3.
- 4x + y = 6
- 5x - y = 21

Given:

The expression is:

[tex]25-10\div 2+3[/tex]

To find:

Part A: The expression using parentheses so that the expression equals 23.

Part B: The expression using parentheses so that the expression equals 3.

Solution:

Part A:

In option A,

[tex](25-10)\div 2+3=15\div 2+3[/tex]

[tex](25-10)\div 2+3=7.5+3[/tex]                       [Using BODMAS]

[tex](25-10)\div 2+3=10.5[/tex]

In option B,

[tex]25-10\div (2+3)=25-10\div 5[/tex]

[tex]25-10\div (2+3)=25-2[/tex]                      [Using BODMAS]

[tex]25-10\div (2+3)=23[/tex]

In option C,

[tex](25-10)\div (2+3)=15\div 5[/tex]

[tex](25-10)\div (2+3)=3[/tex]

In option D,

[tex]25-(10\div 2)+3=25-5+3[/tex]

[tex]25-(10\div 2)+3=28-5[/tex]                     [Using BODMAS]

[tex]25-(10\div 2)+3=23[/tex]

After the calculation, we have [tex]25-10\div (2+3)=23[/tex] and [tex]25-(10\div 2)+3=23[/tex].

Therefore, the correct options are B and D.

Part B: From part A, it is clear that

[tex](25-10)\div (2+3)=3[/tex]

Therefore, the correct option is C.

Answer:

yes that are similar

Step-by-step explanation:

because the angles are both 50 degrees

similarity statement:

triangle DEF= triangle JEH

hope that helps bby<3

Answer:

The interval that represents the middle 68% of her commute times is between 33.5 and 42.5 minutes.

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

Approximately 68% of the measures are within 1 standard deviation of the mean.

Approximately 95% of the measures are within 2 standard deviations of the mean.

Approximately 99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean of 38 minutes, standard deviation of 4.5 minutes.

Determine the interval that represents the middle 68% of her commute times.

Within 1 standard deviation of the mean. So

38 - 4.5 = 33.5 minutes

38 + 4.5 = 42.5 minutes.

The interval that represents the middle 68% of her commute times is between 33.5 and 42.5 minutes.

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

Work Shown:

0.95% = (0.95)/100 = 0.0095

0.95% of 100,000 = 0.0095*(100,000) = 950

We expect about 950 games will be defective.

Answer:

A: 950

Step-by-step explanation:

Answer:

F(-2)= g(-2)

Step-by-step explanation:

F(-2)= g(-2), both function have the same points of intersect.

Answer:

20

Step-by-step explanation:

2(3p+4)

Let p=2

2(3*2+4)

Multiply inside the parentheses

2(6+4)

Add inside the parentheses

2(10)

Multiply

20

Hola aquí va la respuesta!!!

[tex]20[/tex]

[tex] \saludos[/tex]

Answer:

d. 7.5 cm²

Step-by-step explanation:

Area of sector = central angel/360 × πr²

Central angle = 180° - 84° = 96° (supplementary angles)

BA = radius (r) = ½(6) = 3 cm

Plug in the values

Area of sector = 96/360 × π*3²

= 7.53982238

= 7.5 cm² (nearest tenth)

Answer:

Point estimate of the corresponding population mean = $8,213

Step-by-step explanation:

Given:

Average cost of a wedding reception (x) = $8,213

Total number of sample (n) = 450

Standard deviation = $2185

Find:

Point estimate of the corresponding population mean

Computation:

Average cost of a wedding reception (x) = Point estimate of the corresponding population mean

Point estimate of the corresponding population mean = $8,213

Step-by-step explanation:

14 For which equation is the solution set {-5,2}?. 15 Which equation has the same solutions as. 2x. 2 + x - 3 = 0.

Answer:

[tex]y_p(x) =c_1e^{-6x} + c_2e^{-3x}+ e^x + 4x^2[/tex]

Step-by-step explanation:

Given

[tex]y" + 9y' + 18y = 24x^2 + 40x + 8 + 12e^x[/tex] ---- (1)

[tex]y_p(x) = e^x + 4x^2[/tex]

Required

The general solution of [tex]y(x)[/tex]

Let

[tex]y = e^{nx}[/tex] be the trial solution of (1)

So:

[tex]y" + 9y' + 18y = 0[/tex] becomes

[tex]n^2 + 9n + 18 = 0[/tex]

Expand

[tex]n^2 + 6n+3n + 18 = 0[/tex]

Factorize

[tex]n(n + 6)+3(n + 6) = 0[/tex]

Factor out n + 6

[tex](n + 6)(n + 3) = 0[/tex]

Split

[tex]n +6 = 0\ or\ n + 3 = 0[/tex]

Solve for n

[tex]n =-6\ or\ n = -3[/tex]

So:

[tex]y = e^{nx}[/tex] becomes:

[tex]y = c_1e^{-6x} + c_2e^{-3x}[/tex]

[tex]y_p(x) = e^x + 4x^2[/tex] becomes

[tex]y_p(x) =c_1e^{-6x} + c_2e^{-3x}+ e^x + 4x^2[/tex]

Where: [tex]c_1[/tex] and [tex]c_2[/tex] are arbitary constants

Answer:

Area= 2(x^2 + 4)

Perímetro=6x + 8

Step-by-step explanation:

Ancho = x

Longitud = 2x + 4

Area= ancho × longitud

Area= x × 2x + 4

Area= 2x^2 + 4

Area= 2(x^2 + 4)

Perímetro= ancho+ancho+longitud+longitud

Perímetro=2ancho + 2longitud

Perímetro=2(x) + 2(2x+4)

Perímetro=2x + 4x + 8

Perímetro=6x + 8

Answer:

The answer:

y=(x+2)²+7

Choose (B)

Answer:

Since in an orchestra each player plays parallely, i.e. everyone plays the same line simultaneously, hence the length of the play never depends on the number of players playing it. Hence, time taken by 60 players = time taken by 120 players = 40 minutes. So 60 person will play the 9th harmony in same 40 minutes.

Step-by-step explanation:

Answer:

572.6

Step-by-step explanation:

400 = 220 [tex]x^{5}[/tex]

ln(400/220) = 5 ln(x)

ln(x) = .1195

x = [tex]e^{.1195}[/tex]

x = 1.127

Y = 220[tex](1.127)^{8}[/tex]

Y= 572.6

Answer:

1 : 2

Step-by-step explanation: trust

Answer:

3/1 Hope that helps

Step-by-step explanation:

The top part is the areas of the rooms in feet. You need to find the inches instead. Multiply them by 12.

20 x 12

20 x 12= 240

12 x 12=144

So the first one will be:

240 x 144

Second:

96 x 96

Third:

96 x 114

Fourth:

240 x 196

Fifth:

240 x 240

Sixth:

120 x 240

Answer:

A =420 cm^2

Step-by-step explanation:

The area of a triangle is given by

A = 1/2 bh where b is the length of the base and h is the height

A = 1/2 ( 24) * 35

A =420 cm^2

Answer:

The area of triangle is 420 cm ².

Step-by-step explanation:

Area of triangle = 1/2 × base × height

Using Formula

Area of triangle = 1/2 × base × height

substitute the values into the formula

Area of triangle = 1/2 × 24 cm × 35 cm

multiply,

Area of triangle = 1/2 × 840 cm ²

Divide, we get

Area of triangle = 420 cm ²

Therefore, The area of triangle is 420cm².

Answer:

14.73.

Step-by-step explanation:

Answer:

See image below for answer:)

Step-by-step explanation:

Hi there!  

»»————-　★　————-««

I believe your answer is:  

There is no solution to the equation.  

»»————-　★　————-««  

Here’s why:

⸻⸻⸻⸻

[tex]\boxed{\text{Calculating the Answer...}}\\\\-3(4x-6)=7-12x\\-------------\\\rightarrow -12x+18 = 7 - 12x\\\\\rightarrow -12x + 18 - 18 = 7 - 18 -12x\\\\\rightarrow -12x=-12x-11\\\\\rightarrow-12x+12x = -12x+12x - 11\\\\\rightarrow 0 = -11\\\\\boxed{\text{This is a \underline{contradiction}. There is no solution.}}[/tex]

⸻⸻⸻⸻

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

Answer:

1/4

Step-by-step explanation:

Skateboards  : wheels

12                    :     48

Divide each part by 12

12/12              :    48/12

1                       :4

[tex]\huge\mathbb{\fcolorbox{red}{lavenderblush}{✰Answer}}[/tex]

There are Twelve skateboards have 48 wheels.,

we need to find the ratio of skateboards to wheels, in simplest form;

Hence,

Ratio of skateboard to wheel

Step-by-step explanation:

Given: [∀x(L(x) → A(x))] →

[∀x(L(x) ∧ ∃y(L(y) ∧ H(x, y)) → ∃y(A(y) ∧ H(x, y)))]

To prove, we shall follow a proof by contradiction. We shall include the negation of the conclusion for

arguments. Since with just premise, deriving the conclusion is not possible, we have chosen this proof

technique.

Consider ∀x(L(x) → A(x)) ∧ ¬[∀x(L(x) ∧ ∃y(L(y) ∧ H(x, y)) → ∃y(A(y) ∧ H(x, y)))]

We need to show that the above expression is unsatisfiable (False).

¬[∀x(L(x) ∧ ∃y(L(y) ∧ H(x, y)) → ∃y(A(y) ∧ H(x, y)))]

∃x¬((L(x) ∧ ∃y(L(y) ∧ H(x, y))) → ∃y(A(y) ∧ H(x, y)))

∃x((L(x) ∧ ∃y(L(y) ∧ H(x, y))) ∧ ¬(∃y(A(y) ∧ H(x, y))))

E.I with respect to x,

(L(a) ∧ ∃y(L(y) ∧ H(a, y))) ∧ ¬(∃y(A(y) ∧ H(a, y))), for some a

(L(a) ∧ ∃y(L(y) ∧ H(a, y))) ∧ (∀y(¬A(y) ∧ ¬H(a, y)))

E.I with respect to y,

(L(a) ∧ (L(b) ∧ H(a, b))) ∧ (∀y(¬A(y) ∧ ¬H(a, y))), for some b

U.I with respect to y,

(L(a) ∧ (L(b) ∧ H(a, b)) ∧ (¬A(b) ∧ ¬H(a, b))), for any b

Since P ∧ Q is P, drop L(a) from the above expression.

