Help please if you know the answer

Answer:

range is y-coordinates so it should be 40

Step-by-step explanation:

domain is x-coordinates

Answer:

14,621 lbs.

Step-by-step explanation:

It says at the beginning of the question that the school district collected 14,621 lbs. of recycling. The part where it says that the school district collected 3,943 lbs. of recycling more than last year is un-needed information.

Answer:

a = b = 3√2

Step-by-step explanation:

Use trigonometry:

\( \sin(45°) = \frac{a}{6} \)

Cross-multiply to find a:

\(a = 6 \times \sin(45°) = 6 \times \frac{ \sqrt{2} }{2} = \frac{6 \sqrt{2} }{2} = 3 \sqrt{2} \)

Use the Pythagorean theorem to find b:

\( {b}^{2} = {6}^{2} - {a}^{2} \)

\( {b}^{2} = {6}^{2} - ( {3 \sqrt{2}) }^{2} = 36 - 9 \times 2 = 36 - 18 = 18\)

\(b > 0\)

\(b = \sqrt{18} = 3 \sqrt{2} \)

The value of x in the triangle is determined as 45.

The value of x in the triangle is calculated by applying the following formula,.

The measure of angle ABD = 0.2x + 52

The measure of angle CBD = 0.2x + 42

From the diagram, we can set-up the following equations;

x + 16 = 0.2x + 52

Simplify the equation above, by collecting similar terms;

x - 0.2x = 52 - 16

0.8x = 36

Divide both sides of the equation by " 0.8 "

0.8x / 0.8 = 36/0.8

x = 45

Thus, the value of x in the triangle is calculated by equating the appropriate values to each other.

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To show that ΔJKL ≅ ΔMNR by SAS (Side-Angle-Side), we need the additional information that the lengths of the corresponding sides JK and MN are equal.

To prove ΔJKL ≅ ΔMNR using the SAS congruence criterion, we need to establish that two corresponding sides and the included angle of the triangles are congruent.

1. Given information:

  - KL ≅ NR (corresponding sides)

  - JL ≅ MR (corresponding sides)

  - ∠J ≅ ∠M (included angle)

  - ∠L ≅ ∠R (corresponding angles)

  - ∠K ≅ ∠N (corresponding angles)

  - ∠R ≅ ∠K (corresponding angles)

2. Additional information needed:

  - We need to know if JK ≅ MN (corresponding sides) to establish the SAS congruence criterion.

3. Possible scenarios:

  - If JK ≅ MN, then we can establish that ΔJKL ≅ ΔMNR by SAS.

  - If JK is not equal to MN, then we cannot apply the SAS congruence criterion, and additional information or a different congruence criterion would be needed to prove the triangles congruent.

In summary, the lengths of the corresponding sides JK and MN need to be equal to prove ΔJKL ≅ ΔMNR by SAS. Without this information, we cannot conclude the congruence of the triangles using the SAS criterion alone.

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Answer:

074°

Step-by-step explanation:

the bearing of Y from X is the measure of the angle from the north line (N) at X in a clockwise direction to Y , that is ∠ NXY

∠ NXY = 180° - 106° = 74°

the 3- figure bearing of Y from X is 074°

The completely factoring form of 6a^2 - 15a + 6 is 3(2a - 1)(a - 2).

To completely factor the expression 6a^2 - 15a + 6, the first step is to check if there is a common factor among the coefficients (6, -15, and 6) and the terms (a^2, a, and 1).

In this case, we can see that the common factor among the coefficients is 3, so we can factor out 3:

3(2a^2 - 5a + 2)

Now we need to factor the quadratic expression inside the parentheses further. We are looking for two binomials that, when multiplied, give us 2a^2 - 5a + 2. The factors of 2a^2 are 2a and a, and the factors of 2 are 2 and 1. We need to find two numbers that multiply to give 2 and add up to -5.

The numbers -2 and -1 fit this criteria, so we can rewrite the expression as:

3(2a - 1)(a - 2)

Therefore, the completely factored form of 6a^2 - 15a + 6 is 3(2a - 1)(a - 2).

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One of the cubic root of -1 is -1 itself.

The other two roots are imaginary numbers, and we can find them drawing an equilateral triangle in an unitary circle, with one vertex being the root (-1, 0):

The solution to the inequality 6x - 6 < -30 is x < -4, and it is graphically represented as a closed circle at -4 and shading to the left of -4 on the number line.

To solve the inequality 6x - 6 < -30, we can follow these steps:

Step 1: Add 6 to both sides of the inequality to isolate the variable:

6x - 6 + 6 < -30 + 6

6x < -24

Step 2: Divide both sides of the inequality by 6 to solve for x:

(6x)/6 < (-24)/6

x < -4

The solution to the inequality is x < -4. This means that any value of x less than -4 will satisfy the inequality.

To graph the solution on the number line, we represent -4 as a closed circle (since it is not included in the solution) and shade the region to the left of -4 to indicate all values less than -4.

On the number line, mark a point at -4 with a closed circle:

<--------●-----------------

Then, shade the region to the left of -4:

<--------●================

The shaded region represents the solution to the inequality x < -4.

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The standard form of "18 hundreds 11 tens" is 1910.

To write "18 hundreds 11 tens" in standard form, we need to convert the given number into its numerical representation.

We know that 1 hundred is equal to 100, and 1 ten is equal to 10.

So, to find the numerical value of "18 hundreds 11 tens," we multiply the respective values by their place values and then add them together.

18 hundreds = 18 x 100 = 1800

11 tens = 11 x 10 = 110

To find the standard form, we add the two values:

1800 + 110 = 1910

Therefore, "18 hundreds 11 tens" in standard form is 1910.

In standard form, numbers are written using digits, without any reference to place value units like hundreds or tens.

The standard form of a number represents its numerical value directly. So, the numerical value of "18 hundreds 11 tens" is 1910, which is its standard form.

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Answer:

5⁰ × 7⁰ × 3⁰ = 1

Step-by-step explanation:

5⁰ × 7⁰ × 3⁰ = ?

5⁰ = 1

7⁰ = 1

3⁰ = 1

1 × 1 × 1 = 1

Answer:

the answer is 24192

Answer: 24192

Step-by-step explanation:

Answer:

For parallel:

gradient is 1/5

\(y = mx + c\)

consider (5, -2):

\( - 2 = ( \frac{1}{5} \times 5) + c \\ - 2 = 1 + c \\ c = - 3\)

\({ \boxed{ \bf{equation : y = \frac{1}{5}x - 3 }}}\)

For perpendicular:

gradient, m1:

\(m _{1} \times m_{2} = - 1 \\ m _{1} \times \frac{1}{5} = - 1 \\ \\ m _{1} = - 5\)

gradient = -5

\(y = mx + c \\ - 2 = (5 \times - 5) + c \\ - 2 = - 25 + c \\ c = 23\)

\({ \boxed{ \bf{equation :y = - 5x + 23 }}}\)

Answer:

Parallel: \(y=\displaystyle \frac{1}{5}x-3\)

Perpendicular: \(y=-5x+23\)

Step-by-step explanation:

Hi there!

What we must know:

Finding the Parallel Line

\(y=\displaystyle \frac{1}{5} x-3\)

Given this equation, we can identify that its slope (m) is \(\displaystyle \frac{1}{5}\). Because parallel lines always have the same slope, the slope of the line we're currently solving for would be \(\displaystyle \frac{1}{5}\) as well. Plug this into \(y=mx+b\):

\(y=\displaystyle \frac{1}{5}x+b\)

Now, to find the y-intercept, plug in the given point (5,-2) and solve for b:

\(-2=\displaystyle \frac{1}{5}(5)+b\\\\-2=1+b\\-2-1=b\\-3=b\)

Therefore, the y-intercept is -3. Plug this back into \(y=\displaystyle \frac{1}{5}x+b\):

\(y=\displaystyle \frac{1}{5}x+(-3)\\\\y=\displaystyle \frac{1}{5}x-3\)

Our final equation is \(y=\displaystyle \frac{1}{5}x-3\).

Finding the Perpendicular Line

\(y=\displaystyle \frac{1}{5} x-3\)

Again, the slope of this line is \(\displaystyle \frac{1}{5}\). The slopes of perpendicular lines are negative reciprocals, so the slope of the line we're solving for would be -5. Plug this into \(y=mx+b\):

\(y=-5x+b\)

To find the y-intercept, plug in the point (5,-2) and solve for b:

\(-2=-5(5)+b\\-2=-25+b\\-2+25=b\\23=b\)

Therefore, the y-intercept is 23. Plug this back into \(y=-5x+b\):

\(y=-5x+23\)

Our final equation is \(y=-5x+23\).

I hope this helps!

The total number of pedestrian deaths where the pedestrian was intoxicated or the driver was not intoxicated is 73 + 116 = 189.

The probability that the pedestrian was intoxicated or the driver was not intoxicated is prob = 19.1%.

The probability that the pedestrian was intoxicated or the driver was not intoxicated need to add the probabilities of two mutually exclusive events:

The pedestrian was intoxicated and the driver was not intoxicated.

The pedestrian was intoxicated and the driver may or may not have been intoxicated (i.e., the driver was either intoxicated or not intoxicated).

The first event corresponds to the cell in the table where the pedestrian was intoxicated and the driver was not intoxicated has a frequency of 73.

The second event corresponds to the sum of the frequencies in the cells where the pedestrian was intoxicated regardless of the driver's state of intoxication.

This is the sum of the frequencies in the cells (43, 73) is 116.

The total number of pedestrian deaths in the table is 990.

So, the probability that the pedestrian was intoxicated or the driver was not intoxicated is:

prob = 189/990 × 100% = 19.1%

The probability is 19.1%.

prob = 19.1

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Answer:

x = 4

Step-by-step explanation:

\(f(x)=3x-1\\g(x)=2x-3\)

substitute x = 2 into f(x):

\(f(2)=(3 \times2)-1=5\)

equate g(x) with found value for f(2) and solve for x:

\(g(x)=f(2)\\2x-3=5\\2x=8\\x=4\)

The orthogonal projection of vector v onto vector w in R^3 is (-54/14, -159/70, -159/35).

To find the orthogonal projection of v onto w, we need to calculate the scalar projection of v onto w and multiply it by the unit vector of w. The scalar projection of v onto w is given by the formula:

proj_w(v) = (v⋅w) / (w⋅w) * w

where ⋅ denotes the dot product.

Calculating the dot product of v and w:

v⋅w = (-7)(-5) + (6)(-3) + (-6)(-6) = 35 + (-18) + 36 = 53

Calculating the dot product of w with itself:

w⋅w = (-5)(-5) + (-3)(-3) + (-6)(-6) = 25 + 9 + 36 = 70

Now, substituting these values into the formula, we have:

proj_w(v) = (53/70) * (-5,-3,-6) = (-54/14, -159/70, -159/35)

Therefore, the orthogonal projection of v onto w is (-54/14, -159/70, -159/35).

In simpler terms, the orthogonal projection of v onto w can be thought of as the vector that represents the shadow of v when it is cast onto the line defined by w. It is calculated by finding the component of v that aligns with w and multiplying it by the direction of w. The resulting vector (-54/14, -159/70, -159/35) lies on the line defined by w and represents the closest point to v along that line.

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It will take approximately 28.67 years for Talwar's investment of R5,800 to grow to R26,100 at a simple interest rate of 12.2% per annum.

To calculate the number of years it will take for Talwar's investment to grow to R26,100 at a simple interest rate of 12.2% per annum, we can use the formula for simple interest:

Simple Interest = Principal × Rate × Time

Given that the principal (P) is R5,800, the rate (R) is 12.2% (or 0.122 as a decimal), and the desired amount (A) is R26,100, we need to find the time (T) it will take. Rearranging the formula, we get:

Time = (Amount - Principal) / (Principal × Rate)

Plugging in the values, we have:

Time = (R26,100 - R5,800) / (R5,800 × 0.122)

= R20,300 / R708.6

≈ 28.67 years

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x+-2*2-3x-7

x+4-3x-7

x+1.x-7

x.x-7

2x-7

The number of pounds of ground meat used is 2(13/80).

A fraction is written in the form of a numerator and a denominator where the denominator is greater that the numerator.

Example: 1/2, 1/3 is a fraction.

We have,

The number of pounds of ground meat bought = 2(9/16).

The number of pounds of ground meat left = 2/5.

Now,

The number of pounds of ground meat used.

= 2(9/16) - 2/5

= 41/16 - 2/5

= (205 - 32) / 80

= 173/80

= 2(13/80)

Thus,

2(13/80) pounds of ground meat were used.

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9514 1404 393

Answer:

   (s, t) = (2, 4)

Step-by-step explanation:

We can eliminate the t variable by subtracting the first equation from half the second.

  (1/2)(8s +8t) -(3s +4t) = (1/2)(48) -(22)

  s = 2

  3(2) +4t = 22

  4t = 16

  t = 4

The solution is (s, t) = (2, 4).

Step-by-step explanation:

Does this graph help?

Answer: i need points but i think its 4

Step-by-step explanation:

Answer:

Step-by-step explanation:

V = 3.9V

I = 0.12A

Ohm's Law, V = IR

Rearranging Ohm's Law, R = V/I

R = 3.9/0.12 = 32.5Ω

Answer:

a = 19

Explanation

First, note that the rate of change of a linear function is known as its slope.

Given the coordinates (x1, y1) and (x2, y2), the formula for calculating the slope is expressed as;

Using the coordinates (10, 27) and (11, a) where m = -8, substitute the values into the formula;

Add 27 to both sides as shown;

Hence the value of a is 19