To find the fourth term in the sequence described by the expression c(n)=-7+6(-1), substitute n = 4 into the expression and simplify. the fourth term in the sequence is -13.
Explanation:To find the fourth term in the sequence given by c(n)=-7+6(-1), we need to substitute n = 4 into the expression and simplify.
First, substitute n = 4 into the expression:
c(4) = -7 + 6(-1)
Next, simplify the expression:
c(4) = -7 + (-6)
c(4) = -7 - 6
c(4) = -13
Therefore, the fourth term in the sequence is -13.
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what determines if a sample is valid
Step-by-step explanation:
When you're determining the statistical validity of your data, there are four criteria to consider. Population: The reach or total number of people to whom you want to apply the data. ... Confidence: How confident you need to be that your data is accurate. Expressed as a percentage, the typical value is 95% or 0.95.
The graphs shows the relationship between the number of bags of wild rice in a restaurant and the total number of pounds of wild rice in those bags. Which statement is not correct?
Answer:
Step-by-step explanation:is the divide by 7×10=70is
If the legs of the triangle are doubled in length what is the length of the hypotenuse
7
10
14
48
None of the above
How many calories of energy will 20 grams of carbohydrates provide if 1 gram provides 4 calories?
Answer:
5 grams provided for 4 calories
Step-by-step explanation:
20 grams at 4 calories per gram.
20*4=80 Calories.
A cone has a lateral surface area of 62.8 square yards. If the slant height is 2 yards, what is the total surface area of the cone?
The total surface area of the cone is 7π square yards.
Explanation:To find the total surface area of the cone, we need to find the lateral surface area and add it to the base area.
The lateral surface area of a cone is given by the formula πrℓ, where r is the radius and ℓ is the slant height.
In this case, the lateral surface area is 62.8 square yards and the slant height is 2 yards.
So, the lateral surface area of the cone is π(2)(2) = 4π square yards.
The base area of a cone is given by the formula πr^2, where r is the radius.
Since the slant height is given, we can use the Pythagorean theorem to find the radius. The radius is the hypotenuse of a right triangle with the slant height as one of the legs and the height of the cone as the other leg.
Using the Pythagorean theorem, we have r^2 = (2)^2 - (1)^2 = 4 - 1 = 3.
Therefore, the radius is √3 yards.
The base area of the cone is then π(√3)^2 = 3π square yards.
The total surface area of the cone is the sum of the lateral surface area and the base area, 4π + 3π = 7π square yards.
Which system of linear equations appears to have a solution of (3, 0)?
The solution of a system of equations is (3,0).
What is a system of linear equations?A system of linear equations is a collection of one or more linear equations involving the same variables in mathematics. The system of linear equations appears to have a solution of (3, 0).
A linear equation is one in which the variable's maximum power is always 1. The degree of the linear equation is always equal to one.
If a system of linear equations has two equations and a graph of these two equations intersect each other at (a,b), then the point (a,b) is the solution of that system of equations.
Since, the solution of a system of equations is (3,0), therefore on a coordinate plane, 2 lines intersect at (3, 0).
Therefore, the solution of a system of equations is (3,0).
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Final answer:
The system of linear equations with a solution of (3, 0) is the one where two lines intersect at the point (3, 0) on a coordinate plane.
Explanation:
The student is asking which system of linear equations appears to have a solution of (3, 0). In the context of a coordinate plane, the solution to a system of linear equations is the point where the equations' graphs intersect. The given options describe where two lines intersect on different coordinate planes. Only the option stating 'On a coordinate plane, 2 lines intersect at (3, 0)' would represent a system where the solution is (3, 0). Therefore, the correct answer is the one where two lines intersect at the point (3, 0) on a coordinate plane.
y = 2x + 1
y = 4x - 1
Answer:
y = 2x + 1
y = 4x - 1
Step-by-step explanation:
You haven't mentioned the question so, unfortunately I can't give you the answer.
The correct answer is that the system of equations has no solution.
To determine the solution to the system of equations, we need to compare the two equations
1. [tex]\( y = 2x + 1 \)[/tex]
2. [tex]\( y = 4x - 1 \)[/tex]
For a system of equations to have a solution, both equations must be satisfied simultaneously. This means that the values of [tex]\( x \) and \( y \)[/tex] that satisfy one equation must also satisfy the other equation.