(L(b) ∧ H(a, b)) ∧ (¬A(b) ∧ ¬H(a, b))), for any b

Apply distribution

(L(b) ∧ H(a, b) ∧ ¬A(b)) ∨ (L(b) ∧ H(a, b) ∧ ¬H(a, b))

Note: P ∧ ¬P is false. P ∧ f alse is P. Therefore, the above expression is simplified to

(L(b) ∧ H(a, b) ∧ ¬A(b))

U.I of ∀x(L(x) → A(x)) gives L(b) → A(b). The contrapositive of this is ¬A(b) → ¬L(b). Replace

¬A(b) in the above expression with ¬L(b). Thus, we get,

(L(b) ∧ H(a, b) ∧ ¬L(b)), this is again false.

This shows that our assumption that the conclusion is false is wrong. Therefore, the conclusion follows

from the premise.

15

Answer:

B)  y < -x + 1

Step-by-step explanation:

you can see from the x-and-y intercepts that the equation of this line is:

y = -x + 1

now you must determine whether the equal sign should be replaced with '<' or '>'

you can use the point (0,0) to see if that makes y > -x + 1 true or false:

0 > 0+1   This is False

so the answer should be:  y < -x + 1

Answer:

Side a = 10.44031

Side b = 10

Side c = 3

Angle ∠A = 90° = 1.5708 rad = π/2

Angle ∠B = 73.301° = 73°18'3" = 1.27934 rad

Angle ∠C = 16.699° = 16°41'57" = 0.29146 rad

Answer:

use photo math

Step-by-step explanation:

cuz i said so

Answer:

10 bars ; width 10

Step-by-step explanation:

Reordering the data given :

2, 3, 8, 9, 10, 14, 14, 15, 15, 17, 18, 20, 22, 24, 26, 29, 36, 39, 39, 39, 41, 43, 44, 50, 50, 52, 52, 52, 60, 60, 60, 62, 65, 69, 71, 72, 77, 78, 82, 86, 87, 87, 91, 93, 93, 97, 98, 98, 98, 98

To know the number of bars and width to use, we need to know the range of the data, from there we can decide the most appropriate width and also the number of bars we get using the width ;

Range = 98 - 2 = 96

By extending the width slightly on either side, we have 0, 100.

If we start from the origin, 0 ; and the maximum data point = 98 ; by slightly extending the width to 100 ; we could make use of a very reasonable width of 10; which is easier to work with than lesser width values ;

Now our range = 100 - 0 = 100

Width = 10

Number of bars = range / bar width

= 100 / 10

= 10 bars

9514 1404 393

Answer:

  7.056 × 10^31

Step-by-step explanation:

The applicable rule of exponents is ...

  (10^a)(10^b) = 10^(a+b)

__

  [tex](1.2\times10^{19})\times(5.88\times10^{12})=(1.2\cdot5.88)\times10^{19+12}\\\\=\boxed{7.056\times10^{31}}[/tex]

As you know, the commutative and associative properties of multiplication let you rearrange the order of the product to any convenient form. Here it is convenient to group the mantissas together and the powers of 10 together.

__

Additional comments

This is a product your scientific or graphing calculator can produce for you. Likely it will display the result in scientific notation because it won't have enough display digits to show you the product any other way. For smaller numbers, you can set the display mode to give you scientific notation.

If you choose to use a spreadsheet to perform this calculation, the numbers would be entered as 1.2e19 and 5.88e12. The result will be something like 7.056e31. You may have to format the display to show 3 decimal places.

Answer:

The smallest possible length is 0.83m

Step-by-step explanation:

Given

[tex]Volume = 565L[/tex]

Required

The smallest length of the tank

Since the tank is cubical, then the volume is:

[tex]Volume = Length^3[/tex]

This gives:

[tex]565L= Length^3[/tex]

Express as [tex]m^3[/tex]

[tex]\frac{565m^3}{1000} = Length^3[/tex]

[tex]0.565m^3 = Length^3[/tex]

Take cube roots of both sides

[tex]0.8267m = Length[/tex]

Rewrite as:

[tex]Length = 0.8267m[/tex]

Approximate

[tex]Length = 0.83m[/tex]

Step-by-step explanation:

de hecho, la respuesta está en la imagen de arriba

Answer: 39

Step-by-step explanation: the distance is always positive, 39 + 0 = 39

Answer:

39

Step-by-step explanation:

39 is 39 numbers away from zero. it really doesn't get simpler.