Angle DEF is an inscribed angle on a circle, and m∠DEF = 52°. What is the measure of arc DF question mark

The diameter of the washing machine which is equivalent to the wavelength using the graph above would be = 2.5in.

To calculate the diameter of the washing machine drum, the formula that should be used is given below as follows;

V = fλ

where

V = displacement/time

F = 1/T

But;

Displacement = 10 in

Time = 2 seconds

V = 10/2 = 5 in/s

F = 1/2 = 0.5

λ = 5/0.5 = 2.5in

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The vertex of the graph is (0,-2); minimum value.

Given that;

The graph of the quadratic function.

Now, We need to determine the vertex of the graph and also determine whether it is a minimum or maximum value.

Vertex:

The vertex of the parabola is the point at which the parabola makes a turn to form a U - shaped graph.

Hence, from the figure, the parabola turns at the point (- 1, 1) to form a U - shaped graph.

Therefore, the vertex of the graph is (- 1, 1)

Minimum or maximum value:

When the parabola is open upwards, then the vertex is the lowest point on the graph which is the minimum value on the graph.

Thus, the graph has a minimum value.

Hence, the vertex of the graph is (0,-2); minimum value.

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Step-by-step explanation:

3^6  = 3 * 3^5

 = 3 * 243 =  729

y-(-9) = -6(x-(-4)), y = -6x-33

well, let's first find out how much is the bill plus tip.

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{\textit{\LARGE a}\% of \textit{\LARGE b}}\\ \cline{1-1} \\ \left( \cfrac{\textit{\LARGE a}}{100} \right)\cdot \textit{\LARGE b} \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{20\% of 100.50}}{\left( \cfrac{20}{100} \right)100.50}\implies 20.10~\hfill~\stackrel{ 100.50~~ + ~~20.10 }{\text{\LARGE 120.60}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{120.60}{\underset{\textit{divided by 2}}{2}}\implies \text{\LARGE 60.30} ~~ \textit{each person}[/tex]

Make sure your formatting is clear and easy to understand. Remember, it’s all about helping others understand the answer.

nation:

Answer:

59.3 °

Step-by-step explanation:

its trigonometry

so you have the

opposite side= 43.5

and the adjacent side = 24.8

if you use SOH CAH TOA you will find that to find y you need to use TOA as tou have the opposite and adjacent.

to find the angle (tan) you need to do tue opposite / adjacent

tan^-1 (43.5/25.8)

= 59.3 to 1 d.p.

you need to use tan^-1 as you are finding the missing angle

Answer:

2x-2

Step-by-step explanation:

ln(e2x/x³)

as ln ex = x

thus, ln(e2x/x³) = 2x / x³

= 2x1-3 = 2x-2

Answer:

x^5 / x = x^(5-1) = x^4

So the answer is x^4.

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

The formula of a cube is s*s*s

We know the side length of the first cube is 3, so the volume is 27. We know the side length of the second cube is 7, so the volume is 343.

The point D is called Incenter of ΔABC, because AD, BD and CD are the angle bisector.

Given is a triangle ABC and there are angle bisectors AD, BD and CD which are meeting at point D, we need to identify the name of the point D,

So,

The incenter of a triangle is the point where the three angle bisectors of the triangle intersect.

It is the center of the incircle, which is the largest circle that can be inscribed inside the triangle.

The incenter is equidistant from all three sides of the triangle.

Hence the point D is called Incenter of ΔABC, because AD, BD and CD are the angle bisector.

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It will take 20 weeks for Raymond and Beth's libraries to have the same number of books.

To determine the number of weeks it will take for Raymond and Beth's libraries to contain the same number of books, we need to set up an equation based on their book acquisition rates.

Let's assume the number of weeks it takes for their libraries to have the same number of books is 'x'. Raymond starts with 10 books and adds 2 books per week, so his total number of books after 'x' weeks is 10 + 2x. Similarly, Beth starts with 30 books and adds 1 book per week, resulting in a total of 30 + x books after 'x' weeks.

Since we want their libraries to contain the same number of books, we can set up the equation: 10 + 2x = 30 + x.

Simplifying the equation, we subtract 'x' from both sides: x = 30 - 10.

Therefore, x = 20.

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To the nearest tenth of a foot, the base of the pole is approximately 9.2 feet from the house, corresponding to option 9.2 feet.

To find the distance from the base of the pole to the house, we can use the trigonometric function sine (sin). Since we know the angle between the pole and the ground is 50 degrees, we can use the formula:

sin(∠) = opposite/hypotenuse

In this case, the opposite side is the distance we are trying to find (base of the pole from the house) and the hypotenuse is the length of the pole, which is given as 12 feet.

sin(50°) = opposite/12

We can rearrange the equation to solve for the opposite side:

opposite = 12 * sin(50°)Using a calculator to evaluate the sine of 50 degrees, we find:

opposite ≈ 9.162 feet

Among the given options, the measurement closest to the value of the opposite side is 9.2 feet. Option 9.2 feet is the closest value.

