5(2)^2-2(7) = 6
6(7+2)/2 = 27
Therefor the correct answer is the < symbol.
I hope this helps! :)
Would anyone be able to help with this? on my review and not sure how to do it
90 degrees - 78 degrees = 12 degrees
cofunction of sin is cos
answer : cos12
The following triangles are similar triangles with some dimensions specified. Find the measures of the other sides.
Answer:
116°
Step-by-step explanation:
(Angle sum property of a triangle = 180°)
angle A + angle C + angle ABC = 180°
66° + 50° + angle BAC = 180°
116° + angle ABC = 180°
angle ABC = 180° - 116°
angle ABC = 64°
angle ABD + angle ABC = 180°
angle ABD + 64° = 180°
angle ABD = 180° - 64°
angle ABD = 116°
So, the measure of the unknown angle is 116°
Kaleb is ordering food for his siblings. Each burger costs $4 and each order of fries cost $2 each. Kaleb wants to spend at most $20. Let x represent burgers and y represent fries. a. Write a linear inequality to find the number of burgers and fries Kaleb can buy.
Answer:
4x + 2y ≤ 20
Step-by-step explanation:
x = burger
y = fries
a. 4x + 2y ≤ 20 at most means ≤
What is an equation of the line that passes through the point (4, −1) and has
slope −5?
Answer:
y + 1 = -5(x - 4)
General Formulas and Concepts:
Algebra I
Point-Slope Form: y - y₁ = m(x - x₁)
x₁ - x coordinate y₁ - y coordinate m - slopeStep-by-step explanation:
Step 1: Define
Identify variables.
Point (4, -1) → x₁ = 4, y₁ = -1
Slope m = -5
Step 2: Find Equation
Substitute in variables [Point-Slope Form]: y - -1 = -5(x - 4)Simplify: y + 1 = -5(x - 4)The sum of a number nd its opposite will always add up to
absolute value?
Answer:
On the number line, a number and its opposite are, predictably, opposite each other. In other words, they are the same distance from zero, but on opposite sides of the number line. The opposite of zero is defined to be simply zero. The sum of a number and its opposite is always zero, as shown in the following example.
What is 2+2=?
PLS HEP ME
I in kindergarden.
Answer:
4
Step-by-step explanation:
You want a cookie?
Answer:
2+2 = 4
Step-by-step explanation:
1+1+1+1 = 4
Hope this helped!
mark me brainliest :D
The total age of a cat, dog, monkey is 4 year 2 month. The dog is twice as old as the cat. The monkey is twice as old as the dog. How old is the monkey?
28 years
Step-by-step explanation:
Co-relating their ages:Let's say, the cat is x years old.The dog is twice as old as the cat
That makes the dog 2x years old.The monkey is twice as old as the dog.
That is, 2 × (2x) = 4x years old- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
Calculating the total:Their total age is 4 years 2 months.
1 year has 12 months
=> 4 years have (4 × 12)
= 48 months
Since, the total age is 4 years 2 months, we can express it in "months" by adding "48" and "2".
= 50 months
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
Solving for x:Sum of their ages = 50 months
=> x + 2x + 4x = 50
=> 7x = 50
=>x = 50/ 7 months
If we write this in mixed fractions the whole number will represent the number of years.
=
[tex] \mathsf{7 \frac{1}{7} \: \: months}[/tex]
[tex] = \mathsf{7 \: years \: \frac{1}{7} \: \: months}[/tex]
The value of 1/ 7 is really small,I.e., 0.1428...
So, we can ignore the fraction while rounding off the term that makes it
[tex] \mathsf{x = 7yrs.(approx.)}[/tex]
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
Recall:x is the age of the cat.
The monkey's age is "4x"
= 4 × 7
= 28 years.
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
Answer:So, the monkey's age is approximately 28 years
Start with x and cube it
Answer:
x to the power of 3
Step-by-step explanation:
-17/2 < -1/2 - 4x ≤ 15/2
Please help helphelphelphelphelphelphelphelphelphelphelphelphelphelphelphelphelp
Given info: -17/2 < (-1/2) - 4x ≤ 15/2
Find the value of x ?
Explanation:↓
Given in-equation is -17/2 < (-1/2) - 4x ≤ 15/2
⇛ -17/2 < (-1-8x)/2 ≤ 15/2
On multiplying with 2 then
⇛ 2(-17/2) < 2(-1-8x)/2 ≤ 2(15/2)
⇛ -17 < -1-8x ≤ 15
On adding 1 in the in-equation then
⇛ -17+1 < -1-8x+1 ≤ 15+1
⇛ -16 < -8x ≤ 16
On dividing by 8 in the in-equation then
⇛ -16/8 < -8x/8 ≤ 16/8
⇛ -2 < -x ≤ 2
⇛ 2 > x ≥ - 2
⇛ -2 ≤ x < 2
⇛ x € [-2,2)
Answer:→The solution set = { x : -2 ≤ x < 2, x€R }
The possible values of x = -2,-1,0,1
If you have any doubt, then you can ask me in the comments.
