Answer:
C. [tex] \frac{\pi}{4} [/tex]
Step-by-step explanation:
[tex]terminal \: point \: of \: \theta = \bigg( \frac{ \sqrt{2} }{2}, \: \: \frac{ \sqrt{2} }{2} \bigg) \\ \\ \implies \: (x, \: \: y) = \bigg( \frac{ \sqrt{2} }{2} \: \: \frac{ \sqrt{2} }{2} \bigg) \\ \\ \implies \: x = \frac{ \sqrt{2} }{2}, \: \: y = \frac{ \sqrt{2} }{2} \\ \\ \because \tan \theta = \frac{y}{x} \\ \\ \therefore \tan \theta = \frac{ \frac{ \sqrt{2} }{2} }{ \frac{ \sqrt{2} }{2} } \\ \\\therefore \tan \theta =1 \\ \\ \implies \tan \theta =\tan \bigg( \frac{\pi}{4} \bigg) \\ \\ \implies \: \theta \: = \frac{\pi}{4} [/tex]
Find all the real zeros of the function
f(x) = 2x3 - 19x2 + 38x + 24 given that x-4 is a factor.
Answer:
Zeroes: x=4, x=-1/2, and x=6
Step-by-step explanation:
Use Synthetic Division where x-4=0 to find another factor:
4 | 2 -19 +38 +24
___8_-44_-24
2 -11 -6 | 0
So far, your two factors are x-4 and 2x^2-11x-6.
We can actually factor 2x^2-11x-6 into (2x+1)(x-6), so we have three factors which are (x-4), (2x+1), and (x-6)!
By the Zero Product Property, x=4, x=-1/2, and x=6 are your zeroes.
In a game show, a contestant receives a prize that has a % chance of being worth $ and a % chance of being worth $. What is the expected value of winning a prize?
Answer:
112
Step-by-step explanation:
Expected Value is anticipated value, calculated by multiplying each of possible outcomes with their probability of occurrence.
If Price has = 60% chance of value 120 , & 40% chance of value 100
Expected Value = Sum ( Probability of outcome x Payoff )
E (X) = Σ [ xi . PR ( xi ) ] = x1. Pr (x1) + x2 . Pr (x2)
= 0.6 (120) + 0.4 (100) = 72 + 40
= 112
Robert invested $7,600 in an account paying an interest rate of 1.9% compounded continuously. Assuming no deposits or withdrawals are made, how long would it take, to the nearest year, for the value of the account to reach $8,600?
Answer:
the answer is 7
Step-by-step explanation:
Compounded Continuously:
A=Pe^rt
A=8600
P=7600
r=0.019
8600=7600e^0.019t
[tex]\frac{x}{y} 8600\\ 7600[/tex] =[tex]\frac{x}{y} 7600e^0.019t\\7600[/tex]
1.1315789=e^0.019t
In(1.1315789)=e^0.019t
ln(1.1315789)=
\,\,0.019t
0.019t
6.5059977=t
t=7
thxxxx byee
the additive inverse of 21
Answer:
-21
Step-by-step explanation:
Additive Inverse Calculator determines the additive inverse property of 21 is -21 along with a stepwise explanation of how to derive the additive inverse for the given number.
The positive number is negative and a negative number is positive while in additive inverse.
°^°
brainliest goes to whoever answers the question correctly
Answer:
A
Step-by-step explanation:
A = 8/7
B = -7/8
C = .78
A is the greatest
What fraction of the large square is shaded? Show your work
Answer:
1/3
Step-by-step explanation:
Answer: 1/8 of the square
Step-by-step explanation:
What function is related to the graph?
Answer:
f(x) = 2x, x > 2
Step-by-step explanation:
f(x) = 2x, x > 2
Since choices weren't given I only know one of the lines
3f=-2x-4 pls help with this
Answer:
I think it will be f= -2/3x-4/3
I think that is correct I wasn't sure what you were looking for
Step-by-step explanation:
plz help me plz help me plz help me I don't want to get grounded the whole summer. the question is the area of the kite is 24 ft squared what is the value of y explain the area of one triangle with a base of blank feet and a blank of Y fee is blank squared feet so blank and Y equals blank ?
Answer:
hi
Step-by-step explanation:
i need this asnwer too
Winnie collects data from a random sample of seventh graders out of 60 responders 18 attended after school programs of the 220 graders attending winnies school how many would be expected to attend after school programs
Which box plot matches the data set?
10, 14, 20, 24, 30, 40, 43, 45, 46, 48
For this data set, the first quartile is 20, the median is 35, and the third
quartile is 45.
Answer: C
Step-by-step explanation:
Is this correct? Please help me due today.
-8 + 9 · 2 ÷ -3. please explain it to me step by step.
Answer:
-14
Step-by-step explanation:
Type it in a calculator
Answer:
-14
Step-by-step explanation:
positive 9 × 2 = 18 ÷ 3 = -6
negative 6 + negative 8 = - 14
a negative plus a negative always equals a negative
Hope this helps or if you don't understand you can use photo math <3
9. The Osbornes have an annual income of $66,000 and monthly expenses of $5300, and they
are trying to determine whether or not they qualify for Chapter 7 bankruptcy. Their annual
income is greater than that of the median annual income of their state, but they still may be
eligible according to the means test. Help the Osbornes through the steps of the means test to
see if they qualify.
Part I: What is the Osbornes' monthly income?
I
Part II: What is the Osbornes' monthly income minus monthly expenses?
Part III: What is 60 times the answer to Part II?
Part IV: Is the answer to Part III greater than or less than $10,000?
Part V: Are the Osbornes eligible for Chapter 7 bankruptcy according to the means test?
A family qualifies for bankruptcy if the difference between their monthly income and expenditure, multiplied by 60 is greater than $10,000. So, The Osbornes qualify for chapter 7 bankruptcy.
We have the following parameters:
[tex]Annual\ Income = \$66000[/tex]
[tex]Monthly\ Expenses = \$5300[/tex]
To calculate the monthly income, we simply divide the annual income by 12 (12 is the number of months in a year)
So, we have:
[tex]Monthly\ Income = \$66000 \div 12[/tex]
[tex]Monthly\ Income = \$5500[/tex]
The difference between the monthly income and the expenses is:
[tex]Difference = Monthly\ Income - Monthly\ Expenses[/tex]
[tex]Difference = \$5500 - \$5300[/tex]
[tex]Difference = \$200[/tex]
The above result multiplied by 60 is:
[tex]Product = Difference \times 60[/tex]
[tex]Product = \$200 \times 60[/tex]
[tex]Product = \$12000[/tex]
$12000 is greater than $10000
Since $12000 is greater than $10000, then they are eligible for chapter 7 bankruptcy.
Learn more about bankruptcy test at:
https://brainly.com/question/4418659
If the fifth term of an arithmetic sequence is 11 and the common difference is 4, then the sixth term of the sequence is _______.
Answer:
15Step-by-step explanation:
11+4=15
The sixth term of an arithmetic sequence with fifth and common difference of 11 and 4 respectively is 15
Arithmetic sequence formulaaₙ = a + (n - 1)d
where
a = first termd = common differencen = number of termsTherefore,
11 = a + 4d
d = 4
Hence,
11 = a + 4(4)
11 = a + 16
a = 11 - 16
a = -5
Therefore, the sixth term is as follows
a + 5d = a₆
-5 + 5(4) = a₆
a₆ = -5 + 20
a₆ = 15
learn more on arithmetic sequence here: https://brainly.com/question/11242271
Can someone help me plz I don’t understand and its due in a few?
Answer:
Step-by-step explanation:
pattern by pattern
The scatter plot and a line of best fit show the relationship between the number of cramps football players get during a week of practice and the number of cups of water that those players drank on a daily basis.
Which statement describes the relationship between the number of cramps and the number of cups of water?
Answer: A- the number of weekly cramps a football player got decreased by one for every one daily cup of water that the player drank.
Step-by-step explanation:
Answer:
C.
The number of weekly cramps a football player got decreased by one for every one daily cup of water that the player drank.
Step-by-step explanation:
I know its not helpful but i did the study island and it was right, sorry for the inconvineince
Factor the expression: 625t^5-1715t^2
Please show steps!
Answer:
5[tex]t^{2}[/tex](5t-7)(25[tex]t^{2}[/tex]+35t+49)
Step-by-step explanation:
What is the range for
Answer:
In statistics, the range of a set of data is the difference between the largest and smallest values.
Step-by-step explanation:
Easy as pie
Florence has $400 in a savings account. The interest rate is 5% per year and is not
compounded. How much interest will she earn in 1 year?
Use the formula i = prt, where i is the interest earned, p is the principal (starting amount),
is the interest rate expressed as a decimal, and t is the time in years.
Answer:
$20
Step-by-step explanation:
I = 400(.05)(1)
I = 20
What is the solution to the system of equations graphed below?
5-
y = x+1
5
y=-x-1
y=-x-1
y=x+1
Answer:
y+1-1x
Step-by-step explanation:
.................
name four gospels in the order in which they appear in bible plz giving brainliest
Answer:The four gospels that we find in the New Testament, are of course, Matthew, Mark, Luke, and John. The first three of these are usually referred to as the "synoptic gospels," because they look at things in a similar way, or they are similar in the way that they tell the story.
Step-by-step explanation:
Answer:
Matthew, Mark, Luke, and John I think.
Step-by-step explanation:
PLEASE PLEASE HELP ME ASAP I NEED THIS SO BAD
==================================================
Work Shown:
Make sure your calculator is in degree mode.
cos(angle) = adjacent/hypotenuse
cos(37) = 30/x
x*cos(37) = 30
x = 30/cos(37)
x = 37.5640697 approximately
x = 37.6
PLEASE HELP ASAP! DUE TOMORROW!
Answer:
:)
Step-by-step explanation:
28
/ \
2 14
/ \
2 7
Answer:
Step-by-step explanation:
a)
28 can be written and 2 and 14
14 can be written as 2 and 7
b)
2*2*7
arithmetic sequences
Answer:
For 1, you'd have 14, 7, 0, -7
Step-by-step explanation:
Remember arithmetic sequences are adding the same thing (the difference) over and over and over. So in this case, you have the following:
1st blank: 14 + d
2nd blank: 1st blank + d OR (14 + d) + d = 14 + 2d
the -7 then is the 2nd blank + x OR [(14 + d) + d] + d
So you are adding 3d to the 14 to get to the -7. Set that up as the equation:
14 + 3d = -7.
When you solve for d, you get -7. That's what you'll add to 14 to get the first number, then add it again to get the second, etc.
The coefficient in front of d will always be one more than the number of spaces since you are adding the difference to find each blank IN ADDITION TO the last number in the sequence. So #4 would be setup like this:
2 + 5d = 57
Good luck!
Um a number would be okay anything would be helpful
Answer:22.1
Step-by-step explanation: tan44.2=h/100
tan44.2*100=h
22.102863493=h
h=22.1(nearest tenth)
Tommy wants dessert for dinner so his mom is making dinner cupcakes. Her recipe yields 6 cupcakes but she only wants to make 3. Can you halve this recipe so Tommy can have cupcakes for dinner?
Answer:
yes
Step-by-step explanation:
half of 6 is 3 so
PLEASE IM BEGGING YOU
Which is closest to the number of hot chocolates the owner would expect
to sell when the temperature is 38°F?
19
15
23
Answer: the answer is 19
Step-by-step explanation:
What is the area of the triangle?
Answer:
126.5 cm²
Step-by-step explanation:
(23×11)×1/2=Area
(253) × 1/2
=126.5
hope this helped
© Sally borrowed $14,000 at an interest rate
of 10% for 5 years. How much interest did
She pay? Show work and select your answer,