Answer:
[tex] log_{3}( {2x}^{4} + 8 {x}^{3} ) - 3 log_{3}(x) = 2 log_{3}(x) \\ = log_{3}( \frac{2 {x}^{4} + 8 {x}^{3} }{ {x}^{3} + {x}^{2} } ) \\ = log_{3}( \frac{2 {x}^{2} + 8x}{x + 1} )[/tex]
Answer:
c on edge
Step-by-step explanation:
Given the figure below find the value of x and d
Answer:
x = 2
z = 118
Step-by-step explanation:
The angle with a measure of 118° and the angle labeled "x" are vertical angles
As we know, vertical angles are congruent
Thus, because x's vertical angle equals 118° x also equals 118°
The angle with a measure of 118° and the angle labeled by the expression ( 12x + 38 ) are supplementary angles
Supplementary angles add up to equal 180
Thus, 12x + 38 + 118 = 180
^Note that this is the equation we will use to solve for x
12x + 38 + 118 = 180
step 1 combine like terms
118 + 38 = 156
we now have 12x + 156 = 180
step 2 subtract 156 from each side
156 - 156 cancels out
180 - 156 = 24
we now have 24 = 12x
step 3 divide each side by 12
12x / 12 = x
24 / 12 = 2
we're left with x = 2
help me with this math question please I'm giving away brainliests
Answer:
2 AND -10
Step-by-step explanation:
Answer:
domain: all real numbers except 2 and -10; x-intercept: 4; y-intercept: 1/5
Step-by-step explanation:
The domain consists of the set of all possible values x can be. In a fraction, the denominator cannot be equal to 0. We can solve for the values x cannot be equal to by factoring and exclude them out of the domain once we’ve found them:
To factor x^2 + 8x - 20, we are looking for two numbers that have a product of -20 and a sum of 8. These two numbers are 10 and -2. So, it can be factored to:
(x + 10)(x -2) not equal 0
So x ≠ 2 and x ≠ -10.
To find the x-intercept, the value of y would be zero. We can substitute y as 0 to get:
0 = (x - 4) / x^2 + 8x - 20
The only way for this fraction to equal 0, is for the numerator to be 0. We get the equation:
x - 4 = 0,
And x = 4
To find the y-intercept, the value of x would be 0. We can substitute x with 0 to get:
y = -4 / -20 = 1/5
These answers align with the second option.
describe fully the single transformation that takes shape p onto shape q
Answer:
The single transformation that takes shape 'p' onto shape 'q' is a dilation by a scale factor of 3 with the center point (1, 0)
Step-by-step explanation:
The coordinates of the vertices of shape ΔP are;
A(2, 3), B(2, 1), C(3, 1)
The length AB = 3 - 1 = 2
The length CB = 3 - 2 = 1
∴ The length AC = √(2² + 1²) = √5
The coordinates of the vertices of shape ΔQ are;
A'(4, 9), B'(4, 3), C'(7, 3)
The length A'B' = 9 - 3 = 6
The length C'B' = 7 - 3 = 3
∴ The length A'C' = √(6² + 3²) = √(45) = 3·√5
∴ Figure Q ΔA'B'C' is a dilation of figure P ΔABC by a scale factor of A'B'/AB = 6/2 = 3
The distance of point B(2, 1) from the point (1, 0) = √((2 - 1)² + 1²) = √2
The distance of point B'(4, 3) from the point (1, 0) = √((4 - 1)² + 3²) = 3·√2
Therefore, the distances of points on figure Q from (1, 0) = 3 × the distances of points on figure from (1, 0)
Therefore, figure 'Q' can be obtained from figure 'P' by a dilation of figure 'P' by a scale factor of 3 with the center of dilation at point (1, 0).
HELP HELP HELP PLS I GIVE U EXTRA POINTS
Answer:
A= 45 degrees
Step-by-step explanation:
aight so basic info here: all triangles are equal to 180 degrees knowing this we gotta make equation
80+7x-4+8x-1=180
combine like terms
75+15x=180
15x= 105
x= 7
now plug it back in
7(7)-4
49-4
45
Which of these best describes the relationship between radius and diameter
Question 3 options:
double the diameter to get the radius
half of the radius is the diameter
multiply the diameter by 2 to get the radius
multiply the diameter by 1/2 to get the radius
Answer: multiply the diameter by 1/2 to get the radius
Step-by-step explanation: A diameter is a line across a circle at which its endpoints lie on the circle and travels through the center of the said circle, cutting the circle perfectly in half. The radius is the measurement from the sender of the circle to any given point on the circle and is always equidistant and congruent to other radii of the same circle. For this reason, the radius is always half the length of the diameter. Thus, to define the relationship between the two, multiplying the diameter by 1/2 would be the same as diving it by 2, giving you the radius of the circle.
Answer:
Multiply the diameter by 1/2 to get the radius
Step-by-step explanation:
The radius is half of the diameter, multiplying the diameter by 1/2 will give you the radius.
a yellow box contains 400 tickets that come in three colours. Blue, green, and yellow. the ratio of blue to green tickets is 1:3. the ratio of green to yellow tickets is 1:4. what aid the smallest number of tickets that must be drawn from the box to ensure that at least 50 tickets of one colour have been selected
find the common difference of the arithmetic sequence -1, -6, -11
Answer:
+-5
Step-by-step explanation:
[tex] - 1 + - 5 = - 6[/tex]
[tex] - 6 + - 5 = - 11[/tex]
Answer:
5
Step-by-step explanation:
The common difference id the difference between two consecutive numbers in the sequence.
(1) -11-(-6) = -11 + 6 = 5
(2) -6-(-1) = -6 + 1 = 5
Therefore 5 is the common difference.
Hope it helps you.
Please mark as the brainliest
Thank You
What is the most specific name for the figure?
A(-4a, -2b)
B(-8a, -2b)
C(-4a, b)
D(0, b)
B
А
A. Parallelogram
B. Rectangle
C. Square
D. Rhombus
rhombus is the answer.....
Answer: is parallelogram
Step-by-step explanation:
The value of a car can be modeled by the equation y = 24,000(0.845)t where t is the number of
years since the car was purchased.
a. After how many years will the value of the car be $10,000?
b. Use the model to predict the value of the car after 50 years. Is this a reasonable value?
Explain.
Answer: 5.2 years, $5.28
Step-by-step explanation:
Given
The value of a car is given by [tex]y=24,000\left(0.845\rght)^t[/tex]
Substitute [tex]\$10,000[/tex] for [tex]y[/tex]
[tex]\Rightarrow 10,000=24,000\left(0.845\right)^t\\\\\Rightarrow \left(0.845\right)^t=\dfrac{5}{12}\\\\\Rightarrow \left(0.845\right)^t=0.41666\\\text{Taking log both sides}\\\Rightarrow t\ln (0.845)=\ln (0.4166)\\\\\Rightarrow t=\dfrac{\ln 0.4167}{\ln 0.845}\\\\\Rightarrow t=5.197\approx 5.2\ \text{years}[/tex]
(b) After 50 years, it is
[tex]\Rightarrow y=24,000\left(0.845\rght)^{50}[/tex]
[tex]\Rightarrow y=24,000\times 0.00022\\\Rightarrow y=\$5.28[/tex]
No, this is not a reasonable value as it is more than 4000 times less.
Find X, and the two angle measures.
Answer:
x = -4
m<LMP = 77°
m<NMP = 103°
Step-by-step explanation:
Straight angles by definition have a total measure of 180°.
This means that m<LMP and m<NMP are 180° together.
Therefore m<LMP + m<NMP = 180°.
[substitution property]
(-16x + 13)° + (-20x + 23)° = 180°
[associative property of addition]
(-36x + 36)° = 180°
-36x + 36 = 180
–36 –36
-36x = 144
÷-36 ÷-36
x = -4
_________________
Since m<LMP = (-16x + 13)°.
Using substitution with x = -4:
m<LMP = (-16(-4) + 13)° = (64 + 13)° = 77°.
Since m<NMP = (-20x + 23)°.
Using substitution with x = -4:
m<NMP = (-20(-4) + 23)° = (80 + 23)° = 103°.
This is true because 77° + 103° = 180°.
Denise build two seawall to keep rising the water from her house. The first is 8.75 meter long. The second is 37.5 percent longer than the fist. How long is the second seawall?
Answer:
12.0 meters
Step-by-step explanation:
Given data
The first is 8.75 meters long
Let us find 37.5% of 8.75
=37.5/100*8.75
=0.375*8.75
=3.28125
Hence the Second seawall is
=3.28125+8.75
=12.0 meters
help me with my math both question please
Answer:
whats the question...
Step-by-step explanation:
1= 1/4c what is c ? pls help i could not figure this one out haha
Step-by-step explanation:
it say the answer is 4 but I don't know how
Mr. James will solve the equation 150x = 2200 for x in one step. Which proportion is the MOST appropriate step for Mr. James to use?
Answer:
14.67
Step-by-step explanation:
Mr. James will solve the equation 150x = 2200 for x in one step. Which proportion is the MOST appropriate step for Mr. James to use?
We have the Equation
150x = 2200
Divide both sides by 150
150x/150 = 2200/150
x = 14.666666667
Approximately x= 14.67
Answer:
divide each side by 150
Step-by-step explanation:
If a place you like is renting for $800, and you had one other renter with whom you split the rent expense, how much does your GROSS INCOME need to be?
a.
$800
b.
$700
c.
$600
d.
$1,200
e.
$400
Answer:
How much should I spend on rent and utilities?
We calculate your monthly rent at 25% of your monthly net income (after monthly debt). This allows you to have enough cash left for other expenses and savings. Utilities are in general 2.5% of your monthly net income, and so in this case, you should expect to spend $0 or more per month on utilities.
Step-by-step explanation:
Answer:
the correct answer is e.$400
Jason worked three more hours than Keith. Jason worked 12 hours. Which equation represents the situation, if K is the number of hours Keith worked?
Answer:
J=12. K=3 less than J. 12-3=K
Step-by-step explanation:
Answer:
The answer is C
Step-by-step explanation:
K+3=12
what is the quotient of the following rational expression?
Answer: i cant see it
Step-by-step explanation:
Answer: It's the second one
Step-by-step explanation:
Help number 21 plzzz
Answer:
B. C
Step-by-step explanation:
thats what I think it is
pls help I will give u brainlyist
Answer:
I remember it was Triangular prism or something
Step-by-step explanation:
2 triangles on top
and the sides with rectangle.
A mug and its dimensions are shown. Ben pours hot cocoa into the mug, leaving 0.5 inches empty at the top. Using 3.14 for s, about how many cubic inches of
hot cocoa does Ben pour into the mug?
3 in.
3.5 in.
A. About 9.14 cubic inches
B. About 21.2 cubic inches
C. About 24.73 cubic inches
D. About 28.3 cubic inches
Answer:
B
Step-by-step explanation:
radius: diameter/2 = 3 /2 = 1.5 in
new height = 3.5 - 0.5 = 3 in
V = radius^2 x 3.14 x height = 1.5^2 x 3.14 x 3 = 21.2 in^3
Use the following polygon to find "x":
|(2x + 20) (3x – 10)
(2x)
(2x - 10)
Answer:
[tex]2x + 20 + 2x + 3x - 10 + 2x - 10 = 360[/tex]
[tex]9x = 360[/tex]
[tex]x = 40[/tex]
can someone help with surface area. I'll give them brainlyest
Answer:
To fine the surface area is to add all the area of the faces
Given the conversion factor 3.28ft/ 1 m which cube has the larger surface area?
Answer:
Solid A
Step-by-step explanation:
The formula to find the surface area of a cube = 6a²
Where a = side length
Solid A = 17ft
For solid A, surface area = 6 × (17 ft)²
= 1734 ft²
For Solid B
the conversion factor 3.28ft/ 1 m
Solid B = 5m
Hence, converting 5m to ft
= 5m × 3.28ft
= 16.4 ft
Therefore, the surface area of solid B = 6 × (16.4 ft)²
= 1613.76 ft²
Therefore, from the above calculation, cube that has the larger surface area is Solid A
Look at this set of ordered pairs:
(18, 17)
(12, 11)
(0,8)
(6, 7)
1)) Is this relation a function?
yes
no
Answer:
if each input value leads to one outcome value its a function. this is a function
Use the tangent to find the length of side QR. Express your answer to the nearest tenth. The length of side QR is approximately _____ units.
Answer:
3.9
Step-by-step explanation:
tan = opposite side/adjacent side
tan 61 = 7.1/QR
QR tan 61 = 7.1
QR = 7.1/tan 61
= 3.9
Note: If you memorize the definitions of all the trig functions, then these kinds of problems will be much easier. OK?
The lengths of three sides of a rectangular rug are 25 inches, 50 inches, and 25 inches. What is the
length of the fourth side of the rug?
Answer:
50
Step-by-step explanation:
a rectangle has 2 of the same side lengths and another 2 of the same side lengths. We know that there is a 25 and 25, so there must be another 50 to that 50.
EASY BRAINLIEST PLEASE HELP!!
-if you answer correctly ill give you brainliest which will give you 100pts-
(if you put links or don't answer accordingly im reporting your account)
Answer:
Solution given:
Since it is a isosceles trapezoid so it diagonal will be congruent so
PR=QS
PT+RT=12cm
4.9+RT=12cm
RT=12-4.9
RT=7.1cm
PS=QR
QR=9cm
m<QPR=44° base angle of isosceles triangle
m<PTQ=180°-44-44=92°[interior angle remaining of traingle]
m<STR=m<PTQ
m<STR=92°
heyy free 40 points I would give more but i have done 100 ,60 ,and 40
Answer:
sup bro
Step-by-step explanation:
Answer:
tyy
Step-by-step explanation:
Describe the graph of the function. y = |x - 4| - 7
Answer:
Step-by-step explanation:
The graph is that of the basic absolute value function y = |x|, except that the vertex (0, 0) has been translated 4 units to the right and 7 units down.
What is the missing term?
Answer:
4x
Step-by-step explanation:
I'm not sure though try multiplying