Graph the system of inequalities.

(x-y< or = to 1
(x+2y < 4

Therefore  [tex]\overrightarrow{\mathrm{a.b}}=3.00 \hat{i}+6.00 \hat{j}[/tex]

Ax=-2.54 Ay=2.32

The sum of two or more vectors is called the Resultant.

The Resultant is the vector sum of two or more vectors. It is the result of adding two or more vectors together. If displacement vectors A, B, and C are added together, the result will be vector R.

[tex]$$\mathrm{A}_{\mathrm{x}}=-3.00, \mathrm{~A}_{\mathrm{y}}=2.00$$(a) $\overrightarrow{\mathrm{A}}=\mathrm{A}_{\mathrm{x}} \hat{\mathrm{i}}+\mathrm{A}_{\mathrm{y}} \hat{\mathrm{j}}=-3.00 \hat{\mathrm{i}}+2.00 \hat{\mathrm{j}}$(b) $|\overrightarrow{\mathrm{A}}|=\sqrt{\mathrm{A}_{\mathrm{z}}^2+\mathrm{A}_{\mathrm{y}}^2}=\sqrt{(-3.00)^2+(2.00)^2}=3.61$$$\theta=\tan ^{-1}\left(\frac{\mathrm{A}_{\mathrm{Y}}}{\mathrm{A}_{\mathrm{K}}}\right)=\tan ^{-1}\left(\frac{2.00}{-3.00}\right)=-33.7^0$$[/tex]

[tex]$\theta=180^{\circ}+\left(-33.7^{\circ}\right)=146^{\circ}$[/tex]

[tex]$\mathrm{R}_{\mathrm{x}}=0, \mathrm{R}_{\mathrm{y}}=-4.00$ and $\overrightarrow{\mathrm{R}}=\overrightarrow{\mathrm{A}}+\overrightarrow{\mathrm{B}}$, thus $\overrightarrow{\mathrm{B}}=\overrightarrow{\mathrm{R}}-\overrightarrow{\mathrm{A}}$ and$$\mathrm{B}_{\mathrm{x}}=\mathrm{R}_{\mathrm{x}}-\mathrm{A}_{\mathrm{x}}=0-(-3.00)=3.00, \mathrm{~B}_{\mathrm{y}}=\mathrm{R}_{\mathrm{y}}-\mathrm{A}_{\mathrm{y}}=-4.00-2.00=-6.00$$[/tex]

[tex]\text { Therefore, } \overrightarrow{\mathrm{a,b}}=3.00 \hat{i}+6.00 \hat{j}[/tex]

[tex]\text { Therefore, } \overrightarrow{\mathrm{a.b}}=3.00 \hat{i}+6.00 \hat{j}[/tex]

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Answer:

The length of the third side of the triangle is 30.

Step-by-step explanation:

Here is the formula for the Pythagorean Theorem:

[tex]a^{2} + b^{2} = c^{2}[/tex]

The hypotenuse, based on the problem, is 50. Anyways, let's get back to calculating!

We need to multiply 40 times 40 and 50 times 50.

40 times 40, or 40 squared, equals to 1600.

50 times 50, or 50 squared, equals to 2500.

[tex]c^{2} - b^{2} = a^{2}[/tex]

Now, let's subtract. 2500 - 1600 = 900. We need to find the square root of 900--which is 30, because 30 times 30, or 30 squared, equals to 900.

