7. Find an equation of the line containing (- 4,5) and perpendicular to the line 5x - 3y = 4.

Answer:

x = -3 and y = -5

Step-by-step explanation:

2x - y = -1  ⇒  y = 2x + 1

Substitute this into  3x - 2y = 1 to solve for x:

3x - 2(2x + 1 ) = 1  ⇒  3x - 4x - 2 = 1  ⇒  -x = 3  ⇒  x = -3

Now sub the value you found for x into y = 2x + 1 to find y:

y = 2(-3) + 1 = -5

So x = -3 and y = -5

Answer:

$1470

Step-by-step explanation:

$2100 * 70% = $1470

Answer:

Answer:

y - mx = b ( second choice )

Step-by-step explanation:

given y = mx + b

Isolate b by subtracting mx from both sides

y - mx = b

Step-by-step explanation:

Answer:

Explanation:

Answer:

y = - x + 1

Step-by-step explanation:

Slope = 2/-2 = -1

y-intercept: 1

y = -x + 1

Answer:

y = -x + 1

Step-by-step explanation:

Given the points (2, -1) and (0, 1):

Let (x1, y1) = (2, -1)

(x2, y2) = (0, 1)

Substitute these values into the slope formula:

m = (y2 - y1)/(x2 - x1)

m = [1 - (-1)] /(0 - 2)

m = (1 + 1)/ -2

m = 2/-2 = -1

Therefore, the slope, m = -1.

Next, the y-intercept is the y-coordinate of the point (0, b) where the graph of the linear equation crosses the y-axis. The y-intercept is also the value of y when x = 0.

The ordered pair, (0, 1) represents the y-intercept. Its y-coordinate is the value of b = 1.

Therefore, the linear equation of the graph in slope-intercept form is:

y = -x + 1

Answer:

3

Step-by-step explanation:

Given expression :-

It will be composite if it will has more than 2 factors ( other than 1 and itself )

If n = 1 :-

If n = 2 :-

If n = 3 :-

The given function is f(x) = 2(3x) = 6x.

The domain of the function is all real numbers since there are no restrictions on the input x. Therefore, the correct answer is:

Domain: (-∞, ∞)

To find the range, we can consider the fact that the function is a linear function with a positive slope of 6. This means that the output values increase as the input values increase.

The lowest possible output value occurs when x = 0, which gives f(0) = 0. As x increases, the output values increase without bound. Therefore, the range of the function is:

Range: (0, ∞)

So, the correct answer is:

Domain: (-∞, ∞)

Range: (0, ∞)

Using the law of cosines, it is found that the length of side AB is of AB = 13.

The law of cosines states that we can find the angle C of a triangle as follows:

\(c^2 = a^2 + b^2 - 2ab\cos{C}\)

in which:

For this problem, the parameters are:

C = 120, a = 8, b = 7.

Hence:

\(c^2 = a^2 + b^2 - 2ab\cos{C}\)

\(c^2 = 8^2 + 7^2 - 2(8)(7)\cos{120^\circ}\)

\(c^2 = 169\)

\(c = \sqrt{169}\)

c = 13.

Hence AB = 13.

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Answer:

see image

Step-by-step explanation:

Answer:

400000000. it's ur ans it was very hard pls chat me

there will be 8 zeros

Answer:

400,000,000,

Step-by-step explanation:

The probability of rolling a 2 when rolling two dice is 1/36. This is because there are 36 possible outcomes when rolling two dice, and only one of those outcomes is a 2.

To calculate the probability of rolling a 2, we need to consider all of the possible outcomes. There are 6 possible outcomes for each die, so there are a total of 6 x 6 = 36 possible outcomes when rolling two dice. Only one of these outcomes is a 2, so the probability of rolling a 2 is 1/36.

It is also possible to calculate the probability of rolling a 2 by using the formula for the probability of two independent events. In this case, the two independent events are rolling a 2 on the first die and rolling a 2 on the second die.

The probability of rolling a 2 on any given die is 1/6, so the probability of rolling a 2 on both dice is 1/6 x 1/6 = 1/36.

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To determine the complex exponential Fourier series representation for each of the given signals, we can use the formula:

X(t) = ∑[n=-∞ to ∞] Cn * e^(jnω0*t)

where Cn represents the complex Fourier coefficients and ω0 is the fundamental frequency.

X(t) = cos(ωt):

The complex exponential Fourier series representation for X(t) = cos(ωt) is:

X(t) = C0 * e^(j0ω0t) + C1 * e^(j1ω0t) + C(-1) * e^(j*(-1)ω0t)

= C0 + C1 * e^(jω0t) + C(-1) * e^(-jω0t)

x(t) = -cos(0.5 * ωt):

The complex exponential Fourier series representation for x(t) = -cos(0.5 * ωt) is:

x(t) = C0 * e^(j0ω0t) + C0 * e^(j0ω0t) + C1 * e^(j1ω0t) + C(-1) * e^(j(-1)ω0t)

= C0 + C0 + C1 * e^(j0.5ω0t) + C(-1) * e^(-j0.5ω0t)

x(t) = cos(2t + 1):

The complex exponential Fourier series representation for x(t) = cos(2t + 1) is:

x(t) = C0 * e^(j0ω0t) + C2 * e^(j2ω0t) + C(-2) * e^(j*(-2)ω0t)

= C0 + C2 * e^(j2ω0t) + C(-2) * e^(-j2ω0t)

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Answer:

34.56

Step-by-step explanation:

The arc length of the full circle is given by 2*pi*radius

the radius is 11, so the full cicle has a length of 22*pi

half of that is 11*pi which is approximately equal to 34.56

Answer:

9

Step-by-step explanation:

Don't look at this as numbers, DO NOT do that. It's really simple if you think about it for a bit. If the result if 22 more than a tripled number, the number would probably be 11, since 11 x 3 = 33 and 33 - 11 = 22. And since 2 is added to make the sum (that's tripled; or 11), your answer is 9. Hope this helped :D

Answer:

The Rule for 2 : Any whole number that ends in 0, 2, 4, 6, or 8 will be divisible by 2. This is the number four hundred fifty-six thousand, seven hundred ninety-one, eight hundred twenty-four. We can tell if 2 divides into this number without a remainder by just looking at the last digit.

Step-by-step explanation:

Emila gοt a tοtal οf 2 + 7 = 9 marbles.

Let's first find οut which bags each friend gοt. Since each friend tοοk twο bags, we can subtract the marbles each friend gοt frοm the tοtal number οf marbles in the twο bags tο find οut the number οf marbles in the οther bag.

Amina gοt 5 marbles, sο the tοtal number οf marbles in her twο bags must be 1 + 4 οr 2 + 3. Let's assume she gοt bags with 1 and 4 marbles.

Then, the bags left fοr the οther friends are:

Bag 2: Breanna οr Chyna

Bag 5: Breanna οr Chyna

Bag 6: Deiοn οr Emila

Bag 7: Deiοn οr Emila

Bag 8: Available tο any friend

Bag 9: Available tο any friend

Bag 10: Available tο any friend

Breanna gοt 7 marbles, sο the tοtal number οf marbles in her twο bags must be 3 + 4. Therefοre, Chyna gοt bags with 2 and 5 marbles.

Chyna gοt 9 marbles, sο the tοtal number οf marbles in her twο bags must be 4 + 5. Therefοre, Deiοn gοt bags with 1 and 8 marbles.

Deiοn gοt 15 marbles, sο the tοtal number οf marbles in his twο bags must be 6 + 9. Therefοre, Emila gοt bags with 2 and 7 marbles.

Therefοre, Emila gοt a tοtal οf 2 + 7 = 9 marbles.

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The answer of the question is ,  the measure of angle ∠ABC is 90 degrees. Answer: (b) 90°.

An isosceles triangle is  type of triangle in which two of it sides have the same length. These two sides are called leg, and the third side is called the base.

Let x be the measure of angle BDC. Since AD = BD and BD = BC, we have AD = BC. Therefore, triangle ADB is an isosceles triangle, so angles ABD and BAD are congruent. Thus, the measure of angle ABD is also x.

Since the measure of angle ∠ADB is twice the measure of angle ∠BDC, we have:

m(angle ∠ADB) = 2m(angle ∠BDC)

m(angle ∠ADB) = 2x

Also, since AD = BD = BC, we have:

m(angle∠ ABD) + m(angle∠ BDC) + m(angle ∠ADB) = 180

Substituting the values we have found, we get:

x + x + 2x = 180

4x = 180

x = 45

Therefore, the measure of angle ∠ADB is:

m(angle ∠ADB) = 2x = 2(45) = 90

Since triangle ADB is isosceles, we have:

m(angle ∠ABD) = m(angle ∠BAD) = x = 45

we have:

m(angle ∠ABC) = 180 - m(angle ∠ABD) - m(angle ∠BDC) = 180 - 45 - 45 = 90

Therefore, the measure of angle ∠ABC is 90 degrees. Answer: (b) 90°.

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For solving the inequalities, there are more than four steps.

The step to solve given inequalities, the first step is to add the same number to both sides, the second step is to  Subtract the same number from both sides and the third step is to  Multiply both sides by the same positive number, and the fourth step is to  Divide both sides by the same positive number, and the fifth step is to Multiply both sides by the same negative number and reverse the sign and the last step is to Divide both sides by the same negative number and reverse the sign. Out of which steps 2,3,4 and 5 are the most important steps.

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The formula the capital gains yield = (pt 1 â pt)/dt is false.

The proper equation for  capital gains yield

return on investment = (pt - pt-1)/pt-1

where pt= cost of the resource at the conclusion of the holding period and pt-1 = cost at the start of the holding period.

 This equation communicates the rate increment (or diminish) within the cost of a resource over the holding period and could be a degree of speculation return due to changes within the cost of the resource. 

The term 'dt' in the original formula is not well defined and is not typically used in the context of calculating return on investment.  yield = (pt 1 â pt)/dt is false.

The proper equation for return on investment is:

return on investment = (pt - pt-1)/pt-1

where pt= cost of the resource at the conclusion of the holding period and pt-1 = cost at the start of the holding period.

 This equation communicates the rate increment (or diminish) within the cost of a resource over the holding period and could be a degree of speculation return due to changes within the cost of the resource. 

The term 'dt' in the original formula is not well defined and is not typically used in the context of calculating return on investment. 

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The height of the building is 71 meters.

We can solve this problem using the similar triangles. The height of the building can be determined by setting up the following proportion:

(the height of pole) / (length of pole's shadow) = (height of building) / (length of building's shadow)

Substituting the given values:

2.8 / 1.49 = (height of building) / 37.5

To find the height of the building, we can cross-multiply and solve for it:

(2.8 * 37.5) / 1.49 = height of building

Calculating the expression on the right side:

(2.8 * 37.5) / 1.49 ≈ 70.7013

Rounding to the nearest meter, the height of the building is approximately 71 meters.

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Answer:

A. Alternate Interior

Step-by-step explanation:

A. Alternate interior

Step-by-step explanation:

Angles a and b are alternate interior angles,

Alternate interior angles are equal.

Also,

a = b

The set X∩(X - Y) is {e, c}.

To find X∩(X - Y) using the listing method, we need to list out the elements that are common to both X and (X - Y).

X - Y = {e, c}

X∩(X - Y) = {e, c}

Therefore, the set X∩(X - Y) is {e, c}.

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Step 1

write out the eqaution

2.8n = 9.8

Step 2

Divide through by coefficient of unknown variable 'n'

Answer:

ummm im sorry i will answer in the comments

Step-by-step explanation:

Answer:

x=4

Step-by-step explanation:

if you plot y= -3 and the point (4,-6) you will see that the only answer can be x=4

Answer:the cycle repeats every 2pi radians

Step-by-step explanation:

Answer:

The statement which does not describe the tangent function is A. The cycle repeats every 2pi radians.

Step-by-step explanation:

The tangent function is the ratio of the length of the opposite side to that of the adjacent side. It is also described  as the ratio of sine and cos .

If we analyses the tan function graph we will happened to find that it repeats itself after every π radian .

So, its cycle cannot repeat every 2pi radians.

Therefore,  The statement which says that The cycle repeats every 2pi radians does not describe the tangent function.

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Volume of a Cylinder = pi * r^2 * h

V / (pi*r^2) = h

12157 / (pi * 9^2) = h = 47.774

A complementary angle of another angle is the angle that when you add it to that angle, you get 90 degrees.

For example, we have angle A. When we add the complementary angle of angle A, you get 90 degrees. :)

So, what we can do for this problem is create an equation! :)

x + 70.2° = "an angle"

x = complementary angle

Notice: I put the 70.2° to show the difference between the complementary angle and the angle itself.

Now, we can make an equation!

(x + 70.2°) + x = 90

2x = 19.8

x = 19.8/2

x = 9.9 degrees

One angle is 9.9 degrees, and the other angle is x + 70.2 = 9.9 + 70.2 = 80.1 degrees. We can see that when we add 9.9 and 80.1 we get 90 degrees, and when you minus 9.9 from 80.1, you get 70.2. :)

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equal sides of an isosceles triangle are given as 30 cm each if the perimeter of the triangle is 67 cm,find the third sides please help me answer please please please

The 49th percentile of the data is 52, and the 89th percentile is approximately 73.6.

To calculate the 49th and 89th percentiles of the data, we first need to arrange the data in ascending order. The sorted data set is as follows: 11, 24, 31, 32, 34, 52, 62, 65, 73, 84.

To compute the 49th percentile, we calculate (49/100) * (n + 1) = (49/100) * (11 + 1) = 6. The 6th value in the sorted data set is 52, so the 49th percentile is 52.

To compute the 89th percentile, we calculate (89/100) * (n + 1) = (89/100) * (11 + 1) = 10.8. Since 10.8 is not an integer, we need to interpolate between the 10th and 11th values. Interpolating using linear interpolation, we find that the 89th percentile is approximately 73.6.

Therefore, the 49th percentile of the data is 52, and the 89th percentile is approximately 73.6.

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