The correct statement for the given description is [tex]\dfrac{n^3}{16}-2+8[/tex], while the value of the expression for x = 4 is 10.
What is a linear equation?A linear equation is one in which the variable's maximum power is always 1. A one-degree equation is another name for it.
The description of the statement is:
"Two less than the quotient of a number cubed and sixteen, increased by eight"and n = 4Now, the given statements of the problem can be written as,
"Two less than x" describes "x- 2" "Quotient of x and y" describes "x increased by y" describesFurther, by combining all three statements, [tex]\dfrac{n^3}{16}[/tex] is the quotient and 2 is subtracted and 8 is increased which means 8 is added.
Thus, the resultant expression is [tex]\dfrac{n^3}{16}-2+8[/tex].
Evaluating the obtained expression at n=4,
Replace n with 4 and evaluate the expression as follows.
[tex]\dfrac{n^3}{16}-2+8|_{n=4} = \dfrac{4^3}{16}-2+8 = 4+6 =10[/tex]
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Quincy ordered a meal at a restaurant for $9.85. After a tax
of 3.3% was added, he added a 22% tip.
How much did Quincy pay?
Answer:
$12.42
Step-by-step explanation:
so the meal itself was $9.85
9.85*3.3% approximately equals $0.33
9.85+0.33=10.18
10.18*22% approximately equals $2.24
10.18+2.24=12.42
Therefore the answer is $12.42
n - 5 = 3n + 1
solve for n.
Answer:
-3
Step-by-step explanation:
n-5=3n+1
3n-n= -5-1
2n= - 6
n=-3
Question 4 of 10
Which set of values could be the side lengths of a 30-60-90 triangle?
the right answer is c
The table shows the average number of hours of daylight per day for the last four months of the year. A 2-column table with 4 rows. The first column is labeled month of year with entries 9, 10, 11, 12. The second column is labeled average hours of daylight per day with entries 12. 37, 11. 37, 10. 57, 10. What is the correlation coefficient for the data in the table? –0. 993 –0. 791 0. 791 0. 993.
Answer:
a is the correct option
Step-by-step explanation:
The value of the correlation coefficient is -0.993, The correct option is A.
What is the Correlation Coefficient?The coefficient used to determine how strong is the relation between the two variables in the data set is the Correlation Coefficient.
The correlation coefficient is determined by using the following formula
[tex]\rm r = \dfrac{ n(\sum xy) - \sum x\sum y}{\sqrt {n\sum x^2 - (\sum x)^2 }\sqrt{n\sum y^2 - (\sum y)^2}}[/tex]
The values of the required data will be calculated from the data given
n = 4 rows
∑x = 42
∑y = 44.37
∑xy = 461.3
∑x^2 = 446
∑y^2 = 494
Putting the values in the equation of correlation coefficient:
r = -0.993
Therefore, the value of the correlation coefficient is -0.993, The correct option is A.
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2. Can a triangle have 2 obtuse angles?
Explain
If 11% of people are left handed, and there are 484 students and 45 adults at our school, approxumately how many people are left handed?
Answer:440
Step-by-step explanation:
Can anyone tell me what median,mode, and mean is? thanks :)
Answer:
The mean (average) of a data set is found by adding all numbers in the data set and then dividing by the number of values in the set.
The median is the middle value when a data set is ordered from least to greatest.
The mode is the number that occurs most often in a data set.
Step-by-step explanation:
Pls, choose me as brainliest!
Exterior Angles. Please help my homework is due tomorrow
just need this &' three more .
Answer:
3(x-4)=6x-2(x+3)
3x-12=6x-2x-6
3x-12=4x-6
3x-4x=-6+12
-x=6
:.x=-6
✿[tex]\underline{\textbf{\textsf{ \purple{Solution}:- }}}[/tex]
[tex]\sf{\\}[/tex][tex]\sf3(x - 4) = 6x - 2(x + 3)[/tex] [tex]\longrightarrow \sf3x - 12 = 6x - 2x - 6 [/tex] [tex]\longrightarrow\sf3x - 12 = 4x - 6[/tex] [tex]\longrightarrow\sf3x - 4x = 12 - 6 [/tex]
[tex]\longrightarrow\sf -x = 6[/tex]
[tex]\leadsto \underline{\boxed{\mathfrak{ \pink{x = -6} }}} [/tex]
9
Rita buys a box of chocolates.
(Extra)
For every 2 plain chocolates there are 3 milk chocolates.
There are 30 chocolates in the box.
How many milk chocolates are there?
Show your method
Answer:
12 plain and 18 milk
Step-by-step explanation:
convert it to fraction first: 2/5 are plain and 3/5 is milk
30÷5= 6
2x6=12
3x6=18
to check wheter or not it is correct add the amount. if it gets the total, it is correct.
3
Which of the following is a rational number?
O A. 66
OB.
7
OC. 36
OD.
V40
You deposit $450 in an account that pays
6% interest compounded yearly. What is
the account balance after 6 years?
