A community garden with raised beds is being redesigned. The area of the new rectangular beds can be expressed as one-half x (3 x + 4).

Simplify the expression representing the area of the new raised beds.

three-halves x squared + 4 x
three-halves x squared + 2 x
three-halves x + 4
three-halves x + 2

Answer:

A. x < -8 (first option)

Step-by-step explanation:

\(3 - (2x - 5) < - 4(x + 2)\)

\(3 - 2x + 5 < - 4x - 8\)

\(8 - 2x < - 4x - 8\)

\( - 2x + 4x < - 8 - 8\)

\(2x < - 16\)

\(\boxed{\green{x < - 8}}\)

The domain of sec(3.14t/4) is all real numbers except 2+4n, where n is any integer and range of sec(3.14t/4) is \((\infty,-1] \cup [1,\infty)\).

The Domain of a function f(x) is the set of all values for which the function is defined.

The Range of a function is the set of all values that f takes.

As, \(sec x=\frac{1}{cos x}\) , so sec x is defined where \(cos x \neq 0\).

It implies, sec(3.14t/4) is defined where \(cos(3.14t/4)\neq 0\).

The cosine is 0 at \((2n+1)\frac{\pi }{2}\) , where n is any integer.

Now, \(\frac{3.14t}{4} =\frac{(2n+1)\pi }{2}\)

         \(\frac{\pi t}{4} =\frac{(2n+1)\pi }{2}\)

       \(t=2(2n+1)\\t=2+4n\)

Since, the range of cos x is [-1,1], so sec x will never be less than 1, but can grow infinitely large as cos x approaches 0.

Thus, The domain of sec(3.14t/4) is all real numbers except 2+4n, where n is any integer and range of sec(3.14t/4) is \((\infty,-1] \cup [1,\infty)\).

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Answer:

50 kg

Step-by-step explanation:

got deleted last time so here we go again

divide net force by the accaleration to get 50

Answer:

x = 11

y = 8

z = 42

Step-by-step explanation:

From the given figure

∵ l\(_{1}\) and l\(_{2}\) intersected at a point

∴ ∠1 and ∠4 are vertically opposite angles

→ Vertically opposite angles are equal in measures

∴ m∠1 = m∠4

∵ m∠1 = 4(3y - 12)°

∵ m∠4 = (8y - 16)°

→ Equate their measures

∵ 4(3y - 12) = 8y - 16

∴ 4(3y) - 4(12) = 8y - 16

∴ 12y - 48 = 8y - 16

→ Subtract 8y from both sides

∵ 12y - 8y - 48 = 8y - 8y - 16

∴ 4y - 48 = -16

→ Add 48 to both sides

∴ 4y - 48 + 48 = -16 + 48

∴ 4y = 32

→ Divide both sides by 4

∴ y = 8

∵ ∠4 and ∠5 formed a pair of linear angles

→ The sum of the measures of the linear angles is 180°

∴ m∠4 + m∠5 = 180°

∵ m∠5 = (12x)°

∵ m∠4 = 8(8) - 16 = 64 - 16 = 48°

→ Add them and equate the sum by 180

∵ 48 + 12x = 180

→ Subtract 48 from both sides

∴ 48 - 48 + 12x = 180 - 48

∴ 12x = 132

→ Divide both sides by 12

∴ x = 11

∵ ∠4, ∠3, and ∠2 formed a line

∴ ∠4, ∠3, and ∠2 are linear angles

→ The sum of the measure of the linear angles is 180°

∴ m∠4 + m∠3 + m∠2 = 180°

∵ m∠4 = 48°

∵ m∠3 = 3(11) + 9 = 33 + 9 = 42°

∵ m∠2 = (2z + 6)

→ Add them and equate the sum by 180

∵ 48 + 42 + 2z + 6 = 180

→ Add the like terms in the left side

∴ 96 + 2z = 180

→ Subtract 96 from both sides

∵ 96 - 96 + 2z = 180 - 96

∴ 2z = 84

→ Divide both sides by 2

∴ z = 42

The solution of the equations 6x = 52 − 2y and 5x + 7y = 70 by elimination method will be (7, 5).

In other words, the collection of all feasible values for the parameters that satisfy the specified mathematical equation is the convenient storage of the bunch of equations.

The equations are given below.

6x = 52 - 2y

6x + 2y = 52

3x + y = 26                   ...1

5x + 7y = 70

(5/7)x + y = 10              ...2

Subtraction equation 2 from equation 1, then we have

3x - (5/7)x = 26 - 10

(16/7)x = 16

x = 7

Then the value of 'y' is given as,

3(7) + y = 26

21 + y = 26

y = 5

The solution of the equations 6x = 52 − 2y and 5x + 7y = 70 by elimination method will be (7, 5).

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Using the relationships between the angles of a parallelogram, the value of x is 12.55°.

A parallelogram has opposite angles that are equal, and adjacent angles that add up to 180°.

We can start with angles a and c. Since they are both equal to 90°, that means that angle b must also be 90°.

We can now use this information to find the value of x.

We can use the fact that angles a, b, and c add up to 270° to find x.

Since angles a and c are both 90°, that means that angle b must be 90°.

We can then solve for x by subtracting 190° (90° + 100°) from 270° and dividing by 7.

In order to solve for the value of x, we must use the properties of a parallelogram.

Since a parallelogram has four sides and four angles, the sum of the interior angles must equal 360°.

Therefore, we can set up an equation using the given angles and the unknown angle of x to solve for the value.

95° + (7x - 4)° + 90° + (3x + 23)° + (9x - 6)° = 360°

20x + 109° = 360°

20x = 251°

x=12.55°

Therefore,  the value of x is 12.55°.

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Answer:

70.68 inch is the volume of the rectangular prism

Step-by-step explanation:

V = w × h × l

V = 3.8 inch × 3 inch × 6.2 inch

V = 70.68 inch is the volume of the rectangular prism

To check:

70.68 ÷ 3.8 ÷ 6.2 = 3 inch (height)

70.68 ÷ 6.2 ÷ 3 = 3.8 inch (width)

70.68 ÷ 3.8 ÷ 3 = 6.2 inch (length)

Answer:

1:10 p.m.

Step-by-step explanation:

First, add 20 minutes to 8:50 a.m. That would be 9:10 a.m. Then, add the remaining 4 hours to the 9:10 a.m. to get your answer- 1:10 p.m.

Answer:

Yes.

Step-by-step explanation:

i Cannot see the number but.  MOST likely  yes

Step-by-step explanation:

Answer:1760

Step-by-step explanation:

The probability that the first ball chosen is black and the second ball chosen is red is 24.24%

First, we shall obtain the total balls present in the box. Details below:

Total ball = 4 + 8

Total ball = 12 balls

Next, we shall obtain the probability of chosen a black ball first. Details below:

P(B) = n(B) / n(T)

P(B) = 8 / 12

Next, we shall obtain the probability of chosen red as the 2nd ball. Details below:

P(R | B)= n(R) / n(T)

P(R | B) = 4 / 11

Finally, we shall obtain the probability that the first ball chosen is black and the second ball chosen is red. Details below:

P(B ∩ R) = [P(B) × P(R | B)] × 100

P(B ∩ R) = [(8 / 12) × (3 / 11)] × 100

P(B ∩ R) = 0.2424 × 100

P(B ∩ R) = 24.24%

Thus, the probability that the first ball chosen is black and the second ball chosen is red is 24.24%

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Answer:

5+2. =10. 4. You pick a card, flip a coin, and spin the spinner. How many outcomes are possible? Zx2x3 =12. Op. 2*2*3=12

Step-by-step explanation:

5+2. =10. 4. You pick a card, flip a coin, and spin the spinner. How many outcomes are possible? Zx2x3 =12. Op. 2*2*3=12

∠G+∠H+∠J=180 and ∠K+∠L+∠M=180 from the angle sum property of triangle, ∠H=∠L (3rd Angle Theorem) and ∆GHJ≅∆KLM from ASA congruency theorem.

In the given question we have to prove ∆GHJ congrurnce ∆KLM.

Given that: ∠G≅∠K, ∠J≅∠M, \(\over{HJ}\) ≅ \(\over{LM}\).

