Identify the coefficient(s) of the variable in the expression below.
25 - 6z

A
z

B
1

C
6

D
25 and 6

Answer:

57

Step-by-step explanation:

5|x^³-2|+7

let x=-2

5|(-2)^3-2|+7

work inside the absolute value first

5|-8-2|+7

5|-10|+7

Take the absolute value, which make it positive

5 *10+7

multiply

50+7

=57

nakita ko lng po yan but hope that helpsツ

Answer:

12/37

Step-by-step explanation:

SOH - CAH - TOA

O = opposite

A = adjacent

H = hypotenuse

Sin = O/H

Sin N = 12/37

Answer:Find sin N

sinN=

hypotenuse/opposite

​12/37

Step-by-step explanation:

Answer:

31/24 menos 5/8 cuanto es 2/3

Step-by-step explanation:

=31/24- 5/8

=31-15/24

= 16/24

=2/3

Hence the final answer is 2/3

Answer:

Solution: {x = 2, y = -1/3}

Step-by-step explanation:

On observation, we see that the y-terms are equal and opposite in sign, therefore to solve the system, we add the two equations.

2x-3y = 5 ..........(1)

3x+3y = 5............(2)

(1) + (2)

2x - 3y + 3x + 3y = 5+5

5x = 10

x = 2 .......(3)

Substitute (3) in (2) and solve for x

3x+3y = 5 .....(2)

3(2) + 3y = 5

3y = 5-6 = -1

y = -1/3  .......(4)

assemble (3) and (4) to give the answer

Solution: {x = 2, y = -1/3}

You can use the power rule for derivatives for each problem (though you could also use the product rule for the fourth curve).

y = x ² + 6x - 1   ==>   dy/dx = 2x + 6

y = x ² - 5x + 1   ==>   dy/dx = 2x - 5

y = 2 - 4x - x ²   ==>   dy/dx = -4 - 2x

y = (1 + x) (7 - x) = 7 + 6x - x ²   ==>   dy/dx = 6 - 2x

--

or, using the product rule,

dy/dx = (1 + x) (-1) + 1 (7 - x) = -1 - x + 7 - x = 6 - 2x

--

Now, stationary points occur where the derivative is zero. We have

2x + 6 = 0   ==>   x = -3

2x - 5 = 0   ==>   x = 5/2

-4 - 2x = 0   ==>   x = -2

6 - 2x = 0   ==>   x = 3

Answer:

see explanation

Step-by-step explanation:

If (x - 1) is a factor then f(1) = 0

Given

f(x) = x³ - 13x² + 32x - 20 , then

f(1) = 1³ - 13(1)² + 32(1) - 20

     = 1 - 13 + 32 - 20

     = 0

Since f(1) = 0 then (x - 1) is a factor

Using Synthetic division

 1  | 1  - 13   32   - 20

      ↓    1   - 12      20    

     -----------------------------

      1    - 12   20     0 ← remainder

quotient = x² - 12x + 20 = (x - 2)(x - 10)

Then

x³ - 13x² + 32x - 20 = (x - 1)(x - 2)(x - 10) ← in factored form

Answer:

10a+3b÷c/3

Step-by-step explanation:

let the first number be a

second be b

third be c

10×a +3×b ÷c÷3

10a+3b÷c/3

=10a+3b÷c/3

Answer:

8.24243226

Step-by-step explanation:

Same as the previous one I answered.

Tan = Opposite/ Adjacent

Adjacent = Opposite / Tan(20)

Answer:

Se requiere 34 meses para producir un interés de 8700 soles.

Step-by-step explanation:

Asumamos que el capital aumenta conforme a una tasa de interés compuesto, cuya fórmula se describe aquí abajo:

[tex]C = C_{o}\cdot \left(1 + \frac{r}{100} \right)^{t}[/tex] (1)

Donde:

[tex]C_{o}[/tex] - Capital inicial, en soles.

[tex]C[/tex] - Capital actual, en soles.

[tex]r[/tex] - Tasa de interés mensual, en [tex]\frac{1}{a}[/tex].

[tex]t[/tex] - Período de capitalización, en años.

Si sabemos que [tex]C_{o} = 42000[/tex], [tex]C = 50700[/tex] y [tex]r = 7\,\frac{\%}{a}[/tex], entonces el período de capitalización es:

[tex]C = C_{o}\cdot \left(1 + \frac{r}{100} \right)^{t}[/tex]

[tex]\frac{C}{C_{o}} = \left(1 + \frac{r}{100}\right)^{t}[/tex]

[tex]\ln \frac{C}{C_{o}} = t\cdot \ln \left(1 + \frac{r}{100}\right)[/tex]

[tex]t = \frac{\ln C - \ln C_{o}}{\ln \left(1+\frac{r}{100} \right)}[/tex]

[tex]t = \frac{\ln 50700 - \ln 42000}{\ln \left(1+\frac{7}{100} \right)}[/tex]

[tex]t = 2.782\,yr[/tex]

Es decir, se requiere 34 meses para producir un interés de 8700 soles.

Question 23

Recall that a kite in geometry is any four sided figure where we have two different pairs of adjacent sides that are the same length.

We're told that PS = 4.5 and RS = 6. So this isn't an adjacent pair of congruent sides. But we can say that PS and PQ are one pair of adjacent congruent sides. That makes PQ to be 4.5 cm long.

Similarly, RS = RQ = 6 is the other pair of adjacent congruent sides. Notice that triangle PQR reflects over line PR to get triangle PSR.

See the diagram below.

Answer:

volume= 502.4cm

Step-by-step explanation:

see attachment for detailed solution

Answer:

Step-by-step explanation:

Formulae for Volume = Pi x r2 x h

Pi = 3.14 or 314/100 because the radius is not a product of 7

Radius = 4 cm

Height = 10 cm

314/100 x 4 x 4 x 10 = 512.4 cm2

= 512.4 cm2

Step-by-step explanation:

if you draw an imaginary perpendicular line across the figure from the vertex which joins the line of 2 cm with the line that is making an angle of X then you can see that this figure is made up of two figures that is a triangle and a rectangle.

now from the angle given i.e X.

perpendicular= 5 cm

base = 14 -2= 12 cm

hypotenuse= ?

we know that,

h² = p²+b²

= 5²+12²=169

h= √169

h= 13

again,

cos X = b/h

= 12/13

Answer:

1<1.35<2

Step-by-step explanation:

Answer:

1.35 is closer to 1 than 2

So the bag of nuts weighed about 1 pound.

Step-by-step explanation:

The decimal is closer to the whole number 1 when plotted on a number line, so it rounds to 1.

Answer:

JMK

Step-by-step explanation:

Answer:

[tex]-\frac{1}{5}[/tex] is the slope of the line.

Step-by-step explanation:

(7 , 1) = (x1 , y1)

(-3 , 3) = (x2 , y2)

slope = y2 - y1/x2 - x1

=3 - 1/-3 - 7

=2/-10

=1/-5

=[tex]-\frac{1}{5}[/tex]

Answer:

A    2:1

B    1:2

Step-by-step explanation:

If there is 24 students and 8 are girls, then 24 - 8 tells you how many are boys.

24 - 8 =  16.

There are 16 boys.

If there is 16 boys and 8 girls, the ratio would be 2 : 1 or 2/1 or 2 because 16  and 8 have a common factor of 8, so both sides can be divided by 8.

Hence the 8 : 2.

Ratios are commonly expressed with a colon, so that is going to be the symbol I'm using to differenciate the numbers.

We can just reverse the ratio since the original was boys to girls, but it is now girls to boys.

1:2

Answer:

Step-by-step explanation:

x/7 - 13 ≥ -11

x/7 ≥ 2

x ≥ 14

m/-6 + 16 ≥ 19

m/-6 ≥ 3

m/6 ≤ -3

m ≤ -18

Answer:

x = 83

Step-by-step explanation:

The sum of the angles of a quadrilateral is 360

75+x+97+105 = 360

Combine like terms

x+277=360

Subtract 277 from each side

x+277-277=360-277

x = 83

it should be false but its been a while since i did that but the expressions should be multiplied together  

Answer:

[tex]7 + a = \sqrt{7b + c}[/tex] --- equation

[tex]a = 3; b =5\ and\ c = 65[/tex] --- the equation is true for these values

[tex]a = 4; b=5\ and\ c = 10[/tex] --- the equation is extraneous for these values

Step-by-step explanation:

Given

[tex]x +2 = \sqrt{3x + 10[/tex]

[tex]x + a = \sqrt{bx + c}[/tex]

Solving (a): Equation to solve for a, b and c, using trial by error where [tex]x = 7[/tex]

We have:

[tex]x + a = \sqrt{bx + c}[/tex]

Substitute 7 for x

[tex]7 + a = \sqrt{7b + c}[/tex] --- This is the equation

Solving (b): Solve for a, b and c --- to make the equation true

[tex]7 + a = \sqrt{7b + c}[/tex]

Let a = 3 ----- Here, we choose a value for a

[tex]7 + 3 = \sqrt{7b + c}[/tex]

[tex]10 = \sqrt{7b + c}[/tex]

Square both sides

[tex]100 = 7b + c[/tex]

Let b = 5 --------- Here, we choose a value for b

[tex]100 = 7*5 + c[/tex]

[tex]100 = 35 + c[/tex]

Subtract 35 from both sides

[tex]c = 65[/tex]

So, [tex]x + a = \sqrt{bx + c}[/tex] is true for

[tex]a = 3; b =5\ and\ c = 65[/tex]

Solving (b): Solve for a, b and c --- to make the equation false

[tex]7 + a = \sqrt{7b + c}[/tex]

Substitute [tex]a = 4; b=5\ and\ c = 10[/tex]

So, we have:

[tex]7 + 4 = \sqrt{7*5 + 10}[/tex]

[tex]11 = \sqrt{35 + 10}[/tex]

Square both sides

[tex]121 = 45[/tex] --- This is false

i.e.

[tex]121 \ne 45[/tex]

Answer:

60 Degree,30 degree

Step-by-step explanation:

BD is bisector of ∠ABC

=> ∠ABD = ∠DBC

=> 3x = x + 20

=> 3x - x = 20

=> 2x = 20

=> x = 20/2  

=> x = 10

Now,

∠ABD = ∠DBC = x + 20 = 10 + 20 = 30 Degree

∠ABC = ∠ABD+∠DBC = 30+30 = 60 Degree

Answer:

Options : B & D

Step-by-step explanation:

E(x) = 10x - 30 , where x is the number of doors she knocks

Given she has to pay her own expense.

So whatever she earns $30 is reduced from it ,for her expense.

Option A: She can earn $10 even if she does not knock

any doors - False

                 That is, x = 0

                 When x = 0 , E (x) = 10 ( 0 ) - 30 = - 30

                 => she loses $30.

Option B :Her expenses are $ 30 per week - True

                E(x) = 10x  - 30

                 Expenses are reduced from her earnings.

Option C: She will lose $10 per week if she does not knock

any doors - False.

                 Already checked on option A that if she does not knock

                 on any door, means x = 0 , then loses $30.

Option D : If she does not knock on any doors at all during

the week , she will lose $30 - True

Answer:

132'500

Step-by-step explanation:

It is like doing tax, you just needed to multiply your number by 0.6

Answer:

$ 7,500

Step-by-step explanation:

commission=6%

House price= $125,000

Commission=6/100 ×125,000

Commission= $ 7,500

Answer:

Step-by-step explanation:

The first term is 2

Therefor t₁ = 2

Each aditional term is 5 times the previous term

That's the second  choice

Step-by-step explanation:

Số gà mái: 24 : 6 x 5 = 20 (con)

Số gà cả đà: 24 + 20 = 44 (con)

=> Tỉ số giữa gà mái và số gà của đàn: 20/44 = 5/11

Answer:

x= 52

Step-by-step explanation: you have a 90 degree angle the other side would be 90 also. you take 90 and subtract 38 to get the missing value?

x = √29

Step-by-step explanation:

By the Pythagorean theorem,

A² + B² = C²

14² + x² = 15²

x² = 15² - 14²

x² = 29

x = √29

Step-by-step explanation:

A^2+B^2=C^2

14^2+x^2=15^2

196 + X^2=225

X^2=225-196

x^2=29

X=√29