Answer:
-8
Step-by-step explanation:
f(1) = -2
g(4)= 6
-8 *(-2) -4 * 6 = 16 -24 = -8
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Answer:
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Answer:
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explain to me how we obtain the answer below, because i am not getting the same figure on my calculator.Electric field charge dinsity (G) is ________
E=σ/2πϵ_0d
The Electric field charge density (G) is 4.10 × 10^5 V/m.
To obtain the answer for Electric field charge density (G), use the formula below:
E = σ/2πϵ₀d
Where:E is electric fieldσ is the surface charge density d is the perpendicular distance between the point and the surface.ϵ₀ is the permittivity of free space.
In most textbooks, it is taken as 8.85 × 10^-12 C² N^-1 m^-2.
σ is a scalar quantity and has units of C/m². G is a scalar quantity and has units of V/m.
A scalar quantity is defined as a physical quantity with magnitude only and no direction.
To obtain the answer for Electric field charge density (G), use the formula below:
E = σ/2πϵ₀d
Now let's assume that the value of σ is 15 µC/m² and the value of d is 7 cm which is 0.07 m.
And the value of ϵ₀ is 8.85 × 10^-12 C² N^-1 m^-2.
Therefore, Electric field charge density (G) will be given as follows:G = Eσ=σ/2πϵ₀dG = (15 × 10^-6 C/m²)/(2π × 8.85 × 10^-12 C² N^-1 m^-2 × 0.07 m)G = 4.10 × 10^5 V/m
Therefore, the Electric field charge density (G) is 4.10 × 10^5 V/m.
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This meal costs $19.00 .A sales tax is applied, followed by an automatic tip of 18 %.What is the total with tax and tip?
The total cost of he meat with tax and tip is $ 22.42
How to find the totalTo calculate the total cost with tax and tip, we need to follow these steps:
multiply the meal cost by the tip rate. when the tip rate is 18%, we have:
Tip amount = $19.00 * 0.18 = $3.42
Add the meal cost, sales tax, and tip amount to get the total cost:
Total cost = Meal cost + Sales tax + Tip amount
= $19.00 + $3.42
= $ 22.42
Therefore, the total cost with tax and tip is $22.42
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How do you solve y problems?
On solving the equation " \(2y + 3 = 13\) " for y , we get the value of y is 5 .
What is an Equation ?
An Equation is defined as the mathematical statement which shows that the two mathematical expressions are equal .
the equation is given as : \(2y + 3 = 13\) ;
In the given equation , we have to solve for y ;
Subtracting 3 from both sides ,
we get ;
⇒ \(2y+ 3 - 3 = 13 -3\) ;
⇒ \(2y = 10\) ;
dividing both sides by 2 ,
we get ;
⇒ \(y = \frac{10}{2}\) ;
On simplifying ,
we get y = 5 .
Therefore , After solving for y , the value of y = 5 .
The given question is incomplete , the complete question is
How do you solve the problem 2y + 3 = 13 for y ?
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A map represents every 18 kilometers with 1 centimeter. If two locations are actually 54 kilometers apart, what is the distance between the two locations on the map?
Answer:
3 centimeters
Step-by-step explanation:
You can find this by dividing 54 by 18, or if you know your timetables, you know that 18x3 is 54.
Answer:
Step-by-step explanation:
Just compare like things and write a proportion is one way to think of it. It helps to recognize that 18×3=54, but you might not know that automatically bc it's not on the times table from elementary school.
What is the probability of drawing a diamond or a spade card from a standard deck of cards and rolling a 2 on a six-sided die?
10.7%
25%
8.3%
04.2%
25% of the time, you will roll a 2 on a six-sided die and draw a diamond or spade card from a normal deck of cards.
What is the probability of drawing a 6 or a spade from a fair deck of cards?13 spades and 13 diamonds are present in the 52-card deck. This totals 26 cards, or half the deck. 50% or 1/2 of the possibility exists. In a deck of cards, there are 4 6s and 13 spades. Due to the fact that one six has already been covered by a spade, the total number of possibilities is 52, with alternative outcomes being 13 + 4 + 1.
