Answer:
[tex]x=\dfrac{6}{7}[/tex]
Step-by-step explanation:
A serving of a frozen casserole is 1/6 of a pan.
Vicky is 1/7 of the pan
We need to find the fraction of a serving has Vicky eaten. Let he has eaten x. It means (1/6) of x is equal to (1/7).
ATQ,
[tex]\dfrac{1}{6}x=\dfrac{1}{7}\\\\x=\dfrac{6}{7}[/tex]
So, he has eaten (6/7) of a serving Vicky eaten.
Work out the first four terms and the 10th term of the quadratic
sequence with
a T(n) = 2n2 + 4
b T(n) = 3n2-3
c T(n) = -3n2 + 7
d T(n) = 4n? -5
Answer:
a. The first four terms and the 10th term are 6, 12, 22, 36, ......., 204
b. The first four terms and the 10th term are 0, 9, 24, 45, ......., 297
c. The first four terms and the 10th term are 4, -5, -20, -41, ......., -293
d. The first four terms and the 10th term are -1, 11, 31, 59, ......., 395
Step-by-step explanation:
a.
∵ T(n) = 2n² + 4 is the rule of the sequence, where
n is the position of the number in the sequence∴ For the first term, n = 1
→ Substitute n by 1 in the rule above to find T(1)
∵ T(1) = 2(1)² + 4 = 2(1) + 4 = 2 + 4
∴ T(1) = 6
→ For the second term, n = 2
∵ T(2) = 2(2)² + 4 = 2(4) + 4 = 8 + 4
∴ T(2) = 12
→ For the third term, n = 3
∵ T(3) = 2(3)² + 4 = 2(9) + 4 = 18 + 4
∴ T(3) = 22
→ For the fourth term, n = 4
∵ T(4) = 2(4)² + 4 = 2(16) + 4 = 32 + 4
∴ T(4) = 36
→ For the tenth term, n = 10
∵ T(10) = 2(10)² + 4 = 2(100) + 4 = 200 + 4
∴ T(10) = 204
The first four terms and the 10th term are 6, 12, 22, 36, ......., 204
b.
∵ T(n) = 3n² - 3 is the rule of the sequence
→ For the first term, n = 1
∵ T(1) = 3(1)² - 3 = 3(1) - 3 = 3 - 3
∴ T(1) = 0
→ For the second term, n = 2
∵ T(2) = 3(2)² - 3 = 3(4) - 3 = 12 - 3
∴ T(2) = 9
→ For the third term, n = 3
∵ T(3) = 3(3)² - 3 = 3(9) - 3 = 27 - 3
∴ T(3) = 24
→ For the fourth term, n = 4
∵ T(4) = 3(4)² - 3 = 3(16) - 3 = 48 - 3
∴ T(4) = 45
→ For the tenth term, n = 10
∵ T(10) = 3(10)² - 3 = 3(100) - 3 = 300 - 3
∴ T(10) = 297
The first four terms and the 10th term are 0, 9, 24, 45, ......., 297
c.
∵ T(n) = -3n² + 7 is the rule of the sequence
→ For the first term, n = 1
∵ T(1) = -3(1)² + 7 = -3(1) + 7 = -3 + 7
∴ T(1) = 4
→ For the second term, n = 2
∵ T(2) = -3(2)² + 7 = -3(4) + 7 = -12 + 7
∴ T(2) = -5
→ For the third term, n = 3
∵ T(3) = -3(3)² + 7 = -3(9) + 7 = -27 + 7
∴ T(3) = -20
→ For the fourth term, n = 4
∵ T(4) = -3(4)² +7 = -3(16) + 7 = -48 + 7
∴ T(4) = -41
→ For the tenth term, n = 10
∵ T(10) = -3(10)² + 7 = -3(100) + 7 = -300 + 7
∴ T(10) = -293
The first four terms and the 10th term are 4, -5, -20, -41, ......., -293
d.
∵ T(n) = 4n² - 5 is the rule of the sequence
→ For the first term, n = 1
∵ T(1) = 4(1)² - 5 = 4(1) - 5 = 4 - 5
∴ T(1) = -1
→ For the second term, n = 2
∵ T(2) = 4(2)² - 5 = 4(4) - 5 = 16 - 5
∴ T(2) = 11
→ For the third term, n = 3
∵ T(3) = 4(3)² - 5 = 4(9) - 5 = 36 - 5
∴ T(3) = 31
→ For the fourth term, n = 4
∵ T(4) = 4(4)² - 5 = 4(16) - 5 = 64 - 5
∴ T(4) = 59
→ For the tenth term, n = 10
∵ T(10) = 4(10)² - 5 = 4(100) - 5 = 400 - 5
∴ T(10) = 395
The first four terms and the 10th term are -1, 11, 31, 59, ......., 395
can someone help me with this please? asap
Answer:
C
Step-by-step explanation:
8^2-3^2=x^2
root x= root 55
I neeeeed the answer ASP ILL GIVE BRAINLY
Answer:
Tree farm A mean = 8
Tree farm B mean = 8
Tree farm B
Step-by-step explanation:
Average the numbers
Shun bought an MP3 player that usually sells for $68 at a
discount of 15%. What did Shun pay for the discounted
MP3 player?
Answer:
$57.8
Step-by-step explanation:
68 (Original Price) x 0.15 (Discount in %) = $10.2 (Discount Amount)
68 - 10.2 = 57.8
Answer:
$55.8
Step-by-step explanation:
68 times %15 = 10.2 so subtract 68 by 10.2 and that = 55.8
what are the coordinates of the intercepts
Answer:
Buy ram 3500 Laramie Longhorn
Step-by-step explanation:
Answer:
negative one is ti on the y axis
4x + 6 = 8x – 10 graphing
Answer:
Step-by-step explanation: First things first, you have to have the variables on one side. To do that, subtract 4x from each side.
4x + 6 = 8x - 10
-4x -4x
Now you have your equation that is ready to graph.
6 = 4x - 10
Use a graphing calculator and put in the equation. You can also go to desmos.com
When you are done you will see your graph as well as the answer.
Solve for y.
-2 = y – 14
-2
what is the answer to the question? Need help asap
When I solve (1 + 5n^4 + n^2) + (8n^4 - 4 - n^2), is the answer -3 + 13n^4 + n^2 or just -3 + 13n^4
Answer:
Just -3 + 13n^4
Step-by-step explanation:
What number goes in the box to show the
distributive property?
3(2 + 8) = 3 x 2 + X 8
6
2
B
8
Answer:
3 because 3 x 2 + 3 x 8 = 30 and 3(2+8)=30
Solve the system of equations..
y= 2x +42
y=8x
Answer:
x=7
Step-by-step explanation:
set up the equation equal to each other
8x=2x+42
subtract 2x from 8x.
equation should look like: 6x=42
divide 6x by 42
equal x=7
Answer:
x = 7
y = 56
Step-by-step explanation:
Sub y = 8x into first equation
8x = 2x + 42
Rearrange by collecting like terms
8x - 2x = 42
6x = 42
x = 7
Sub x = 7 into second equation
y = 8*7
y = 56
What does CPTCTC stand for?
Answer:
Corresponding parts of coungruent triangles are congruent
Step-by-step explanation:
when you have two triangles and you have proved they are congruent, then each part of one triangle (side, or angle) is congruent to the corresponding part in the other.
Would you use the mean or the median to summarize the typical weight of a pumpkin in this contest?
Explain.
Please help me I have no clue how to do this
Answer:
Try the answer B.
Step-by-step explanation:
what does a “mirror view” mean
Answer:
In mirror view, when you look at your self-view video, your video appears as if you were looking at your reflection in a mirror. The left and right sides of your image appear to be reversed.
Answer:
It means when a person can only see straight and not on the sides. For example, when you are looking at the computer screen, you also see things around it on the sides. By if a person has mirror view, the he only see only the thing directly in front of him and nothing else.
Step-by-step explanation:
Which of the following fractions is 4/7 equivalent to ?
6/9
8/14
2/3
8/21
Answer:
8/14
Step-by-step explanation:
8/14 simplifies to 4/7.
[tex]\frac{8}{14}=\frac{8/2}{14/2}=\frac{4}{7}[/tex]
Hope this helps.
The fraction that is equivalent to 4/7 among the given set of fractions is 8/14
Equivalent of fractionsFrom the question, we are to determine the fraction that is equivalent to 4/7
To determine this, we will reduce each of the given fractions to their lowest terms where possible
For 6/9Dividing both the numerator and denominator by 3, we get
2/3
∴ 6/9 is not equivalent to 4/7
For 8/14Dividing both the numerator and the denominator by 2, we get
4/7
∴ 8/14 is equivalent to 4/7
For 2/3This is the lowest form of this fraction and it is not equivalent to 4/7
For 8/21This is the lowest form of this fraction and it is not equivalent to 4/7
Hence, the fraction that is equivalent to 4/7 among the given set of fractions is 8/14.
Learn more on Equivalent fractions here: https://brainly.com/question/2342090
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Allison works in a department store selling clothing. She makes a guaranteed salary of $350 per week, but is paid a commision on top of her base salary equal to 15% of her total sales for the week. How much would Allison make in a week in which she made $300 in sales? How much would Allison make in a week if she made xx dollars in sales?
how to do exponents
Answer:
I- I’m sorry I can’t help
Step-by-step explanation:
Answer:
395
If xx dollar then she will earn 350+ (0.15*xx)
~~~~~~~~~~~~~~~~~~~~
Double Check :)
Find the answer to the question below
Ben deposited $6,500 in a simple interest account that pays 2.8% interest annually. If Ben leaves the money in the account for 12 years, how much interest will he earn?
Answer:
0.336?
Step-by-step explanation:
If -2x -4 = -4x + 3, then does x = 3
Answer:
No it doesn't.
Step-by-step explanation:
2. This model represents an equation
(a) Write an equation that could be used to solve x.
(b) Solve the equation for x. Show your work
ILL GIVE YOU BRAINLIEST
Answer:
i believe its A. hope that helps
Step-by-step explanation:
Answer to The model represents the quotient of two fractions equation does this model represent
PLEASE HELP ASAPPPPPPPPPPP
Answer:
3 inches.
Step-by-step explanation:
72 / 24 = 3.
hope that helps!
True or false? The circle above is 4 Square units.
Here you go :)
Hey, don't second guess yourself ok, you got this!!
The answer is True
________
Answered by James
El triángulo que usamos en las funciones trigonométricas es
Trigonometric functions are commonly defined as the quotient between two sides of a right triangle, associated with its angles. Trigonometric functions are functions whose values are extensions of the trigonometric reason concept in a right triangle plotted in a unit circumference (radius unit).
the complement angle of 40 degree is
Answer:
50 degree angle
Step-by-step explanation:
Complementary angles add up to 90 degrees
what is the difference between an equal sign and an inequality sign?
Inequality sign means not equal (not same value)
Equal sign means equal (same value)
Answer:
Inequality is greater than, greater than or equal to, less than, or less than or equal to between two numbers or algebraic expressions
and equal is the sum of the problem
Step-by-step explanation:
HELP!!
Given h(x) = 4x – 1, solve for x when h(x) = -9.
Answer:
-2
Given:
h(x) = -9
Step-by-step explanation:
h(x) = 4x - 1
-9 = 4x - 1
-9 + 1 = 4x
-8 = 4x
-8/4 = x
x = -2
hope you understood❤
The solution for x when h(x) = -9 is -2
What is a linear equation?A linear equation is an equation that has the variable of the highest power of 1. The standard form of a linear equation is of the form Ax + B = 0. A mathematical equation is a statement with two equal sides and an equal sign in between. An equation is, for instance, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively
Given;
h(x) = 4x – 1...(1)
h(x) = -9
Substituting the value of h(x) in equation 1
-9=4x-1
-9+1=4x
-8=4x
x=-8/4
x=-2
Therefore, the solution for the equation will be x=-2
Learn more about linear equations;
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i need help finding the value of n
Answer:
lakes 24
Step-by-step explanation:
Someone helppp pleasee
Answer:
Smaller
Step-by-step explanation:
the answer to 7 x 1/3 is 7/3 which is 2.333 in decimal form
therefore, 2.333 is smaller than 7
hopefully i was of help! :)
QRS contains the points: Q(4, 2) R(5, 1) S(3, 7). If the triangle is reflected across the y-axis, what will S' be? ANDWER ASAP WILL GIVE BRAINLEST!!
Answer:
S'(-3, 7)
Step-by-step explanation:
The coordinate of point S' will be (-5, 1).
What is reflection?A reflection is a mirror image of the shape. An image will reflect through a line, known as the line of reflection.
What is the rule to find the reflection of a point in y-axis?The rules for finding the reflection of a point in y-axis are:
(i) Change the sign of abscissa, i.e. x-coordinate.
(ii) Retain the ordinate i.e., y-coordinate.
Therefore, when a point is reflected in the y-axis, the sign of its abscissa changes.
According to the given question.
We have a triangle QRS.
The coordinates of points Q, R, and S are (4, 2), (5, 1) and (3, 7) respectively.
Since, the triangle QRS is reflected across the y-axis .
Therefore, the coordinate of S' is given by
The sign of abscissa or x-coordinate of (5, 1) changes so, 5 changes to -5.
And the ordinate i.e. 1 will remain same.
Therefore, the coordinate of point S' will be (-5, 1).
Find out more information about reflection here:
https://brainly.com/question/11453535
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Task: 4 2/3 yards = ? feet
whats the rule
Answer:
4 2/3 yards = 14 feet
Step-by-step explanation:
1 yard = 3 feet