Solve Sec 5theta/4=2

Answers

Answer 1

Answer: $\sec(5\theta)/(4)=2\n (1)/(\cos (5\theta)/(4))=2\n \cos (5\theta)/(4)=(1)/(2)\n (5\theta)/(4)=(\pi)/(3)+2k\pi \vee (5\theta)/(4)=-(\pi)/(3)+2k\pi\n 5\theta=(4\pi)/(3)+8k\pi \vee 5\theta=-(4\pi)/(3)+8k\pi\n \boxed{\theta=(4\pi)/(15)+(8k\pi)/(5) \vee \theta=-(4\pi)/(15)+(8k\pi)/(5)}$

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Solve algebraically
x-4y=-10
x+y=5

Answers

Answer:

if x+y=5, then x=5-y

so x-4y=-10

5-y-4y=-10

5-5y=-10

-5y=-15

y=3

x=5-y

x=5-3

x=2

x=2; y=3

#1. A research group interested in understanding the effect of listening to classical music on learning mathematics conducted a study. One hundred students were randomly assigned to one of two groups. The first group listened to classical music as they learned a new lesson. The second group learned the same lesson with no music playing. Both groups were tested on the new material to determine how much they learned. The results for the two groups were compared. What kind of study is this?A. This is an observational study because students were randomly assigned to groups.

B. This is an observational study because a treatment was applied to both groups.

C. This is an experiment because a treatment was applied to a group.

D. This is an experiment because students were able to choose which group to join.

#3. ......Angie, a student in an advanced statistics course, was given an algebra test and she scored 80%. Is this an accurate predictor of how well students in the algebra class will perform on the test?

A. Yes, because Angie is representative of the population in the algebra class

B. Yes, because Angie scored high on the test so it must be easy

C. No, because Angie is not representative of the population in the algebra class

D. No, because Angie scored too high on the test

Answers

The correct answer to the first situation would be letter C. The situation was an experiment because a treatment was applied to the group (which in this case, is the experimental group).

The correct answer to the next question would be letter C. Angie is NOT are representative of the population in the algebra class.

An online bank statement reads as follows: Account balance: $986.24

Car payment: $203.34
Gas bill: $96.67
Check deposit: $1289.60
Cash deposit: $45
Debit card transaction: $67.12
ATM withdrawal: $30

Find the current account balance to date.

A. $1,923.71
B. $937.47
C. $1,726.52
D. $1,555.33

Answers

Answer:

Option A. $1,923.71would be correct

Step-by-step explanation:

Account balance : $986.24

Total deductions = Car payment + Gas bill + Debit card transaction + ATM withdrawal

Total deductions = 203.34 + 96.67 + 67.12 + 30 = $397.13

Now subtract the total of payments and withdrawals from initial balance

986.24 - 397.13 = $589.11

Now add all the check and cash deposits

Total deposits = Check deposit + Cash deposit

Total deposits = 1289.60 + 45.00 = $1334.60

$589.11 + 1334.60 = $1923.71

Current account balance to date would be $1923.71.

Final answer:

The current balance of the account is $1923.71. This is calculated by adding the deposits to the initial balance and then subtracting the various expenses and withdrawals.

Explanation:

To find the current bank account balance, we start with the initial balance and add any deposits. After that, we subtract all the expenses and withdrawals. In this case, the initial balance is $986.24. We add the check deposit of $1289.60 and the cash deposit of $45, and get $2320.84. Then we subtract the car payment of $203.34, the gas bill of $96.67, the debit card transaction of $67.12, and the ATM withdrawal of $30. The resulting balance, $1923.71, is the final balance to date.

Learn more about Bank Account Balance Calculation here:

brainly.com/question/34350506

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Olivia and her friends went to a movie at 1:50 P.M. The movie ended at 4:10 P.M. How long was the movie?

Answers

Answer: The movie was 2 hours and 20 minutes long.

Step-by-step explanation:

basic adding + subtracting

6b − 1 ≤ 41 or 2b + 1 ≥ 11

Answers

Answer:

b $\leq$ 7 or b $\geq$ 5

Step-by-step explanation:

6b-1 $\leq$ 41 or 2b+1 $\geq$ 11

+1 to both sides to get 6b $\leq$ 42

then divide both sides by 6 to get b $\leq$ 7

then for the other side you -1 by both sides to get 2b $\geq$ 10

then divide both sides by 2 to get b $\geq$ 5

then your final answer would be b $\leq$ 7 or b $\geq$ 5.

If prizes for a carnival are priced at 5 for 80 cents. how much would 250 prices cost?

Answers

ratio and proprtion
number of prized to price is 5 to 80 or 5/80 which can be simplified to 1/16
1 price to 16 cents equals 250 prizes to x cents
1/16=250/x
times both sides by 16x aka cross multiply
x=250*16
x=4000 cents or $40 for 250 prizes

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