Let's analyze the equations. Both equations are in slope-intercept form, [tex]\( y = mx + b \)[/tex], where m is the slope and b is the y-intercept.
For the first equation, the slope is 2 and the y-intercept is 1. For the second equation, the slope is 4 and the y-intercept is -1 .
Since the slopes of the two lines are different (2 for the first line and 4 for the second line), the lines are not parallel. However, the y-intercepts are different as well (1 for the first line and -1 for the second line). This means that the lines are not the same line and they will never intersect because two lines with different slopes and different y-intercepts cannot meet.
Therefore, there is no point [tex]\( (x, y) \)[/tex] that satisfies both equations simultaneously, and the system of equations has no solution. This is an example of a system of linear equations that is inconsistent.
In conclusion, the system of equations given by [tex]\( y = 2x + 1 \)[/tex] and [tex]\( y = 4x - 1 \)[/tex] has no solution because the lines represented by these equations are neither parallel nor do they intersect.
The equation of a circle whose center is at (4,0) and radius is length 2 (3) is
(x - 4)2 + y2 = 213
(X - 4)2 + y2 = 12
(x + 4)2 + y2 = 12
Answer:
I think the answer is (x-4)2 + y2 = 12 :) sorry if i am wrong***
Step-by-step explanation:
Evaluate each expression if a=4, b=6 and c=3
5b-6c
Answer:
it is 12
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
replace the values.
5(6) - 6(3)
Using PEMDAS, you would do multiplication first.
30 - 18
Next, subtraction.
12
If the sin(50°)=0.77, what is the cos(40°)?
To find the cos(40°), you can use the trigonometric identity sin²θ + cos²θ = 1. Since 50° and 40° are close angles, you can approximate the cos(40°) as 0.6393.
Explanation:To find the cos(40°), we can use the trigonometric identity
sin²θ + cos²θ = 1.
Since we know that sin(50°) = 0.77, we can square this value to find the cos²(50°):
cos²(50°) = 1 - sin²(50°) = 1 - 0.77²
Simplifying, we get cos²(50°) ≈ 0.4089. Since cosine is positive in the first and fourth quadrants, the positive square root of this value gives us the cos(50°) ≈ 0.6393.
Therefore, we can approximate the cos(40°) as 0.6393 as well, since these are close angles.
Solve 4s - 12/t when s = 4 and t = 8
Answer:
14.5
Step-by-step explanation:
Find the slope between the following two points: (-15, -7) and (5,-3) *
Answer:
= 1/5
Step-by-step explanation:
We can find the slope using
m = (y2-y1)/(x2-x1)
= (-3- -7)/(5--15)
= (-3+7)/(5+15)
= 4/20
= 1/5
Answer:
The slope of the line is 1/5x.
Step-by-step explanation:
I graphed the points on the graph below. Then, I found the slope by counting the number of spots right and up from the first point to the second point.
You earn $42 for washing 7 cars. How much do you earn for washing 3 cars?
Answer:
42/7 = x/3
7x = 126
x = $18 for washing 3 cars
Step-by-step explanation:
you randomly draw a marble from a A bag of marbles that contains eight blue marbles, five Green marbles, and eight red marbles
P(red & blue) = 16/21
Answer:
There is a 76% chance of either getting a blue or red marble
Step-by-step explanation:
8 + 5 + 8 = 21
There are 21 marbles in the bag
21 - 16 = 5
16/21 = 76%
Which equation is equivalent to 8x + 3(x + 5) - 5(x - 4) = 2? A. 6x + 35 = 2 B. 6x + 1 = 2 C. 6x – 5 = 2 D. 43x = 2
[tex]8x + 3(x + 5) - 5(x - 4) = 2 \\ 8x + 3x + 15 - 5x + 20 = 2 \\ 6x + 35 = 2[/tex]
Answer: A.
[tex]6x + 35 = 2[/tex]
Answer:
A
Step-by-step explanation:
8x + 3(x + 5) - 5(x - 4) = 2
Distribute the 3
8x + 3*x +3*5 -5(x-4)=2
8x+3x+15 -5(x-4)=2
Distribute the -5
8x+3x+15 -5*x +-5*-4=2
8x+3x+15-5x+20=2
Combine like terms
8x+3x-5x+20+15=2
6x+35=2
So, A is the correct choice
Make 24 using the numbers 1,6,8,8
Answer:
((1 - 6) + 8) * 8
(1 - (6 - 8)) * 8
((1 + 8) - 6) * 8
(1 + (8 - 6)) * 8
8 * ((1 - 6) + 8)
((8 + 1) - 6) * 8
(8 + (1 - 6)) * 8
8 * ((1 + 8) - 6)
((8 - 6) + 1) * 8
(8 - (6 - 1)) * 8
8 * ((8 + 1) - 6)
8 * ((8 - 6) + 1)
There are 12 solutions above
HOPE I HELPED!!!
<3
Answer:
(8-6+1)8=24
Step-by-step explanation:
Use order of operations to solve
Find the missing measures
43
Answer:
y=43
x=137
z=137
Step-by-step explanation:
What is the square root of pi squared multiplied by 5x
Answer:
[tex]7.0248\sqrt{x}[/tex]
Step-by-step explanation:
We want to find the answer to the expression: [tex]\sqrt{\pi ^2*5x}[/tex]
We can easily calculate the product of the constants on the inside:
[tex]\sqrt{\pi ^2*5x}=\sqrt{49.348x}[/tex]
Now, we can split this radical into two:
[tex]\sqrt{49.348x}=\sqrt{49.348} *\sqrt{x} =7.0248\sqrt{x}[/tex]
Thus, the answer is [tex]7.0248\sqrt{x}[/tex].
Hope this helps!
Answer:
sqrt(5x) pi
Step-by-step explanation:
(pi² × 5x)^½
(pi²)^½ × (5x)^½
pi × sqrt(5x)
At the start of the week, Monique’s savings account had a balance of $326. She made a $45 withdrawal each day for seven days. During that week, she also made two deposits of $125 each. Which integer represents the balance in Monique’s account at the end of the week?
A. –891
B. –261
C. 261
D. 891
Answer:
Step-by-step explanation:
45 times 7= 315
326-315=11
125 times 2=250
250+11=261
so the answer is C. $261
The integer which represent the balance in Monique's account at the end of the week is 261.
What is addition?The addition is taking two or more numbers and adding them together, that is, it is the total sum of 2 or more numbers.
What is subtraction?Subtraction means to take away from a group or a number of things. When we subtract, the number of things in the group reduces or becomes less.
According to the given question.
Amount of money Monique have initially = $326
The amount of money Monique withdrawal from her savings each day is $45.
⇒ For the seven days the withdrawal amount = 7 × $45 = $315
Also, she made two deposits of $125
So, the total amount se deposited = 2 × $125 = $250
Therefore,
The total balance in Monique's account at the end
= $326 - the amount she withdrawn + the amount she deposited
= $326 - $315 + $250
= $261
Hence, the integer which represent the balance in Monique's account at the end of the week is 261.
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Plot the location of -9 and -3 on the number line. Use mathematical symbols to write an inequality that compares -9 and -3. Explain how the number line can be used to show that your inequality is correct.
Answer:
-9<-3
Step-by-step explanation:
Since -3 is closer to 0 than -9, then -3 is the greater number.
to the person that answers in 5 minutes you get 100 dollars Question 2(Multiple Choice Worth 5 points) (08.01 MC) The system of equations shown below is graphed on a coordinate grid: 3y + x = 6 2y − x = 9 Which statement is true about the coordinates of the point that is the solution to the system of equations?
Answer: i realy cant tell but i think 6
Step-by-step explanation:
Please answer and show work :)
Answer:
2 book cases
Step-by-step explanation:
If she has 1 1/4 gallons of paint then she has two (1/2) gallons and one (1/4) gallon. Each book case takes 1/2 gallon of paint and if you multiply it by 2 it equals 1 gallon. You only have 1/4 gallon left.
1 bookcase (1/2 gallon) + 1 bookcase (1/2 gallon) = 1 gallon. There is only 1/4 gallon left which is less than 1/2.