Answer:
638.33
Step-by-step explanation:
[tex]450(1+.06)^6[/tex]
please rate and mark as brainles.t
2a - 5 > 3 please help ASAP :)))
Answer:
a>4
Step-by-step explanation:
Barbara is buying 4 binders, and each binder costs the same amount. She uses a coupon that gives her $3 off for the total purchase price of the binders. Barb pays a total of $11 when the value of the coupon is subtracted. Which equation shows how to find p, the original price of each binder?
Answer:
Equation is 4 p-3=11
Step-by-step explanation:
Barbara is buying 4 binders each cost same amount.
Let the cost of 1 binder is '$p'.
So, cost of 4 binders = $4 p.
Now, a coupon that gives her $3 off.
So, Barb needs to pay 4 p-3 dollars.
Barb pays a total of $11 when the value of the coupon is subtracted.
So, we can set up equation as
4 p-3=11
if a and b are integers, what conditions would make a×b >0?
Answer:
If a and b are either both positive integers or both negative integers
Step-by-step explanation:
If a and b are both positive integers (a>0 and b>0), then the product will obviously be a positive number. Additionally, if both terms are negative (a<0 and b<0), the product of two negative integers is positive and will satisfy the condition.
Integers are numbers without decimal points.
The conditions that would make [tex]\mathbf{a \times b > 0}[/tex] are: a, b > 0 or a, b < 0
From the question, we have:
[tex]\mathbf{a \times b > 0}[/tex]
Divide both sides by a
[tex]\mathbf{b > 0}[/tex]
Divide both sides by b
[tex]\mathbf{a > 0}[/tex]
The above means that, for [tex]\mathbf{a \times b > 0}[/tex] to be true, then [tex]\mathbf{a > 0}[/tex] and [tex]\mathbf{b > 0}[/tex]
Another possible condition is that:
[tex]\mathbf{a \times b > 0}[/tex]
Divide both sides by -a
[tex]\mathbf{b<0}[/tex]
Divide both sides by -b
[tex]\mathbf{a<0}[/tex]
The above means that, for [tex]\mathbf{a \times b > 0}[/tex] to be true, then [tex]\mathbf{a<0}[/tex] and [tex]\mathbf{b<0}[/tex]
Hence, the condition that would make [tex]\mathbf{a \times b > 0}[/tex] true is that: a and b have the same sign
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can someone solve this quick? i wanna check if i solved it correctly
Answer: [tex]x \le 9[/tex]
x is less than or equal to 9
on a keyboard you would write x <= 9
===========================================
Explanation:
We have a closed circle at x = 9. This means we include this endpoint as part of the shaded region. We will have "or equal to" as part of the inequality sign.
We also have "less than" as part of the inequality sign since we shade to the left. Values in the shaded region (eg: 2, 3, and 4) are either less than 9 or equal to 9.
So that's why the graph represents [tex]x \le 9[/tex]
----------------
Extra info:
If you want to write that in interval notation, then you would say [tex](-\infty, 9][/tex]
The curved parenthesis says to exclude the endpoint. We can't ever reach infinity so we cannot possibly include it as a number.
The square bracket says to include the endpoint.
27. The perimeter of a rectangle is 46 inches. If the width of the rectangle is 11 inches, what is
the length?
A. 12 in
B. 23 in
C. 35 in
D. 24 in
Answer:
12
Step-by-step explanation:
perimeter is (a+b) x 2 = 46
a is width and b is length
a=11
(11+b) x 2 = 46
22 + 2b = 46
2b = 24
b = 12 ( length )
Solution:
We know that:
Width of rectangle = 11 inchesPerimeter of rectangle = L + B + L + B = 2L + 2BSubstitute the width in the expression:
2L + 2B = Perimeter2L + 2(11) = 46 inSimplify the LHS:
2L + 22 = 46 inSubtract 22 both sides:
2L = 46 - 222L = 24Divide 2 both sides:
2L/2 = 24/2L = 24/2 = 12 inPLEASE HELP ME
the function f(x)=x^2 is transformed to the function g(x)=2(x-2)^2 +1
I already did a just need help sketching the original graph please review the picture I made It easy
Answer:
f(x) → f(x - b) means shift the function b units to right
Therefore x² → (x - 2)² means the function is moved 2 units to the right.
f(x) → a f(x) means a vertical stretch
Therefore (x - 2)² → 2(x - 2)² means the function stretched vertically by a scale factor of 2.
f(x) → f(x) + b means shift the function b units up
Therefore 2(x - 2)² + 1 means the function is moved 1 unit up.
Attached diagram:
f(x) is shown in black, g(x) is shown in red.
Points to help plot graph f(x):
(-3, 9) (-2, 4) (0, 0) (2, 4) (3, 9)
Points to help plot graph g(x):
(0, 9) (2, 1) (4, 9)
Linear, Quadratic, or Exponential.
please number the answers!
What’s 3/45 divided by 4000/5467
Answer:
Here is the answer.