Answer:

30

Step-by-step explanation:

c=√a^2+b^2

a=√c^2-b^2 = √50^2-40^2 = 30

Answer:

m=81

Step-by-step explanation:

14 x 1.5 = 21

54 x 1.5 = 81

Answer:

m = 81

Step-by-step explanation:

divide by 54/14 from both sides.

you'll remain with 81/m

then divide with m/1 on both sides giving you m= 81

Answer:

Step-by-step explanation:

Answer:

120

Step-by-step explanation:

Exterior angle theorem

50 + 70 = 120

Answer:

120

Step-by-step explanation:

the insides of a triangle add up to 180 degrees. You're given 70 and 50 degrees which add to 120 and that means the other angle is 60 degrees. Since you're trying to find an outside angle, you need to do subtract the 60 degrees we just found from 180 (because its a supplementary angle). 180-60 is 120 and thats the answer

Answer:

the answer is 9.85

Step-by-step explanation:

the answer is 9.85 because the area is 19.7 so all you have to do is divide it by 2

Answer: $2,200

Step-by-step explanation:

The opportunity cost is the sum of the amount she spent on the election and the amount she would lose in total from serving on the student government.

Amount she would lose in wages

= 7 * 10 hours * 30 weeks

= $2,100

Opportunity cost = 2,100 + 100

= $2,200

Answer:

33 Minutes

Step-by-step explanation:

Just take 11/2 time 6 and get 33 minutes.

limₐ→∞xₙₐ= limₙ→∞xₙ= L;

Let xₙ be a monotonically increasing sequence. Thus:

xₙ₊₁≥xₙ

Consider a subsequence of xₙ namely xₙₐ. Then:

xₙₐ≥xₙ, ∀nₐ≥n

We are also given that:

limₐ→∞xₙₐ=L

Given that fact we know that xₙₐ is bounded above. Therefore:

xₙ≤xₙₐ≤L

Now by monotone convergence theorem a monotone bounded sequence must be convergent. Also by uniqueness of a limit for a convergent sequence and the fact that all its subsequences are also convergent to the same limit:

limₐ→∞xₙₐ= limₙ→∞xₙ= L

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Answer:fbf

Step-by-step explanation:

There is only one value of c that satisfies the requirements.

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

Work Shown:

Let's compute the function value at the given endpoints of the interval.

[tex]f(x) = 4\sin(x)\\\\f(\pi) = 4\sin(\pi) = 0\\\\f(0) = 4\sin(0) = 0\\\\[/tex]

Which means,

[tex]f'(c) = \frac{f(b)-f(a)}{b-a}\\\\f'(c) = \frac{f(\pi)-f(0)}{\pi-0}\\\\f'(c) = \frac{0-0}{\pi}\\\\f'(c) = \frac{0}{\pi}\\\\f'(c) = 0\\\\[/tex]

We want to find all values of c such that the derivative is 0.

This can be rephrased into wanting to solve [tex]4\cos(x) = 0\\\\[/tex] since the derivative of sine is cosine

In other words, [tex]f(x) = 4\sin(x)\\\\[/tex] turns into [tex]f'(x) = 4\cos(x)\\\\[/tex]

Solving that equation leads to:

[tex]4\cos(x) = 0\\\\\cos(x) = 0\\\\x = \frac{\pi}{2}\\\\[/tex]

Use a reference table or the unit circle to determine this.

This is the value of c that satisfies f ' (c) = 0, such that [tex]0 < c < \pi[/tex]. No other value of c works.

If you graphed f(x) = 4sin(x), and only focused on the interval [0,pi], then you'll find that there's a horizontal tangent at the point (pi/2, 4). Note how the endpoints have the same y value so that's why the average rate of change over [0,pi] is 0.

Side note: this is an application of Rolle's Theorem

Answer:

4

Step-by-step explanation:

To get 22 with four consecutive integers, we need the integers 4, 5, 6, and 7.

(4 and 5 equal 9, then 9 and 6 equal 15, and 15 and 7 equal 22.)

4 is the smallest of these four, and thus the least of these.

Answer:

195 = 3 mph

Step-by-step explanation:

This is probly wrong but I tried

Answer: It is $42.4

Step-by-step explanation: Multiply (0.20)(53), you get 10.6, now that's the price that is discounted, so subtract that from the total, to get $42.4. If you want to check your answer, do 42.4/53 and you would get 0.80, or 80%. That is what you should get since you have a 20% discount from 100% of a product.

