Answer:
164.4
Step-by-step explanation:
m<ABC = m<ABK + m<KBC
17x + 8 = 42 + 12x - 4
17x - 12x = 42 - 4 + 8 add like terms
5x = 46 divide both sides by 5
x = 9.2 now replace x with 9.2 in 17x + 8
17*9.2 + 8 = 164.4
What is the slope of the line graph above?
Which points are solutions to the system of inequalities shown below?
Check all that apply.
y>x
y> 2
X>4
A. (6,4)
B. (4,2)
C. (8,1)
D. (9,-2)
E. (9, 10)
F. (5,6)
Answer:
F
Step-by-step explanation:
y should be greater than x and greater than 2.
x should be greater than 4 but less than y
Need help of this!! Domain and range!!
Answer:
its the first one
Step-by-step explanation:
Solve the problem.
An initial investment of $930 is appreciated for 19 years in an account that earns
6% interest, compounded continuously. Find the amount of money in the
account at the end of the period.
$1275.35
$22,067.28
$12,424,545.93
$2907.89
Answer:
$2907.89
General Formulas and Concepts:
Symbols
e (Euler's number) ≈ 2.71828Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra i
Compounded Continuously Formula: [tex]\displaystyle A = Pe^{rt}[/tex]
P is principle amountr is ratet is timeStep-by-step explanation:
Step 1: Define
Identify variables
P = 930
t = 19
r = 6% = 0.06
Step 2: Find Interest
Substitute in variables [Compounded Continuously Formula]: [tex]\displaystyle A = 930e^{19 \cdot 0.06}[/tex][Exponents] Multiply: [tex]\displaystyle A = 930e^{1.14}[/tex]Evaluate exponents: [tex]\displaystyle A = 930(3.12677)[/tex]Multiply: [tex]\displaystyle A = 2907.89[/tex]What is the image point of (4, 6) after the
transformation T5,2 O ry=-x?
Answer:
The image point is (-1,-2)
Step-by-step explanation:
Firstly, we have to reflect the given point over the line y = -x after which we perform the translation using the coordinate (5,2)
Mathematically;
If we reflect a point (x,y) over the line y = -x
we have the coordinate change to (-y,-x)
so, (4,6) becomes (-6,-4)
Then for the translation, we add 5 to the new x-axis coordinate, then add 2 to the new y-axis coordinate
we have this as;
(-6 + 5, 2-4) = (-1,-2)
−2(4y+1)=−8y−2??
Does it have one solution, no solution, or infinite?
Step-by-step explanation:
−2(4y+1)=−8y−2
4y+1=4y+1
infinite solutions
Answer:
Infinitely many solutions
Step-by-step explanation:
-2(4y+1)=−8y−2
=> -2(4y)-2(1)= -8y-2
=> -8y-2=-8y-2
=> Infinitely many solutions as x from both sides get cancelled
choose the equation of the line that is parrarel to the y axis
If a + b = 5 and a - b = 9, what is a^2+b^2?
Answer:
=53
Step-by-step explanation:
a=5-b &. a=9+b
combine
5-b=9+b
-4=2b
b= -2
thus, a=7
(-2)^2 + (7)^2
4+49
=53
what is the binomial expansion of (x+1)^5
Answer: "A"
somewhat of a trick question
use pascals triangle (or binomial expansion)
0-1
1-1,1
21,2,1
3- 1,3,3,1
4- 1,4,6,4,1
5- 1,5,10,10,5,1
NOTICE THAT "A" has the 1,5,10,10,5,1 in the 5th row
Step-by-step explanation:
Solve 7x + 6 <3(x - 2).
A. {xlx>-3}
B. {xlx<-3}
C. {xlx<-2}
D. {x1x<0}
Answer:
x<-3
Step-by-step explanation:
help asap ------------
Answer:
(-35, 0)
Step-by-step explanation:
x- intercept => y =0
y = -68, -51, -34, -17, 0
x = -79, -68, -57, -46, -35
(x, y) =>(-35, 0)
please help me which of the following is the quotient of the rational expressions shown below
Answer is C
✔✔✔✔✔✔✔✔✔✔✔✔✔✔✔✔✔
Is offering free credit on a new $30.000 car. You pay $3,000 down and then $900 a month for the next 30 months.
How can you add eight 4s together so that the total adds up to 500?
PLZZ HELPPP
Which matrix equation can be used to solve the system?
x+y=21
5x+4y=20
Answer:
[tex]X= \left[\begin{array}{ccc}-4&1\\5&-1\\\end{array}\right] \left[\begin{array}{ccc}21\\20\\\end{array}\right] \\[/tex]
Step-by-step explanation:
Given the simultaneous equation
x+y=21
5x+4y=20
To write in matrix form, it must be in the form AX= b
X = A⁻¹b
A⁻¹ is the inverse of matrix A
A is a 2by2 matrix
X is the variables
b is a column matrix
The expression will therefore be written as;
[tex]A=\left[\begin{array}{ccc}1&1\\5&4\\\end{array}\right] \\\\|A| = 1(4)- 5(1)\\|A| = 4-5\\|A| = -1\\A^{-1} = -\left[\begin{array}{ccc}4&-1\\-5&1\\\end{array}\right] \\\\A^{-1} = \left[\begin{array}{ccc}-4&1\\5&-1\\\end{array}\right] \\[/tex]
Hence the required product matrix that represent X is;
[tex]X= \left[\begin{array}{ccc}-4&1\\5&-1\\\end{array}\right] \left[\begin{array}{ccc}21\\20\\\end{array}\right] \\[/tex]
Find the missing side of the triangle and leave the answer in simplest radical form
Answer:
it would be radical 7
15 = x²+ 8
x²= 15 - 8
x²= 7 >>>>> radical 7 = x
Step-by-step explanation:
hope it helps
Answer:
x = √7.
Step-by-step explanation:
Using the Pythagoras theorem:
x^2 = (√15)^2 - (2√2)^2
x^2 = 15 - 8
x = √7.
PLEAAASE HELP!!! WILL GIVE BRAINLIEST!!!!!!
Answer:
Compared to a standard cosine function, the graph has a phase shift of [tex]5\pi/6[/tex] to the right, and compared to a sine function it has a phase of shift of [tex]\pi/6[/tex] to the right.
Step-by-step explanation:
The standard cosine function [tex]y=\cos x[/tex] has its maximum (vertex of the interval concave down) intersect with the y-axis. In this case, that part is shifted [tex]\frac{5\pi}{6}[/tex] to the right.
The standard sine function [tex]y=\sin x[/tex] has the point where it crosses its midline intersect with the x-axis. In this case, that part is shifted [tex]\frac{\pi}{6}[/tex] to the right.
What is 25% of 4kg 200g
Step-by-step explanation:
25% of 4kg 200g
25/100 × 4.200
4.200/4
=1.05 kg or 1kg 50g
If the grain pile has a diameter of 60 feet and a height of 13 feet, what is the volume of the grain pile?
Answer:
36,738
Step-by-step explanation:
The first step is to calculate the radius
= 60/2
= 30
Therefore the volume can be calculated as follows
= πr^2h
= 3.142 × 30^2 × 13
= 3.14× 900×13
= 36,738 cubit feet
Hence the volume of the grain pile is 36,738 cubic feet
THIS IS TO HELP OTHER PEOPLE IF THEY FIND THIS QUESTION THIS QUESTION IS ALREADY CORRECT
What is the value of this expression?
[(3+5)⋅2−5]⋅3
Enter your answer in the box.
if (x+y , 2x-3) = (5,3) find the value of x and y. plz answer ASAP!!!
Answer:
x=3
y=0
Step-by-step explanation:
2x-3=3
2x=6
x=3
x+y=3
3+y=3
y=0
Answer:
ans: x= 3 and y= 2
Step-by-step explanation:
equating corresponding order pair,
x + y = 5 and
2x-3 = 3
so x=6/2 I.e
x= 3
putting x in
x + y = 5
y = 5- 3
y = 2
Devon needs to come up with ordered pairs that make up the line for this linear equation 3y - 3x =
12? Which ones would work?
Answer:
Step-by-step explanation:
The given linear equation can be reduced, ending up as
y - x = 4 or y = x + 4
If we choose our own x values, we can calculate the corresponding y value in each case:
x y = x + 4 ordered pairs
0 4 (0, 4)
1 5 (1, 5)
3 7 (3, 7)
-2 2 (-2, 2)
In a standard deck of cards, there are 26 different red cards. How many possible combinations of 5 red cards
are there from those 26 cards?
Step-by-step explanation:
It doesn't matter what order they are drawn in, so youi have a combination problem
26C5
My calculator gives the answer directly,
It is 65780
PQ and QR are 2 sides of a regular 12-sided polygon. PR is a diagonal of the polygon. Work out the size of angle PRQ. You must show your working.
Answer:
15°
Step-by-step explanation:
A regular polygon is a polygon in which all the sides and angles of the polygon are equal to each other.
A regular 12-sided polygon is a polygon with 12 equal sides and angles.
The sum of interior angles of a polygon is given as:
sum = (2n - 4)90; where n is the number of sides of the polygon
For a 12 sided polygon:
Sum of interior angles = (2 * 12 - 4)90 = (24 - 4)90 = 20 * 90 = 1800°
Therefore since all the angles are equal, each angle = 1800° / 12 = 150°
Therefore in the question, ∠PQR = 150° (angle of a 12 sided polygon), ∠PRQ = ∠QPR = x
Therefore in triangle PQR:
∠PQR + ∠PRQ + ∠QPR = 180°
150 + x + x = 180
150 + 2x = 180
2x = 30
x = 15°
∠PRQ = 15°
There are 1,281 souvenir paperweights that need to be packed in boxes. Each box will hold 15
paperweights. How many boxes will be needed?
Answer:
86 boxes
Step-by-step explanation:
2.
What is the slope of the line passing through the points (9,16) and
(3, 4)?
Answer:
2
Step-by-step explanation:
m = rise/run
m = (16-4) / (9-3)
m = 12 / 6 = 2
What is the circumference of a circle with a diameter of 9 inches? (use 22/7 for pi)
28 in.
24 in.
30 in.
27 in.
Answer:
28 inches
Step-by-step explanation:
The circumference is given by
C = pi *d
C = 22/7 ( 9)
C =198/7
=28.28571429 inches
the equation of a straight line is given as 3x+y=7. the slope of this line is
Answer:
The slope is -3 and the y intercept is 7
Step-by-step explanation:
3x+y = 7
We can write the equation in slope intercept form
y = mx+b where m is the slope and b is the y intercept
y = -3x+7
The slope is -3 and the y intercept is 7
I have been stuck on this all day, please explain how to do this
Answer:$3,700
Step-by-step explanation:
Gross sales are the total amount of sales a company earned throughout a specific period of time, without taking into consideration any costs involved with running a business. Gross sales do not factor in expenses related to running a business, also known as cost of goods sold (COGS), which get deducted when calculating net sales. For example, they do not account for costs associated with item production, employee wages, building rent, returns, theft or sales tax.
Gross Sales = $3,700
Gross sales are the total amount of sales a company earned throughout a specific period that is 3700 dollars.
What is income tax?Income tax is a tax applied on individuals or entities concerning income or profit earned by them.
Gross sales are the total amount of sales a company earned throughout a specific period, without taking into consideration any costs involved with running a business.
Gross sales do not factor in expenses related to running a business, also known as cost of goods sold (COGS), which get deducted when calculating net sales.
For example, they do not account for costs associated with item production, employee wages, building rent, returns, theft, or sales tax.
Gross Sales = $3,700
Learn more about sales;
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Pls help with this
Will give brainliest
Answer:
First one 2(x^2-4)
Like that you can do
Step-by-step explanation:
Vote as brainliest
Answer:
4(a). 2(x^2 - 4)
(e). ab(a^2 - b^2)
5(a). (x + 2)^2
(d). (x - 4)^2
6(a). -(3x - )^2
(b). 2(x-5)(x+5)
Step-by-step explanation:
If this helps you, please give brainliest!