In the formula D = 1 ÷ f, if f is equal to -0.025, then D is equal to
Whats (c) ????????????? ????
Answer:
11
Step-by-step explanation:
yeah-ya............ right?
Check the picture below.
Does anyone know the answer to this? Please help
Select the table of values that you would use to graph f(x) = 3x2 – 4.
Hello Please help.
The the table of values that you would use to graph [tex]f(x) = 3x^{2} -4[/tex] is option "B"
What is point on graph?A point is the basic relationship displayed on a graph. Each point is defined by a pair of numbers containing two coordinates. A coordinate is one of a set of numbers used to identify the location of a point on a graph.
According to the question
Points on graph for equation :
[tex]f(x) = 3x^{2} -4.[/tex]
Now,
Table of points on graph
x y
-2 8
-1 -1
0 -4
1 -1
2 8
Hence, The the table of values that you would use to graph [tex]f(x) = 3x^{2} -4[/tex] is option "B" .
To know more about points on graph here:
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........................................
Step-by-step explanation:
(x - 11)² = 72x - 11 = ± √72x = 11 ± √72The exact solutions are: x = 11 + √72 and x = 11 - √72
The approximate solutions are: x = 19.49 and x = 2.51
[tex]\\ \sf\longmapsto (x-11)^2=72[/tex]
[tex]\\ \sf\longmapsto x-11=\sqrt{72}[/tex]
[tex]\\ \sf\longmapsto x-11=\pm 8.48[/tex]
[tex]\\ \sf\longmapsto x=11-8.48\:or\:11+8.48[/tex]
[tex]\\ \sf\longmapsto x\approx 2.52\:or\:19.48(Approximate)[/tex]
[tex]\\ \sf\longmapsto x=3\:or\:19(Exact)[/tex]
A moving company charges $450 plus $12 per hour. Another moving company charges $21 per hour. How long is the job that costs the same no matter which moving company is used?
Answer:
50 hours
Step-by-step explanation:
A family gathered 20 small sea shells from the beach brining the total number of small seashells in their collection to 41.
Which equation can be used to find, x, the number of small sea shells in the collection before the 20 were added
A:. 20_x =41
B:. x- 21 =41
C:. x + 20 =41
D:. 20x=41
HELPPPP
EXCEPT PT TH 20_x UNDER EACHOTHER PLS
Answer:
C, x + 20 = 41
Step-by-step explanation:
X represents the number of small sea shells that we originally had. When the family adds 20 more shells, that makes x + 20. The total number is 41, so that means the number of sea shells they already had (x) plus the number of sea shells they collected (20) equals the number of shells they have now (41).
What is the sum in 1 1/3+ 2 1/3 + 3 2/3 + 4 1/2 + 5 1/2 + 6 3/4
Answer:
17.999999999999999
Step-by-step explanation:
Answer:
25 and 1/12
1/3+1/3+2/3+1/2+1/2+3/4 = 4 and 1/12
6+5+4+3+2+1 = 21
Gauge Think! Think! Think! Direction: Choose the letter of the correct answer. Write your answer on a separate sheet of paper. 1. Which of the following decimal is greater than 0.721? A. 0.129 B. 0.192 C. 0.712 D. 0.921 2. Which of the following is correct? A. 0.69 > 0.69 B. 0.013 < 0.31 C. 0.005 = 0.05 D. 0.306 > 0.36 3. How does 6 in 0.2645 compared with 6 in 0.2465? A. 6 in 0.2645 is more B. 6 in 0.2465 is more C. 6 in 0.2645 is less D. They are equal 4. Which set of decimals show from least to greatest? A. 0.01,0.042, 0.087.0.06 B. 0.002, 0.03, 0.85, 0.13 C. 0.006, 0.023, 0.438, 0.9 D. 0.42, 0.1, 0.253, 0.341 5. Which set of decimals show from greatest to least? A. 0.51,0.072, 0.187, .0.06 B. 0.2, 0.103, 0.05, 0.03 C. 0.106, 0.053, 0.238, 0.9 D. 0.82, 0.11, 0.853, 0.041 PLEASE ANWER IT CORRECTLY PLEASE PLEASE PLEASE
Answer:
1. D
2. B
3. The six in the first one is in the tenths place, the second is in the thousandths. But the answer is A.
4. 5, 0.9, 0.85, 0.438, 0.42, 0.341, 0.253, 0.13, 0.1, 0.087, 0.042, 0.03, 0.023, 0.01, 0.006, 0.002, 0 Sorry, I did greatest to least on accident.
