ˣ * 16
Rewrite as follows
2ˣ⁺⁴ = 16 * 2ˣ
This gives
2ˣ⁺⁴ = 16(2ˣ)
Hence, the expression that is equivalent to the expression is 16(2ˣ)
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If there is a nonmathematical symbol in the preceding expression, then your browser doesn't have the math symbol font. Please follow the instructions on the WeBWorK front page to install the STIX math fonts. To get around this temporarily, (i) print a hardcopy (the symbols will be there), (ii) in the options box in the right column of this screen, check the formatted option and press the apply options button, or (iii) go to a UITS public cluster (e.g., the Library) and work there.) Find the following:
a. g(h(x))=_______
b. h(g(x))=_______
c. h(h(x))=_______
Complete Question
The complete question is shown on the first uploaded image
Answer:
a
\(g(h(x)) = \sqrt[4]{x^2 + x +5} + 3\)
b
\(h(g(x)) = \sqrt{x} + 7\sqrt[4]{x} + 17\)
c
\(h(h(x)) = [x^2 + x + 5 ]^2 + x^2 + x + 10\)
Step-by-step explanation:
From the question we are told that
\(h(x) = x^2 + x + 5\)
and
\(g(x) = \sqrt[4]{x} + 3\)
Considering first question
Now we are told g(h(x))
i.e
\(g(h(x)) = [x^2 + x + 5 ]^{\frac{1}{4} } + 3\)
=> \(g(h(x)) = \sqrt[4]{x^2 + x +5} + 3\)
Considering second question
Now we are told h(g(x))
i.e
\(h(g(x)) = [x^{\frac{1}{4} } + 3]^2 + x^{\frac{1}{4} } + 3 + 5\)
=> \(h(g(x)) = x^{\frac{1}{2} } + 6x^{\frac{1}{4} } + 9+ x^{\frac{1}{4}} + 8\)
=> \(h(g(x)) = x^{\frac{1}{2}} + 7x^{\frac{1}{4}} + 17\)
=> \(h(g(x)) = \sqrt{x} + 7\sqrt[4]{x} + 17\)
Considering third question
\(h(h(x))= [x^2 + x + 5]^2 + [x^2 + x + 5 ] + 5\)
=> \(h(h(x)) = [x^2 + x + 5 ]^2 + x^2 + x + 10\)
What are the coordinates of point Q?
How many units below the x-axis is point Q?
Will point Q' be above or below the x-axis?
How many units above or below the x-ax will it be?
Does reflection across the x-axis change the x-coordinates? If yes, how?
Does reflection across the x-axis change the y-coordinates? If yes, how?
What are the coordinates of point Q?
What are the coordinates for the other vertices of Q'R'ST?
R’
S’
T’
Draw figure Q’R’S’T’ on the coordinate plane and label the pints at the vertices
Answer:
Q (-4, -2); 2 units; Q' will be above the x-axis; 2 unites; no; yes, the y coordinates are multiplied by -1; Q' (-4, 2); R' (-2, 2), S' (1, 5), T' (-2, 5);
Step-by-step explanation:
even after a reflection over the x-axis, each points distance from the x-axis will stay the same
the x-coordinates don't change because the distance from the y-axis stays the same
the picture below shows points of Q'R'S'T', just connect the vertices
Simplify the following:
-8 + (15 - 3) = 4
Answer: -5
Step-by-step explanation:
-8 + (15-3) / 4
-8 + 12 / 4
-8 + 3
-5
4.
Andrew wants to buy a pair of jeans costing $60. Sales tax on his
purchase is 13%.
a)
How much tax will Andrew be charged?
Answer:
$7.80
Step-by-step explanation:
Find how much tax he will be charged by multiplying 60 by 0.13:
60(0.13)
= 7.8
So, he will be charged $7.80 in tax
Answer:
$7.80
Step-by-step explanation:
13% of 60 = 7.8
so in total 7.80 would be Andrew's TAX
[ Correct me if I'm wrong!! ]
Which of these is NOT a way to show that two figures are congruent?
If two figures can be mapped onto one another or if all pairings of angles and side lengths are congruent, the figures are said to be congruent.
What is Triangle?A polygon with three edges and three vertices is called a triangle. It is one of the fundamental geometric shapes. Triangle ABC is the designation for a triangle with vertices A, B, and C. In Euclidean geometry, any three points that are not collinear produce a distinct triangle and a distinct plane.