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The electric current to flow through the resistors and complete the circuit by reaching its intended destination or powering a device.

In the analogy of a circuit with resistance, we can compare it to an obstacle race. Here's how we can relate the different elements:

Circuit: The entire obstacle race course represents the circuit itself. It includes all the components and paths that the participants will go through.

Obstacles: The obstacles in the race represent the resistors in the circuit. Just like resistors impede the flow of electrical current in a circuit, obstacles in the race impede the progress of the participants.

People/Participants: The people participating in the race represent the flow of electric current in the circuit. They are the "charge" moving through the circuit, encountering and overcoming obstacles (resistors) to reach the finish line.

The goal of the participants (people) is to navigate through the obstacles (resistors) and complete the race (circuit) by reaching the finish line.

Similarly, in an electrical circuit, the goal is for the electric current to flow through the resistors and complete the circuit by reaching its intended destination or powering a device.

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The pair of factors to factor the expression are 7 and -3

From the question, we have the following parameters that can be used in our computation:

x² + 4x - 21

To determine the pair of factors to factor the expression, we find two expressions

using the above as a guide, we have the following:

The expressions are 7x and -3x

So, we have

x² + 4x - 21 = x² + 7x - 3x - 21

When factored, we have

x² + 4x - 21 = (x + 7)(x - 3)

Hence, the pair of factors to factor the expression are 7 and -3

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Answer:

  C.  no solution

Step-by-step explanation:

You want to know the solution to the system of equations ...

Equations are best examined for the possible number of solutions when they are written in the same form. Here, we can put both equations into slope-intercept (y=) form by multiplying the second equation by -1.

  -y = -x + 11 . . . . . . . .second equation

  y = x - 11 . . . . . . . . equivalent equation; multiplied by -1

Now, you see that these slope-intercept equations have the same slope (x-coefficient = 1), but different intercepts (11, -11).

Lines with the same slope and different intercepts are parallel lines. They never meet, so never have any points in common. There are no values of x and y that satisfy both equations at the same time.

There are no solutions.

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The values for P and a that will cause the function f(x) = Pa^x to be an exponential growth function are:

C. P = 4; a = 5

D. P = 1; a = 4

An exponential growth function is characterized by the property that the base (a) of the exponential term is greater than 1 (a > 1). This is because the exponentiation of a number greater than 1 by increasing values of x leads to exponential growth.

Therefore, the values for P and a that will cause the function f(x) = Pa^x to be an exponential growth function are:

C. P = 4; a = 5

D. P = 1; a = 4

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The number of members of the club that own both bike and surfboard are 11.

Venn diagram:-

A Venn diagram uses overlapping circles or other shapes to illustrate the logical relationships between two or more sets of items. Often, they serve to graphically organize things, highlighting how the items are similar and different.

In the Venn diagram, (23-y) is the number of members that have bike only,( 11-y) is the number of members that have surfboard only and y is the number of both surfboard and bike. 3 members have none of bike and surboard.

therefore

26-3= 23-y+y+11-y

23= 23+11-2y+y

23= 34-y

collect like terms

y= 34-23

y= 11

Therefore the number of members that have both bike and surfboard are 11.

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The exact solutions of the Quadratic equation x^2 - 3x - 5 = 0 are:

x = (3 + √29) / 2 ,x = (3 - √29) / 2. The correct answer choice is:

x = the quantity of 3 plus or minus the square root of 29 all over 2.

The exact solutions of the quadratic equation x^2 - 3x - 5 = 0 using the quadratic formula, we can identify the values of a, b, and c, and substitute them into the formula:

a = 1

b = -3

c = -5

Now, we can apply the quadratic formula:

x = (-b ± √(b^2 - 4ac)) / (2a)

Substituting the values into the formula:

x = (-(−3) ± √((−3)^2 - 4(1)(−5))) / (2(1))

x = (3 ± √(9 + 20)) / 2

x = (3 ± √29) / 2

Therefore, the exact solutions of the quadratic equation x^2 - 3x - 5 = 0 are:

x = (3 + √29) / 2

x = (3 - √29) / 2

The correct answer choice is:

x = the quantity of 3 plus or minus the square root of 29 all over 2.

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The initial Value of the function is 332.The rate of change of the function is -5%.

In the given function f(x) = 332(0.95)^t, where t represents time, we can determine the initial value and the rate of change as a percent.