5. 0.9, 0.853, 0.82, 0.51, 0.238, 0.2, 0.187, 0.11, 0.106, 0.103, 0.072, 0.053, 0.05, 0.03 greatest to least.
Uhm, sorry if I ordered some wrong on accident.
please help me i will give u a thanks
Answer:
1024
Step-by-step explanation:
because its going by 4
Use a system of equations to find the partial fraction decomposition of the rational expression. Solve the system using matrices.
[tex] \frac{3x ^{2} + 3x - 2 }{(x + 1)^{2} (x - 1)} = \frac{a}{x + 1} + \frac{b}{x - 1} + \frac{c}{(x + 1)^{2} } [/tex]
A=
B=
C=
Combine the fractions on the left with a common denominator:
[tex]\dfrac a{x+1} + \dfrac b{x-1} + \dfrac c{(x+1)^2} = \dfrac{a(x+1)(x-1) + b(x+1)^2 + c(x-1)}{(x-1)(x+1)^2}[/tex]
It follows that
[tex]3x^2+3x-2 = a(x+1)(x-1) + b(x+1)^2 + c(x-1)[/tex]
Expand the right side and collect like powers of x :
[tex]3x^2+3x-2 = a(x^2-1) + b(x^2+2x+1) + c(x-1)[/tex]
[tex]3x^2+3x-2 = (a+b)x^2 + (2b + c)x -a +b - c[/tex]
Then we have the system of equations
[tex]\begin{cases}a+b=3\\2b+c=3\\-a+b-c=-2\end{cases}[/tex]
or in matrix form,
[tex]\begin{bmatrix}1&1&0\\0&2&1\\-1&1&-1\end{bmatrix} \begin{bmatrix}a\\b\\c\end{bmatrix} = \begin{bmatrix}3\\3\\-2\end{bmatrix}[/tex]
Compute the determinant of the coefficient matrix:
[tex]\det\begin{bmatrix}1&1&0\\0&2&1\\-1&1&-1\end{bmatrix} = -4[/tex]
Then the inverse of the coefficient matrix is equal 1/det times the adjugate of the coefficient matrix (a.k.a the transpose of the cofactor matrix):
[tex]\begin{bmatrix}1&1&0\\0&2&1\\-1&1&-1\end{bmatrix}^{-1} = \dfrac1{-4} \begin{bmatrix}-3 & -1 & 2 \\ 1 & -1 & -2 \\ 1 & -1 & 2\end{bmatrix}^\top = -\dfrac14 \begin{bmatrix}3&-1&-1\\1&1&1\\-2&2&-2\end{bmatrix}[/tex]
Multiply both sides of the equation by the inverse :
[tex]\begin{bmatrix}a\\b\\c\end{bmatrix} = -\dfrac14 \begin{bmatrix}3&-1&-1\\1&1&1\\-2&2&-2\end{bmatrix} \begin{bmatrix}3\\3\\-2\end{bmatrix} = \begin{bmatrix}2\\1\\1\end{bmatrix}[/tex]
So, we have a = 2 and b = c = 1, and the partial fraction decomposition is
[tex]\dfrac{3x^2+3x-2}{(x+1)^2(x-1)} = \dfrac 2{x+1} + \dfrac 1{x-1} + \dfrac 1{(x+1)^2}[/tex]
Answer:
A = 2B = 1C = 1Step-by-step explanation:
One can solve for a, b, c a little more directly than using a system of 3 equations.
If we multiply the rational expression by (x+1)², we get ...
(3x² +3x -2)/(x -1) = (x+1)²(a/(x+1) +b/(x-1)) +c
Evaluating this for x = -1 gives ...
(3(-1)² +3(-1) -2)/(-1 -1) = c
-2/-2 = 1 = c
Similarly, multiplying by (x -1) gives ...
(3x² +3x -2)/(x +1)² = (x -1)(a/(x +1) +c/(x +1)²) + b
Evaluating this for x = 1 gives ...
(3·1² +3·1 -2)/(1 +1)² = b
4/4 = 1 = b
Now, we need to find the value of 'a'. The identity will hold true for any value of x, so we can see what happens when we substitute x=0. We can use the values of 'b' and 'c' that we found above.
(3·0² +3·0 -2)/((0 +1)²(0 -1)) = a/(0 +1) +1/(0 -1) +1/(0 +1)²
-2/-1 = a -1 +1 ⇒ a = 2
_____
System of equations solution
When the terms of the right-side expansion are combined, the numerator of the result is ...
a(x +1)(x -1) +b(x +1)^2 +c(x -1) = (a+b)x² +(2b+c)x +(-a+b-c) ≡ 3x² +3x -2
Equating the coefficients gives the system of equations whose augmented matrix is:
[tex]\left[\begin{array}{ccc|c}1&1&0&3\\0&2&1&3\\-1&1&-1&-2\end{array}\right][/tex]
Transforming this to reduced row-echelon form using any of a variety of available tools gives ...
