5. Diberi g: x + px?- qx dengan keadaan p dan q ialah pemalar. Jika g(3) = 12 dan
9(4) = 28, cari nilai p dan q.​

Answer:

[tex]26.68\ \text{feet}[/tex]

Step-by-step explanation:

a = 100 feet

[tex]\angle B=20^{\circ}[/tex]

[tex]\angle C=45^{\circ}[/tex]

[tex]\angle A=180-(20+45)=115^{\circ}[/tex]

From sine rule we have

[tex]\dfrac{\sin B}{b}=\dfrac{\sin A}{a}\\\Rightarrow b=\dfrac{\sin B}{\sin A}a\\\Rightarrow b=\dfrac{\sin 20^{\circ}}{\sin 115^{\circ}}\times 100\\\Rightarrow b=37.73\ \text{feet}[/tex]

[tex]\sin C=\dfrac{h}{b}\\\Rightarrow h=b\sin C\\\Rightarrow h=37.73\times \sin 45^{\circ}\\\Rightarrow h=26.68\ \text{feet}[/tex]

The is seagull is [tex]26.68\ \text{feet}[/tex] above the ground.

Answer:

Cuba, Venezuela, Colombia, Mexico

Answer:

$22,200 over all

Step-by-step explanation:

The compound interest after 20 years is $22700.

Compound interest is the interest you earn on interest. Compound interest is the interest calculated on the principal and the interest accumulated over the previous period.

For the given situation,

The principle, p = $10,000

Rate of interest, r = 6.1% = 0.061

Compounded continuously, n = 1

Number of years, T = 20

The amount formula of compound interest is

[tex]A=p(1+\frac{r}{n} )^{T}[/tex]

On substituting the above values,

⇒ [tex]A=10000(1+\frac{0.061}{1} )^{20}[/tex]

⇒ [tex]A=10000(1.061)^{20}[/tex]

⇒ [tex]A=32681.9[/tex] ≈ [tex]32682[/tex]

The compound interest can be calculated as

[tex]CI=A-P[/tex]

⇒ [tex]CI=32682-10000[/tex]

⇒ [tex]CI=22682[/tex] ≈ [tex]22700[/tex]

Hence we can conclude that the compound interest after 20 years is $22700.

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Answer:

about 48%

Step-by-step explanation:

I just took the quiz

The percentage of the Cherry Hill residents polled supported Zhang is 51.61%.

A percentage is a number or ratio that can be expressed as a fraction of 100. Percentage can be calculated by dividing the value by the total value, and then multiplying the result by 100.

For the given situation,

The relative frequency table shows a survey of two communities asked residents which candidate they supported for a local election.

Candidates supported Zhang in Cherry hill = 0.32

Total candidates in Cherry hill = 0.62

Percentage of the Cherry Hill residents polled supported Zhang is

⇒ [tex]\frac{0.32}{0.62}(100)[/tex]

⇒ [tex]0.5161(100)[/tex]

⇒ [tex]51.61\%[/tex]

Hence we can conclude that the percentage of the Cherry Hill residents polled supported Zhang is 51.61%.

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Answer:

30

Step-by-step explanation:

Answer:

nope u dont need to buy more

Step-by-step explanation:

u have 1/2 cup after spilling but the recipe only needs 1/3 which is less

Answer:

We have 15 Nickels and 10 Dimes.

Step-by-step explanation:

This is a system of equations! [Literally in a class reviewing that rn}

Lets make a chart:

    Number of Coins  x  Value of Coin = Total Value

Dimes  |   d               |   10                          | 10d

Nickels |   n               |  5                           | 5n

So, When you have a System of Equations with Money, One equations is about the value of the money, and the other about the number of coins.

The First Equation [Number of Coins]:

D + N = 25

the Second Equation [Value of Money]:

10D + 5N = 175

I will use Elimination to solve this, however, graphing and substitution works too.

ELIMINATION:

Multiply First equation by -5

-5[D + N = 25] = -5D - 5N = -125

Add the Two Equations vertically.

-5D - 5N = -125

10D + 5n = 175

---------------------

5D = 50

Divide both sides by 5.

5D/5 = 50/5

D = 10

Substitute D= 10 In any equation and solve for the other variable.

10 + N = 25

Subtract 10 from both sides.

10 - 10 + N = 25 - 10

N = 15

So, we have 15 Nickels and 10 Dimes.

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

Hope I Helped, have a Great Day!

        -Aadi x

Answer:

I need more info

Step-by-step explanation:

The value of b that goes with this value of a is 15.

A mathematical phrase, rule, or law that establishes the link between an independent variable and a dependent variable (the dependent variable). In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences. The German mathematician Peter Dirichlet initially offered the contemporary definition of function in 1837: A variable y is said to be a function of the independent variable x if there is a relationship between them such that whenever a numerical value is assigned to x, there is a rule that determines a specific value of y.

As per the given data:

b = 4a - 5

The values of a and c are given in the table correspondingly.

When c is 21

The value of a = 5 and

The value of b = 4(5) -5 = 15

Hence, the value of b that goes with this value of a is 15.

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(The question given is incomplete, the complete question is given below.)

The equation and the tables represent two different functions. Use the equation b=4a-5 and the table to answer the questions. This table represents C as a function of A.

when c is 21 what is the value of a what is the value of b that goes with this value of a

Answer:

2x² + 7x + 6

Step-by-step explanation:

To solve this polynomial, you need to distribute/multiply, (x+2) with (2x+3).

You would first multiply (x) with 2x and 3. This would give you 2x² and 3x. You would then multiply 2 with 2x and 3. This would give you 4x and 6. You then add the like-terms, which are 3x and 4x, which gives you 7x. This would give you your final expression of 2x² +7x + 6.

(x+2)(2x+3)

2x²+ 3x + 4x + 6

2x² +7x + 6

Answer:

2x^2+7x+6

Step-by-step explanation:

Expand the polynomial (An algebraic expression) using the FOIL (First, Outer, Inner, Last) method.

2x^2+7x+6

(x+2)(2x+3)

First, multiply the variables (x).

(x)(2x) = 2x^2

Then, multiply the whole numbers (2, 3).

(2)(3) = 6

Now, you're not done. You need to multiply the variables and the whole numbers (that weren't already multiplied together)

(x)(3) = 3x

(2)(2x) = 4x

Finally, add them all together, and simplify.

2x^2 + 6 +3x + 4x

=

2x^2+7x+6

Answer:

b

Step-by-step explanation:

-2xa ×-4xb=8xa+b

-2xa×-2x3=4xa+3

-2xa×5x=10xa+1

Answer:

im answering so u can give the other person brainlist your welcome

<3 answered your ? love

Answer:

pi 50 x^4

Step-by-step explanation:

The volume of a cylinder is

V = pi r^2 h

The radius is 5x  and the height is 2x^2

V = pi (5x)^2 * 2x^2

V = pi ( 25x^2) (2x^2)

   = pi 50 x^4

Answer:

[tex]50\pi x^{5}[/tex]

Step-by-step explanation:

50π[tex]x^{5}[/tex]

Answer:

464feet

Step-by-step explanation:

USing the SOH CAH TOA identity

Hypotenuse = 5,328feet

Angle of elevation - 5 degrees

Required

Opposite = x

Since

Sin theta = opp/hyp

sin 5 = x/5,328

x = 5,328sin5

x  = 464.36

x = 464feet to the nearest foot

Answer:

y = -7/2x +17

Step-by-step explanation:

First, lets put the original equation into slope intercept form which is y=mx+b

7x + 2y = -8

subtract 7x on both sides

2y = -7x -8

divide by 2 on both sides

y = -7/2x - 8/2

y = -7/2x - 4

now we can plus in any x and y values to get a new b, which is our y intercept.

lets use (4,3)

Also, since they are parallel, their slope (m) will be the same.

y = -7/2x + b

3 = -7/2(4) + b

3 = -14 + b

b = 17

lets plug in our new b into our original equation

y = -7/2x + 17

The value of [y] = 7 and that of [x] = 6.

The general equation of a straight line is -

[y] = [m]x + [c]

where -

[m] → is slope of line which tells the unit rate of change of [y] with respect to [x].

[c] → is the y - intercept i.e. the point where the graph cuts the [y] axis.

The equation of a straight line can be also written to express proportional relationship as -

y = kx  {k is constant}

We have a equation that represents a line as -

7x + 2y = - 8

We can write -

7x + 2y = - 8

2y = - 7x - 8

y = (-7/2)x - 4

Options are not given, so the line whose slope will be (-7/2) will be parallel to the given line with equation 7x + 2y = - 8

Therefore, line whose slope will be (-7/2) will be parallel to the given line with equation 7x + 2y = - 8

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Step-by-step explanation:

[tex] {x}^{2} - 6x - 16 = 0[/tex]

[tex] {x}^{2} - 6x = 16[/tex]

[tex] {x}^{2} - 6x + 9 = 16 + 9[/tex]

There two ways you can go this route.

Route 1

[tex](x - 3) {}^{2} = 25[/tex]

[tex](x - 3) {} = 5[/tex]

[tex]x = 8[/tex]

And

[tex]x - 3 = - 5[/tex]

[tex]x = - 2[/tex]

The roots are 8,-2

Answer:

x=-2,8

Step-by-step explanation:

x2 - 6x - 16 = 0

x²-8x+2x-16=0

x(x-8)+2(x-8)=0

(x-8)(x+2)=0

either

x=8

or

x=-2

Answer:

x=-5,\:y=-2 sorry if I'm wrong  symbolab

Step-by-step explanation:

Answer:

1.84

Step-by-step explanation:

I think you gave the wrong information because if you divided 81 by 44 you will get 1.84...

Answer:

$36

Step-by-step explanation:

Use the simple interest formula, I = prt

Plug in the interest rate, original amount of money, and number of years:

I = prt

I = (150)(0.08)(3)

I = 36

So, $36 in interest would be made

Answer:

We see that SR is a diameter, therefore Δ SRT is right triangle with ∠STR = 90°

∠ROQ, ∠RST and ∠TRQ all intercept the same arc RT

∠ROQ is twice the ∠RST and ∠TRQ as the central angle:

PQ is tangent to circle, therefore:

Answer:

54.97

Step-by-step explanation:

Answer:

12 different toppings

Step-by-step explanation:

Total combination / (number of syrup * Numbe rod ive cream flavors)

540 / (9*5)

540 / 45

= 12

Complete question :

Find the balance in the amount after the given period. 5000 principal earning 7% compounded annually for 7 years

Answer:

8,028.91

Step-by-step explanation:

Given :

Principal, P = 5000

Rate, r = 7% = 0.07

Period, t = 7 years

Using the compound interest formula :

A = P(1 + r/n)^nt

A = final amount ; n = number of compounding times per period

A = 5000(1 + 0.07/1)^(1*7)

A = 5000(1 + 0.07)^7

A = 5000(1.07)^7

A = 5000 * 1.60578147647843

A = 8028.90738239215

Amount saved = 8,028.91

Answer:

384

Step-by-step explanation: i think all the base lengths are equivalent? if they arent then the answer is wrong but i used the measurements they gave us

Step-by-step explanation:

Total cards that deck contains= 5+4+2+1=12 ( as mentioned in question)

So,

1. Probability of getting blue card is 1/12

2. Probability of getting a red card is 2/12=1/6

hope it helps

Answer:

20.4

Step-by-step explanation:

The answer is 2011.4

Answer:

Step-by-step explanation:

A

Answer:

The answer is "0.274 and 0.841"

Step-by-step explanation:

Given:

In this question, let X  the binomial random variable with the parameters:

[tex]n = 1000\\\\P = 0.193[/tex]

Calculating the random variable Z:

[tex]Z= \frac{X - np}{\sqrt{np(l - p)}}=\frac{x -193}{12.48}[/tex]

is an approximately regular, cumulative random variable with [tex]\Phi[/tex] specified in the back of the book in the tables.

Using the continuity and tables to calculate:

[tex]\to \mathbb{P} (X > 200) = \mathbb{P} (X\geq 200.5) \approx \mathbb{P}(Z\geq 0.6)=1- \Phi(0.6) \approx 0.274 \\\\\to \mathbb{P} (180 < X < 300) = \mathbb{P} (180.5 \leq X \leq 299.5) = \approx \mathbb{P} (-1 \leq Z\leq 8.53) = \approx 1- \Phi(-1) \approx 0.841[/tex]

(a) The probability that more than 200 persons throughout the sample have a disability will be "0.08691".

(b) The probability that between 180 - 300 people throughout the sample have a disability will be "0.85122".

According to the question,

Majority percentage, P = 19.3% or,

                                       = 0.193

Sample person, n = 1000

Q = 1 - P

   = 1 - 0.193

   = 0.807

By using Normal approx. to Binomial,

→ Mean, E(X) = n × P

By substituting the values,

                     = 1000 × 0.193

                     = 193

Standard deviation, X = √n × p × Q

                                      = √1000 × 0.193 × 807

                                      = 12.4800  

(a)

Z = [tex]\frac{X - \mu}{\sigma}[/tex]

  = [tex]\frac{210-193}{12.48}[/tex]

  = 1.36

The probability be:

→ P(X > 210) = 1 - P (Z < 1.36)

                    = 1 - 0.9131

                    = 0.08691

(b)

Z = [tex]\frac{X - \mu}{\sigma}[/tex]

  = [tex]\frac{180-193}{12.48}[/tex] or, [tex]\frac{300-193}{12.48}[/tex]

  = 8.57

hence,

The probability be:

→ P (180 < X < 300) = P(Z < 8.57) - P(Z < -1.04)

                                = 1 - 0.1488

                                = 0.85122  

Thus the answers above are correct.

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