Answer:

the sales price is $10.60

Step-by-step explanation:

to find 20% of 53, I multiplied 53 by 20 and 100 by a (i used the variable a to substitute for the answer we are going to get)

53 x 20 = 1060

100 x a = 100a

In order to get "a" we have to divide by 100 for each number.

1060 ÷ 100 = 10.6

100a ÷ 100 = a

in conclusion, a = 10.6, or $10.60 hope this helps :)

Answer:

The second table shows a linear function

Step-by-step explanation:

The linear function intersect at -2

Answer:

a

Step-by-step explanation:

bc there zapping at the same spot which will not rotate around

Answer:

#4 is c

Step-by-step explanation:

bc the slope is negative & they y intercept is 5

Answer:

4. c

5. y=7/8x+1

6. y=-10x

7. y=2.5-7

8. y=1.2x

9. y=-5x-8

Step-by-step explanation:

4. because the graph is in a negative direction and the point is higher than 0

5. non-proportional means it doesn't pass through (0,0)

6. the y-intercept would be 0 so there is no b

7. the slope would be positive because it says it goes from left to right

8. same explanation as 6

9. only one with both a negative slope and y-intercept

$161.50

Step-by-step explanation:

4.25% of $3800 is $161.50

Answer:

He had 3 2/5 pies left when he got home.

Step-by-step explanation:

Hope this helped have an amazing day!

The fraction of candy cane pies that Dasher left is 8/5.

In such a fraction, the value that appears above the horizontal line is referred to as the numerator.

In another word, if we divide two numbers by each other then the upper word is called the numerator, and the lower word is called the denominator.

As per the given,

Number of candy cane pies that Dasher order = 4

Fraction he ate = 3/5

Left = 4 - ate

Left = 4 - (3/5)4

Left = 4(1 - 3/5)

Left = 4(2/5)

Left = 8/5

Hence "The fraction of candy cane pies that Dasher left is 8/5".

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Answer:

9/3 or 3

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

9/12 divided by 1/4 is 9/12 x 4/1=36/12=3

Answer:

AAS

Step-by-step explanation:

im bad at this stuff you can take your risk or look at other answers

Answer:

26

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define

x + y + 5

x = 6

y = 15

Step 2: Evaluate

By using the formula of compound interest we can say that at the end of second year Mrs. Smith will have $65,771.58.

The interest earned from the initial deposit plus the cumulative interest is known as compound interest.

A = P(1 + r/n)^(nt), where P is the principle balance, r is the interest rate, n is the number of times interest is compounded per time period, and t is the total number of time periods, is the formula for compound interest.

Given that,

For first year,

P (principal) = $60,000.00

R = 4.3%

n  = 1

t = 1

First, convert R as a percent to r as a decimal

r = R/100

r = 4.3/100

r = 0.043 rate per year,

Then solve the equation for A

A = P(1 + r/n)^nt

A = 60,000.00(1 + 0.043/1)^(1×1)

A = 60,000.00(1 + 0.043)^(1)

A = $62,580.00

A = P + I  where,

P (principal) = $60,000.00

I (interest) = $2,580.00

So, by the end of second year Mrs. Smith will have $62,580.00.

Now, the amount calculated from first year will become the principle for second year.

For second year,

P (principal) = $62,580.00

R = 5.1%

n=1

t=1

First, convert R as a percent to r as a decimal

r = R/100

r = 5.1/100

r = 0.051 rate per year,

Then solve the equation for A

A = P(1 + r/n)^nt

A = 62,580.00(1 + 0.051/1)^(1×1)

A = 62,580.00(1 + 0.051)^(1)

A = $65,771.58

A = P + I where,

P (principal) = $62,580.00

I (interest) = $3,191.58

So, by the end of second year Mrs. Smith will have $65,771.58.

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Answer:

0

Step-by-step explanation:

ndjejdge Hell wkdbs hru osdhdvgd

Answer: i have no clue

Step-by-step explanation:

Answer:

2/4-1/3= 6/12-4/12

=2/12

=1/6