What is the condition to be congruent?If two triangles are the same size and shape, they are said to be congruent. To establish that two triangles are congruent, not all six matching elements of either triangle must be located. There are five requirements for two triangles to be congruent, according to studies and trials. The congruence properties are SSS, SAS, ASA, AAS, and RHS.
here, we have,
Both triangles are said to be congruent if the three angles and three sides of one triangle match the corresponding angles and sides of the other triangle.
In Δ PQR and ΔXYZ, as shown in figure,
we can identify that PQ = XY, PR = XZ,
and QR = YZ
and ∠P = ∠X,
∠Q = ∠Y and ∠R = ∠Z.
Then we can say that Δ PQR ≅ ΔXYZ.
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if a car travels 10km in 2.5 hours what was the average velocity
The average velocity of the car is the amount of distance covered per unit time o
determine the volume in ml of the cooler bag if the breath of the bag is 12 cm and the length is 18 cm
Given the breadth of the bag is 12 cm and the length is 18 cm, and the assumed height is 6cm, the volume of the cooler bag is 1296 ml.
What is the volume of the cooler bag?The volume of the cooler bag is determined using the formula;
Volume = length * breadth * height
Data given:
breadth = 12 cm
length = 18 cm
height = ?
The height is not given, therefore, an assumed height of 6 cm is used in the calculation.
Converting the measurements to millimeters:
Breadth = 12 cm * 10 mm/cm = 120 mm
Length = 18 cm * 10 mm/cm = 180 mm
Height = 6 cm * 10 mm/cm = 60 mm
Now, we calculate the volume of the cooler bag:
Volume = 180 mm * 120 mm * 60 mm
Volume = 1,296,000 mm³
To convert the volume from cubic millimeters to milliliters, we divide by 1,000
Volume = 1,296,000 mm³ / 1,000
Volume of cooler bag = 1296 ml
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Which is the slope of the line that passes through the points (4, 2) and
(6, 7)?
Answer:
2.5
Step-by-step explanation:
Use the formula y2-y1 divided by x2-x1
Plug in the values: (7-2)/(6-4)
5/2
=2.5
Find the numbers with the following property three times the sum of four and a number is less than seven times the same number
Let's represent the number with the variable "x". According to the given property, we can write the following equation:
3(x + 4) < 7x
Now, let's solve this inequality to find the range of numbers that satisfy the property.
3x + 12 < 7x
Subtract 3x from both sides:
12 < 4x
Divide both sides by 4 (since the coefficient of x is 4):
3 < x
So, the range of numbers that satisfy the given property is x > 3.
Therefore, any number greater than 3 will satisfy the condition. For example, 4, 5, 6, 7, 8, etc.Step-by-step explanation:
Select TWO expressions that contain a coefficient of 4.
a. 6y+4−5×8
b.4+2w÷6+2
c.4r+9
d.2+4z
Answer:
Step-by-step explanation:
D
The mass of the gold ever mined is 1.65 x 108 kilograms.
The mass of all the silver ever mined is 1.411 x 10 kilograms
How much more silver has been mined than gold?
Give your answer in standard form.
Kg
Answer:
need points
Step-by-step explanation:
blah blah blah blah blah hope u pass
5
Ginny is baking mince pies.
(a) A recipe says to use 3000 g of mincemeat for 100 pies.
How many grams of mincemeat will she need for 70 pies?
Answer:2100g
Step-by-step explanation:
We can use ratios to solve this:
100 pie : 3000g
1 pie : 30g
70 pie : 2100g
Help
Problems 3.1–3.2
Starting at noon, the temperature changed steadily at a rate of −0.8°C every hour.
At 3 p.m., the temperature was −2.5°C.
What was the temperature at noon?
The temperature at noon is equal to -0.1°C.
What is the slope-intercept form?Mathematically, the standard form or slope-intercept form of the equation of a straight line is given by this mathematical expression;
y = mx + c
Where:
m represents the slope or rate of change.x and y are the points.c represents the y-intercept or initial value.Note: Let x represent the time.
Next, we would write an equation that models the situation based on the rate of change (slope) and y-intercept (initial value) as follows;
y = mx + c
y = -0.8x - 2.5
y = -0.8(3) - 2.5
y = -2.4 - 2.5
y = -0.1°C
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Need help please???
Answer:
y= \(\frac{3}{5}x\) \(-\frac{26}{5}\)
Step-by-step explanation:
x₁ y₁ m= slope
(2, -4) point-slope equation: y - y₁ = m( x - x₁)
y-(-4) = \(\frac{3}{5}\)( x - 2)
y + 4 = \(\frac{3}{5} x\) - \(\frac{6}{5}\)
y = \(\frac{3}{5}x\) - \(\frac{6}{5}\) - \(\frac{20}{5}\)
y = \(\frac{3}{5} x\) - \(\frac{26}{5}\)
Could someone help me solve this please? With explanation?
Answer:
x=109 degrees
Step-by-step explanation:
By alternate interior angles, the measure of angle ADE is the same as that of EAB, both of which are 38.
Because ADE is an isosceles triangle, the measure angle EAD is equal to that angle EDA; let that measure be x.
Because the angles of a triangle add up to 180, x+x+38=180 -> 2x+38=180 -> 2x=142 -> x=71
That means that angle EDA is 180 degrees
Because x is supplementary to angle EDA, the measure of angle x is 180-71=109 degrees
please help
Determine which of the following
relations is NOT a function.
A. {(-2, 1), (2, -1), (-1, 2), (1, 1)}
B. {(3, 1), (4, -1), (5,2), (1, -1)}
C. {(-2,-1), (3,-1), (3, 2), (2, 1)
Answer:
A?
Step-by-step explanation:
An equation is shown below:
5(2x - 8) + 15 = -15
Write the steps you will use to solve the equation and explain each step. Brain list will be given if answered right
Answer:
x = 1
Step-by-step explanation:
5(2x - 8) + 15 = -15
First, let's move the 15 to the opposite side of the equation. We'll do this by subtracting 15 from BOTH sides of the equation.
5(2x - 8) + 15-15 = -15-15
5(2x-8) + 0 = -30
5(2x-8) = -30
Now let's expand that first term.
5(2x)-5(8) = -30
10x - 40 = -30
Now let's move the -40 to the opposite side of the equation. We'll do this by ADDING 40 to both sides of the equation.
10x - 40 + 40 = -30 + 40
10x -0 = 10
10x = 10
Now to solve for x, we divide BOTH sides by 10 to "isolate the variable" aka get x alone.
10x/10 = 10/10
x = 1
The answer is x = 1.
Let's check if our answer is correct!
Original equation: 5(2x - 8) + 15 = -15
Substitute 1 for x.
5(2*1-8) + 15 =
5(2-8) + 15 =
5(-6) + 15 =
-30 + 15 = -15 >>> which is exactly what we started with! So x is 1.
GIVING BRAINLIEST
_____ is the use of force to move or change the position or motion of an object.
Work
Acceleration
Friction
Inertia
4.
Choose the best answer.
A(n) _____ is the point that a lever pivots.
bar
pulley
wheel and axle
fulcrum
5.
Choose the best answer.
A(n) _____ is a machine that makes work easier and has no or few moving parts.
complex machine
compound machine
simple machine
easy machine
6.
Choose the best answer.
A(n) _____ is made of two or more simple machines.
complex machine
scientific machine
compound machine
electric machine
7.
Which of these is an example of work being done?
A child pushes a toy car across the floor.
A woman opens a door.
A soccer player hits a ball in the air with his head, and its direction changes.
All of these
8.
Choose the best answer.
A(n) _____ is made of a round shape that rolls and a rod that it turns around.
wheel and axle
fulcrum
pulley
lever
9.
Choose the best answer.
A(n) _____ is made of a bar that pivots at a fixed point.
lever
wheel and axle
pulley
fulcrum
10.
Choose the best answer.
A(n) _____ is an inclined plane wrapped around a post.
lever
screw
wedge
pulley
11.
Choose the best answer.
A(n) _____ is two inclined planes placed back to back.
wedge
pulley
screw
lever
12.
Choose the best answer.
A(n) _____ looks like a ramp.
screw
inclined plane
wedge
pulley
13.