[tex]\left[\begin{array}{ccc|c}1&0&0&2\\0&1&0&1\\0&0&1&1\end{array}\right][/tex]
which tells you the solution is (A, B, C) = (2, 1, 1).
Help help math math math please help help help
Would anyone be able to help with this?
hii the answer would be 57°
The table shows a linear relationship between x and y.
x
-6
-3
1
4
Y
21
13.5
3.5
-4
What is the slope of the line represented by the values in the table?
Pahelp yawa T^T[tex]{\blue{\rule{25pt}{1pt}{\purple{\rule{30pt}{3pt}{\red{\rule{50pt}{5pt}{\purple{\rule{30pt}{3pt}{\blue{\rule{25pt}{1pt} }}}}}}}}}}︎︎︎︎︎︎︎︎ ︎︎︎︎︎︎︎︎[/tex]
pasagut 6-7 lang T^T
sabog na akow HAHAH
6-7
y < -1 -4
x > -4 y ≥+ 2
hope it helps
wait Lang SA 6-7
Answer:
ok ok ok ok ok ok ok ok ok ok ok ok ok ok ok ok
use the correct trig function to find the value of x. (SAH,CAH,TAH)
Answer:
x=13.38
Step-by-step explanation:
Hi there!
We are given triangle ABC, with m<A=45°, CA=13, and BA=x
We want to find the value of x
First, let's find out which side is the adjacent, opposite, and hypotenuse
Using <A as the reference angle:
BC is the opposite
CA is the adjacent
BA is the hypotenuse
Recall the 3 most common trigonometric functions:
Sine is [tex]\frac{opposite}{hypotenuse}[/tex]
Cosine is [tex]\frac{adjacent}{hypotenuse}[/tex]
Tangent is [tex]\frac{opposite}{adjacent}[/tex]
Since we know the values of both the adjacent and the hypotenuse, let's use the cosine of <A
In reference to <A, the ratio will be:
cos(<A)=[tex]\frac{CA}{BA}[/tex]
Substituting all known values gives:
cos(45)=[tex]\frac{13}{x}[/tex]
Now multiply both sides by x
cos(45)x=13
Divide both sides by cos(45)
x=[tex]\frac{13}{cos(45)}[/tex]
Now plug [tex]\frac{13}{cos(45)}[/tex] into your calculator. Make sure that the calculator is in degree mode
x≈13.38
Hope this helps!
The figure below is a prism with a right-triangle base.
What is the surface area of the figure?
Help me please
please help!
Anita’s parents started a Harvard college fund the day she was born. They figured by the time
she was 18, she would need $80 000 to cover four years of post secondary tuition fees. How
much money would they need to deposit on an annual basis from birth to her 18 th birthday, to
achieve this goal? Use a rate of 7%/a compounded annually.
Answer:
320,000
Step-by-step explanation:
80,000$x 4 years == 320,000$
Can 4x + 10 can be simplified to 14x?
Answer:
NO
Step-by-step explanation:
“PEMDAS” (parenthesis, exponents, multiplication, division, addition, subtraction)
so you need to sole 4x and after add 10
solve: |2(x-5)|+11=17
Answer:
x = 8, x = 2
Step-by-step explanation:
|2(x-5)|+11=17
|2(x-5)| = 6
|(x-5)| = 3
x = 8 AND x = 2 because of the absolute value.
Brainliest, please :)
The solution of the given equation will be x = 2 and 8.
What is an expression?
Expression in math is defined as the collection of the numbers, variables and functions by using signs like addition, subtraction, multiplication, and division.
Given that;
The expression is;
| 2 (x - 5) | + 11 = 17
Now, Solve the expression is;
| 2 (x - 5) | + 11 = 17
Subtract 11 both side,
| 2 (x - 5) | + 11 - 11 = 17 - 11
| 2 (x - 5) | = 6
Reduce modulus we get;
2 (x - 5) = ±6
Take positive sign,
2 (x - 5) = 6
x - 5 = 6/2
x - 5 = 3
x = 3 + 5
x = 8
And, Take negative sign,
2 (x - 5) = -6
x - 5 = -6/2
x - 5 = -3
x = 5 - 3
x = 2
Thus, The solution of the given equation will be x = 2 and 8.
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PLEASE HELP ME!!! ASAP SHOW YOUR WORK!!! Given cos x =√15/4 and 90°< x 180°, find the exact value for cos 2x
Answer:
x=34 because you simplify it and then take 45 and at it to it