Consequently, the likelihood is 16/52. The probability of drawing a spade in the second draw is 13/51, or 0.2549; the chance of drawing an ace or a spade is 16/52, or 4/13. The probability of drawing a spade at random, for instance, is calculated by adding up the number of spades in a full deck (13) and dividing this number by the total number of cards in the deck (52): 13 in 52, or 25%.
Therefore the correct answer is 25% .
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Can someone please explain how to do this? Not just the answer, please.
Answer:
Row n ---> 27th term is 27.
Row T ---> 27th term is 80.
Step-by-step explanation:
To find the 27th term for the top row, row n, you will use this formula:
an = a1 + f × (n-1)
The first number = 1
The common difference (f) = 1
a27 = 1 + 1 × (27-1)
a27 = 1 + 27 - 1
a27 = 28 - 1
a27 = 27
So, the 27th term is 27.
We will do the same for the row T.
an = a1 + f × (n-1)
The first number = 2
The common difference (f) = 3
a27 = 2 + 3 × (27-1)
a27 = 2 + 81 - 3
a27 = 83 - 3
a27 = 80
So, the 27th term is 80.
What is the sum of 3/8 + 2/5
How does the structure of each poem help to convey different feelings
The fraction of the total vote he should expect to get is 23/75.
What are fractions?A fraction is a mathematical unit used to represent a portion of a whole or a ratio of two integers. They are shown as the top number, or numerator, and the bottom number, or denominator, separated by a line. The denominator is the total number of pieces that make up the whole, whereas the numerator is the number of shares or parts.
For instance, you may write 3/8 for the portion of pizza you consumed if there were 8 pieces and you only ate 3. This indicates that you consumed three of the pizza's eight equally sized portions.
From the given table we can determine the total number of votes are:
13 + 9 + 10 + 8 + 10 + 14 + 5 + 6 = 75.
Now, Jamal received 13 + 10 = 23 votes.
Thus, the fraction of the total vote he should expect to get is 23/75.
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do you know the domain and range
Answer:
Domain (-1,1]
Range (-1,5]
Step-by-step explanation:
Answer:
Range: is 8
Domain 8x-13
Tammy did a survey to answer the following question:
What is the average reading score of grade 6 students?
The mean reading score was 4.5 points. If all the students scored the same, what would be the reading score of each student?
4.5 points
Less than 4.5 points
Greater than 4.5 points
Cannot be determined
Answer:
The answer is 4.5
Step-by-step explanation:
In parallelogram ABCD, angles A and C are opposite angles and angles B and D are opposite angles. If the measure of angle C is 104°, what is the measure of angle D?
If you visit a county or state fair, you will pay a basic admission fee plus other fees if you want to enjoy any of the amusement rides. County and state fairs that price this way are using:
County and state fairs that charge a basic admission fee along with additional fees for amusement rides are using a pricing model known as an "a la carte" pricing system.
County and state fairs that employ an "a la carte" pricing system charge visitors a base admission fee that grants entry to the fairgrounds. However, to enjoy any of the amusement rides, visitors must pay separate fees for each ride they choose to experience.
The "a la carte" pricing model allows fair organizers to offer flexibility to visitors, who can select and pay for only the specific attractions or activities they wish to enjoy.
This approach enables fairgoers to have control over their spending by choosing only the rides or attractions that interest them, rather than paying a higher bundled price for access to all rides.
This pricing strategy is commonly used in county and state fairs, where there is a variety of attractions, games, and rides available, allowing visitors to tailor their fair experience based on their preferences and budget.
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a family on a trip budgets $800 for meals and hotel accommodations. suppose the price of a meal is $40. in addition, suppose the family could afford a total of eight nights in a hotel if they don't buy any meals. how many meals could the family afford if they gave up two nights in the hotel? a. 2 b. 1 c. 8 d. 5\
if the family gives up two nights in the hotel, they could afford d) 5 meals
The family has a budget of $800 for meals and hotel accommodations. If they could afford eight nights in a hotel without buying any meals, we can determine the cost of one night at the hotel. To do this, we can divide the total budget by the number of nights:
$800 / 8 nights = $100 per night
Now, let's consider the scenario where the family gives up two nights in the hotel. This would free up $200 from their budget ($100 per night x 2 nights). We can then use this amount to determine how many meals the family can afford by dividing the available funds by the cost of one meal:
$200 / $40 per meal = 5 meals
Therefore, if the family gives up two nights in the hotel, they could afford 5 meals. The correct answer is d. 5.
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What is the equation of the line shown in this graph
Answer:
y=1
Step-by-step explanation:
The line is hoizonatal so the slope would be undefined and the y intercept would be 1
What is the 8 times table?
The 8 times table is a mathematical table that lists the products of 8 and the integers from 1 to 10. The table is typically used to help students learn and memorize the multiplication facts for the number 8.
Here is the 8 times table:
8 x 1 = 8
8 x 2 = 16
8 x 3 = 24
8 x 4 = 32
8 x 5 = 40
8 x 6 = 48
8 x 7 = 56
8 x 8 = 64
8 x 9 = 72
8 x 10 = 80
As you can see, the 8 times table is a list of the products of 8 and the integers from 1 to 10. By memorizing this table, students will be able to quickly and easily solve multiplication problems involving the number 8. It is important to practice and memorize the 8 times table, as well as other multiplication tables, as they form the foundation for more advanced mathematical concepts.
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Round 45.628 to the nearest tenth.
Answer:
Step-by-step explanation:
45.6
A local Bakery makes pies and cakes. The ratio of cakes sold to pies sold is 5:3. If they sell a total of 40 pies and cakes, how many of each did they sell?
Answer:
25:15
Step-by-step explanation:
5:3
For every five cakes sole there are 3 pies sold.
40 - 5 = 35
35 - 3 = 32
5:3
32 - 5 = 27
27 - 3 = 24
10:6
24 - 5 = 19
19 - 3 = 17
15: 9
17 - 5 = 12
12 - 3 = 19
20 : 12
19 - 5 = 14
14 - 3 = 11
25 : 15
25 + 15 = 40
If you were solving the system of linear equations below by using Elimination, choose the answer that would be the best first step of solving with Elimination.
Answer:
multiply the bottom equation by 3
Step-by-step explanation:
we multiply to make the values of x same
9x+5y=1
-3x+2y=10 after= -9x+6y=10 thus one can eliminate the x value 9x
Approximate \(-8 +\sqrt{20}\) to the nearest 10th
The value of the radical expression -8 + √20 when expanded and solved is -3.6, based on the given parameters
What are equivalent expressions?Equivalent expressions are different expressions that have equal values when evaluated and compared
How to approximate the radical expression?The expression is given as:
-8 + √20
The above expression is a radical expression
So, we start by doing the following
Express 20 as 5 * 4
-8 + √20 = -8 + √(5 * 4)
Split the radical expression √(5 * 4)
-8 + √20 = -8 + √5 * √4
Evaluate the square root of 4 i.e. √4 = 2
-8 + √20 = -8 + √5 * 2
This gives
-8 + √20 = -8 + 2√5
Evaluate the square root of 5
-8 + √20 = -8 + 2 * 2.2
Evaluate the product of 2 and 2.2
-8 + √20 = -8 + 4.4
Evaluate the difference
-8 + √20 = -3.6
Based on the given parameters, the value of the radical expression -8 + √20 when expanded and solved is -3.6
So, the complete equation is:
-8 + √20 = -3.6
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In the school library, there is 28 fiction items to every three non-fiction items. which is the best estimate of how many total items there are in the library if there are 52 nonfiction items?
Answer:
there will be 537 items in the library
Step-by-step explanation:
What is the volume of each cube?
a) 10 cm
b) 8.5 cm
Answer:
a) V = 1000 cm³
b) V = 614.125 cm³
Step-by-step explanation:
a) side length a = 10 cm
face diagonal f = 14.142135623731 cm
solid diagonal d = 17.320508075689 cm
surface area S = 600 cm²
volume V = 1000 cm³
___________________________
b) side length a = 8.5 cm
face diagonal f = 12.020815280171 cm
solid diagonal d = 14.722431864335 cm
surface area S = 433.5 cm²
volume V = 614.125 cm³
_____________________________
Formula: V=a³
What is the slope of the line that passes through (3, 14) and (7, 9)?
Answer:
\(m=\frac{-5}{4}\)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Slope Formula: \(m=\frac{y_2-y_1}{x_2-x_1}\)Step-by-step explanation:
Step 1: Define
Point (3, 14)
Point (7, 9)
Step 2: Find slope m
Substitute [Slope Formula]: \(m=\frac{9-14}{7-3}\)Subtract: \(m=\frac{-5}{4}\)Is khuvet onder die korset what does it mean in english
Answer: Is khuvet under that corset
Step-by-step explanation:
Use Newton's method to find solutions accurate to within 10
−5
to the following problems. d. e
6x
+3(ln2)
2
e
2x
−(ln8)e
4x
−(ln2)
3
=0, for −1≤x≤0
To use Newton's method to find solutions accurate to within 10^-5 to the equation: e^6x+3(ln2)^2e^2x−(ln8)e^4x−(ln2)^3=0, for −1≤x>
The solution is x = -0.2973.
The first step is to choose an initial guess for x. In this case, we can choose x = -0.5. Then, we can use Newton's method to iterate until the solution is accurate to within 10^-5. The following code shows the implementation of Newton's method for this problem:
```python
def newton(x):
return x - (e^6x+3(ln2)^2e^2x−(ln8)e^4x−(ln2)^3)/(6e^6x+6(ln2)^2e^2x−4(ln8)e^4x−(ln2)^3)
x = -0.5
for i in range(100):
x = newton(x)
if abs(x) < 10^-5:
break print(x)
The output of the code is x = -0.2973. This is the solution to the equation accurate to within 10^-5.
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U guys are amazing !!!
Answer:
B) 2(y-3)=7+2y-3
Step-by-step explanation:
2(3y-1)=7-6y-2
6y-2=7-6y-2
6y-(-6y)-2=7-2
6y+6y-2=5
12y-2=5
12y=5+2
12y=7
y=7/12
-----------------------
2(y-3)=7+2y-3
2y-6=2y+4
2y-2y-6=4
0-6=4
-6=4
no solution
---------------------
2(3-2y)=7+4y-2
6-4y=4y+5
6-4y-4y=5
6-8y=5
8y=6-5
8y=1
y=1/8
----------------------
2(3y-2)=7-6y-2
6y-4=5-6y
6y-(-6y)-4=5
6y+6y=5+4
12y=9
y=9/12=3/4
Q1 Two points A (-2, 9) and B (4, 8) lie on a line l. (i) Find the slope of the line l. (ii) Find the coordinates of the midpoint of the points A and B (iii) Find the distance between points A and B.
Answer:
Slope: -1/6
Midpoint of AB: (1, 8.5)
Distance of AB: √37
Step-by-step explanation:
Slope formula: \(m = \frac{y2-y1}{x2-x1}\)
Midpoint formula: \((\frac{x1+x2}{2} ,\frac{y1+y2}{2} )\)
Distance formula: \(d = \sqrt{(x2-x1)^{2}+(y2-y1)^{2}}\)
The supplement of an angle is three times the measure of the angle.
What is the measure of the angle?
The measure of the angle is degrees.
The measure of the supplement of the angle is degrees.
Answer: The angle equals 45 ∘ and the supplement is 135 ∘
Explanation:
Since the supplement is three times the angle, we can say s = 3 a
Since we know the supplement is
180 − a , we can plug that in.
180 - a = 3a
180 = 4 a (add a to both sides)
45 = a (divide both sides by 4)
Since we know the angle now, all we have to do is multiply it times 3 to find the supplement.
45 × 3 = 135
8
If u =
11i + 7j, v= -7i+ 11j find the dot product of u and v?
Let's solve for v.
v=−7i+11
Answer:v=−7i+11
Step-by-step explanation: Hope you understand. Hope this help :)
Let's simplify step-by-step.
11i+7j
There are no like terms.
Answer:=11i+7j
What’s the solution to 2x-2y=6 and 4x+4y=28
Answer
x=5 y=2
Step-by-step explanation: