Answer:
155 + [tex]x^{3}[/tex] + 14
Step-by-step explanation:
The variable x would represent the number/value we don't know, and in this case, we don't know what number is raised to the third power. This being said, x would represent that number.
The question, although worded a bit confusingly, asks to add 155, the number (x) to the exponent of 3, and 14. Mathematically, this would be 155 + [tex]x^{3}[/tex] + 14.
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2
O B.
13
2
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D.
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[tex] \purple{ \huge{ \tt \: Answer : }}[/tex]
[tex] \: \: \: \: \: \: \: \red{ \boxed{ \boxed{ \sf{{ \: - \frac{ \sqrt{3} }{2} \: \: }}}}}[/tex]The value of cos 7π/6 is -√(3)/2 .
What is Trigonometry?Trigonometry is a discipline of mathematics dealing with specific angle functions and their application to calculations. In trigonometry, there are six functions of an angle that are often utilised. Sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant are their names and acronyms (csc).
we have to find the value of cos (7π /6)
As, 7pi/6 radians
= 7pi/6 × (180°/pi)
= 210° or 210 degrees
Now, cos 7pi/6
= cos 7π/6
= cos(210°)
= -√(3)/2
Thus, the value of cos (7π/6) is -√(3)/2 .
Learn more about Trigonometry here:
https://brainly.com/question/29002217
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Identifying the Graph of a Solution
Which graph is the solution to the inequality?
✓x
+
+
+
96
1
99
97
98
100
y - 13 > -85M
Graph A
+
95
Graph B
4
-74
Graph
4
-100
Graph D
+
-73
1
-71
1
-70
-72
-69
13 < -85+y
1
-99
+
-98
+
-97
+
-96
y + 13 <-85
1
-73
+
-72
+
-71
+
-70
-74
-69
Answer:
C
Step-by-step explanation:
C
Simplify: (5 – 2) – (18 – 25) =?
Simplify: 7 – (8 x 3)=?
Simplify: 6 - 4(6+2)=???
Simplify: –r + 7 + 3r – 9 – 2r =??
Answer:
1. 10
2. -17
3. -26
4. -2
Step-by-step explanation:
[tex]1 ). \ (5 - 2) - (18 -25) = 3 - (-7) = 3 + 7 = 10\\2). \ 7 - ( 8\times 3) = 7 - 24 = -17\\3). \ 6 - 4(6+2) = 6 - ( 4 \times 8) = 6 - 32 = -26\\4). \ -r + 7 + 3r -9 -2r = (-r +3r -2r)+(7 -9) = 0-2= -2[/tex]
Step-by-step explanation:
3-(-7)=(-4)
7-24=(-17)
A kite is flying 92 feet off the ground, and it’s string is pulled taut. The angle of elevation of the kite is 63°. Find the length of the string. Round your answer to the nearest 10th
Answer:
26 × 35 = 910=890 I multiply the 26 and 35 together and got 910 and then I round off to nearest 10th and got 900
So the awnser is 890m
Given AD|GJ. Refer to the figure and provide an appropriate name for
Check the picture below.
help! can a big strong màn help me
Step-by-step explanation:
hear is your answer 9 is correct answer
I REALLY NEED HELP WITH THIS!!!! I WILL GIVE BRAINLIEST!!!!!!!!!
Consider the equation:
3+x=x^2+3x
1) Rewrite the equation by completing the square.
Your equation should look like (x+c)^2=d or (x-c)^2=d
2) What are the solutions to the equation?
Answer:
1
[tex]3 + x = {x}^{2} + 3x \\ {x}^{2} + 2x - 3 = 0 \\ ( {x}^{2} + 2x + 1) - 3 - 1 = 0 \\ {(x + 1)}^{2} - 4 = 0 \\ {(x + 1)}^{2} = 4[/tex]
2
[tex] {(x + 1)}^{2} = 4 \\ x + 1 = ±2 \\ x = 1 \: or \: - 3[/tex]
Answer:
first answer is (x+1)^2=4 and the second one is x=-1 plus or minus 2
When the admission price for a baseball games was $4 per ticket, 40,000 tickets were sold. When the price was raised to $5, only 35,000 tickets were sold. Assume that the demand function is linear and that the variable and fixed costs for the ball park owners are $0.10 and $95,000 respectively.
A) Find the profit P as a function of x, the number of tickets sold P(x)=
B) Select the graph of P
C) find the marginal profits when 20,000 tickets were sold and when 40,000 tickets were sold. P'(20,000)= $ Per ticket P'(40,000)= $ Per ticket
Answer and explanation:
A. profit P as a function of x, the number of tickets sold
P(x)= total revenue - total cost
For 40000 tickets at $4
=40000×4-0.10×40000+$95000
=$160000-$99000
=$61000
For 35000 tickets at $5
= 35000×$5-0.10×35000+$95000
= $175000-$98500
= $76500
B. P has a downward slope like a demand curve. Increase in price equal to decrease in profit.
C. P(40000)= $4-$0.10+$95000/40000
= $4-$2.475
= $1.525
Price for 20000 tickets was not stated in question but feel free to use an arbitrary price(price should be higher than that for 35000 tickets and 40000 tickets)
If f(x) = 4 – x^2 and g(x) = 6x, which expression is equivalent to (g- 1)(3)?
Answer:
the value of g
Step-by-step explanation:
A Fair Isaac Corporation (FICO) score is used by credit agencies (such as mortgage companies and banks) to assess the creditworthiness of individuals. Values range from 300 to 850, with a FICO score over 700 considered to be a quality credit risk. According to Fair Isaac Corporation, the mean FICO score is 703.5. A credit analyst wondered whether high-income individuals (incomes in excess of $100,000 per year) had higher credit scores. He obtained a random sample of 40 high-income individuals and found the sample mean credit score to be 714.2 with a standard deviation of 83.2. Conduct the appropriate test to determine if high-income individuals have higher FICO scores at the \alpha=0.05α=0.05 level of significance.
Solution :
Given :
Sample mean, [tex]$\overline x = 714.2$[/tex]
Sample size, n = 40
Standard deviation, s = 83.2
∴ The null hypothesis is [tex]$H_0 : \mu = 703.5$[/tex]
Alternate hypothesis is [tex]$H_a : \mu > 703.5$[/tex]
Test statistic :
[tex]$z = \frac{\overline x - \mu}{s / \sqrt n}$[/tex]
[tex]$z = \frac{714.2-703.5}{83.2 / \sqrt {40}}$[/tex]
z = 0.813
Now at α = 0.05, for a right tailed,
[tex]$z_{critical} = 1.645$[/tex]
Since, [tex]$z < z_{critical}$[/tex] , we fail to reject the null hypothesis.
Brianna went to a carnival. She played five games and rode six rides. Justin went to the same carnival and played seven games and rode eight rides. If Brianna paid $11.75 and Justin paid $16.15, how much did one game cost to play?
Explain pls
Find the area of circle H
Answer: AREA OF H IS S= R4
Step-by-step explanation:
Please help is for now :(
If the side lengths of a cube are 14 feet, what is the correct way to write the expression to represent the volume of the cube in exponential form?
143
314
14 ⋅ 3
14 ⋅ 14 ⋅ 14
PLEASE ANWSER !!!!!
(100 points given)
Answer: Choice A) [tex]14^3[/tex]
This is the same as writing 14^3
===================================================
Explanation:
Since all the sides are 14 feet long, we can basically say length = width = height = 14.
Or put another way:
length = 14width = 14height = 14The volume of the cube is length*width*height = 14*14*14 = 14^3 = 2744 cubic feet.
-----------
The term 14^3 has a base of 14 and exponent of 3.
The base is what we multiply out while the exponent tells us how many copies of the base to multiply. In this problem, we have 3 copies of 14 being multiplied. So that's why 14^3 = 14*14*14
If you were to say something like 3^14, then you would have 14 copies of 3 multiplied out, which is a much larger value. So we'll cross choice B off the list.
Choice C isn't correct either since again we're using exponents and not multiplication to tie together the 14 and 3.
Choice D would be correct if your teacher wanted it in expanded form, instead of exponent form.
Answer:A is the answer
Step-by-step explanation:
-3(7+2) Distributive Property
Can someone help me with this please!
Answer:
Maybe 24 ft.......................????
Answer:
24 feet.
Step-by-step explanation:
We can solve this with a proportion.
[tex]\frac{Height}{Shadow}=\frac{Height}{Shadow}\\\frac{Height}{12}=\frac{2}{1}\\Height=\frac{2}{1}(12)\\Height = 24[/tex]
Therefore, the height of the sailboat is 24 feet.
Can someone help me please
Answer: A
Step-by-step explanation:
Please show work thank you
Answer: 70 mph
Step-by-step explanation:
11. Two of every 7 birds landing on
Mischa's feeder are sparrows. Today,
42 birds landed on her feeder. How
many of the birds would you expect to
be sparrows?
A 6
B 12
C 21
D 35
Answer:
B) 12
Step-by-step explanation:
2/7 is the original ratio
7 × 6 = 42
2 × 6 = 12
Given the vector u with magnitude 8 and direction 150° and the vector v with magnitude 3 and direction 115º, find the components of the vector u + v. Round to
four decimal places
======================================================
Explanation:
Vector u has magnitude 8 and direction 150 degrees.
So r = 8 and theta = 150
The polar form
r*(cos(theta)+i*sin(theta))
updates to
8*(cos(150)+i*sin(150))
---------------------
Use your calculator to evaluate that last expression to get it into a+bi form
8*(cos(150)+i*sin(150))
8*(-0.866025 + i*0.5)
-6.9282 + 4i
So this is the a+bi form of vector u. It's a rough approximation of it.
-----------------------
Repeat those steps for vector v
v = r*(cos(theta)+i*sin(theta))
v = 3*(cos(115)+i*sin(115))
v = 3*(-0.422618 + i*0.906308)
v = -1.267854 + 2.718924i
----------------------
We're converting each vector to a+bi form so that we can add the vectors.
The general idea is that if you want to add v = a+bi and w = c+di, then
v+w = (a+c)+(b+d)i
we simply add the corresponding real components together, and the imaginary components are added together as well.
-----------------------
Add up u and v
u+v = (-6.9282 + 4i) + (-1.267854 + 2.718924i)
u+v = (-6.9282 + -1.267854) + (4i + 2.718924i)
u+v = -8.196054 + 6.718924i
When rounding to four decimal places, the real and imaginary components are -8.1961 and 6.7189 respectively. These represent the x and y components of the vector.
So we can say vector u+v is approximately < -8.1961, 6.7189 >
Suppose that nine Massachusetts athletes are scheduled to appear at a charity benefit. The nine are randomly chosen from eight volunteers from the Boston Celtics and four volunteers from the New England Patriots. We are interested in the number of Patriots picked.
a. In words, define the random variable X.
b. List the values that X may take on.
c. Give the distribution of X. X ~ _____(_____,_____)
d. Are you choosing the nine athletes with or without replacement?
Answer:
a) Random Variable - The value of this variable occur according to the frequency distribution
b) X may be volunteers from the Boston Celtics or the volunteer from New England Patriots
c) Distribution 1 to 13
d) Without replacement
Step-by-step explanation:
a) Random Variable - The value of this variable occur according to the frequency distribution
b) X may be volunteers from the Boston Celtics or the volunteer from New England Patriots
c) Distribution 1 to 13
d) Without replacement
What is the value of the unknown angle (2x)
Answer:
2x = 44
Step-by-step explanation:
115+94+107+2x = 360
2x = 360 -316 = 44
x = 22
Answer:
Step-by-step explanation:
115+94+107+2x=360 degree(sum of interior angles og four angles is always 360 degree)
2x+316=360
2x=360-316
x=44/2
x=22
substitute the value of x in 2x
=2x
=2*22
=44
What are the year-2 CPI and the rate of inflation from year 1 to year 2 for a basket of goods that costs $25.00 in year 1 and $25.50 in year 2? NEED FAST REALLY IMPORTANT IF CORRECT WILL MARK AS BRAINLIEST
Answer:
The answer is A, the CPI is 25.50, and the rate of inflation is 2%.
Step-by-step explanation:
I took the test and I know the correct answer. :)
Answer:
E) 102 and 2%
Step-by-step explanation:
If the graphs of the linear equations shown below are perpendicular, what is the value
of a?
y = 3x +8
2y = ax - 5
Answer:
[tex]a=-\frac{2}{3}[/tex]
Step-by-step explanation:
We are given the lines, [tex]y=3x+8[/tex] and [tex]2y=ax-5[/tex]. For the latter equation, we can isolate the variable y to have the same format as the first. We want to create a y=mx+b equation where m represents the slope of the line. We now have the equations:
[tex]y=3x+8[/tex] and
[tex]y=\frac{a}{2}x-2.5[/tex]
The definition of perpendicular lines is that their slopes must be the negative reciprocal of each other. Thus:
[tex]-\frac{1}{3}=\frac{a}{2} \\\\a=-\frac{2}{3}[/tex]
I hope this helps! Let me know if you have any questions :)
If x = 3, what is the value of x(14 - x)?
Answer:
33
Step-by-step explanation:
x(14 - x)
Step One: Substitute
3(14 - 3)
Step Two: Brackets/Parenthesis
3(11)
Step Three: Multiply
33
Answer:
33
Step-by-step explanation:
1. Subtract the numbers
(14-3)
2. Multiply the numbers
3*11= 33
Find the missing terms of the arithmetic sequence below.
..., 36, , ,21, ...
Answer:
Rule:-15
Step-by-step explanation:
36,21,6,-9,-24,-39,-54,-69...
help jehejeieoeieoeoe
[tex]\huge\textsf{Hey there!}[/tex]
[tex]\large\textsf{-6 + k}[/tex]
[tex]\large\textsf{If k = 18, then substitute it into the equation where k is at}[/tex]
[tex]\large\textsf{-6 + 18}[/tex]
[tex]= \boxed{\large\textsf{\bf 12}}[/tex]
[tex]\boxed{\boxed{\large\textsf{Answer: \huge \bf 12 }}}\huge\checkmark[/tex]
[tex]\large\textsf{Guide}\downarrow[/tex]
[tex]\large\textsf{Negative \& negative = \boxed{\bf positive}}[/tex]
[tex]\large\textsf{Negative \& positive = \boxed{\bf negative}}[/tex]
[tex]\large\textsf{Positive \& positive = \boxed{\bf positive}}[/tex]
[tex]\large\textsf{Positive \& negative = \boxed{\bf negative}}[/tex]
[tex]\large\textsf{SOME values results in the bigger number}[/tex]
[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
On a coordinate plane, 2 exponential functions are shown. f (x) approaches y = 0 in quadrant 2 and then increases into quadrant 1. It crosses the y-axis at (0, 0.5) and goes through (1, 1).
Which function represents g(x), a reflection of f(x) = On a coordinate plane, 2 exponential functions are shown. g (x) decreases in quadrant 2 and approaches y = 0 in quadrant 1. It goes through (negative 1, 1) and crosses the y - axis at (0, 0.5).(3)x across the y-axis?
g(x) = 2(3)x
g(x) = −One-half(3)x
g(x) = One-half(3)−x
g(x) = 2(3)−x
Step-by-step explanation:
Edge 2021
Answer: g(x) = Negative two-fifths(10)x
Step-by-step explanation:
In order to reflect a function over the x-axis, you have to multiply the function by minus one.
Given the function:
f(x) = 2/5(10)^x
Its reflection over the x-axis is:
-f(x) = -2/5(10)^x = g(x)
f(x) = -3x-3 g(x) =2x^3+2
Find f(6) and g(-3)
usa pothomath (no me acuerdo como se escribe)
5. If x = 2 + y and x + y = 10, what are the values of x and y?
Answer: x=6 and y=4
Step-by-step explanation:
4 plus 2 equals 6, which is the value of x. 6 plus 4(value of y) is 10.
