What’s the answer please

Answer:

[tex]\huge \boxed{a = 2b + 6c}[/tex]

Step-by-step explanation:

b = 1/2a - 3c

Add 3c to both sides of the equation.

b + 3c = 1/2a - 3c + 3c

b + 3c = 1/2a

Switch sides.

1/2a = b + 3c

Multiply both sides of the equation by 2.

2(1/2a) = 2(b + 3c)

a = 2b + 6c

Step-by-step explanation:

[tex]b = \frac{1}{2} a- 3c[/tex]

Multiply both sides ✖ of the equation by 2

[tex]2b = a - 6c[/tex]

Move the variable to the left-hand side and change its sign

[tex] - a + 2b = - 6c[/tex]

MOVE THE VARIABLE TO THE RIGHT-HAND SIDE AND CHANGE ITS SIGN

[tex] - a = - 6c - 2b[/tex]

Change the sign on both sides of the equation

[tex]a = 6c + 2b[/tex]

Therefore the answer is

[tex]a = 6c + 2b[/tex]

A.

[tex]y=\sin(x^2+3x-1)[/tex]

[tex]\implies y'=\cos(x^2+3x-1)(x^2+3x-1)'=(2x+3)\cos(x^2+3x-1)[/tex]

B.

[tex]y=x^3+\sin x[/tex]

[tex]\implies y'=3x^2+\cos x[/tex]

[tex]\implies y''=6x-\sin x[/tex]

[tex]\implies y'''=6-\cos x[/tex]

C.

[tex]y=\left(x+\dfrac1x\right)^2[/tex]

[tex]\implies y'=2\left(x+\dfrac1x\right)\left(x+\dfrac1x\right)'=2\left(x+\dfrac1x\right)\left(1-\dfrac1{x^2}\right)=2\left(x-\dfrac1{x^3}\right)[/tex]

D.

[tex]y=(5x-2)^{-2}[/tex]

[tex]\implies y'=-2(5x-2)^{-3}(5x-2)'=-10(5x-2)^{-3}=\dfrac{10}{(2-5x)^3}[/tex]

Hi there! :)

Answer:

[tex]\huge\boxed{-5.5q - 7}[/tex]

-(5.5q + 7)

Distribute:

-(5.5q) -(7)

-5.5q - 7

Answer:

Z≥0 = {0, 1, 2, .

Step-by-step explanation:

Just took test

Answer:

Step-by-step explanation:

Multiply the monomial by each and every term of the polynomial

        = (3ax) (2x) - (3ax) (ax) + (3ax) (5)

 = 6ax^2 - 3a^2x^2 + 15ax

Answer:

64°

Step-by-step explanation:

If two angles add up to give 90°, that are said to be complementary. One is a complement of the other.

Therefore, given that the measure of an angle, angle A = 26°, the measure of the complement of angle A = 90 - 26 = 64°.

The measure of the complement of angle A, is 64°.

Answer:

-37

Step-by-step explanation:

[tex]a_{1}=-2\\a_{n}=2a_{n-1}-3\\a_{2}=2a_{1}-3=2(-2)-3=-4-3=-7\\a_{3}=2a_{2}-3=2(-7)-3=-14-3=-17\\a_{4}=2a_{3}-3=2(-17)-3=-34-3=-37[/tex]

Answer:

The solution set is {-3, -6}.

Step-by-step explanation:

x^2 + 18 = -9x

x^2 + 9x + 18 = 0

(x + 3)(x + 6) = 0

x = -3, -6.

Answer:(2,16),(3,24),(4,32),(5,40)

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

4^10/4^10 x 7^O =

= 4^(10 - 10) * 1

= 4^0 * 1

= 1 * 1

= 1

Answer:

1

Step-by-step explanation:

4^10/4^10 = 1

7^0 = 1

1 x 1 = 1

Answer: x=16

Step-by-step explanation:

Answer: Hi!

Since 5 is being multiplied by x, and x is equal to 2, be would multiply 5 and 2. 5 * 2 is equal to 10.

Hope this helps!

Answer:

Step-by-step explanation:

Answer:

Sara has $144 at the beginning of the month.

Step-by-step explanation:

At the beginning of the month, x = 0 because no days have passed since the beginning of the month. When x = 0, g(0) = -4.5(0) + 144 = 144, therefore, we know that Sara has $144 on her card at the beginning of the month.

Answer:

a.   [tex]X(T) = 120 (1.058)^T[/tex]

b.   Population after 3 years is 142

c.   50 years

Step-by-step explanation:

Given

Type of growth: Exponential

Initial number of rats = 120

Number of rats (15months) = 280

Solving (a)

Since the growth type is exponential, we make use of the following exponential progression

[tex]X_T = X_0 (1 + R)^T[/tex]

Where Xo is the initial population;

Xo = 125

[tex]X_T[/tex] is the current population at T month

So;

[tex]X_T = 280[/tex]; when [tex]T = 15[/tex]

Substitute these values in the above formula

[tex]280 =120 * (1 + R)^{15}[/tex]

Divide both sides by 120

[tex]\frac{280}{120} =(1 + R)^{15}[/tex]

[tex]2.3333 =(1 + R)^{15}[/tex]

Take 15th root of both sides

[tex]\sqrt[15]{2.3333} =1 + R[/tex]

[tex]1.05811235561 = 1 + R[/tex]

Subtract 1 from both sides

[tex]R = 1.05811235561 - 1[/tex]

[tex]R = 0.05811235561[/tex]

[tex]R = 0.058[/tex] (Approximated)

Plug in values of R and Xo in [tex]X_T = X_0 (1 + R)^T[/tex]

[tex]X_T = 120 (1 + 0.058)^T[/tex]

[tex]X_T = 120 (1.058)^T[/tex]

Write as a function

[tex]X(T) = 120 (1.058)^T[/tex]

Hence, the function is [tex]X(T) = 120 (1.058)^T[/tex]

Solving (b):

Population after 3 years

In this case, T = 3

So:

[tex]X(T) = 120 (1.058)^T[/tex]

[tex]X(3) = 120 (1.058)^3[/tex]

[tex]X(3) = 120 * 1.18466445254[/tex]

[tex]X(3) = 142.159734305[/tex]

[tex]X(3) = 142[/tex] (Approximated)

Solving (c): When population will reach 2000

Here: X(T) = 2000

So:

So:

[tex]2000 = 120 (1.058)^T[/tex]

Divide both sides by 120

[tex]\frac{2000}{120} = 1.058^T[/tex]

[tex]16.667 = 1.058^T[/tex]

Take Log of both sides

[tex]Log(16.667) = Log(1.058^T)[/tex]

Apply law of logarithm

[tex]Log(16.667) = TLog(1.058)[/tex]

Divide both sides by Log(1.058)

[tex]T = \frac{Log(16.667)}{Log(1.058)}[/tex]

[tex]T = 49.9009236926[/tex]

Approximate

[tex]T = 50\ years[/tex]

Answer:

About $6000  

Step-by-step explanation:

Multiply 689 × 9.

When you are estimating, you should round the numbers off to values that you can easily work in your head.

I would round 9 up to 10 and 689 down to 600 to compensate. Then,

10 credit hours × $600/credit hour ≈ $6000.

It should cost about $6000 to register for 9 credit hours.

Step-by-step explanation:

Q is inversely proportional to P is written as

[tex]Q \: \: \alpha \: \frac{k}{P} [/tex]

where k is the constant of proportionality

we must first calculate the relationship between them

So we have

when Q = 0.25

P = 2

Substitute the values into the above equation

That's

[tex]0.25 = \frac{k}{2} [/tex]

Cross multiply

We have

k = 0.25 × 2 = 0.5

So the formula for the variation is

[tex]Q = \frac{0.5}{P} [/tex]

when P = 5

We have

[tex]Q = \frac{0.5}{5} [/tex]

We have the answer as

When Q = 0.2

We have

[tex]0.2 = \frac{0.5}{P} [/tex]

Cross multiply

That's

0.2P = 0.5

Divide both sides by 0.2

We have the answer as

Hope this helps you

Answer:

[tex] 2ab^2 -d^3 + c [/tex]

Step-by-step explanation:

Given the expression [tex] 2ab^2 - (d^3 - c) [/tex], all you need to do to evaluate the expression is to open the bracket.

Use the negative sign to multiply all the terms within the bracket alongside the sign they carry.

Thus,

[tex] 2ab^2 - (d^3 - c) = 2ab^2 -d^3 + c [/tex] (negative sign multiplied by negative sign equal positive sign)

We cannot evaluate [tex] 2ab^2 -d^3 + c [/tex] further. The me three terms are different from one another. There are no like terms.

Answer:

[tex]$\frac{51}{5}t$[/tex]

Step-by-step explanation:

Let W = [tex]$(p_0, p_1, p_2)$[/tex]  be orthogonal polynomials which is equal to [tex]$(4, 3t, t^2 -2)$[/tex], which defines the inner products as

[tex]$(f,g)=f(-2)g(-2)+f(-1)g(-1)+f(0)g(0)+f(1)g(1)+f(2)g(2)$[/tex]

Now, we find the orthogonal projection of [tex]$p=3t^3$[/tex] on W.

So the projection is

[tex]$Proj_W p = \frac{(p_0,p)}{(p_0,p_0)}p_0+\frac{(p_1,p)}{(p_1,p_1)}p_1+\frac{(p_2,p)}{(p_2,p_2)}p_2$[/tex]

[tex]$(p_0,p)=p_0(-2)p(-2)+p_0(-1)p(-1)+p_0(0)p(0)+p_0(1)p(1)+p_0(2)p(2)$[/tex]

          [tex]$=4(-24)+4(-3)+4(0)+4(3)+4(24)=0$[/tex]

[tex]$(p_0,p_0)=p_0(-2)p_0(-2)+p_0(-1)p_0(-1)+p_0(0)p_0(0)+p_0(1)p_0(1)+p_0(2)p_0(2)$[/tex]

            [tex]$=4(4)+4(4)+4(4)+4(4)+4(4)=80$[/tex]

[tex]$(p_1,p)=p_1(-2)p(-2)+p_1(-1)p(-1)+p_1(0)p(0)+p_1(1)p(1)+p_1(2)p(2)$[/tex]

          [tex]$=(-6)(-24)+(-3)(-3)+0(0)+3(3)+6(24)=306$[/tex]

[tex]$(p_1,p_1)=p_1(-2)p_1(-2)+p_1(-1)p_1(-1)+p_1(0)p_1(0)+p_1(1)p_1(1)+p_1(2)p_1(2)$[/tex]

            [tex]$=(-6)(-6)+(-3)(-3)+0(0)+3(3)+6(6)=90$[/tex]

[tex]$(p_2,p)=p_2(-2)p(-2)+p_2(-1)p(-1)+p_2(0)p(0)+p_2(1)p(1)+p_2(2)p(2)$[/tex]

         [tex]$=2(-24)+(-1)(-3)+(-2)(0)+(-1)(3)+2(24)=0$[/tex]

[tex]$(p_2,p_2)=p_2(-2)p_2(-2)+p_2(-1)p_2(-1)+p_2(0)p_2(0)+p_2(1)p_2(1)+p_2(2)p_2(2)$[/tex]

            [tex]$=(2)(2)+(-1)(-1)+(-2)(-2)+(-1)(-1)+2(2)=14$[/tex]

Therefore,

[tex]$Proj_W p = \frac{(p_0,p)}{(p_0,p_0)}p_0+\frac{(p_1,p)}{(p_1,p_1)}p_1+\frac{(p_2,p)}{(p_2,p_2)}p_2$[/tex]

              [tex]$=\frac{0}{80}(4)+\frac{306}{90}(3t)+\frac{0}{14}(t^2-2)$[/tex]

              [tex]$=\frac{51}{5}t$[/tex]

Answer:

The answer of the question is 10.53%.

Answer: Number 1- you make 7 bracelets in 1 hour.

Step-by-step explanation:

Number 1- You divide 35 by 5 and get 7. The hour (5) goes at the denominator and the number of bracelets(35)goes on the numerator and you divide

Answer:

The  margin of error is  [tex]E = 0.021[/tex]

Step-by-step explanation:

From the question we are told that  

   The  population size is  [tex]n = 2161[/tex]

    The number that showed improvement is  [tex]k = 1214[/tex]

Generally the sample proportion is mathematically represented as

        [tex]\r p = \frac{ 1214}{2161}[/tex]

=>     [tex]\r p = 0.56[/tex]

Given that the confidence level is  95% then the level of significance is mathematically represented as

        [tex]\alpha =(100-95) \%[/tex]

=>     [tex]\alpha =0.05[/tex]

The  critical value of [tex]\frac{\alpha }{2}[/tex] from the normal distribution table is  

      [tex]Z_{\frac{\alpha }{2} } = 1.96[/tex]

Generally the margin of error is mathematically represented as

        [tex]E = Z_{\frac{\alpha }{2} } * \sqrt{\frac{\r p (1 - \r p )}{n} }[/tex]

=>      [tex]E = 1.96 * \sqrt{\frac{ 0.56(1 - 0.56 )}{2161} }[/tex]

=>      [tex]E = 0.021[/tex]

Answer:

minimum is -3,0

Step-by-step explanation:

Answer:

145

Step-by-step explanation:

Rate (no. of pages per hour)

= 87 ÷ 3

= 29

5 hours

= no. of pages per hour × 5

= 29 × 5

= 145

hope it helps :))

Answer:

the answer is one twelve 1/12

Answer: $1.6

Step-by-step explanation:

price × percentage of tax=amount of tax

$20 × 8%=20 × 0.08= $1.6

Hope this helps!! :)

Answer:580

Step-by-step explanation:

Answer:

C'(-5, 2)

Step-by-step explanation:

Rule to be followed for a point rotated 180° about the origin,

(x, y) → (-x, -y)

From the figure attached,

When ABCD is rotated 180° about the origin, the new points of the image will be

A(2, 0) → A'(-2, 0)

B(4, 0) → B'(-4, 0)

C(5, -2) → C'(-5, 2)

D(1, -2) → D'(-1, 2)

Therefore, image of C will be C'(-5, 2).

Answer:

19

Step-by-step explanation:

first you would combine like terms to get 5x^2-3x-7. plug in -2 into the x's and you will get 19!

Answer:

129.168

Step-by-step explanation:

multiply- 140.40*0.08=11.232

subtract- 140.40-11.232= 129.168

Answer:

$540

Step-by-step explanation:

We know Damien earned $9 per hour, worked 30 hours a week and was paid every 2 weeks.

We can write an expression to something like this:

(9 x 30) x 2

Which would give us 540

The question asks for the Gross income (the total income, before any taxes or deductions)

Which means that his gross income was $540