As given that;

∠G≅∠K

∠J≅∠M

\(\over{HJ}\) ≅ \(\over{LM}\)

So from the angle sum property of triangle

∠G+∠H+∠J=180................(1)

∠K+∠L+∠M=180.................(2)

Now equation equation 1 and 2

∠G+∠H+∠J=∠K+∠L+∠M

As we know that ∠G=∠K, ∠J=∠M

So now the expression is

∠G+∠H+∠J=∠G+∠L+∠J

After solving ∠H=∠L (3rd Angle Theorem)

Since, ∠H=∠L, HJ=LM and ∠G=∠K, so from the theorem Angle Side Angle(ASA) congruency,

∆GHJ≅∆KLM

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Answer: 3

Step-by-step explanation: This is the average between your 2 numbers, 4 and 2.

Answer: its 2

Step-by-step explanation: i guessed and i got it right after this other dud said 3....ITS 2

The total savings that the couple Puan Yani and her husband have now is A) RM126,000.

The total savings of the couple can be determined by addition.

Addition is one of the four basic mathematical operations, including subtraction, divsion, and multiplication.

Let the amount that Puan Yani has in her savings account, a = RM24,700

Let the amount that her husband has than Puan Yani = RM75,300

The total amount that her husband has = a + 75,300

= RM100,000 (R24,700 + RM75,300)

The additional amount that Puan Yani deposited at the end of May = RM1,300

The total amount that Puan Yani has in her savings account at the end of May = RM26,000 (RM24,700 + RM1,300)

The total savings in the couple's accounts = RM126,000 (RM100,000 + RM26,000)

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The sum of the measures of the interior angles of a nonagon is 1260 degrees

The measure of each interior angle of a regular octagon is 135 degrees

A nonagon is a polygon with nine sides, and the formula to calculate the sum of the measures of the interior angles of a polygon with n sides is:

Sum of interior angles = (n-2) x 180 degrees

Therefore, the sum of the measures of the interior angles of a nonagon is:

Sum of interior angles = (9-2) x 180 degrees = 1260 degrees

An octagon is a polygon with eight sides, and the formula to calculate the measure of each interior angle of a regular polygon with n sides is:

Measure of each interior angle = (n-2) x 180 degrees / n

Therefore, the measure of each interior angle of a regular octagon is:

Measure of each interior angle = (8-2) x 180 degrees / 8 = 135 degrees

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Answer:

Step-by-step explanation:

Therefore, the height of the tower is approximately 121.4 meters.

The probability that the song will be played on exactly 2 days out of 5 days is approximately 0.164.

To find the probability that a particular song is played exactly 2 days out of 5 days at radio station WMZH, we can use the binomial probability formula.

The binomial probability formula is given by P(x) = C(n, x) * p^x * (1-p)^(n-x), where P(x) is the probability of x successful outcomes, n is the number of trials, p is the probability of a successful outcome on a single trial, and C(n, x) represents the binomial coefficient, which is the number of ways to choose x items from a set of n items.

In this case, we want to find the probability of the song being played exactly 2 days out of 5 days, so x = 2, n = 5, and p = 3/8.

Using the formula, we have:

P(2) = \(C(5, 2) * (3/8)^2 * (1 - 3/8)^(^5^-^2^)\)

C(5, 2) = 5! / (2! * (5-2)!) = 10

P(2) = 10 * (3/8)^2 * (5/8)^3

P(2) ≈ 0.164 (rounded to three decimal places)

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Answer:

23,400

Step-by-step explanation:

30 times 30 times 26= 23,400

The length of side b of the given right angle triangle using law of sines is; b = 12.044 m

The law of sines states that when we divide side "a" by the sine of angle A, it is equal to side "b" divided by the sine of angle B, and also equal to side "c" divided by the sine of angle C

Thus;

a/sin A = b/sin B = c/sinC

The parameters are;

B = 42°

c = 18m

Since c is the hypotenuse, it is the side that will be opposite the right angle and so;

C = 90°

Thus, using sine rule;

c/sinC = b/sin B

18/sin 90 = b/sin 42

b = (18 * sin 42)/1

b = 12.044 m

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Answer:

$39

Step-by-step explanation:

\(12(.75 + 2.50) = 12(3.25) = 12(3) + 12(.25) = 36 + 3 = 39\)

Linear equations are typically organized in slope-intercept form:

\(y=mx+b\)

To find linear equations in slope-intercept form:

We're given:

First, determine the slope of the line.

\(m=\dfrac{y_2-y_1}{x_2-x_1}\) where \((x_1,y_1)\) and \((x_2,y_2)\) are points that fall on the line

⇒ Plug in the given points (2,6) and (4,16):

\(m=\dfrac{16-6}{4-2}\\\\m=\dfrac{10}{2}\\\\m=5\)

⇒ Therefore, the slope of the line is 5. Plug this back into the general form:

\(y=5x+b\)

Now, determine the y-intercept.

\(y=5x+b\)

⇒ Plug in one of the given points:

\(6=5(2)+b\\6=10+b\\b=-4\)

⇒ Therefore, the y-intercept is -4. Plug this back into our original equation:

\(y=5x-4\)

\(y=5x-4\)

Answer:

histogram

Step-by-step explanation:

The number of points gained overall by Julia playing the game is 30 point

From the question, we have the following parameters that can be used in our computation:

Tax paid for a new quest = 2.5 points

Total points gained playing the game = 75 points

The above parameters can be represented as

The number of points gained overall = Total points gained playing the game/Tax paid for a new quest

Substitute the known values in the above equation, so, we have the following representation

The number of points gained overall = 75/2.5

Express as a correct fraction

So, we have the following representation

The number of points gained overall = 750/25

Evaluate the quotients

So, we have the following representation

The number of points gained overall = 30

Hence, the number of points gained overall =is30

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Answer:

that is way to experienced for your level but if you come to me i will answer for you

Step-by-step explanation:

Answer:

ICarly ??

Step-by-step explanation:

I love this show lol

Answer: I carlyyyy

Step-by-step explanation:

I

Answer:

Step-by-step explanation:

You should divide 10 by 6 hope it HELPED

Answer:

El raigañu cuadráu corresponder cola radicación d'índiz 2 o, equivalentemente, cola potenciación d'esponente 1/2.

Cualquier númberu real non negativu {\displaystyle x}x tien un únicu raigañu cuadráu positiva o raigañu cuadráu principal[2] y denotada como {\displaystyle {\sqrt {x}}}{\displaystyle {\sqrt {x}}} onde {\displaystyle {\sqrt {\;}}}{\displaystyle {\sqrt {\;}}} ye'l símbolu raigañu y {\displaystyle x}x ye'l aniciando.

Cuando se riquir denotar dos raigaños cuadraos una negativa, {\displaystyle -{\sqrt {x}}}{\displaystyle -{\sqrt {x}}}, y otra positiva, {\displaystyle {\sqrt {x}}}{\displaystyle {\sqrt {x}}}, suelen denotarse curioso como {\displaystyle \pm {\sqrt {x}}}{\displaystyle \pm {\sqrt {x}}} o bien como {\displaystyle \mp {\sqrt {x}}}{\displaystyle \mp {\sqrt {x}}} según l'orde precisáu.

El conceutu de raigañu cuadráu puede estendese a cualquier aniellu alxebraicu, asina ye posible definir el raigañu cuadráu d'un númberu real negativu o'l raigañu cuadráu de delles matrices. Nos númberos cuaterniónicos los reales negativos almiten un númberu infinitu de raigaños cuadraos, sicasí'l restu de cuaterniones distintos de cero almiten solu dos raigaños cuadraos. Nel aniellu non conmutativu de les funciones reales de variable real cola adición y la composición de funciones si fºf = g, puede plantegase que f ye la "raigañu cuadráu" de g.[3]

Step-by-step explanationY segun todos mis calculos es 2 :

The cosine of twice the angle is given as follows:

cos(2θ) = -527/625.

The identity to obtain the cosine of twice the angle is given as follows:

cos(2θ) = cos²(θ) - sin²(θ).

The relation between the sine and the cosine is given as follows:

sin²(θ) + cos²(θ) = 1.

Hence the cosine squared is obtained as follows:

cos²(θ) = (7/25)²

cos²(θ) = 49/625.

The sine squared is given as follows:

sin²(θ) = 1 - cos²(θ)

sin²(θ) = 1 - (49/625)

sin²(θ) = (625/625) - (49/625)

sin²(θ) = 576/625.

Meaning that the cosine of twice the angle is given as follows:

cos(2θ) = cos²(θ) - sin²(θ).

cos(2θ) = 49/625 - 576/625

cos(2θ) = -527/625.

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