Answer:
[tex]8[/tex]
Step-by-step explanation:
Note that 1/2 xy^2 is, by order of operations, read as [tex]\frac12xy^2[/tex]. If this is not what was intended in the question then please amend it according order of operations.
Plugging the values [tex]x=4[/tex] and [tex]y=-2[/tex] gives
[tex]\frac12xy^2=\frac12(4)(-2)^2=\frac12(4)(4)=\frac12(16)=8[/tex]
Lesson 1 Skills Practice
Lines For Exercises 1-12, use the figure at the right. In that figure, line m is parallel.
Classify each pair of angles as alternate interior, alternate exterior, or corresponding.
Pictures Below.
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Answer:
alternate interior: (2, 4), (3, 5)alternate exterior: (1, 7), (43°, 6)corresponding: (1, 5), (2, 6), (3, 7), alternate interior: (2, 4), (3, 5)corresponding: (1, 5), (2, 6), (3, 7), (43°, 4)4)
Step-by-step explanation:
In this geometry, "corresponding" angles are in the same direction from the point of intersection of the transversal with the parallel line.
"Alternate" refers to angles on opposite sides of the transversal. "Interior" and "exterior" refer to angles between and outside of the parallel lines, respectively.
Here, we list all angle pairs in each classification, so you can answer questions 1-12 based on this list.
alternate interior: (2, 4), (3, 5)
alternate exterior: (1, 7), (43°, 6)
corresponding: (1, 5), (2, 6), (3, 7), (43°, 4)
__
Additional classifications are also used:
consecutive (same-side) interior: (2, 5), (3, 4)
consecutive (same-side) exterior: (1, 6), (43°, 7)
vertical: (1, 3), (2, 43°), (4, 6), (5, 7)
linear pairs: (1, 2), (1, 43°), (2, 3), (3, 43°), (4, 5), (4, 7), (5, 6), (6, 7)
NO LINKS OR ANSWERING QUESTIONS YOU DON'T KNOW!!!
The zeros of the polynomial 3x^4 - 5x^3 - 62x^2 - 92x - 24 are x = {-2, -1/3, 6}. Determine the intervals where the value of f(x) is a negative value. Check all that apply.
a. -∞ < x < -2
b. -2 < x < -1/3
c. -1/3 < x < 6
d. 6 < x < ∞
Answer:
c. -1/3 < x < 6Step-by-step explanation:
There are 3 zero's but we see the polynomial is of degree 4.
It means it has 2 same zero's. We can verify it is -2. Since -2 is doubled, it reflects the local minimum and it is on the x-axis.
In reality we need to consider the other two zero's.
It is obvious the negative interval is between -1/3 and 6 since the polynomial is of even degree and has positive leading coefficient.
Correct choice is c.
The graph is attached to confirm the theory.
ASAP ITS TIMED 109
4 2
3 3
Which expression is equivalent to X X
?
o
NO
NIC
X
27
o
7
3
х
Answer:
x^2/3
Step-by-step explanation:
We know that a^b * a^c = a^(b+c)
x ^ 4/3 * x^ 2/3 = x^(4/3+2/3) = x^(6/3) = x^2
x^2 ^ 1/3
We know that a^b^c = a^(b*c)
x^(2*1/3) = x^2/3
Rosa brought d drawings to an art show. After selling 15 of them, she had 38
left. Identify the equation that represents this situation and the correct
solution
Answer:
38= d - 15
Step-by-step explanation:
Annie is opening a savings account which earns 5.2% interest, compounded continuously.
How much will she need to deposit in the account so that she has $2300 after 7 years?
Round your answer to the nearest dollar.
Do NOT round until you have calculated the final answer.
Answer:
1686.22
Step-by-step explanation:
2300=P(1+(0.052x7))
2300=P1.364
P=2300/1.364
=1686.217...
=1686.22...
=1686 FOR THE NEAREST DOLLAR
b) Express ⃗=(-2,16,2) as the linear combination of ⃗= (0, 3, 4 ) and ⃗⃗= (0, 0, -2) and ⃗= (1, -5, 0)
Answer:
[tex](-2,16,2)=2(0,3,4)+3(0,0,-2)-2(1,-5,0)[/tex]
Step-by-step explanation:
We verify this linear combination indeed gives [tex](-2,16,2)[/tex].
[tex]2(0,3,4)+3(0,0,-2)-2(1,-5,0)=(0,6,8)+(0,0,-6)+(-2,10,0)=(-2,16,2)[/tex]
write each equation explicitly in terms of x. then indicate whether the equation is a function.
3xy+x=y-6
We usually write explicit functions as one variable in terms of another variable. A simple example of an explicit function is a linear function, such as y = 4x - 7. This function is written as the dependent variable y in terms of the independent variable x.
All quesions please. As fast as possible would be nice
Answer:
Vhjaakkjvvkllmn aar
Step-by-step explanation:
Vbkisavn
Vhikjsqiol
NG Jill quolk
Hill s njknbn
Which graph best represents the equation –x + 2y = 4?
Answer:
C
Step-by-step explanation:
Convert the equation into slope intercept form : y=mx+b
2y=x+4
y=1/2x + 2
The m is the slope and the b is the y intercept
In this equation, the slope is 1/2 and the y intercept is 2
The only graph with y intercept 2 is C
The Pool Fun Company has learned that, by pricing a newly released Fun Noodle at $2, sales will reach 6000 Fun Noodles per day during the summer. Raising the price to 3$ will cause the sales to fall to 5000 Fun Noodles per day.
a. Assume that the relationship between sales price, x, and number of Fun Noodles sold, y, is linear. Write an equation in slope-intercept form describing this relationship. Use ordered pairs of the form (sales price, number sold).
b. Predict the daily sales of Fun Noodles if the price is 2.50
Answer:
don't know if i'm right but i think it's B
Complete the equation describing how
x and y are related.
5
1 2 3 4
8 13 18
-2
3
23
28
y = 5x + [?]
Enter the answer that belongs in [?].
Answer:
y=5x+3
Step-by-step explanation:
The equation of line is y=5x+3 since the y intercept is 3
Tina invests $3,700 into an account with a 4.4% interest that is compounded quarterly. How much money will she have in
this account if she keeps it for 8 years?
Round your answer to the nearest cent.
Do NOT round until you have calculated the final answer.
Answer:
bacoot anjing
lo siapa hah kan bisa jawab sendiri sok sok minta bantuuuu
Step-by-step explanation:
maluiiin
Answer:
$5250.96
Step-by-step explanation:
Future value= Present value(1+r)^n
=3700(1+0.011)^32
r=4.4÷100÷4
n=8×4
What is the point-slope form of a line with slope -4 that contains the point
(-2, 3)?
A. y + 3 = 4(x + 2)
B. y - 3 = -4(x + 2)
c. y + 3 = -4(x - 2)
D. y - 3 = 4(x + 2)
Answer:
y-3 = -4(x+2)
Step-by-step explanation:
Point slope form is
y-y1 = m(x-x1) where m is the slope and (x1,y1) is a point on the line
y-3 = -4(x --2)
y-3 = -4(x+2)
Evaluate the line integral
Soydx + zdy + xdz,
[»= f (t)=dw= f'(t)dt
where C is the parametric curve
x=t, y=t, z=ť, Ost<1.
It looks like you're asked to compute
[tex]\displaystyle\int_C y\,\mathrm dx + z\,\mathrm dy + x\,\mathrm dz[/tex]
where C is parameterized by ⟨t, t, t⟩ with 0 ≤ t ≤ 1.
In other words, x = y = z = t, so dx = dy = dz = dt, and the integral reduces to
[tex]\displaystyle\int_C y\,\mathrm dx + z\,\mathrm dy + x\,\mathrm dz = \int_0^1 t\,\mathrm dt + t\,\mathrm dt + t\,\mathrm dt \\\\ = 3 \int_0^1 t\,\mathrm dt \\\\ =\frac32t^2\bigg|_{t=0}^{t=1} \\\\ =\boxed{\frac32}[/tex]
A^2 + 2AB +B^2
habsbsjabdhjsbfhjbsdjh
Identify the type of equation: y-6 = 7(x+8)
Step-by-step explanation:
Recognize the relation between the graph and the slope–intercept form of an equation of a line
Identify the slope and y-intercept form of an equation of a line
Graph a line using its slope and intercept
Choose the most convenient method to graph a line
Graph and interpret applications of slope–intercept
Use slopes to identify parallel lines
Use slopes to identify perpendicular lines
Find out vector product of 3i+8j-5k and -2i+9j+7k.
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Answer:
101i -11j +43k
Step-by-step explanation:
A suitable calculator can find the cross product for you, or you can evaluate the determinant ...
[tex]\left|\begin{array}{ccc}i&j&k\\3&8&-5\\-2&9&7\end{array}\right|=i(8\cdot7-9(-5))-j(3\cdot7-(-2)(-5))+k(3\cdot9-(-2)(8))\\\\=\boxed{101i-11j+43k}[/tex]
Complete the function table
Let
A ={1,2,6,7,8,13,15} and B= {1,2,5,6,8,12,15, 18, 20}
Find the following:
LIST the elements in the set
A∪B :
A∪B = { }
Enter the elements as a list, separated by commas. If the result is the empty set, enter DNE
LIST the elements in the set
A∩B :
A∩B= { }
Enter the elements as a list, separated by commas. If the result is the empty set, enter DNE
Answer:
AUB=(1,2,5,6,7,8,12,13,15, 18,20)
AnB={1,2,6,7,8}
Answer:
Hello,
Step-by-step explanation:
[tex]A =\{1,2,6,7,8,13,15\} \\B= \{1,2,5,6,8,12,15, 18, 20\}\\\\A\ \bigcup\ B=\{1,2,5,6,7,8,12,13,15,18,20\}\\\\A\ \bigcap\ B=\{ 1,2,6,8,15\}\\[/tex]
Simplify: 6x^-2
a) 1/6x^2
b) 6/x^2
c) x^2/6
d) 1/36x^2
Answer:
The correct answer choice is option B. 6/x^2
Step-by-step explanation:
Answer:
6/x^2
Step-by-step explanation:
6 * x^-2
We know that a^ -b = 1/a^b
6 * 1/x^2
6/x^2
Find the equation of the tangent line at the point (0,1) of the graph of the function f(x) = x^3 - 2x + 1 ?
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Answer:
y = -2x +1
Step-by-step explanation:
The derivative of the function is ...
f'(x) = 3x^2 -2
so the slope at x=0 is f'(0) = -2. In slope-intercept form, the equation of the tangent line is ...
y = -2x +1
express 24.123eight to base ten
To convert [tex]24.123[/tex] in base 8, also notated with [tex]24.123_8[/tex] into base 10 simply multiply each digit with 8 to the power of its position relative to the decimal point.
So,
[tex]24.123_8=2\cdot8^1+4\cdot8^0+1\cdot8^{-1}+2\cdot8^{-2}+3\cdot8^{-3}=20.162109375_{10}[/tex]
Hope this helps :)
Evaluate: 2-4
1
O A.
loo
O B.-8
O c.
1
16
O D.-16
Answer:
c is the answer
[tex] \frac{1}{16} [/tex]
What is the mean for the data shown in the line plot?
5 and 7
5
4
8
Answer:
The mean of the data: 5,7,5,4,8 is 5.8
Step-by-step explanation:
To find the mean, add up the numbers, then divide them by the number of data points. So 5 + 7 + 5 + 4 + 8 = 29, and 29 divided by 5 is 5.8
If f(x)=logx, show that f(x+h)-f(x)/h=log[1+h/x]^1/h, h=/=0 (Picture attached, thank you!)
Answer:
Step by step proof shown below.
Step-by-step explanation:
To prove the equation, you need to apply the Logarithm quotient rule and the Logarithm power rule. Here's how the quotient rule looks like.
[tex]log_b(x/y) = log_b(x) - log_b(y)[/tex]
And here's how the power rule looks like
[tex]log_a(x)^n = nlog_a(x)[/tex]
First let's apply the quotient rule.
[tex]\frac{f(x+h)-f(x)}{h} = \frac{log_a(x+h)-log_a(x) }{h} = \frac{log_a(\frac{x+h}{x} )}{h}[/tex]
Now we can do some quick simplification, and apply the power rule.
[tex]\frac{1}{h} log_a(1 + \frac{h}{x} ) = log_a(1+\frac{h}{x} )^\frac{1}{h}[/tex]
Please help me to find out the answer
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Answer:
34.58 in
Step-by-step explanation:
Relative to the angle marked in this right triangle, the side given is the "adjacent" side, and the side length wanted is that of the hypotenuse. The relevant trig relation is ...
Cos = Adjacent/Hypotenuse
Solving for the hypotenuse, we get ...
NP = (29 in)/cos(33°) ≈ 34.58 in
find the measure of c
Answer:
A. 149
Step-by-step explanation:
When a quadrilateral is inscribed in a circle, the sum of the opposite angles in the quadrilateral equal (180) degrees. Applying this theorem here, one can state the following:
c + 31 = 180
Inverse operations,
c + 31 = 180
c = 149
Thus, option (A) is the correct angles: ( c = 149°)
In △ABC, m∠A=45°, c=17, and m∠B=25°. Find a to the nearest tenth. law of sines 4
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Answer:
a ≈ 12.8
Step-by-step explanation:
To find 'a' using the law of sines, we need the measure of the angle opposite a given side. Here, that would be angle C.
C = 180° -A -B = 180° -45° -25° = 110°
Now, we can find 'a' to be ...
a/sin(A) = c/sin(C)
a = c·sin(A)/sin(C) = 17·sin(45°)/sin(110°)
a ≈ 12.7923
a ≈ 12.8 . . . . rounded to tenths
Side note: It’s ratio math
In the 15 years from 1991 through 2006, a musical performance was performed on a famous street 5579 times. What was the average rate of performances per year?
The average rate was performances per year
(Simplify your answer. Round to the nearest whole number as needed.)
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Find the surface area of the figure round your answer to the nearest tenth if necessary
Answer:
.kpokojj8nvchrfhuthuvu9jeuvh
Step-by-step explanation:
j8tguhrhfgzhedh8ugh8euweuhujdhhruehf hhcufe7fhd fu y in my as 08ygrt8hthts8hewhrs8h8h8
