what number lies halfway between 16 and 38​

Answer:

C, or 18.0

Step-by-step explanation:

The SAS theorem provides that the area is 17.97, which rounds up to 18.0, giving you C as the answer. The other two are far too high for the given values.

the value of 5! / (2! * 2!) is 30.this is final answer.

To evaluate the expression 5! / (2! * 2!), we first calculate the factorials involved.

The factorial of a number is the product of that number and all positive integers below it. Let's calculate the factorials:

5! = 5 * 4 * 3 * 2 * 1 = 120

2! = 2 * 1 = 2

Now, let's substitute these values back into the expression:

5! / (2! * 2!) = 120 / (2 * 2)

Simplifying further:

120 / (2 * 2) = 120 / 4 = 30

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Answer:

45/7

Step-by-step explanation:

ok lets first find the total sum. there are 5 numbers so 13*5=65

2x+0+5x+11+9=65

7x=45

x=45/7 or 6.42857143

Answer:

3612 m^3

Step-by-step explanation:

Answer:

240 is the amount

Answer:

240

Step-by-step explanation

1. 75 ÷ 15 =5

2. 12 x 4 = 48

3. 48 × 5 = 240

The given expression is:

It is required to simplify the product using the distributive property.

Apply the distributive property to the product:

Apply the distributive property again to simplify the expression on the right:

The answer is x²+2x-8.

Answer:

Let 2n = the first of three consecutive even numbers, where n is an integer.

Let 2n + 2 = the second of three consecutive even numbers, and

Let 2n + 4 = the third of three consecutive even numbers.

We're given that "sum of three consecutive even numbers is 552." We can translate this English sentence mathematically into the following equation to be solved for n:

2n + (2n + 2) + (2n + 4) = 552

Removing the parentheses, we have:

2n + 2n + 2 + 2n + 4 = 552

Now, by the Commutative Law of Addition, i.e., a + b = b + a, we have on the left side of the equation:

2n + 2n + 2n + 2 + 4 = 552

Now, collecting like-terms on the left, we get:

6n + 6 = 552

To solve for the variable n, We now begin isolating n on the left side by subtracting 6 from both sides as follows:

6n + 6 - 6 = 552 - 6

6n + 0 = 546

6n = 546

Now, divide both sides by 6 to finally solve for n:

(6n)/6 = 546/6

(6/6)n = 546/6

(1)n = 91

n = 91

Therefore, the first of three consecutive even numbers, 2n, is:

2n = 2(91)

= 182

The second of three consecutive even numbers is:

2n + 2 = 2(91) + 2

= 182 + 2

= 184

The third of three consecutive even numbers is:

2n + 4 = 2(91) + 4

= 182 + 4

= 186

CHECK:

2n + (2n + 2) + (2n + 4) = 552

182 + 184 + 186 = 552

552 = 552

Therefore, the desired and first of three consecutive even numbers is indeed 2n = 182.

The total cost of the laptop with sales tax included is approximately $638.10.

To find the total cost of the laptop with sales tax included, you need to calculate the sales tax amount and then add it to the listed price.

First, calculate the sales tax amount by multiplying the listed price by the sales tax rate:

Sales tax amount = 594.98 * 0.0725

Sales tax amount = 43.11965 (rounded to two decimal places)

Next, add the sales tax amount to the listed price:

Total cost = Listed price + Sales tax amount

Total cost = 594.98 + 43.11965

Total cost = 638.09965 (rounded to two decimal places)

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The area in square meters will the oil slick cover is 9.5×10⁶ m².

15 barrels of diesel spilt into the ocean, where each barrel contains 42 gallons. Thereby the total volume of the oil spilt by 15 barrels is calculated as follows:

The total volume of the oil spilt by 15 barrels = 15× 42 gallons.

=630 gallons

1 gallon = 3.78541 liters

Volume in L = 630 gallons × 3.78541 liters/ 1 gallon

= 2384.8083 L

1 L = 10⁻³ m³

2384.8083  L = 2384.8083 × 10⁻³ m³

= 2.3848083 m³

The area covered by the oil spill has to be determined, where the thickness of the oil spill is given to be 2.5×10² nm.

1 nm = 10⁻⁹ m

Thereby, 2.5×10² nm = 2.5×10²×10⁻⁹ m

= 2.5×10⁻⁷ m

Area (m²) = volume (m³)/thickness (m)

= 2.3848083 m³/ 2.5×10⁻⁷ m

= 0.95392×10⁷ m²

= 9.5×10⁶ m²

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Answer:

-$700

Step-by-step explanation:

Since there was no question, this is what I came to.

Answer:

Step-by-step explanation:

the n number of value of x

\( \displaystyle x_{1},x _{2} \dots x_{n}\)

let it be

\( \displaystyle x_{1} = x _{2} = x_{3}{\dots }= x_{n} = a\)

now, the A.M of x is

\( \rm \displaystyle \: A.M = \frac{ x_{1} + x_{2} + \dots \dots \: + x_{n} }{n} \)

since every value equal to a

substitute:

\( \rm \displaystyle \: A.M = \frac{ a + a + \dots \dots \: + a}{n} \)

\( \rm \displaystyle \: A.M = \frac{ na}{n} \)

reduce fraction:

\( \rm \displaystyle \: A.M = a\)

the G.M of x is

\( \rm\displaystyle \: G.M =( x_{1} \times x _{2} {\dots }\times x_{n} {)}^{ {1}^{}/ {n}^{} } \)

since every value equal to a

substitute:

\( \rm\displaystyle \: G.M =( a \times a{\dots }\times a{)}^{ {1}^{}/ {n}^{} } \)

recall law of exponent:

\( \rm\displaystyle \: G.M =( {a}^{n} {)}^{ {1}^{}/ {n}^{} } \)

recall law of exponent:

\( \rm\displaystyle \: G.M = a\)

the H.M of x is

\( \displaystyle \: H.M = \frac{n}{ \frac{1}{ x_{1}} + \frac{1}{ x_{2} } {\dots } \: { \dots}\frac{1}{x _{n} } } \)

since every value equal to a

substitute:

\( \displaystyle \: H.M = \frac{n}{ \frac{1}{ a} + \frac{1}{ a } {\dots } \: { \dots}\frac{1}{a } } \)

\( \displaystyle \: H.M = \frac{n}{ \dfrac{n}{a} } \)

simplify complex fraction:

\( \displaystyle \: H.M = n \times \frac{a}{n} \)

\( \displaystyle \: H.M = a \: \)

so

\( \displaystyle \: A.M = G.M = H.M = a\)

hence,

\(\text{Proven}\)

Answer:

The value of the cosine ratio cos(L) is 5/13

The complete question is added as an attachment

Start by calculating the hypotenuse (h) using

h^2 = 5^2 + 12^2

Evaluate the exponent

h^2 = 25 + 144

Evaluate the sum

h^2 = 169

Evaluate the exponent of both sides

h = 13

The cosine ratio is then calculated as:

cos(L) = KL/h

This gives

cos(L) =5/13

Hence, the value of the cosine ratio cos(L) is 5/13

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The approximation of the arc length using the Midpoint Rule with N=8 is: M8 = 2.9183

To approximate the arc length of the curve y=9sin(x) over the interval [0, π/2] using the Midpoint Rule with N=8, we first need to calculate the length of each subinterval:

Δx = (π/2 - 0)/8 = π/16

Next, we need to calculate the midpoint of each subinterval and evaluate the function at that point:

\(x_1 = Δx/2 = π/32, y_1 = 9sin(π/32)\\x_2 = 3Δx/2 = 3π/32, y_2 = 9sin(3π/32)\\x_3 = 5Δx/2 = 5π/32, y_3 = 9sin(5π/32)\\...x_8 = 15Δx/2 = 15π/32, y_8 = 9sin(15π/32)\)

Next, we need to calculate the length of each line segment using the formula:

\(L_i = sqrt((x_i - x_i-1)^2 + (y_i - y_i-1)^2)\)

For i=1, we have:

\(L_1 = sqrt((π/32 - 0)^2 + (9sin(π/32) - 0)^2)\)

For i=2, we have:

\(L_2 = sqrt((3π/32 - π/32)^2 + (9sin(3π/32) - 9sin(π/32))^2)\)

And so on, up to \(L_8\).

Finally, we add up all the lengths to get an approximation of the total arc length:

\(M8 = L_1 + L_2 + ... + L_8\)

Evaluating each \(L_i\)using a calculator or computer program, we get:

\(L_1 = 0.2825\\L_2 = 0.2935\\L_3 = 0.3079\\L_4 = 0.3250\\L_5 = 0.3443\\L_6 = 0.3655\\L_7 = 0.3881\\L_8 = 0.4118\)

Therefore, the approximation of the arc length using the Midpoint Rule with N=8 is:

M8 = 0.2825 + 0.2935 + 0.3079 + 0.3250 + 0.3443 + 0.3655 + 0.3881 + 0.4118

M8 ≈ 2.9183 (rounded to four decimal places).

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Answer:

1. No solution.

2. (-1,3)

3. (2,0)

4. (1,0)

Step-by-step explanation:

Hope it helps.

Answer:

28 horses

Step-by-step explanation:

336/12=28

because every 12 miles they change the horse.

Equivalent expressions are expressions that have the same value

The equivalent expression of \((4 +7i)(3 +4i)\) is \(-16+37i\)

The expression is given as:

\((4 +7i)(3 +4i)\)

Expand the equation

\((4 +7i)(3 +4i) = 4(3 +4i) +7i(3 +4i)\)

Distribute the equation, as follows:

\((4 +7i)(3 +4i) = 12 +16i +21i +28i^2\)

In complex numbers,

\(i^2 = -1\)

So, we have:

\((4 +7i)(3 +4i) = 12 +16i +21i +28(-1)\)

Evaluate the product

\((4 +7i)(3 +4i) = 12 +16i +21i -28\)

Combine like terms

\((4 +7i)(3 +4i) = 12-28+16i +21i\)

Evaluate like terms

\((4 +7i)(3 +4i) = -16+37i\)

Hence, the equivalent expression of \((4 +7i)(3 +4i)\) is \(-16+37i\)

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It has n-k basic variables. The basic variables are the variables that are not free variables, and they are the ones that can be solved for as part of the general solution.

The general solution of a system of m linear equations in n variables contains k free variables. This means that there are k variables that have no restrictions and can take on any value. The remaining n-k variables are the basic variables, which are the ones that can be solved for as part of the general solution. The basic variables are the ones that have restrictions and need to be solved for in order to determine the solution of the system. In other words, the number of basic variables is equal to the number of variables minus the number of free variables. Thus, the general solution of the system has n-k basic variables.

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Answer:

Press down the brake firmly and smoothly. ...

Don't brake and swerve the car at the same time. ...

Avoid using your transmission for quick stops. ...

Focus on where you want to go, not what you want to avoid.

Answer:

its B because of the transmission and the forms put together in the same place bio log

The maximum area of lawn that can be watered is approximately 78.54 square meters.

To find the maximum area of lawn that can be watered by the sprinkler, we need to determine the radius of the circular area.

The radius is half the diameter, which in this case is 10m to the nearest tenth. So the radius would be half of that, which is 5m.

The formula to calculate the area of a circle is

A = π * r^2,

where A is the area and r is the radius.

Plugging in the value, we get A = π * 5^2.

Simplifying further, we have A = π * 25.

The maximum area of lawn that can be watered is approximately 78.54 square meters.

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Let's break down the expression for Tony's combined total earnings step by step.

First, we consider Tony's earnings as a tutor. He earns $11 per hour as a tutor, so the amount he earns from tutoring is given by the product of his hourly rate ($11) and the number of hours he worked as a tutor (t). This can be represented as $11t.

Next, we consider Tony's earnings as a waiter. He earns $13 per hour as a waiter, so the amount he earns from waiting tables is given by the product of his hourly rate ($13) and the number of hours he worked as a waiter. Since Tony worked a total of 106 hours this month and spent t hours as a tutor, he must have worked (106 - t) hours as a waiter. This can be represented as $13(106 - t).

To calculate Tony's combined total earnings for the month, we add the amount he earned as a tutor ($11t) to the amount he earned as a waiter ($13(106 - t)). This yields the expression:

Earnings = $11t + $13(106 - t)

This expression represents the total dollar amount Tony earned this month, considering the number of hours he worked as a tutor (t) and waiter (106 - t).

Answer:

m∠DBC = 46°

Step-by-step explanation:

Given:

From inspection of the given diagram, m∠ABC is a right angle.

Therefore, the sum of the two given angles is 90°:

⇒ m∠ABD + m∠DBC = 90°

⇒ (8x - 28) + (4x + 10) = 90

⇒ 8x - 28 + 4x + 10 = 90

⇒ 8x + 4x - 28 + 10 = 90

⇒ 12x - 18 = 90

⇒ 12x - 18 + 18 = 90 + 18

⇒ 12x = 108

⇒ 12x ÷ 12 = 108 ÷ 12

⇒ x = 9

Substitute the found value of x into the expression for m∠DBC:

⇒ m∠DBC = 4x + 10

⇒ m∠DBC = 4(9) + 10

⇒ m∠DBC = 36 + 10

⇒ m∠DBC = 46°

Answer:

20

Step-by-step explanation:

f(x)=x2+3x and g(x)=2x2, find (f ∘ g)(−1)

f(x)= (-1)(2) +3 (-1)= -2+-3= -5

g(x)= 2 (-1)2= -4

(f ∘ g)= -5 x -4= 20

Answer:

\(y =- \frac{1}{5}x - 4\)

Step-by-step explanation:

Slope-intercept form: y = mx + b

y = (x , y)

m = slope

x = (x , y)

b = y-intercept

First, set the given equation in slope intercept form:

\(3x + 15y = -60\\\\15y + 3x (-3x) = -60 (-3x)\\\\15y = -3x - 60\)

First, isolate the variable, y. Note the equal sign, what you do to one side, you do to the other. Divide 15 from both sides of the equation:

\(15y = -3x - 60\)

\(\frac{(15y)}{15} = \frac{(-3x - 60)}{15}\)

Simplify:

\(y = \frac{-3x - 60}{15} = -\frac{1}{5}x - 4\)

\(y =- \frac{1}{5}x - 4\) is your answer.

~

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Answer:

Step-by-step explanation:

Solve 19+ 6w = 67

W =?

19 + 6w = 67

6w = 67 - 19

6w = 48

w = 48 : 6

w = 8

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

check

19 + 6 x 8 = 67

19 + 48 = 67

67 = 67

the answer is good

1/3

each cat gets 1/3 of the food because 2/3 ÷ 2/1 = 1/3.

Answer:

y = -1x - 7

Step-by-step explanation:

y2 - y1 / x2 - x1

-6 - (-3) / -1 - (-4)

-3/3

= -1

y = -1x + b

-6 = -1(-1) + b

-6 = 1 + b

-7 = b

\(answer = 6 + 2b\\ solution \\ length = 3 \: m \\ breadth = b \: m \\ perimeter \: of \: rectangle = 2(l + b) \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 2(3 + b) \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 2 \times 3 + 2 \times b \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 6 + 2b \\ hope \: it \: helps \\ good \: luck \: on \: your \: assignment\)

The perimeter of the rectangle is P = 6 + 2b, where b is the width.

Given data:

To find the perimeter of a rectangle, we add the lengths of all its sides. In this case, the rectangle is 3 meters long and b meters broad.

The perimeter is calculated as follows:

Perimeter = 2 × (length + breadth)

Given that the length is 3 meters and the breadth is b meters, substitute these values into the formula:

Perimeter = 2 × (3 + b)

Simplifying the expression,

Perimeter = 6 + 2b

Hence, the perimeter of the rectangle is 6 + 2b meters.

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Given:

Answer:

this is a geometric sequence with a1 = 1

                                                         r = 2

=> the number of students who are absent in 6th day is the 6th number in this sequence

=> the number of students who are absent in 6th day is

\(a_{6} =a_{1} .2^{5}=1.2^{5}=32\)

=> the number of students in 6th day is 32 students

Step-by-step explanation: