What percent of the even numbers from 2 to 50,
inclusive, have a units digit that is twice the tens digit?

Using the law of cosines, it is found that the measure of angle Y is of 64º.

The problem is incomplete, hence we research it on a search engine, and we have that we have a triangle in which:

The law of cosines states that we can find the side c of a triangle as follows:

c² = a² + b² - 2abcos(C)

In which:

For this problem, the parameters are given as follows:

a = 12, b = 17, c = 16, C = Y.

Hence:

c² = a² + b² - 2abcos(Y)

16² = 12² + 17² - 2(12)(17)cos(Y)

408cos(Y) = 177

cos(Y) = 177/408

Y = arccos(177/408)

Y = 64º.

The measure of angle Y is of 64º.

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Lauren was 13 miles away from the restaurant when Aidan reached it.

Travel refers to the act of moving from one place to another, often over a distance or by means of transportation.

Lauren and Aidan both left their offices at 6:15 P.M. and traveled for 20 minutes (from 6:15 P.M. to 6:35 P.M.) before Aidan arrived at the restaurant. During this time, Lauren traveled at a speed of 39 miles per hour, so she covered a distance of:

distance = speed x time

distance = 39 miles/hour x (20 minutes / 60 minutes/hour) = 13 miles

After 20 minutes, Aidan arrived at the restaurant, having traveled for 20 minutes at a speed of 42 miles per hour. The distance he covered during this time is:

distance = speed x time

distance = 42 miles/hour x (20 minutes / 60 minutes/hour) = 14 miles

Since they both traveled the same distance to the restaurant, but Aidan arrived there first, Lauren must have been 1 mile behind him when he arrived at the restaurant.

Therefore, Lauren was 14 - 1 = 13 miles away from the restaurant when Aidan reached it.

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The point is (17/13, 169/26).

We have the equation of the line as y = 5x + 1 and a point P(1,2). We are to find the point on the line that is closest to P(1,2).

We can solve the question by using the concept of the perpendicular distance of a point from a line.

The perpendicular distance of a point (x₁, y₁) from a line Ax + By + C = 0 is given by|Ax₁ + By₁ + C|/√(A² + B²).Now, the given equation is y = 5x + 1 which can be written as 5x - y + 1 = 0. Comparing it with the standard form Ax + By + C = 0, we get A = 5, B = -1, and C = 1.

Using the formula for the perpendicular distance of a point from a line, the perpendicular distance of point P(1,2) from line y = 5x - 1 is|5(1) - 1(2) + 1|/√(5² + (-1)²)= 3/√26So, the required point lies on the line y = 5x - 1 and is at a distance of 3/√26 from P(1,2).

Now, the slope of the line y = 5x - 1 is 5. Since the point on the line closest to P(1,2) is equidistant from the line and point P, the line joining them must be perpendicular to y = 5x - 1 and pass through P(1,2).

Hence, the equation of the line joining the required point and P is(y - 2) = -1/5(x - 1)⇒ y = (-x + 7)/5This line passes through P(1,2). Now, we need to find the point on the line y = 5x - 1 that lies on this line as well. Since both lines are perpendicular, the point of intersection of both lines will give us the required point. Let the required point be Q(x, y).

Since it lies on both the lines, we have the system of equations:5x - y + 1 = 0y = (-x + 7)/5Solving the above system of equations, we get the coordinates of Q: Q(34/26, 169/26)Thus, the point on the line y = 5x - 1 that is closest to P(1,2) is Q(17/13, 169/26).

Therefore, the point is (17/13, 169/26).

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Answer:

11 minutes. 1/4 of 44 is 11

The water in the aquarium tank will rise by 0.05 cm when the brick is placed in the bottom of the tank.

The volume of the brick is calculated as 40 cm x 20 cm x 10 cm = 8000 cm^3. Since the brick is submerged in the water, the amount of water displaced by the brick is equal to the volume of the brick. Therefore, the water level will rise by the same amount as the volume of the brick, which is \(8000 cm^3\).

To calculate the rise in water level, we need to divide the volume of the brick by the area of the rectangular base of the tank. The area of the rectangular base is calculated as 100 cm x 400 cm = \(40000 cm^2\). Dividing the volume of the brick (\(8000 cm^3\)) by the area of the rectangular base \(40000 cm^2\) gives us 0.2 cm. However, the brick is not placed at the bottom of the tank, but rather at a height of 40 cm. Therefore, we need to divide the calculated value by the height of the tank, which is 40 cm. This gives us a final result of 0.2 cm / 40 cm = 0.05 cm, which is the rise in water level when the brick is placed in the bottom of the tank.

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The area of the larger figure that is similar to the smaller one is: 28.2 m².

Where A and B represent the areas of two similar figures, and a and b are their corresponding side lengths, respectively, the formula that relates their areas and side lengths is:

Area of figure A / Area of figure B = a²/b².

Given that the two figures are similar as shown in the image above, find each of their respective side lengths if we are given the following:

Perimeter of smaller figure = 20 m

Area of smaller figure = 19.6 m²

Perimeter of larger figure = 34m

Area of larger figure = x

Therefore:

20/34 = a/b

Simplify:

10/17 = a/b.

Find the area (x) of the larger figure using the formula given above:

10²/12² = 19.6/x

100/144 = 19.6/x

100x = 2,822.4

x = 2,822.4/100

x ≈ 28.2 m²

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Answer:

2.9 per second

Step-by-step explanation:

\(\implies {\blue {\boxed {\boxed {\purple {\sf {A. \:11}}}}}}\)

\(\sf \bf {\boxed {\mathbb {STEP-BY-STEP\:\:EXPLANATION:}}}\)

\(2 \: ( \: x + 1 \: ) - 3\)

Plugging in the value "\(x\:=\:6\)" in the above expression, we have

\( = 2 \: ( \: 6 + 1 \: ) - 3\)

\( = 2 \: ( \: 7 \: ) - 3\)

\( = 14 - 3\)

\( = 11\)

\(\sf\red{PEMDAS\: rule.}\)

P = Parentheses

E = Exponents

M = Multiplication

D = Division

A = Addition

S = Subtraction

\(\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}\)

By conducting simple mathematical operations, we know that Joe eats 11/20 times more pizza than Jane.

A mathematical function known as an operation converts zero or more input values into a precisely defined output value.

The quantity of operands affects the operation's arity.

The order of operations is a rule that outlines the proper steps to take when analyzing a mathematical equation.

We can recall the PEMDAS steps in the following order: parentheses, exponents, multiplication, and division (from Left to right), addition, and subtraction (from left to right).

So, we know that:

Jow eats 4/5 of the pizza.

Jane eats 1/4 of the pizza.

Times Joe eats more pizza than Jane:

4/5 - 1/4

4(4) - 5(1)/20

16 - 5/20

11/20

Therefore, by conducting simple mathematical operations, we know that Joe eats 11/20 times more pizza than Jane.

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200 is the mean absolute deviation. Therefore, choice three (200) is the right one.

The absolute difference between the predicted and actual values must be determined, added together, and divided by the total number of periods.

Forecasted values are as follows: 1,500 and 1,400

Values in actuality: 1,200 and 1,500

Absolute differences:

|1,500 - 1,200| = 300

|1,400 - 1,500| = 100

Now, we calculate the MAD:

MAD = (300 + 100) / 2 = 400 / 2 = 200

Therefore, 200 is the mean absolute deviation. Therefore, choice three (200) is the right one.

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Answer:

15,813

Step-by-step explanation:

Shelly was 1km from her camp. Since her initial direction is in the North-West direction, hence the quadrant  bearing will be at the 3rd quadrant

If Shelly walks 2  kilometers N30°W from her camp and then walks 2  kilometers directly east, then the distance of Shelly from the starting point can be gotten using the trigonometry identity as shown:

Let x be the required distance, hence;

\(x = 2 sin \theta\\x = 2sin 30^0\\x = 2(0.5)\\x=1km\)

Hence Shelly was 1km from her camp. Since her initial direction is in the North-West direction, hence the quadrant  bearing will be at the 3rd quadrant

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There is only one solution for the equation 4z + 2(z -4) = 3z + 11 because the exponent for the power of z is 1.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

A solution is any value of a variable that makes the specified equation true.

According to the given information:

4z + 2(z-4)= 3z+11

Solve the equation,

4z+2z-8=3z+11

6z-3z=11+8

3z =19

z=

Hence,

Number of solution that can be found for the equation 4z + 2(z-4)= 3z+11 is option(2) one

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Answer:

\( \frac{m}{3} = 6 \\ m = 6 \times 3 \\ = 18\)

Answer:

m=18

Step-by-step explanation:

Multiply the 3 on both sides of the equation

Answer: 41666666669 / 50000000003

Step-by-step explanation:

Answer:

The solution is (-4, 12).

