Multiply (x + 2y)(x2 − xy + 3y).

Answer:

It is 10 quarters and 10 nickels

10 x 25 = $2.50

10 x 5 = $0.50

2.50 + 0.50 = $3.00

***I hope this helps

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Answer:

25,160

Step-by-step explanation:

17,000 x 0.04 = 680

Town gains 680 people every year.

After 12 years, town will have 25,160 people.

This could also be wrong because it may be 4%+ the added people from the previous number. However, I think it is 25,160.

Answer:

Open the brackets for this,

x + 9 = -14

x = -14 - 9

x = -23.

-23 is the correct option.

Answer:

Domain: {2,8,30,46}

Range: {-1,9,16}

Step-by-step explanation:

Yes, it is function because each of the elements of x are related or mapped with only one and unique elements of y. That's why the relation is a function.

Answer:

16

Step-by-step explanation:

N equals 12, so

4 + 12 = 16

Answer:

4 + n = 16

Step-by-step explanation:

n = 12 so 4 + 12 is 16

Answer:

15 and 20.

Step-by-step explanation:

The 2 numbers are both divisible by 5.

Listing numbers whose LCM is 60 and divisible by 5.

20 and 30 :- not this as the HCF is 10.

15 and 20 : - HCF = 5 and LCM = 60.

Aviv is thinking of the numbers 60 and 5.

Let's consider the factors of 5 and the prime factorization of 60 to find the two numbers Aviv is thinking of.

The prime factorization of 60 is \(2^2 \times 3 \times 5\).

Since the lowest common multiple of two numbers is the product of their highest powers of prime factors, and we know the lowest common multiple is 60, this suggests that one of the numbers includes \(2^2\), \(3\), and \(5\) as prime factors.

However, we also know that the highest common factor of the two numbers is 5. This means that the second number must include \(5\) as a prime factor.

Putting these pieces together, the two numbers that Aviv is thinking of are \(2^2 \times 3 \times 5 = 60\) and \(5\).

So, Aviv is thinking of the numbers 60 and 5.

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[tex]\large\underline{\sf{Solution-}}[/tex]

We have to evaluate the given expression.

[tex] \rm = \sqrt{ \dfrac{1 - \sin(x) }{1 + \sin(x) } } [/tex]

If we multiple both numerator and denominator by 1 - sin(x), then the value remains same. Let's do that.

[tex] \rm = \sqrt{ \dfrac{[1 - \sin(x)][1 - \sin(x) ]}{[1 + \sin(x)][1 - \sin(x) ]} } [/tex]

[tex] \rm = \sqrt{ \dfrac{[1 - \sin(x)]^{2}}{1- \sin^{2} (x) } } [/tex]

We know that:

[tex] \rm \longmapsto { \sin}^{2}(x) + \cos^{2}(x) = 1[/tex]

[tex] \rm \longmapsto \cos^{2}(x) = 1 - { \sin}^{2}(x)[/tex]

Therefore, the expression becomes:

[tex] \rm = \sqrt{ \dfrac{[1 - \sin(x)]^{2}}{\cos^{2} (x)}} [/tex]

[tex] \rm = \dfrac{1 - \sin(x)}{\cos(x)}[/tex]

[tex] \rm = \dfrac{1}{\cos(x)} - \dfrac{ \sin(x) }{ \cos(x) } [/tex]

[tex] \rm = \sec(x) - \tan(x) [/tex]

[tex] \sqrt{ \frac{ \cos(n) }{1 + \: \sin(n) } } [/tex]

see the attachment!!

hope it helps

#carryolearning

Answer:

8.3

Step-by-step explanation:

Answer:

[tex](a^{2}+b^{2})^{1/3}[/tex]

Step-by-step explanation:

(a² + b²)^1/3

Any number to the power 1/2 means to square root the number

Any number to the power 1/3 means to cube root the number etc.

Answer:

Riley restoration rotators

Answer:

The slope is -1

Step-by-step explanation:

Slope formula:

In (9,-9):   9 is x1 and -9 is y1

In (1,-1):      1 is x2 and -1 is y2

m= y2-y1/x2-x2

m= -1+9/1-9

Which is 8/-8

Simplify:

-1

The slope is -1

Hope this helps!

Answer:

-1

Step-by-step explanation:

To find slope, take the two points and find the RISE/RUN, which is y-y/x-x. Stay consistent with how you order the numbers. In this case, I'll do -1 -(-9) / 1 - 9. That will give you 8/-8, which when simplified gives you -1.

Two point three tens times m equals zero point forty six hundredths

The given equation in the form of a statement can be written as Two times of the sum of the t and 4 times of q is equal to the sum of two times of q and  four times of t.

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

The given equation can be written in the form of an statement as:

Two times of the sum of the t and 4 times of q is equal to the sum of two times of q and  four times of t.

Hence, the given equation in the form of a statement can be written as Two times of the sum of the t and 4 times of q is equal to the sum of two times of q and  four times of t.

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Answer:

I think its um 1.2 im sorry if im wrong

Step-by-step explanation:

Answer:

−10.9

Step-by-step explanation:

−4.6p−6.3p+3.9

Combine −4.6p and −6.3p to get −10.9p.

dp/d (−10.9p+3.9)

−10.9p ^1−1

so it is −10.9

Answer:

Answer:

hope you like my answer its letter B

Answer:

hen she divided 9 by integer b and got −3. Find. Colleen divided integer a by −5 and got 9. Then she divided 9 by integer b and got −3. Find the quotient of integer a and integer b. a b = Categories Uncategorized. Leave a Reply Cancel reply. Your email address will not be published.

Step-by-step explanation:

Answer:

c) 2⁻⁹

Step-by-step explanation:

1) use negative power rule: [tex]x^{-a} =\frac{1}{x^{a} }[/tex]

1/2⁹

2) simplify ₂⁹ to 512

1/512 ( same as (8) ⁻3

Answer:

c

Step-by-step explanation:

Using the rule of exponents

[tex](a^m)^{n}[/tex] = [tex]a^{mn}[/tex]

note that 8 = 2³ , then

[tex](8)^{-3}[/tex]

= [tex](2^3)^{-3}[/tex]

= [tex]2^{3(-3)}[/tex]

= [tex]2^{-9}[/tex] → c

Answer:

1.81

Step-by-step explanation:

becase 4.51 -2.7 equls 1.81 its kinda simple

Answer:

Answer is 1.81

Step-by-step explanation:

The way you get this is by subtracting normally.⤵⤵⤵

[tex] \: \: \: \: 4.51 \\ \frac{ - 2.70}{} [/tex]

1 - 0 = 1

Since you can't subtract 7 from 5 you have to carry over from the next number (4). Take from 4, that leaves 3 in its place, and now you got an extra 1, so you can subtract 7 from 15 to get 8. Now subtract 2 from that 3 to get 1. That's how you get the answer 1.81 .

It's basically a normal subtraction problem, you just have to Remember to put the decimal point in the right place.

Hope this helped :)

if you're looking for someone to double-check I just did and you're right.

Answers:

============================================

Explanation:

The parallel lines show that x = 60 since the 60 and the x angles are alternate interior angles. Alternate interior angles are congruent when we have parallel lines like this.

Focusing on the largest triangle, the three angles add to 180 degrees

x+y+50 = 180

60+y+50 = 180

y+110 = 180

y = 180-110

y = 70

This triangle appears to be equilateral, but it's not entirely so (it's fairly close however). That 50 degree angle in the bottom right corner would need to be 60 degrees for it to be equilateral.

Answer:

For first equation: it would be 5^2 which is 25 so 25 - 9 = 16 then 2(4 - 3) = 2 x 4-3 = 2 x 1 = 2 so 16 divided by 2 = 8

A triangle’s three angles sums up to 180 degrees. So the first thing you should do is subtract 50 from 180

180 - 50 = 130

Since it’s an isosceles triangle, ∠A and ∠B are of equal size. So we divide the result, 130, by two. This would give us the m∠A, which is 65.

130/2 = 65

Answer:

1133.3 liters of water after leakage.

Step-by-step explanation:

x*.30=340

x=340/.30

x=1133.33

The total capacity of the water tank is 1133.33 liters of water after leakage.

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.

We have given Due to leakage, 30% of the water was lost from a water tank. If only 340 liters of water is left in the tank now, then we need to find the total capacity of the water tank.

x*.30 = 340

x = 340/.30

x = 1133.33

Hence, the total capacity of the water tank is 1133.33

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