Step-by-step explanation:
what is 26*46-14
[tex]26 \times 46 - 14 = [/tex]
Answer: 1182
Step-by-step explanation:
Click to select the figure in the image that would portray the rotation of the given preimage. The arrow represents both the direction and angle measure of the rotation.
Pre-image:
Image:
Based on the First image, the correct option is the fourth image while based on the second image, the correct option is the fourth image also.
Wat is the rotated in the above direction about?Given that the pre-image is rotated in the direction of the arrow as seen an the first image.
It is required to find the image formed also in that given direction.
Based on the fact that the arrow is rotating counter-clockwise, we get that, the shape of the pre-image will also rotate upwards towards the left hand side of the image shown.
So, based on the options (Taking the 1st image as pre-image), we have,
The fourth image where the shape is at the highest height will be the the fourth image after rotating the pre-image.
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I dont understand this someone help please
Hello
3 + 5 + 7 = 15
cups of tomato = 105 x 5/15 = 35
Answer:
49
Step-by-step explanation:
sum the parts of the ratio, 3 + 5 + 7 = 15 parts
divide cups of salsa by 15 to find value of one part of the ratio
105 ÷ 15 = 7 ← value of 1 part of the ratio , then
7 parts = 7 × 7 = 49
49 cups of tomato are required
ILL MARK BRAINILEST (100 POINTS) !!! Factor the polynomial 7xy + 14x − 35y − 70 completely. 7(2x − 5)(y + 2) 7(x − 5)(y + 2) 7(x − 2)(y + 5) 7(x − 10)(y + 2)
Answer:
B. 7(x − 5)(y + 2)
Explanation:
A. 7(2x − 5)(y + 2) = 14xy + 28x − 35y − 70 (Wrong)
B. 7(x − 5)(y + 2) = 7xy + 14x − 35y − 70 (Correct)
C. 7(x − 2)(y + 5) = 7xy + 35x− 14y − 70 (Wrong)
D. 7(x − 10)(y + 2) = 7xy + 14x − 70y − 140 (Wrong)
2nd one
Let's verify
[tex]\\ \rm\Rrightarrow 7(x-5)(y+2)[/tex]
[tex]\\ \rm\Rrightarrow 7(xy-5y+2x-10)[/tex]
[tex]\\ \rm\Rrightarrow 7xy-35+14x-70[/tex]
Verified
How to Simplify 4y^2 x y^3?
Answer:
4y⁵
Step-by-step explanation:
xⁿ·xⁿ = xⁿ⁺ⁿ
1). 4y²·y³
2). 4(y²·y³)
3). 4y²⁺³ = 4y⁵
Which statement best describes what the graph shows?
A. As speed increases, kinetic energy stays the same.
B. As kinetic energy increases, speed decreases exponentially
C. As speed decreases, kinetic energy doubles each time.
D. As speed increases, kinetic energy increases exponentially
Answer:B
Step-by-step explanation:Why because kinetik energy is moving and since its a curve line instead of straigh the speed will decrease
Sorry if I am wrong
NEED HELP ASAP! THANK YOU!
To get to Checkpoint C, Helena needs to run north 6 units, crawl through a 4-unit-long tube to the east, hopscotch south 3 units, jump 1 unit to the east, and run south 3 units.
1. Since she began at Checkpoint B, what are the coordinates for Checkpoint C?
2. What would be an easier way to get from Checkpoint B to Checkpoint C?
3. How might you be able to figure this out just by reading the description of the translations? (Hint: It may help you to plot these points on a graph or draw a picture.)
Helena's motions, including the 6 units north, 4 and 1, east, 3 and 3 south gives;
(5, 0)5 units to the southAdding the motions based on their directionsHow can the position of Helena be found?1. Let the coordinates of checkpoint B be (0, 0), using vectors, we have;
[tex]6 \times j \: + 4 \times i - 3 \times j \: + i - 3 \times j = 0 \times j \: + 5 \times i[/tex]
The coordinates of checkpoint C is therefore; (5, 0)
2. The easier way to get to checkpoint C from point B is to go south 5 units.
3. How it is possible to figure out the shortest route is by taking the northwards and eastwards motions as positive numbers, and the motions to the south as negative.
The motions to the north can only be added to the motions to the south (motions in the same straight line) and the motions towards east are to be added to themselves.
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Answer:
5, 0
5 units south
adding motions based on direction
Step-by-step explanation:
Find the value of x so the function has the given value.
f(x) = 3x - 4; f(x) = 17
Please HELP
Answer: 7
Step-by-step explanation:
To find the value of x, we can set the f(x) of each equation equal, so we get
3x - 4 = 17
+ 4 +4
3x = 21
x = 7 [Divide 3 by both sides]
Find B in degrees. PLEASE HELP. MARKING BRAINLIEST!!!
Answer:
28.61
Step-by-step explanation:
[tex]tan^{-1} (6/11)[/tex]
I don’t understand the question m
Answer:
It equals 77 degrees