Step-by-step explanation:

3y = 20 − 4x

2y = 12 − 3x

Multiply the first equation  by 2 and the second by 3:

6y = 40 - 8x

6y = 36 - 9x

Subtracting:

0 = 4 -8x - (-9x)

0 = 4 + x

x = -4.

Now substitute x = -4 in the first equation:

3y = 20 - 4(-4)

3y = 20 + 16

3y = 36

y = 12.

\(\huge\begin{array}{ccc}y=-\dfrac{3}{2}x+3\end{array}\)

The "point-slope" form of the equation of a straight line:

POINTS:

\((x_1,\ y_1),\ (x_2,\ y_2)\)

EQUATION:

\(y-y_1=m(x-x_1)\)

where

SLOPE:

\(m=\dfrac{y_2-y_1}{x_2-x_1}\)

We have two points whose coordinates can be read from the graph:

\((0,\ 3),\ (2,\ 0)\)

Substitute:

\(m=\dfrac{0-3}{2-0}=\dfrac{-3}{2}=-\dfrac{3}{2}\\\\y-3=-\dfrac{3}{2}(x-0)\\\\y-3=-\dfrac{3}{2}x\)

add 3 to both sides

\(y-3+3=-\dfrac{3}{2}x+3}\\\\\boxed{y=-\dfrac{3}{2}x+3}\)

Answer:

36

Step-by-step explanation:

the steps are in the attached doc.

Answer:

36

Step-by-step explanation:

Hope it helps and I hope you have a wonderful rest of your day!!! :)

BRAINIEST is appreciated it would really help

Answer:

29

Step-by-step explanation:

ur in high school bro. Im in 7th grade. Get good bc is gonna get harder

Answer:

-1

Step-by-step explanation:

The P-values for a sample size of 12 and the following test statistics are as follows:

t0 = 2.55: P-value = 0.0220

t0 = 1.87: P-value = 0.1040

t0 = 2.05: P-value = 0.0450

t0 = 2.80: P-value = 0.0044

a. t0 = 2.55: P-value = 0.0220  

Since the hypothesis is one-tailed (μ>100), the P-value is calculated using the area to the right of the test statistic. The P-value for a test statistic of 2.55 with a sample size of 12 is 0.0220.

b. t0 = 1.87: P-value = 0.1040

Since the hypothesis is one-tailed (μ>100), the P-value is calculated using the area to the right of the test statistic. The P-value for a test statistic of 1.87 with a sample size of 12 is 0.1040.

c. t0 = 2.05: P-value = 0.0450

Since the hypothesis is one-tailed (μ>100), the P-value is calculated using the area to the right of the test statistic. The P-value for a test statistic of 2.05 with a sample size of 12 is 0.0450.

d. t0 = 2.80: P-value = 0.0044

Since the hypothesis is one-tailed (μ>100), the P-value is calculated using the area to the right of the test statistic. The P-value for a test statistic of 2.80 with a sample size of 12 is 0.0044.

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The given mathematical expression is evaluated for the input values (2, 4). The result of the expression is calculated using various operations such as addition, multiplication, square root, natural logarithm, minimum, maximum, and function composition.

The expression f(x1, x2) involves several mathematical operations. Let's evaluate each part of the expression step by step:

1. The first term is 421 + 222, which equals 643.

2. The second term is 3x² + 213. Plugging in x1 = 2 and x2 = 4, we get 3(2)² + 213 = 3(4) + 213 = 12 + 213 = 225.

3. The third term is 5x11². Substituting x1 = 2 and x2 = 4, we have 5(2)(11)² = 5(2)(121) = 1210.

4. The fourth term is (√₁+√₂)². Replacing x1 = 2 and x2 = 4, we obtain (√2 + √4)² = (1 + 2)² = 3² = 9.

5. The fifth term is 10ln(₁). Plugging in x1 = 2, we have 10ln(2) = 10 * 0.69314718 ≈ 6.9314718.

6. The sixth term is (x₁+x₂)(x² + x3). Substituting x1 = 2 and x2 = 4, we get (2 + 4)(2² + 4³) = 6(4 + 64) = 6(68) = 408.

7. The seventh term is min(3r1, 10√2). As we don't have the value of r1, we cannot determine the minimum between 3r1 and 10√2.

8. The eighth term is max{5x1,2r2}. Since we don't know the value of r2, we cannot find the maximum between 5x1 and 2r2.

9. Finally, we have MP1(x1, x2), MP2(X1, X2), and TRS(x1, x2), which are not defined or given.

Considering the given expression, the evaluated terms for the input values (2, 4) are as follows:

- 421 + 222 = 643

- 3x² + 213 = 225

- 5x11² = 1210

- (√₁+√₂)² = 9

- 10ln(₁) ≈ 6.9314718

- (x₁+x₂)(x² + x3) = 408

The terms involving min() and max() cannot be calculated without knowing the values of r1 and r2, respectively. Additionally, MP1(x1, x2), MP2(X1, X2), and TRS(x1, x2) are not defined.

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Since the tank has an initial volume we can initiate the equation like this

then since the pool is emptying, it means that the volume is decreasing

then the rate at which it is decreasing is 20 cubic feet per minute, meaning that the final equation should be

The slope of the line of image 1 is 2

The slope of the line of image 2 is 5/2

The slope of the line of image 3 is 2/5.

The same number is given for every two different points on the same line when the ratio is stated as a quotient ("rise over run"). On a falling line, there is a negative "rise." In a diagram that depicts a roof or a road as a description or a design, the line may be practical as established by a road surveyor.

The slope of the line of image 1 is:

The line is passing through the points (6, 10 and (2, 2)

So,

Slope=(y₂-y₁)/(x₂-x₁)

m=(2-10)/(2-6)

m=8/4

m=2

Therefore, the slope of the line for image 1 is 2.

Hence, option A is correct.

The slope of the line for image 2 is:

The line is passing through the points (3, 4) and (7, 14)

Slope=(y₂-y₁)/(x₂-x₁)

m=(14-4)/(7-3)

m=10/4

Therefore, the slope of the line for the image 2 is 5/2.

Hence, option F is correct.

The slope of the line for image 3 is:

The line is passing through the points (2, 1) and (7, 3)

Slope=(y₂-y₁)/(x₂-x₁)

m=(3-1)/(7-2)

m=2/5

Therefore, the slope of the line for the image 3 is 2/5

Therefore, option D is correct.

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The equation to determine the length and width of the rug is

28 = w² + 12w

Since, the shape of the rug is rectangle, therefore area of rectangle has been used to obtain the solution.

What is a rectangle?

Rectangle is a flat, two-dimensional shape, having four sides and vertices with opposite sides being equal and parallel. We may easily represent a rectangle in an XY plane by using its length and breadth as the arms of the x and y axes, respectively.

Rectangles can also be referred to as parallelograms because their opposite sides are equal and parallel.

We are given a rectangular rug with an area of 28 square feet.

Also, the rug is 12 feet longer than it is wide.

So,

Let 'l' be the length of the rug and 'w' be the width of the rug

As given, Length is 12 feet longer than its width

Therefore, l = w + 12

We know Area of rectangle = Length * Width and area is given to be 28 square feet.

So,

⇒28 = (w + 12)w

⇒28 = w² + 12w

Hence, the equation to determine the length and width of the rug is

28 = w² + 12w.

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Question: Tammy has a rectangular rug with an area of 28 square feet. The rug is 12 feet longer than it is wide.

Create an equation to determine the length and the width of the rug.

Answer:

1009.576

Step-by-step explanation:

Answer:

6.98 square units

Step-by-step explanation:

please see detailed attachments

Answer:

alternate interior angles

Step-by-step explanation:

We are looking at angles <3 and <6

which are on opposite sides of a transversal (line crossing through 2 parallel lines)

meaning that those 2 angles are congruent and are alternate interior angles are they are on the inside of this figure.

*Can we see the answer choices?  I'm not sure what they are, meaning I cannot fully help you*

Hope this helps a little! :)

Answer:

the answer is b

Step-by-step explanation:

Answer:

1/7

Step-by-step explanation:

Of all the shirts, 2/3 of the t-shirts are blue.

Of the blue shirts, 3/7 are on sale.  Of all the shirts, 2/7 are on sale and blue.

\(\frac{2}{3}*\frac{3}{7} =\frac{2}{7}\)

Of the blue shirts on sale, 1/2 are size medium.  Of all the shirts, 1/7 are on sale, blue, and size medium.

\(\frac{2}{7} *\frac{1}{2} =\frac{1}{7}\)