The words that can be used to fill in the blanks are;
3) Work
4) fulcrum
5) simple machine
6) compound machine
7) All of these
8) pulley
9) wheel and axle
10) screw
11) wedge
12) inclined plane
What is force?We know that the term force has to do with a push or a pull force has to do with that which could cause an object to move some distance in the direction of the force that has been applied.
There are several kinds of simple machine. Let us recall that a machine has to do with any material that eases our work. It is the material that helps us to exert a lesser effort in order to move a heavier load.
The various kinds of simple machines that we have are;
LeverWheel and axlePulleyScrew jackThe Lever is a simple machine that is composed of the load, the fulcrum and the effort.
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6 x 9 < 3 × ___ pls help me i really need help
Answer:
x = 2
Step-by-step explanation:
1. Add 9 to both sides.
6x=3+9
2. Simplify 3+9 to 12.
6x=12
3. Divide both sides by 6.
x=12/6
4.
Simplify 12/6 to 2
x = 2
Can someone please help me ?
Answer:
Um, I feel like I don't have enough info to solve this
Step-by-step explanation:
a. The historic carousel at the park has 4 giraffes, 4 lions, 2 elephants, 18 horses, 1 monkey, 6 unicoms, 3 ostriches, 3 zebras, 6 gazelles, and even 1 dinosaur.
Eric's niece wants for Eric to randomly pick an animal to ride. What is the probability (expressed as a percent) that Eric picks a horse, a unicom, or a zebra?
Answer:
12 percent
Step-by-step explanation:
The probability of choosing a horse, zebra or unicorn is 75%
Total possible outcomes = Total number of animals = (4 + 4 + 2 + 18 + 1 + 6 + 3 + 3 + 6 + 1) = 48 animals
Required outcome = The Number of horse, unicorn or zebra = (6 + 3 + 18) = 36
Recall :
Probability = required outcome / Total possible outcomes
Hence, the probability of choosing a zebara, unicorn or horse is :
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Let u = <3, 3> and v = <11, 8>. Find u + V.
The sum of the given vectors is 14i+11j.
Given that are vectors u = <3, 3> and v = <11, 8> we need to find u + v,
So,
Considering the vectors, a and b in two-dimensional,
\(\overrightarrow{a} = x_1i+y_1j\\\overrightarrow{b} = x_2i+y_2j\\\)
The following step is used to find out the vector sum of a and b;
i-component of the vector a is added with the i-component of the vector b,
j-component of the vector a is added with the j-component of the vector b,
Therefore, the sum is =
\(\overrightarrow{a}+\overrightarrow{b} = (x_1+x_2)i +(y_1+y_2)j\)
Here,
\(\overrightarrow{u} = 3i+3j\\\\\overrightarrow{v} = 11i+8j\)
The sum =
\(\overrightarrow{u}+ \overrightarrow{v} =(3i+3j)+(11i+8j)\\\\= (3+11)i + (3+8)j\\\\= 14i+11j\)
Hence the sum of the given vectors is 14i+11j.
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List all the 4-tuples in the relation {(a,b,c,d) | a,b,c,d∈!+ , a+b+c+d = 6}
We have a total of seven 4-tuples that satisfy the given relation.The given relation is {(a,b,c,d) | a,b,c,d∈!+ , a+b+c+d = 6}. It can be understood as the set of 4-tuples (a, b, c, d) such that a, b, c, and d are positive integers and their sum is equal to 6.
Let's now list all the possible 4-tuples that satisfy the given relation. The possible combinations are as follows: (1, 1, 1, 3), (1, 1, 2, 2), (1, 2, 1, 2), (2, 1, 1, 2), (1, 2, 2, 1), (2, 1, 2, 1), and (2, 2, 1, 1).
Here's a brief explanation on how these 4-tuples were obtained. Let a, b, c, and d be positive integers such that a+b+c+d = 6. The least possible value that each variable can take is 1.
So, we start with a=1 and find all possible values of (b, c, d) that satisfy the given equation. Then, we move to a=2 and repeat the process. Finally, we list all the possible 4-tuples that we obtained.
Thus, we have a total of seven 4-tuples that satisfy the given relation.
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Express 75 as a product of its prime factors write the prime factors in ascending order and give your answer in index form
Step-by-step explanation:
75 = 3 x 5 x 5 in prime factorization
Answer:
Step-by-step explanation:
3x5x5
can someone help me answer this question please!!
Answer:
i think its A
Step-by-step explanation: