Answer:
[tex]{ \bf{ log_{a}(U) = x}} \\ { \boxed{ \tt{ {a}^{x} = U}}} \\ \\ { \bf{ log_{a}(V) = y}} \\ { \boxed{ \tt{ {a}^{y} = V }}}[/tex]
Please show work. The way that you solve for surface area and vol confuse me.
Answer:
search up the formula
Step-by-step explanation:
If P(x): x < |2x|. b) What is the value of ∃x P(x)?
Answer:
true
Step-by-step explanation:
because some of x if x=3 then 3<6 is true
Which expression is equivalent to
-32 3/5
-8
-3/325
3/325
1/8
Answer:
[tex]-32^\frac{3}{5} = -8[/tex]
Step-by-step explanation:
Given
[tex]-32^\frac{3}{5}[/tex]
Required
The equivalent expression
We have:
[tex]-32^\frac{3}{5}[/tex]
Rewrite as:
[tex]-32^\frac{3}{5} = (-32)^\frac{3}{5}[/tex]
Expand
[tex]-32^\frac{3}{5} = (-2^5)^\frac{3}{5}[/tex]
Remove bracket
[tex]-32^\frac{3}{5} = -2^\frac{5*3}{5}[/tex]
[tex]-32^\frac{3}{5} = -2^3[/tex]
[tex]-32^\frac{3}{5} = -8[/tex]
Which expression describes this graph?
A. x -5
B. x -5
C. x < -5
D. x > -5
Answer:
C
Step-by-step explanation:
The equation that described the graph is x<-5
Question 6 a-c if plz show ALL STEPS like LITERALLY EVERYTHING
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Answer:
a) quadrant III
b) 4π/3, -2π/3
c) (1/2, (√3)/2)
d) ((√3)/2, -1/2
Step-by-step explanation:
a) The attachment shows the point P and the numbering of the quadrants (in Roman numerals). Point P lies in quadrant III.
__
b) Measured counterclockwise, the angle to point P is 240° or 4π/3 radians. Measured clockwise, the angle is -120° or -2π/3 radians. In the diagram, these are shown in green and purple, respectively.
__
c) Adding π/2 to the angle 4π/3 or -2π/3 brings it to 11π/6, or -π/6. This point is marked as P' (blue) on the diagram. The coordinate transformation for π/2 radians CCW rotation is ...
(x, y) ⇒ (-y, x)
P(-1/2, -√3/2) ⇒ P'(√3/2, -1/2)
In terms of trig functions, the coordinates of the rotated point are ...
P'(cos(-π/6), sin(-π/6)) = P'(√3/2, -1/2)
__
d) Adding or subtracting π radians to/from the angle moves it directly opposite the origin. Both coordinates change sign. This point is P'' (red) on the diagram.
Năm báo cáo:
- Tồn cuối năm: trong kho: 800 sp; gửi bán: 1200sp
- Số lượng sản xuất: 10.000 sp
- Giá bán: 100.000 đồng/sp
Năm kế hoạch:
- Dự kiến số lượng sản xuất tăng 10%
- Tồn cuối năm: tăng 10% so với năm báo cáo
- Giá bán: 95.000 đồng/sp
- Giá vốn 1 sp: 79.500 đồng (tăng 6% so với năm báo cáo)
Yêu cầu:
1/ Tính doanh thu năm kế hoạch
2/ Tính giá vốn hàng bán năm kế hoạch (FIFO)
Answer:
THE ANSWER IS
2) Consider the quadratic sequence 72, 100, 120, 132
2.1.1) Determine Tn the nth term of the quadratic.
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Answer:
Tn = -4n² +40n +36
Step-by-step explanation:
A graphing calculator readily performs the quadratic regression, yielding the formula ...
Tn = -4n² +40n +36
__
The first and second differences of the given sequence terms are ...
28, 20, 12 and -8, -8
The coefficient of the squared term is half the second difference, so is -4. Then the sequence of squared terms is -4n²:
-4, -16, -36, -64
Subtracting these values from the original sequence gives the linear sequence ...
76, 116, 156, 196
which has first term 76 and common difference 40. The equation for the n-th term of this is ...
an = 76 +40(n -1) = 36 +40n
Adding this linear sequence to the sequence of squared terms, we get ...
Tn = -4n² +40n +36
Which equation describes this graph?
Step-by-step explanation:
The graph clearly has a positive slope. So Answer D couldn't be correct. Next: the y-intercept of this line is (0, -2), so b in the formula y = mx÷ b must be -2.
Therefore the correct equation of this line is
y = x - 2 (choice a)
If the nominal rate of interest is 10% per annum and there is quarterly compounding, the effective rate of interest will be: a) 10% per annum b) 10.10 per annum c) 10.25%per annum d) 10.38% per annum
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Answer:
d) 10.38%
Step-by-step explanation:
The multiplier for four quarters of quarterly compounding is ...
(1 +10%/4)^4 = 1.025^4 = 1.103812890625
This is about 1 + 10.38%.
The effective rate of interest is about 10.38% per annum.
Identify the errors made in the finding the inverse of y= x^2 +12x
X= y^2+12x
Y^2= x- 12x
Y^2 = -11x
Y=√11x, for x greater than or equal to 0
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Answer:
y was not substituted for every x
Step-by-step explanation:
To find the inverse of ...
y = f(x)
you need to solve ...
x = f(y)
Here, f(x) = x^2 +12x, so f(y) = y^2 +12y
This is not the expression we see on the right of ...
x = y^2 +12x
Apparently y was not properly substituted into f(x).
Jan needs 1/3 of chocolate chips to make cookies and 3/4 cup to make brownies. How many cups does she need altogether?
Answer:
She needs 1½ cups
Step-by-step explanation:
Number of cups she needs altogether = 1/3 + 3/4 =(4+9)/12 = 13/12 = 1½
what is factorization of the trinomial below? -x2+2x+48
Answer:
-(x+6) (x-8)
Step-by-step explanation:
-(x^2-2x-48)
two values the multiply to get 48 and the difference of those two numbers gives you -2.
6,-8
6 x -8 =-48
6-8=-2
In this case we factored out the negative so leave it outside
-(x+6) (x-8)
Answer:
-1(x-8)(x+6) is the answer just took the test
Step-by-step explanation:
Plz help me find x and y on these triangles
Answer:
x=15, y=2
Step-by-step explanation:
By AA similarity, the triangles are similar. Therefore, we can find the ratios of the side lengths.
9/3=3=ratio of the side length of a larger triangle to a smaller one.
3=6/y, y=2
3=x/5, x=15
Hope this helped,
~cloud
Solve for x, the triangles are similar
Answer:
x = 12
Step-by-step explanation:
Δ ESR and Δ EGF are similar, then ratios of corresponding sides are equal, so
[tex]\frac{ES}{EG}[/tex] = [tex]\frac{ER}{EF}[/tex] , substitute values
[tex]\frac{45}{12x-3}[/tex] = [tex]\frac{55}{143}[/tex] ( cross- multiply )
55(12x - 3) = 6435 ( divide both sides by 55 )
12x - 3 = 117 ( add 3 to both sides )
12x = 120 ( divide both sides by 12 )
x = 10
i need help ON THIS PLS
Answer:
No, because the ratio of pay to hours is not the same for each pair of value.
Area of a triangle
A/12 = 12/12bh
solve for b
Step-by-step explanation:
I hope this works for ya.
Bod and coa are _____ angles
Answer:
opposite angles
Step-by-step explanation:
They are formed in the intersection of lines AD and BD.
Answer:
opposite angles
Step-by-step explanation:
they are formed in the intersection of lines AD and BD. two figures are called similar if they have same shape however have different size.
please help me with geometry
Answer:
x = 8
Step-by-step explanation:
Set 2x + 3 = 3x - 5
Solve for x
x = 8
fridays high temp was -1. the low temp was -5. what was the difference between the high and low temps
Answer:
4
Step-by-step explanation:
count up from -5 to -1
so -5,-4,-3,-2,-1 and there are four numbers excluding-5
Find the quotient of -196/4
Answer:
this is the answer
Step-by-step explanation:
thank you
Answer:
-196/4 = -49
Step-by-step explanation:
Mental math. If you can't do that then use a calculator. It's faster to type it in on g oogle
Simplify the following expression.
(1565)
———-
(562)3
pls help me with this. You need to graph the equation or smt
A cyclist rides her bike at a speed of 30 kilometers per hour. What is this speed in kilometers per minute? How many kilometers will the cyclist travel in 2
minutes? Do not round your answers,
Step-by-step explanation:
The answer is mentioned above.
Select the statement that best justifies the conclusion based on the given information.
a. Definition of bisector.
b. Definition of midpoint.
c. If two lines intersect, then their intersection is exactly one point.
d. Through any two different points, exactly one line exists.
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Answer:
a. Definition of bisector.
Step-by-step explanation:
Line l is a line through the midpoint M. We can conclude it is a bisector, because, by definition, a bisector is a line through the midpoint.
The conclusion is justified by the definition of a bisector.
Can someone help me please. I am struggling and I would be so happy if any of you helped me. Thank you for your help!
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Answer:
$19.36
Step-by-step explanation:
Any average is the sum of numbers, divided by the number of them.
Here, the numbers are grouped, but the computation of the average works the same way.
The total value of donations received is ...
$100×10 +$50×20 +$20×30 +$10×100 +$5×35
= $1000 +1000 +600 +1000 +175 = $3775
The total number of donations received is ...
10 +20 +30 +100 +35 = 195
Then the average (mean) donation is the total value divided by the total number ...
$3775/195 ≈ $19.35897 ≈ $19.36 . . . mean donation
AM and CM
BM and BM
AB and CB
These are variables on your graph
Categorize the trigonometric functions as positive or negative.
Answer:
So, remember that:
cos(x) > 0 for -pi/2 < x < pi/2
cos(x) < 0 for pi/2 < x < (3/2)*pi
and
sin(x) > 0 for 0 < x < pi
sin(x) < 0 for -pi < x <0 or pi < x < 2pi
Also, we have the periodicty of the sine and cocine equations, such that:
sin(x) = sin(x + 2pi)
cos(x) = cos(x + 2pi)
Now let's solve the problem:
[tex]sin(\frac{13*\pi}{36} )[/tex]
here we have:
x = (13/36)π
This is larger than zero and smaller than π:
0 < (13/36)π < π
then:
[tex]sin(\frac{13*\pi}{36} )[/tex]
Is positive.
The next one is:
[tex]cos(\frac{7*\pi}{12} )[/tex]
Here we have x = (7/12)*pi
notice that:
7/12 > 1/2
Then:
(7/12)*π > (1/2)*π
Then:
[tex]cos(\frac{7*\pi}{12} )[/tex]
is negative.
next one:
[tex]sin(\frac{47*\pi}{36} )[/tex]
here:
x = (47/36)*π
here we have (47/36) > 1
then:
(47/36)*π > π
then:
[tex]sin(\frac{47*\pi}{36} )[/tex]
is negative.
the next one is:
[tex]cos(\frac{17*\pi}{10} )[/tex]
Here we have x = (17/10)*π
if we subtract 2*π (because of the periodicity) we get:
(17/10)*π - 2*π
(17/10)*π - (20/10)*π
(-3/10)*π
this is in the range where the cosine function is positive, thus:
[tex]cos(\frac{17*\pi}{10} )[/tex]
is positive.
the next one is:
[tex]tan(\frac{41*\pi}{36} ) = \frac{sin(\frac{41*\pi}{36} )}{cos(\frac{41*\pi}{36} )}[/tex]
here we have:
x = (41/36)*π
Notice that both functions, sine and cosine are negatives for that value, then we have the quotient of two negative values, so:
[tex]tan(\frac{41*\pi}{36} ) = \frac{sin(\frac{41*\pi}{36} )}{cos(\frac{41*\pi}{36} )}[/tex]
is positive.
The final one is:
[tex]tan(\frac{5*\pi}{9} ) = \frac{sin(\frac{5*\pi}{9} )}{cos(\frac{5*\pi}{9} )}[/tex]
Here:
x = (5/9)*π
The sin function is positive with this x value, while the cosine function is negative, thus:
[tex]tan(\frac{5*\pi}{9} ) = \frac{sin(\frac{5*\pi}{9} )}{cos(\frac{5*\pi}{9} )}[/tex]
Is negative.
In the data set shown below, what is the value of the quartiles?
{4.3, 4.5, 4.7, 5, 5.5, 5.7, 5.9, 6, 6.1}
A. Q1 = 4.6; Q2 = 5.5; Q3 = 5.95
B. Q1 = 4.7; Q2 = 5.5; Q3 = 6
C. Q1 = 4.7; Q2 = 5.5; Q3 = 5.9
D. Q1 = 4.6; Q2 = 5.5; Q3 = 5.92
Answer:
A. Q1 = 4.6; Q2 = 5.5; Q3 = 5.95
Step-by-step explanation:
{4.3, 4.5, 4.7, 5, 5.5, 5.7, 5.9, 6, 6.1}
First find the median or the 2nd quartile
There are 9 data points so the middle is the 5th
4.3, 4.5, 4.7, 5, 5.5, 5.7, 5.9, 6, 6.1}
Q2 = 5.5
Now looking at the data on the left, we need to find the middle, which is Q1 or the first quartile
4.3, 4.5 , 4.7, 5,
It is between 4.5 and 4.7 so we average
(4.5+4.7)/2 = 9.2/2 = 4.6
Q1 is 4.6
We do the same for the data on the right, which is the third quartile or Q3
5.7, 5.9, 6, 6.1
(5.9+6)/2 = 11.9/2 = 5.95
Q3 = 5.95
Answer: IT'S A !!
Step-by-step explanation:
How many significant figures are there in the number: 76000?
Answer:
2 significant figures
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
2
Only the 7 and the 6 are significant. The zeros are place holders and not significant figures.
A car rental agency rents 480 cars per day at a rate of $20 per day. For each $1 increase in rate, 10 fewer cars are rented. At what rate should the cars be rented to produce the maximum income? What is the maximum income?
Answer:
340 cars at $ 34 should be rented to produce the maximum income of $ 11,560.
Step-by-step explanation:
Given that a car rental agency rents 480 cars per day at a rate of $ 20 per day, and for each $ 1 increase in rate, 10 fewer cars are rented, to determine at what rate should the cars be rented to produce the maximum income and what is the maximum income, the following calculations must be performed:
480 x 20 = 9600
400 x 28 = 11200
350 x 33 = 11550
300 x 38 = 11400
310 x 37 = 11470
320 x 36 = 11520
330 x 35 = 11550
340 x 34 = 11560
Therefore, 340 cars at $ 34 should be rented to produce the maximum income of $ 11,560.