What is the surface area of the present?
Answer:
1,350
Step-by-step explanation:
To find Surface Area you need to area of all the sides and add them
So to find one side of the cube you do L x H
So 15 x 15 = 225
Since all the sides of the cube are the same, you don't need to figure out the area of the other sides.
225 x 6 sides = 1,350
Hope this helped
Can anyone help with this(Also have another question that is posted if you would like to answer that as well!)
Answer:
From the info you give us it should be around 8.57 in. per book.
Step-by-step explanation:
5x12=60/7=8.57
When two chords intersect "inside" a circle, what two sets of
angles are formed.
Answer:
Two sets of vertical angles are formed.
You want to buy a milkshake and some fries. You look up prices for two different places.
Restaurant 1 sells milkshakes for $4 and fries for $1. Restaurant 2 sells milkshakes for $3 and fries
for $2. At what amount of fries bought will the restaurants be the same price?
Answer:
1 piece of fry
Step-by-step explanation:
Given:
You want to buy a milkshake and some fries. You look up prices for two different places.
Restaurant 1 sells milkshakes for $4 and fries for $1. Restaurant 2 sells milkshakes for $3 and fries for $2.
Question asked:
At what amount of fries bought will the restaurants be the same price?
Solution;
Let at [tex]x[/tex] amount of fries bought the restaurants will be the same price.
As you want to buy a milkshake and [tex]x[/tex] fries, the equation will be:-
For Restaurant 1
[tex]4+1\times x[/tex]
For Restaurant 2
[tex]3+2\times x[/tex]
Now, at [tex]x[/tex] amount of fries bought the restaurants will be the same price.
[tex]4+x=3+2x\\ \\ By\ subtracting\ both\ sides\ by\ 3\\ \\ 4-3+x=3-3+2x\\ \\ 4-3+x=2x\\ \\ 1+x=2x\\ \\ By\ subtracting\ both\ sides\ by\ x\\ \\ 1+x-x=2x-x\\ \\ 1=x[/tex]
Therefore, at 1 piece of fry bought the restaurants will be the same price.
what is the coordinate if (2,2) is reflected over x=2
Answer:
2,-2
Step-by-step explanation:
Its pretty simple, all you have to do is find opposite of y and put it.
Find the 5th term of the
sequence: -8,-1, 6, 13...
Answer:
20
Step-by-step explanation:
We need to determine what we are adding each time.
Take the 2nd term and subtract the first term
-1 - (-8)
-1 +8 = 7
We add 7 each time
To find the 5th term, add 7 to the 4th term
the 4th term is 13
13+7 = 20
Answer:
20
Step-by-step explanation:
a = -8
d = -1 - (-8) = 7
An = a + (n - 1)d
A5 = -8 + (5 - 1)(7)
A5 = -8 + 28
20
Which could be the dimensions of a rectangular prism whose surface area is less than 160 square feet? Select two options.
8 feet by 4 feet by 3 feet
7 feet by 6 feet by 4 feet
3 feet by 7 feet by 8 feet
3 feet by 6 feet by 7 feet
3 feet by 5 feet by 7 feet
Answer:
First answer and last
Step-by-step explanation:
Explanation on paper
I got the first and last right
Second last question what is the area of this compound shape?
Answer:
43.13 yd squared
Step-by-step explanation:
This is a figure composed of a semicircle and a right triangle.
Triangle:
The area of a triangle is denoted by A = (1/2) * B * h, where b is the base and h is the height. Here, the base is actually also the radius of the semicircle, which is 4. The height is 9. Plug these in: A = (1/2) * 4 * 9 = 36/2 = 18 yd squared.
Semicircle:
The area of a semicircle is denoted by A = [tex](1/2)\pi r^{2}[/tex], where r is the radius. Here the radius is 4. So: A = [tex](1/2)\pi *4^{2}=8\pi[/tex] ≈ 25.13 yd squared.
Adding these up: 18 + 25.13 = 43.13 yd squared
Hope this helps!
Answer:
43.12 yd²
Step-by-step explanation:
Semicircle + triangle
½×pi×r² + ½×b×h
½(3.14)(4²) + ½(4)(9)
43.12 yd²