Lani had 2,380 Pesos in a savings bank. She withdrew 500 Pesos. Then deposited 680. Write an adittion sentence to represent the situation. Find the sum of the money

Answer:

Step-by-step explanation:

Given functions are,

f(x) = [tex]\sqrt{x} +3[/tex]

g(x) = 4 - [tex]\sqrt{x}[/tex]

22). (f - g)(x) = f(x) - g(x)

                    = [tex]\sqrt{x}+3-(4 - \sqrt{x} )[/tex]

                    = [tex]\sqrt{x} +3-4+\sqrt{x}[/tex]

                    = [tex]2\sqrt{x}-1[/tex]

     Domain of the function will be [0, ∞).

23). (f . g)(x) = f(x) × g(x)

                   = [tex](\sqrt{x}+3)(4-\sqrt{x} )[/tex]

                   = [tex]4(\sqrt{x}+3)-\sqrt{x}(\sqrt{x}+3)[/tex]

                   = [tex]4\sqrt{x} +12-x-3\sqrt{x}[/tex]

                   = [tex]-x+\sqrt{x}+12[/tex]

      Domain of the function will be [0, ∞).

Answer:

A, C, and D

Step-by-step explanation:

Answer:

the answer is A, C And D

Step-by-step explanation:

ADC

the answer is in the picture

Answer:

C.) 8 pounds

Hope that can help

Answer:

option 4

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

(x + 1)² + (y - 12)² = 25 ← is in standard form

with centre = (- 1, 12 ) and radius = [tex]\sqrt{25}[/tex] = 5

Start by doing the binomial expansion of (x+y)^6 where x represents success. This is

(x^6y^0) + 6(x^5y^1) +15(x^4y^2) +20(x^3y^3) +15(x^2y^4) +6(x^1y^5) +(x^0y^6)

We are interested in the x^3y^3 term which represents exactly 3 sucesses. Since the probalbility of sucess and failure are both .5 we should be able to figure this out just using the coefficients of the terms which is

20/64 = .3125 which is 31.25%

The probability of exactly three successes in six trials of a binomial experiment in which the the probability of is 50% is 31.25%.

Probability can be defined as the ratio of the number of favourable outcomes to the total number of outcomes of an event.

Here,

Probability =(³₆×(50%)³×(1-50%)⁶⁻³

= 20×(1/2)³×(1/2)³

= 20× 1/64

= 20/64

= 5/16

= 0.3125

= 0.3125×100

= 31.25%

Therefore, the probability of exactly three successes in six trials of a binomial experiment in which the the probability of is 50% is 31.25%.

To learn more about the probability visit:

https://brainly.com/question/11234923.

#SPJ5

Answer:

[tex]\angle A=90-72[/tex]

[tex]\angle A=18[/tex]

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

[tex]sin~72=\frac{b}{11}[/tex]

[tex]11\times sin~72=6[/tex]

[tex]b=10.5[/tex]

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

[tex]11\times cos~72=a[/tex]

[tex]a=3.4[/tex]

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

ANSWER:

a=3.4

b=10.5

∠A=18

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

hope it helps...

have a great day!!

Answer:

-2 0 2 3 this is the domain of the ordered pairs shown in the graph above

Answer:

Q24=A

25=B

26=A

Step-by-step explanation:

Answer:

[tex]4-6i[/tex]

Step-by-step explanation:

Substitute the value of the variable into the expression and simplify.

Answer:

Step 1 & Step 4 are true statements

Step-by-step explanation:

Explanation in progress! Enjoy your answer first then come back for the explanation once you've done it (●'◡'●)

Answer:

The vertex form of the quadratic function, f(x) = a·(x - h)² + k

Step-by-step explanation:

The general form of a quadratic function is given as follows;

f(x) = a·x² + b·x + c

The vertex form of the quadratic function is f(x) = a·(x - h)² + k

Where;

(h, k) = The coordinates of the vertex of the parabola

h = -b/2·a, k = f(h)

Answer:

because internal staggal angles are equal

Step-by-step explanation:

The first reason is wrong.

Angle EGH and DEG are internal staggal angles:

the two angles are on both sides of the cut line EG, and the two angles are between the two divided lines.

{the definition of internal staggal angle}

Answer:

25

Step-by-step explanation:

You need to simplify

.

.

.

.

................... :)

Answer:

D

Step-by-step explanation:

9+24-16+8= 25

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

Explanation:

x = original amount of caster oil (in quarts)

Since 15% remains, this means you used 85% of the original amount x.

Note how 15% + 85% = 100%

So,

85% of x = 34 quarts

0.85x = 34

x = 34/0.85

x = 40

You started with 40 quarts of oil.

15% of that remains, meaning 0.15*40 = 6 quarts of oil are left over.

-----------

We could also solve like this

(amount used)/(amount total) = (percent)/(100)

34/x = 85/100

34*100 = x*85

3400 = 85x

85x = 3400

x = 3400/85

x = 40

So we end up with the same x value as before, and we follow the same set of steps at the end of the first section to end up with the answer of 6 quarts.

Answer:

2y² - 4y - 24

General Formulas and Concepts:

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define

Identify

3(2y - 8) - 2y(5 - y)

Step 2: Simplify

Answer:

The first choice, Equation A and equation C.

Step-by-step explanation:

The lines A and C are intersecting in the point (0,8). That is the solution for those lines.

Answer:

OMG I LOVE LOUIS SO MUCH HE IS SO PERFECT

Step-by-step explanation:

The question is incomplete. The complete question is :

Small Manufacturing Company has a standard overhead rate of $42 per hour. The labor rate is $15 per hour. Overhead is applied based on direct labor hours. Jobs B-1 and B-2 were completed during the month of March. Small incurred 140 hours of indirect labor during the month. Job B-1 used 82 direct labor hours and $3650 worth of direct material used. Job B-2 used 130 direct labor hours and $2,900 worth of direct material. What is the total cost of job B-2? Round to closest whole dollar (no cents).

Solution :

Particulars                                                        Job B-2

Direct material used                                        $ 2,900

Add : Direct labor cost (130 hours x $15)       $ 1,950

Add : overhead cost (130 hours x $ 42)         $ 5,460  

Total Cost of Job B-2                                      $ 10,310

Therefore, the total cost of the Job B-2 is $ 10,310.

Answer:

<-56, -16>

Step-by-step explanation:

multiply the values by 8 because that's what the question tells you to do

Answer:

Step-by-step explanation:

Q(18) is a direction. It means that wherever you see a variable like x on the right, you put an 18 in for it. For example Suppose the right looked like

Q(x) = x^2 + 10 Then Q(18) would mean

Q(18) = 18^2 + 10

Q(18) = 324 + 10

Now we come to the second equation (b)

What that means is that after you do all the calculations, your answer is

27.5

So for the first question(a) Q(18) = 334

A is the direction of what to do. It is the question.

B is the answer

Answer: 31.25%

Two ways to solve this problem:

#1: Use the formula: [tex]P(X=x)={n}Cx_{} *p^{x}*(1-p)^{n-x}[/tex]

#2 Use a graphing calculator and use the function binompdf(n, p, x)

#1: Formula:

[tex]P(X=3)=_{6}C_{3}*0.5^{3} *(1-0.5)^{6-3}=\frac{6!}{3!(6-3)!} *0.5^{3} *0.5^{3}\\=\frac{6!}{3!*3!} *0.5^{3} *0.5^{3}=20*0.125*0.125=0.3125[/tex]

#2: Faster method

binompdf(6, 0.5, 3) = 0.3125

Answer: 31.3 is the real answer.

Step-by-step explanation:

Answer:

7.1

Step-by-step explanation:

We used SOHCAHTOA because it's a right angle triangle

So because we have an angle with an adjacent of 6.3 and hypotenuse of x

We will use

Cos=adjacent /hypotenuse

Answer: Personally I would do option "B" 2 1/3 because it sounds right.

Answer:

x = -1, y = -1

Step-by-step explanation:

x = 4y + 3

2x + y = -3

We have the value of x in terms of y, so we substitute that in 2x + y = -3:

2(4y+3)+y = -3

8y+6+y = -3

9y = -9

y = -1

Now we substitute the value of y in x = 4y + 3:

x = 4(-1)+3

x = -1

Answer:

y = -1 & x = -1

Step-by-step explanation:

x = 4y + 3 .... ( 1)

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

substitute the 4y + 3 as x in the second equation

2( 4y + 3) + y = -3

simplify and solve for y

8y + 24 + y = -3

9 y + 24 = -3

9y = -3 -24

9y = -27

y = -27 / 9

y = -1

Now, substitute the value of y -1 in first equation

x = 4y + 3

solve for x

x = 4 ( - 1 ) + 3

x = -4 + 3

x = -1

Answer:

[tex]10^2a^2b[/tex]

Step-by-step explanation:

Exponents are a way of shortening multiplication statements. The exponent represents how many times a term is being multiplied by itself. So, when two terms have the same base it can be written with exponents. For example. 10*10 can be written as [tex]10^2[/tex] because 10 is being multiplied 2 times. Therefore, if we do this with every term you get [tex]10^2a^2b[/tex].

Answer:

6

Step-by-step explanation:

To figure out what needs to be multiplied, we need to find the least common denominator. By finding this, we know that what we multiply the equation with will be a multiple of each denominator, meaning that there will be no fractions left.

We can find the least common denominator by listing multiples of each fraction, and finding which one is the smallest but still in each list.

3: 3, 6, 9, 12...

2: 2, 4, 6, 8...

6: 6, 12, 18, 24...

We can notice that 6 is the lowest number in each list. Therefore, 6 is our least common denominator, and if we multiply by 6, the fractions will be removed.

Answer:

6

Step-by-step explanation:

I took the quiz and got it correct.

Answer:

[tex]{ \bf {factor : { \tt{x - 1}}}} \\ x - 1 = 0 \\ x = 1 \\ { \tt{f(x) = {x}^{3} - {3x}^{2} + kx - 1}} \\ { \tt{f(1) : {(1)}^{3} - 3 {(1)}^{2} + k(1) - 1 = 0}} \\ { \tt{k - 3 = 0}} \\ { \tt{k = 3}}[/tex]

Answer:

k = 3

Step-by-step explanation:

If x-1 is a factor of x³ - 3x² + kx - 1 then value of x is 1.

f (x ) = x³ - 3x² + Kx - 1 , then

plug 1 as x in the expression.

expand exponents

combine like terms

Add 3 to both side

Given:

For two events X and Y,

[tex]P(X)=\dfrac{2}{3}[/tex]

[tex]P(Y)=\dfrac{2}{5}[/tex]

[tex]P(X|Y)=\dfrac{1}{5}[/tex]

To find:

The probabilities [tex]P(Y\cap X), P(Y)\cdot P(X)[/tex].

Solution:

Using the conditional probability:

[tex]P(X|Y)=\dfrac{P(Y\cap X)}{P(Y)}[/tex]

[tex]P(X|Y)\times P(Y)=P(Y\cap X)[/tex]

Substituting the given values, we get

[tex]\dfrac{1}{5}\times \dfrac{2}{5}=P(Y\cap X)[/tex]

[tex]\dfrac{2}{25}=P(Y\cap X)[/tex]

And,

[tex]P(Y)\times P(X)=\dfrac{2}{5}\times \dfrac{2}{3}[/tex]

[tex]P(Y)\times P(X)=\dfrac{4}{15}[/tex]

Therefore, the required probabilities are [tex]P(Y\cap X)=\dfrac{2}{25}[/tex] and [tex]P(Y)\times P(X)=\dfrac{4}{15}[/tex].

Answer:

- 2 and - 2

Step-by-step explanation:

let the 2 numbers be x and y , then

x + y = - 4 → (1)

x - y = 0 → (2)

Add the 2 equations term by term to eliminate y

2x + 0 = - 4

2x = - 4 ( divide both sides by 2 )

x = - 2

Substitute x = - 2 into either of the 2 equations and solve for y

Substituting into (1)

- 2 + y = - 4 ( add 2 to both sides )

y = - 2

The 2 numbers are - 2 and - 2