1. Initial Value:

The initial value refers to the value of the function when the independent variable (t) is equal to zero. In this case, when t = 0, the function becomes:

f(0) = 332(0.95)^0

f(0) = 332(1)

f(0) = 332

Therefore, the initial value of the function is 332.

2. Rate of Change as a Percent:

The rate of change represents how the function changes over time. In this case, the function is an exponential decay function because the base (0.95) is less than 1.

To determine the rate of change as a percent, we can look at the exponent of the base (0.95). In the given function, the exponent is represented by the variable t. The base (0.95) is multiplied by itself t times.

The rate of change is calculated by subtracting 1 from the base and multiplying by 100% to express it as a percentage. In this case:

Rate of Change = (0.95 - 1) * 100%

Rate of Change = (-0.05) * 100%

Rate of Change = -5%

Therefore, the rate of change of the function is -5% (exponential decay).

- The initial value of the function is 332.

- The rate of change of the function is -5% (exponential decay).

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The speed of the spaceship is 62.8 meters per second.

We can define speed as the quotient between distance and time.

Remember that the length of an arc of an angle x, in a circle of radius R is:

L = (x/360°)*2*π*R²

Where π = 3.14

Here we know that the time is 5 seconds, and the distance is the lengt of an arc of 90° in a circle of 200 meters, the length of that arc is:

L = (90°/360°)*2*3.14*200m = 314 meters.

Then the speed of the spaceship is given by:

S = 314m/5s = 62.8 meters per second.

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The number of cards left to be signed is 32 cards.

To determine the number of cards left to be signed, we need to calculate the number of cards signed by each person and subtract it from the total number of cards.First, Emily signed 2/5 of the cards, which is equal to (2/5) * 75 = 30 cards.

Next, we need to find the number of cards remaining after Emily signed. To do this, we subtract the cards Emily signed from the total number of cards:

75 - 30 = 45 cards.

Now, Josh signs 1/9 of the remaining cards, which is equal to (1/9) * 45 = 5 cards.

After Josh signs his portion, we need to find the number of cards still remaining. We subtract the cards Josh signed from the previous remaining cards:

45 - 5 = 40 cards.

Finally, Tatiana signs 20% of what Josh had left, which is equal to 20/100 * 40 = 8 cards.

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Answer:

to compare -2.3 and -8/3, we need to put them in the same form. We can convert -8/3 to a decimal by dividing -8 by 3, which gives us -2.66667.

Now we can see that -2.3 is greater than -2.66667, so we can write -2.3 > -8/3.

Step-by-step explanation:

Don't worry I can help.

Mathmetics isn't easy. so study

The probability of rolling the number 3 or more when a die is thrown is 2/3.

The sample space of rolling dice = {1, 2, 3, 4, 5, 6}.

We know that, probability of an event = Number of favourable outcomes/Total number of outcomes.

Probability of getting the number 3 = 1/6

Probability of getting the number more than 3 = 3/6

So, probability of getting event = 1/6 + 3/ 6

= 4/6

= 2/3

Therefore, the probability of rolling the number 3 or more when a die is thrown is 2/3.

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Step-by-step explanation:

5x and 120 are equal because they are vertical angles of two crossing lines

5x = 120

x = 24

Answer: I'm sure its  A.=60 B=15 and C=i dont really know sorry

Step-by-step explanation:A - 6x10 B - 5x3 C - ?

PLEASE GIVE BRAINLIEST <33

Answers:

1: 245.04

A=2πrh+2πr2=2·π·3·10+2·π·32≈245.04423

2: 150.8

Formula: 2r² + 2rh

2 x 3 x 3 + 2 + 3 x 5 = 150.796447372

Rounded: 150.8

3: 892

Sides(Front & Back) #1: 17 x 4 x 2 = 136

Sides(Side) #2: 18 x 4 x 2 = 144

Bases(Bottom & Top): 17 x 18 x 2 = 612

39 * (1-15/100) = 39*0.85 = 33.15 (dollars)

Based on the given options, the closest choice to the value of the upper quartile is "O. 54 056."

To find the value of the upper quartile, we first need to arrange the given run times in ascending order:

40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59

Next, we calculate the position of the upper quartile. Since the upper quartile represents the 75th percentile, we divide the data into four equal parts. The upper quartile is located at the position (3/4) * (n + 1), where n is the total number of data points.

In this case, n = 20, so the position of the upper quartile is (3/4) * (20 + 1) = (3/4) * 21 = 15.75. Since the position is not an integer, we can take the average of the values at positions 15 and 16 to find the upper quartile.

The values at positions 15 and 16 are 55 and 56, respectively. Taking the average, we get (55 + 56) / 2 = 111 / 2 = 55.5.

Therefore, the value of the upper quartile is 55.5 seconds.

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