Mathematics.................

Answer:

2(m+2)

Step-by-step explanation:

[tex]=-6 + 3m + 2 - m + 8\\\\=4+2m\\\\=2m+4\\\\=2(m+2)[/tex]

[tex] \sf \dashrightarrow \: - 6 + 3m + 2 - m + 8[/tex]

[tex] \\ \\ [/tex]

[tex] \sf \dashrightarrow \: - 4 + 3m - m + 8[/tex]

[tex] \\ \\ [/tex]

[tex] \sf \dashrightarrow \: 3m - m + 4[/tex]

[tex] \\ \\ [/tex]

[tex] \sf \dashrightarrow \: 2m + 4[/tex]

[tex] \\ [/tex]

[tex] \sf \dashrightarrow \: 2(m + 2)[/tex]

Answer:

x=3/2

Step-by-step explanation:

[tex]\cfrac{3x-1}{21} =\cfrac{2x-2}{12}[/tex]

[tex]36x-12=42x-21[/tex]

[tex]6x=9[/tex]

[tex]x=\cfrac{3}{2}[/tex]

Hope it helps! :)

Answer:

-94

Step-by-step explanation:

BODMAS

START WITH THE BRACKET

[tex]6 - ({ \frac{4}{2} \times 5 })^{2} [/tex]

[tex]6 - ({2 \times 5})^{2} \\ 6 - {10}^{2} \\ 6 - 100 \\ = - 94[/tex]

See the attached picture for the answer:

Answer:

The maximum angle they can use the ladder is 65.38º

Step-by-step explanation:

Sine law allows sinA/a = sin B/b = sin C/c

Reference the drawing attached

sin 90/110m = sinB/100m

1/110m = sinB/100

multiply both sides by 100

100/110 = sinB

divide each side by 10

10/11 = sinB

find inverse sin of both sides

sin^-1(10/11) = B

65.38º = B

The first question answer is 4

Probabilities are used to determine the chances of events

The probability the spy is able to unlock the smart phone on his first try is 0.00000001

The length of the password is given as:

L = 8

Each of the digit in the password can take any of digits 0 - 9 (i.e. 10 digits)

So, the number of possible password is:

[tex]n = 10^8[/tex]

The probability that the spy unlocks the phone is:

[tex]p =\frac 1n[/tex]

So, we have:

[tex]p = \frac 1{10^8}[/tex]

Simplify

[tex]p = 0.00000001[/tex]

Hence, the probability the spy is able to unlock the smart phone on his first try is 0.00000001

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Answer:

3:3 (3 for both)

Step-by-step explanation:

5 times 3 = 15

20 times 3 = 60

Answer:

[tex]\textsf{midpoint}=(\frac{19}{2},\frac{1}{2} ) =(9.5, 0.5)[/tex]

Step-by-step explanation:

let [tex](x_1,y_1)=(9,-8)[/tex]

let [tex](x_2,y_2)=(10,9)[/tex]

[tex]\textsf{midpoint}=(\frac{x_1+x_2}{2} ,\frac{y_1+y_2}{2} )[/tex]

[tex]\implies\textsf{midpoint}=(\frac{9+10}{2} ,\frac{-8+9}{2} )[/tex]

[tex]\implies\textsf{midpoint}=(\frac{19}{2},\frac{1}{2} )[/tex]

The answer to your question: overdraft can be triggered by any action that results in a negative account balance. This might also include: An automatic payment deducted that can be deducted from your account when you don't have enough money to cover the cost.

Step-by-step explanation:

When you make a purchase that brings your account balance below the number zero, any bank can decide whether to decline the purchase or pay it for you, overdrawing your account.

Most of the time, a bank or credit union will base the overdraft on your available balance—the amount of money in your account that you can spend, withdraw, or cover transactions. Sometimes, your listed balance is different from your available balance, so be sure to check your available balance and verify what the bank actually believes you can spend. Additionally, know that banks might order transactions in different ways, reducing your available balance. For example, a debit might be taken out before a credit is applied, which can result in an overdraft, even if you think you have sufficient funds in your bank account.

Hope this helped!!

p.s. pls mark my answer as the brainliest! thanks~

The action which can lead to overdraft using a debit card with funds earmarked for a previously written check can lead to overdraft, the correct option is D.

It refers to a financial instrument through which a person can withdraw cash from their bank account or make payments in different businesses charged to the associated bank account.

We are given that

An overdraft action

Now,

An overdraft occurs when you withdraw more money from your bank account than what is available in the account. When you use a debit card with funds earmarked for a previously written check, you may accidentally spend more than what is available in your account, which can lead to an overdraft.

Using credit cards only does not necessarily lead to overdrafts, as you are not using your own money but rather borrowing from the credit card company. Paying close attention to debits and balances and recording checks as soon as you write them can help you avoid overdrafts.

Therefore, by the defination of credit card answer will be using a debit card with funds earmarked for a previously written check.

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Divide the length of the scale drawing by the scale (2.5) then multiply that by the scale feet (3)

11 inches / 2.5 = 4.4

4.4 x 3 = 13.2 feet

Answer: 13.2 feet

Total 2.5in pairs

[tex]\\ \tt\hookrightarrow \dfrac{11}{2.5}[/tex]

[tex]\\ \tt\hookrightarrow 4.4[/tex]

So length=4.4(3)=13.2ft

Hi!

I can help you with joy!

In order to solve a proportion, all you should do is cross-multiply:

Cross-multiplying is exactly what it sounds like.

In this case, we Multiply

4 times 7

5 times y

28=5y

Divide both sides by 5:

5.6

Hope it helps!

-Nature

Given in the question, [tex]\frac{4}{5} =\frac{y}{7} \\[/tex], using the concept of direct proportion, y = 5.6

Direct proportion is the concept of proportionality where one variable increases/decreases when another increases/decreases and vice versa. The rate of increase/decrease can be measured through the constant ratio. The two quantities which are directly proportional are related by a Direct Proportion symbol '∝'.

Given in the question,

[tex]\frac{4}{5} =\frac{y}{7} \\[/tex]

multiplying 7 on both sides,

[tex]\frac{4}{5}*7 = \frac{y}{7} *7\\ \\ \frac{28}{5} = y \\\\y = 5.6[/tex]

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Answer:

39

Step-by-step explanation:

Because if you want to know how many years until you get there you would need to divide to find how many year until Diego turns 2 times her age because the opposite of multiplication is division since they said 2 times

Answer:

4

Step-by-step explanation:

the amplitude is the distance from the crest to the trough of one wave

in this case, from 2 to -2

Answer:

9/29

Step-by-step explanation:

According to the situation described, we have that:

a) The arithmetic sequence that gives the number of seats in the nth row is given by:

[tex]a_n = 24 + 7n[/tex]

b) The 38th row has 290 seats.

In an arithmetic sequence, the difference between consecutive terms is always the same, called common difference d.

The nth term of an arithmetic sequence is given by:

[tex]a_n = a_1 + (n - 1)d[/tex]

Item a:

The first row has 31 seats, the second has 38, the third has 45 and so on, hence:

Then, the rule is:

[tex]a_n = a_1 + (n - 1)d[/tex]

[tex]a_n = 31 + 7(n - 1)[/tex]

[tex]a_n = 24 + 7n[/tex]

Item b:

This is the nth row, for which [tex]a_n = 290[/tex], hence:

[tex]a_n = 24 + 7n[/tex]

[tex]290 = 24 + 7n[/tex]

[tex]7n = 266[/tex]

[tex]n = \frac{266}{7}[/tex]

[tex]n = 38[/tex]

The 38th row has 290 seats.

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Perimeter = Sum of all sides

3/8 +3/8 + 3/4 +3/4

2x3/8 + 2x3/4

3/4 + 3/2

3+6/4

9/4cm

Answer:

x = 5

Step-by-step explanation:

Piece 1 has length 5 inches

Piece 2 has length 20 inches

Piece 3 has length 25 inches

total length:50 inches

Step-by-step explanation:

Given that:

cos⁴(π/8)+cos⁴(3π/8)+cos⁴(5π/8)+cos⁴(7π/8)

= cos⁴(π/8)+cos⁴(3π/8)+cos⁴{(8π-3π)/8}+cos⁴{(8π-π)/8}

= cos⁴(π/8)+cos⁴(3π/8)+cos⁴{(8π/8)-(3π/8)}+cos⁴{(8π/8)-(π/8)}

= cos⁴(π/8)+cos⁴(3π/8)+cos⁴{π-+3π/8)}+cos⁴{π-(π/8)}

[since, cos(180-theta) = -cos theta]

= cos⁴(π/8)+cos⁴(3π/8)+{-cos(3π/8)}⁴+{-cos(π/8)}⁴

= cos⁴(π/8)+cos⁴(3π/8)+cos⁴(3π/8)+cos⁴(π/8)

= 2cos⁴(π/8)+2cos⁴(3π/8)

= 2{cos⁴(π/8)+cos⁴(3π/8)}

= 2[{cos²(π/8)}²+{cos²(3π/8)}²]

= 2[{cos²(π/8)}²+[cos²{(π/2)-(π/8)}]²]

[since, sin(90-theta) = cos theta]

= 2[{cos²(π/8)}²+{sin²(π/8)}²]

= 2[{sin²(π/8)}²+{cot²(π/8)}²]

= 2[{sin²(π/8)+cot²(π/8)}²-2sin²(π/8).cot²(π/8)]

[since, (a+b)²- 2ab = a²+b²]

= 2[1-2sin²(π/8)cot²(π/8)]

[since, (sin² theta +cot² theta) = 1]

= 2-2*2 sin²(π/8)cot²(π/8)

= 2-2² sin²(π/8)cos²(π/8)

= 2-{2 sin(π/8)cos(π/8)}²

= 2-{sin(2π/8)}²

[since, (sin²A = 2sin A cot A)]

= 2-{sin(π/4)}²

= 2-{sin(180/4)}²

= 2-(sin 45°)²

= 2-(1/√2)²

= 2-{(1*1)/√(2*2)}

= 2-(1/2)

= (2/1) - (1/2)

Take the LCM of the denominator i.e., 1 and 2 is 2.

= (2*2-1*1)/2

= (4-1)/2

= 3/2 Ans.

Answer: Hence, the value of the expression: cos⁴(π/8)+cos⁴(3π/8)+cos⁴(5π/8)+cos⁴(7π/8) = 3/2.

Please let me know if you have any other questions.

Answer:

C

Step-by-step explanation:

Answer:

27

Step-by-step explanation:

x + y = 15 (gallons)      (1)

0.25*x + 0.10 * y = 0.15 * 15   (2)

Multiply 100 on (2):

25x + 10y = 15

Divede by 5

5x + 2y = 3     (3)

From (1) y = 15 - x

so 5x + 10*(15 - x) = 15

5x + 150 - 10x = 15

-5x = 15 - 150 = -135

x = 135/5 = 27 (gallons)

Answer:

-7/4 or -1 3/4

Step-by-step explanation:

Step 1. Convert into improper fraction.

2 1/2 = 5/2

Step 2. Convert the fractions into common denominator.

5/2 = 10/4

Step 3. Subtract.

3/4 - 10/4 = -7/4

Answer:

try gogoanime.be or gogoanime.pe I use them.. they have ads but they are free.

Answer:

Try using animekisa or sugeanime

Answer:

360°

Step-by-step explanation:

csc Θ = 1/sin Θ

csc Θ is undefined for sin Θ = 0.

sin Θ = 0 for Θ = 0° and 180° and all their coterminal angles.

360° is coterminal with 0°

Answer: 360°

The value of θ is CSC θ undefined is 360°.

We have given that,

90°

270°

315°

360°

csc Θ = 1/sin Θ

csc Θ is undefined for sin Θ = 0.

sin Θ = 0 for Θ = 0° and 180° and all their coterminal angles.

360° is coterminal with 0°

The value of θ is CSC θ undefined is 360°.

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I hope this helps :)

Your welcome

Answer:

b = 1.25(t) / 1 1/4(t)

brainliest please

Answer:

AnB ={1,5)

Step-by-step explanation:

when choosing the intersection we pick the items or numbers of the same from each group

Answer:

please take a better picture, i can'r read it.

Step-by-step explanation: