solve for w: 3w = 12

For an airplane has an airspeed of 530 kilometers per hour bearing N45 degrees E,  the ground speed of the plane and its direction is mathematically given as

Generally, the equation for the velocity of the plane is mathematically given as

\(Vp=Fcos\thetai+Fsin\theta j\)

Therefore

Vp=530cos45i+530sin45j

Vp= 374.76i+374.76j

For wind speed

Vm=80cos(90+30)i+80sin(90+30)j

Vm=-40i+69.28j

Hence, there resultant is

Vr=Vm +Vp

Vr=374.76i+374.76j + 40i+69.28j

Vr=334.77i+1444.05j

In conclusion, the Ground speed is

\(Vg=\sqrt{334.77^2+1444.05^2}\)

Vg=556.10km/hr

Direction

\(Tan \theta=\frac{444.05}{334.77}\)

\(\theta=52.99East\)

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Applying the triangle sum theorem, the value of x is: 4.

When we add the three interior angles of a triangle together, the sum must be equal to 180 degrees according to the triangle sum theorem.

Given the triangle with the following interior angles, 35°, (22x - 3)°, and 60°. Therefore:

35 + (22x - 3) + 60 = 180 [triangle sum theorem]

Solve for x

35 + 22x - 3 + 60 = 180

Combine like terms

92 + 22x = 180

Subtract 92 from each side of the equation

92 + 22x - 92 = 180 - 92

22x = 88

Divide both sides by 22

22x/22 = 88/22

x = 4

Thus, applying the triangle sum theorem, the value of x is: 4.

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Answer:

$3480

Step-by-step explanation:

We know that the tax rate for the first $8000 is 15% and after $8000 the tax is 19%.

This means the total amount of money that Christine have to pay is equal to $8000 × 15% + ($20000 (the total) - $8000 (the amount that she already paid for the first $8000)) × 19%

This is equal to $1200 + $12000 × 19%

= $1200 + $2280

= $3480

Therefore, Christine must pay $3480 in income tax.

Answer:

WHAT ?

Step-by-step explanation:

Answer:

ac + ad + bc + ad

Step-by-step explanation:

We are going to be using the FOIL (First, Outer, Inner, Last) method.

If we use this, we end up with:

ac + ad + bc + ad

Answer:

The y-axis is upside down, meaning that instead of the values increasing as they go up, they decrease.

Answer:

the scale factor is 3/4

x = 16×3/4 = 12

Step-by-step explanation:

the only side length we have for both triangles is the short left side.

we see that we get ED from SR and need to transform 4 into 3. how do we do that ?

well,

4×f = 3

f = 3/4

that is the scaling factor, as all side lengths in EDF are created by multiplying the corresponding side in SRT by the same scaling factor (3/4).

therefore,

x = EF = ST×f = 16×3/4 = 4×3 = 12

Answer:

The scale factor is 4/3 and x is 12

Step-by-step explanation:

→ Divide RS by DE

4 ÷ 3 = 4/3

→ Divide the answer by 16

16 ÷ 4/3 = 12

Answer:

13.25

Step-by-step explanation:

1. you have to subract the cost of the drink:

94.25-1.50=92.75

2.you have to divide to get the individual cost of pizzas by doing

92.75÷7=13.25

so therefore your answer is 13.25 per pizza

Answer:

x = 7

Step-by-step explanation:

Answer:

x= 1

Step-by-step explanation:

Add four to both sides of the equation:

10x-4+4 = 2x+4+4

Simplify:

10x = 2x+8

Subtract 2x from both sides:

8x = 8

Cancel out terms:

x=

Simplify:

x=1

Answer:

(g ◦ f)(x) = g(f(x)) = cos(f(x)) = cos(7x2).

Answer:

the answer to a is 25, im unsure what B is.

Step-by-step explanation:

hope this helps!!!

Answer:

5945

Step-by-step explanation:

The sum for an arithmetic series is given by the formula:

\(S=(x_1+x_k)\cdot\frac{k}{2}\)

Where x₁ is the initial term, x_k is the last term, and k is the number of elements in the series.

From the sequence, we can see that the first term is 32. The last term is 113.

To determine how many elements we have, subtract 113 and 32:

\(113-32=81\)

However, we must add 1 to this number since this doesn't include the first term. Thus:

\(81+1=82\)

So, there are 82 terms in total.

Therefore, our sum is:

\(S=(32+113)\cdot\frac{82}{2}\)

\(S=(145)\cdot 41=5945\)

Answer:

5945

Step-by-step explanation:

an = a1 + ( n - 1) 1

a1 = first term

n = number of terms

an = last term

113 = 32 + ( n - 1 ) 1

113 = 32 + n -1

113 = 31 + n

n = 113 - 31

n = 82.

Sn = n/2(a1 + an)

S82 = 82/2 (32 + 113)

S82 = 41 (145)

S82 = 5945.

When writing a proof , by copying the “given” statement(s) from the original problem

Given data ,

A true assertion that is provided in the problem or is known to be true should be the first statement in a proof. The subsequent logical argument has this as its foundation.

We can provide the groundwork for the proof and proceed to the desired conclusion by duplicating the "given" statement(s) from the original problem.

Once the first statement is established, we can move on to writing additional statements that are each logically supported by the first statement.

The logical evolution of the preceding assertions demonstrates that the last statement should be the intended conclusion.

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The intersection of sets M and F contains the elements "c" and "d".

To find the intersection of sets M and F, we need to identify the elements that are common to both sets.

M = {a, b, c, d}

F = {c, d, e, f}

The intersection of M

and F is denoted by M ∩ F, which represents the set containing elements that are present in both M and F.

Looking at the elements in M and F, we can see that the common elements between the two sets are "c" and "d".

Therefore, the intersection of M and F can be expressed as:

M ∩ F = {c, d}

So, the intersection of sets M and F contains the elements "c" and "d".

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To make 10 to add 8 + 8 is 10 - 2 + 10 - 2 that is 16

Make 10, or Add up using 10 is a derived facts strategy. That means children need to know some facts by hear before they can use a make 10 strategy. The key facts for using a make 10 strategy are 8+2=10 and 9+1=10.

We need to make 10 to add 8 + 8.

8  + 8 = (10 - 2) + (10 - 2)

8 + 8 = 10 - 2 + 10 - 2

8 + 8 = 20 - 4

8 + 8 = 16

Thus, to make 10 to add 8 + 8 is 10 - 2 + 10 - 2 that is 16

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Based on the information, the Stafford loan will have a lower balance by $527.14 at the time of repayment

Using the formula for compound interest, the total cost of the loan can be calculated as follows:

Total cost of Stafford loan = $11,650 x (1 + 0.0595/12)^(12*0.5) = $12,652.14

Total cost of PLUS loan = $12,436.41 x (1 + 0.0655/12)^12 = $13,179.28

Therefore, the Stafford loan will have a lower balance at the time of repayment by $527.14 ($13,179.28 - $12,652.14).

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Answer:

x = -2

Step-by-step explanation:

-4x + 3 = 11

Subtract 3 from both sides:

-4x = 8

Divide both sides by -4:

x = -2

Answer:

g(x)=√(x-2)+3

Explanation:

Number 12

The function f(x) is defined as follows:

We see that the graph of g(x) has a Vertical Translation of f(x) Up by 3 units.

Therefore, we have:

The graph of f(x) is also Translated Horizontally Right by 2 units.

The equation for g(x) represented by the solid line will then be:

The patient should receive 909 mL of the TPN solution per day.

To determine the amount of the TPN solution the patient should receive per day, we need to use the following formula:

amount of TPN solution = (grams of protein needed / percentage of amino acids in TPN solution) × 100

In this case, we are given that the TPN solution contains 8.25% amino acids and that the patient needs 75 grams of protein per day. Substituting these values into the formula, we get:

amount of TPN solution = (75 / 8.25) × 100

amount of TPN solution = 9.09 × 100

amount of TPN solution = 909 mL

Therefore, the patient should receive 909 mL of the TPN solution per day.

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Answer:

Yes

Step-by-step explanation:

First, suppose that nothing has changed, and possibility p is still 0.56. It's our null hypothesis. Now, we've got Bernoulli distribution, but 30 is big enough to consider Gaussian distribution instead.

It has mean μ= np =  30×0.56=16.8

standard deviation s = √npq

sqrt(30×0.56×(1-0.56)) = 2.71

So 21 is (21-16.8)/2.71 = 1.5494 standard deviations above the mean. So the level increased with a ˜ 0.005 level of significance, and there is sufficient evidence.

Answer:

two and a half miles

Step-by-step explanation:

Answer:

To solve for x, we need to isolate x on one side of the equation.

Starting with the equation:

ax - b = 4

We can add b to both sides:

ax = b + 4

Next, we can divide both sides by A:

x = (b + 4) / a

Therefore, the solution for x is:

x = (b + 4) / a

Note that this solution is always defined since a cannot be equal to 0 (as stated in the problem statement).

Step-by-step explanation:

Answer:

X = 3

Bc = 6

AC = 12

Step-by-step explanation:

Hope it helped

Answer: i am also looking for the answer so far i’ve gotten x=200 but it told me it was wrong feel free to try it i guess

9514 1404 393

Answer:

  -4

Step-by-step explanation:

(f/g)(1) = f(1)/g(1) = 4/-1 = -4

__

Read f(1) and g(1) from the table. They are listed in the column with x=1.

Answer: A

Step-by-step explanation: The bluebird Inn is more expensive per night because 475 is greater than 350.