Answer:
a. -5 + 3x = -41
3x = -36
x = -12
b. 7x - 4 = -2x + 11
9x = 15
x = 15/9 = 1 and 2/3
c. (-4x) / 5 = 8
-4x = 40
x = -10
d. x / 3 - 1/2 = 1/4
4x - 6 = 3 (multiply by lcm of 3, 2 and 4 which is 12)
4x = 9
x = 9/4 = 2 and 1 / 4
e. -4(6x + 1) + 3 = 11 + 2(x + 2)
-24x - 4 + 3 = 11 + 2x + 4
-24x - 1 = 2x + 15
-26x = 16
x = -8/13
Find the value of x. Round the length to the nearest tenth.
Answer:
[tex] x = 5.1 yd [/tex]
Step-by-step Explanation:
Angle of depression is congruent to angle of elevation.
Therefore, angle of elevation of the given figure, which is opposite to x is 25°.
Adjacent length = 11 yd
Opposite length = x
Trigonometric ratio formula for finding x is shown below:
[tex] tan(25) = \frac{opposite}{adjacent} [/tex]
[tex] tan(25) = \frac{x}{11} [/tex]
Multiply both sides by 11 to solve for x
[tex] 11*tan(25) = x [/tex]
[tex] 5.129 = x [/tex]
[tex] x = 5.1 yd [/tex] (to the nearest tenth)
Can you answer these boxes? It's fractions and powers
Answer:
e^4 d^2
-------------------------
b^3
Step-by-step explanation:
b^-3 c^0 d^2
-------------------------
e^-4
Negative exponents flip positions
e^4 c^0 d^2
-------------------------
b^3
c to the zero power is 1
e^4 d^2
-------------------------
b^3
Answer:
d^2 e^4
--------------
b^3
Step-by-step explanation:
Ice is placed around a bowl of water to lower the temperature. The equation D=−75t+22 shows the time, t, measured in minutes and temperature, D, measured in degrees Celsius. Which statement is correct?
Answer:
d) Before cooling begins, the temperature of the water is 22°C
Step-by-step explanation:
Option A
If t=7 minutes
D=-7/5t+22
=-7/5(7)+22
=-49/5+22
=-49+110/5
=61/5
=12.2°C
Change in temperature=12.2°C-22°C
=-9.8°C
Option B
If t=5 minutes
D=-7/5t+22
=-7/5*5+22
=-7+22
=15°
Change in temperature=15°-22°
=-7°
Option C
The temperature of the ice must be less than 22°C
Option D
D=-7/5t+22
When ice is not placed, t=0
D=-7/5t+22
=-7/5(0)+22
=0+22
=22
Temperature of the water before cooling=22°
Answer:
D
Step-by-step explanation:
The radius of a circle is 2 feet. What is the area of a sector bounded by a 180° arc?
Answer:
[tex]\boxed{Area = 3.14 ft^2}[/tex]
Step-by-step explanation:
Radius = r = 2 feet
Angle = θ = π/2 (In radians) = 1.57 radians
Area of Sector = [tex]\frac{1}{2} r^2 \theta[/tex]
Area = [tex]\frac{1}{2} (4)(1.57)[/tex]
Area = 2 * 1.57
Area = 3.14 ft²
Answer:
[tex]\bold{2\pi\ ft^2\approx6,28\ ft^2}[/tex]
Step-by-step explanation:
360°:2 = 180° so the area of a sector bounded by a 180° arc is a half of area of a circle of the same radius.
[tex]A=\frac12\pi R^2=\frac12\pi\cdot2^2=\frac12\pi\cdot4=2\pi\ ft^2\approx2\cdot3,14=6,28\ ft^2[/tex]
What is the x-intercept of the line with the equation y = 3 x minus 6?
a.2
c.-6
b.-2
d.3
Answer:A
Step-by-step explanation:
Can a function have a repeating input
Answer: It Depends
Explanation: Generally, your answer would be no because if you have a repeating input, you usually have a different output for that specific repeating input which would not make it a function.
However, a function can have a repeating input if the same input is paired with the same output and this is listed twice so it's still a function since each input pairs with a unique output.
However, if the input appears more than once, you must check to see whether the output is the same or different.
Given that 8 <y< 12 and 1<x< 6, find the maximum possible value of
x+y/y-x
Answer:
Step-by-step explanation:
y = {9, 10, 11}
x = {2, 3, 4 , 5}
Maximum value of x + y = 11 + 5 = 16
Minimum value of y -x = 9 - 2 = 7
[tex]\frac{x+y}{y-x}=\frac{16}{7}[/tex]
Which expression is equivalent to
Answer:
d) [tex]\frac{13 - 5x}{2x -8}[/tex]
Step-by-step explanation:
Explanation:-
Given expression
[tex]\frac{\frac{3}{x-2}-5 }{2-\frac{4}{x-2} }[/tex]
we will do L.C.M both numerator term and denominator term
⇒ [tex]\frac{\frac{3-5(x-2)}{x-2} }{\frac{2(x-2)-4}{x-2} }[/tex]
on simplification , we get
⇒ [tex]\frac{\frac{13-5x}{x-2} }{\frac{2x-8}{x-2} }[/tex]
cancellation 'x-2'
we will get
[tex]\frac{13 - 5x}{2x -8}[/tex]
please help,
These prisms have different shapes as end faces.
a) Complete this table.
Shape of end face No. of faces No. of edges No. of vertices
Triangle (3 sides) 5
9
6
Rectangle (4 sides)
00
Triangle
Pentagon (5 sides)
15
10
Hexagon (6 sides)
8
18
b) How many edges and vertices does a prism
with a 100-sided end face have?
edges
vertices
Pentagon
Answer:
Step-by-step explanation:
E=300.
V=200.
What is the recursive rule for this geometric sequence? 1/2 ,−2, 8, −32,
Answer:
an = an-1 * -4
Step-by-step explanation:
First we need to find the common ratio
r = second term / first term
= -2/ (1/2) = -4
The recursive formula is
an=an−1 * r
an = an-1 * -4
Which statement illustrates the distributive property?
3 (4 + 5) = 3 (4) + 5
3 (4 + 5) = 3 (4) + 3 (5)
3 left-bracket (4) (5) right-bracket = 3 (4) + 3 (5)
3 left-bracket (4) (5) right-bracket = Left-bracket 3 (4) right-bracket + Left-bracket 3 (5) Right-bracket
Answer:
B. 3(4 + 5) = 3(4) + 3(5)
3 left-bracket (4) (5) right-bracket = 3 (4) + 3 (5)
3 left-bracket (4) (5) right-bracket = Left-bracket 3 (4) right-bracket + Left-bracket 3 (5) Right-bracket
Step-by-step explanation:
Distributive property of multiplication over addition:
a(b + c) = ab + ac
You have
3(4 + 5), so following the pattern above, you should get:
3(4 + 5) = 3(4) + 3(5)
Answer:
b
Step-by-step explanation:
I took the test
SOMEONE HELP PLEASE!! Will make as brainleist!??
Answer:
This is a geometric sequence and the common ratio is equal to ½.
Step-by-step explanation:
For a sequence to be termed to be in arithmetic progression, the difference between consecutive terms are the same and constant.
On the other hand, a sequence is termed to be in geometric progression if the ratio of a term to the term before it is the same as the ratio between the next term to it.
Let's consider the sequence given: 12, 6, 3 . . .
=>Let's try to find the common difference if it would be constant: 6-12 (-6) ≠ 3-6 (-3)
The sequence is not arithmetic.
=>Let's also try to find the ratio of the sequence to see if it is constant:
6/12 (½) = 3/6 (½)
Therefore we can conclude the sequence is geometric because the common ratio (½) is constant.
This is a geometric sequence and the common ratio is equal to ½.
What is the multiple zero and multiplicity of f(x) = (x – 1)(x – 1)(x + 7)?
The zeroes of the function are 1 and 7 and multiplicity for zero 1 is two and for zero 5 is one.
What is polynomial?Polynomial is the combination of variables and constants systematically with "n" number of power in ascending or descending order.
[tex]\rm a_1x+a_2x^2+a_3x^3+a_4x^4..........a_nx^n[/tex]
We have a polynomial function:
f(x) = (x – 1)(x – 1)(x + 7)
We can write it as:
f(x) = (x – 1)²(x + 7)
Here at x = 1 the given function becomes zero and (x-1) repeats two times, so the multiplicity is 2, and for x = -7 the multiplicity is 1.
Thus, the zeroes of the function are 1 and 7 and multiplicity for zero 1 is two and for zero 5 is one.
Learn more about Polynomial here:
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Employee A gets paid $13/hour. He got paid
$5,915 this month. How many hours did he
work? How many hours should he work next
month to earn $7,800?
━━━━━━━☆☆━━━━━━━
▹ Answer
Employee A worked 455 hours this month. He should work 600 hours next month to earn $7,800.
▹ Step-by-Step Explanation
Part A
$5,915 ÷ $13 = 455 hours
Part B
$7,800 ÷ $13 = 600 hours
Hope this helps!
CloutAnswers ❁
Brainliest is greatly appreciated!
━━━━━━━☆☆━━━━━━━
The diagram represents 6x2 – 7x + 2 with a factor of 2x – 1. A 2-column table with 2 rows. First column is labeled 2 x with entries 6 x squared, negative 4 x. Second column is labeled negative 1 with entries negative 3 x, 2. Both rows are labeled with a question mark. What is the other factor of 6x2 – 7x + 2? 3x – 2 3x – 1 3x + 1 3x + 2
Answer:
( 3x -2)
Step-by-step explanation:
6x^2 – 7x + 2
We know that the constant only has factors of 1 and 2
Since the middle term is negative we know that that we are subtracting
A negative times a negative is positive for the final term
A negative plus a negative is negative for the middle term
( -1 ) ( -2)
We have to determine how to break up 6x^2
1x * 6x
2x*3x
3x*2x
6x*1x
We are given that one factor is 2x-1
( 2x -1 ) ( -2)
That means the other factor of 6x^2 is 3x ( 2x*3x)
( 2x -1 ) ( 3x -2)
Answer:
3x-2
Step-by-step explanation:
6x² – 7x + 2= 6x² -3x- 4x + 2= 3x(2x-1)- 2(2x-1)= (2x-1)(3x-2)Factors are:
2x-1 and 3x-2--------------
3x – 2 correct3x – 1 incorrect3x + 1 incorrect3x + 2 incorrectFind an equivalent system of equations for the following system: 3x + 3y = 0 −4x + 4y = −8 PLZ HELP
Answer:
Answer:
3x + 3y = 0
7x - y = 8
Step-by-step explanation:
i need help on this pls
Answer:
a) B
b) C
Step-by-step explanation:
With 8 equal sections, there is 1/8 chance to land on each section.
There are 2 1's, so the chance to land on a one is 2/8 represented by B.
There are 4 2's, so the chance to land on a two is 4/8 represented by C.
Which one of the following numbers is divisible by 11?
A. 924711
B. 527620
C. 320793.
D. 435854
Answer:
320793
Step-by-step explanation:
320793 / 11 = 29163
What are the values of a 1 and r of the geometric series? 1 + 3 + 9 + 27 + 81
Answer:
a₁ = 1; r = 3
Step-by-step explanation:
a₁ represents the first term. It is 1 in this case.
r represents the common ratio between terms. In this case it's 3 / 1 = 3.
Answer:
a1 = 1
r = 3
Step-by-step explanation:
a1 = first term = 1
r = common ratio = 2nd term/1st term
= 3/1
r = 3
A small community organization consists of 20 families, of which 4 have one child,8 have two children, 5 have three children, 2 have four children, and 1 has fivechildren. If one of these families is chosen at random, what is the probability it has`children,`= 1,2,3,4,5?
Answer and Step-by-step explanation:
According to the situation, The probabilities for each one is given below:
As there are 20 families
So the probabilities for each one is
For four families have one child is
[tex]= \frac{4}{20}\\\\ = \frac{1}{5}[/tex]
For eight families have two children is
[tex]= \frac{8}{20}\\\\ = \frac{2}{5}[/tex]
For five families have three children is
[tex]= \frac{5}{20}\\\\ = \frac{1}{4}[/tex]
For two families have four children is
[tex]= \frac{2}{20}\\\\ = \frac{1}{10}[/tex]
For one family have five children is
[tex]= \frac{1}{20}[/tex]
Anyone know please help!!
Answer:
only the inverse is a function
Angle JKL is a right angle. The measure of the angle JKM is 65. The measure of angle MKL is x . What is the value of x?
Answer:
25
Step-by-step explanation:
angle JKM and Angle MKL are supplementary. means, they add to 90degree. So to fing the missing one, just do 90 - 65. you'll get 25.
The angle MKL is equal to 155 which corresponds to the value of x=155.
What is right angle?
The angle equal to 90 degree is called right angle and the triangle in which one angle is equal to 90 is called right angled triangle.
How to find the value of one angle when the value of two angle is given?In the figure we can see that the value of angle JKL is equal to 90, value of angle JKM is 65 and we have been given that angle MKL is equal to x.
From the figure we can see that,
MKL=JKL+JKM
=90+65
=155 degree
Hence the value of x is equal to 155 degree.
Learn more about angles at https://brainly.com/question/25716982
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Mr. Ferrier invested $26,000. Some was invested in bonds that made a 5% profit, and the rest was put in stocks that made an 8% profit. How much did mr. Ferrier invest in bonds if his total profit on both types of investments was $1,420
Answer:
bonds=22000
stock=4000
Step-by-step explanation:
let b for bonds , and s for stock
b+s=26000
0.05 b +0.08 s=1420
to solve (by elimination)
1- multiply first equation with 0.05 to eliminate b
0.05 b+0.05 s=1300
0.05b+0.08s=1420
subtract two equations:
0.05b+0.05s-0.05b-0.08s=1300-1420
-0.03s=-120
s=120/0.03=4000
b+s=26000
b=26000-4000=22000
check:0.05(22000)+0.08(4000)=1420
Answer:
$22000
Step-by-step explanation:
x*0.05+(26000-x)*0.08= 1420
0.05x - 0.08x + 2080= 1420
0.03x=2080 -1420
0.03x= 660
x= 660/0.03
x= 22000
$22000 = 5% bonds
$4000 = 8% stocks
If you are given the graph of h(x) = log6x, how could you graph M(x) = log6(x+3)?
Answer:
Translate 3 units to the left
Step-by-step explanation:
Four-digit numerical codes are issued for an ATM. If no integer can be repeated in a code, how many different codes can be formed using only odd integers?
Answer:
The answer is "120".
Step-by-step explanation:
The assuming numbers:
[tex]0, 1,2,3,4,5,6,7,8,9[/tex]
The odd number are=[tex]1,3,5,7,9[/tex]
Now we have four places:
In the first place we have 5 option
In second place we have 4 option
In third place, we have 3 option
In fourth place, we have 2 option
So, the value is [tex]5 \times 4 \times 3\times 2 \times 1= 120[/tex]
So, we have 120 different codes, which form the code.
How is it that it is (-11/4,-1/2) ?
Answer:
Choice 3
Step-by-step explanation:
A(-5,-1) and B(4, 1)
Distance AB is calculated as x²+y², where x= 4-(-5)=9 and y= 1-(-1)=2
Point P is at 1/4 of distance from point A, so its coordinates will be at 1/4 of full distance from A to B in term of both coordinates:
-5 + 9/4= (-20+9)/4= -11/4-1 +2/4= (-4+2)/4= -2/4= -1/2So P= (-11/4, -1/2) and choice 3
Which ordered pair is a solution for 3x - 1 = y?
Answer: A (2,5)
Step-by-step explanation: Remove Parenthesis
y = 3 (2) - 1
Simplify 3 (2) - 1
Multiply 3 by 2
y = 6 - 1
Subtract 1 from 6
y = 5
Use the x and y values to from the ordered pair.
(2,5)
Answer:
(2.5)
Step-by-step explanation:
Simply because if we tried it it works : 3*2-1=6-1=5y=5 so it's trueAn equilateral triangle has sides 8 units long. An equilateral triangle with sides 4 units long is cut off at the top, leaving an isosceles trapezoid. What is the ratio of the area of the smaller triangle to the area of the trapezoid? Express your answer as a common fraction.
Answer:
1:3
Step-by-step explanation:
Please study the diagram briefly to understand the concept.
First, we determine the height of the isosceles trapezoid using Pythagoras theorem.
[tex]4^2=2^2+h^2\\h^2=16-4\\h^2=12\\h=\sqrt{12}\\ h=2\sqrt{3}$ units[/tex]
The two parallel sides of the trapezoid are 8 Inits and 4 units respectively.
Area of a trapezoid [tex]=\dfrac12 (a+b)h[/tex]
Area of the trapezoid
[tex]=\dfrac12 (8+4)*2\sqrt{3}\\=12\sqrt{3}$ Square Units[/tex]
For an equilateral triangle of side length s.
Area [tex]=\dfrac{\sqrt{3}}{4}s^2[/tex]
Side Length of the smaller triangle, s= 4 Units
Therefore:
Area of the smaller triangle
[tex]=\dfrac{\sqrt{3}}{4}*4^2\\=4\sqrt{3}$ Square units[/tex]
Therefore, the ratio of the area of the smaller triangle to the area of the trapezoid
[tex]=4\sqrt{3}:12\sqrt{3}\\$Divide both sides by 4\sqrt{3}\\=1:3[/tex]
Find the values of the variables and the measures of the angles
Answer:
Add each given variable
(6x + 10) + (x + 2) + x = 8x + 12
The sum of all the angles equals 180ᴼ
8x + 12 = 180
Subtract 12 from both sides
8x = 168
Divide by 8 on both sides
x = 21
Now plug in 21 for each x to find the measure of each angle.
(6[21] + 10) = 126 + 10 = 136ᴼ
(21 + 2) = 23ᴼ
x = 21ᴼ
which is the completely factored form of 12x^3-60x^2+4x-20
Answer:
4(x-5)(3x² +1)
Step-by-step:
Add and subtract the second term to the expression and factor by grouping.
Hope this helps!