m∠ABC=​(8x−48​)°​, m∠ABD=44°

On solving the provided question, we can say that the answer is that the percentage of 300\%300%300, percent of 888 is 888.

A percentage in mathematics is a figure or ratio that is stated as a fraction of 100. The abbreviations "pct.," "pct," and "pc" are also occasionally used. It is frequently denoted using the percent symbol "%," though. The amount of percentages has no dimensions. With a denominator of 100, percentages are basically fractions. To show that a number is a percentage, place a percent symbol (%) next to it. For instance, if you correctly answer 75 out of 100 questions on a test (75/100), you receive a 75%. To compute percentages, divide the amount by the total and multiply the result by 100. The percentage is calculated using the formula (value/total) x 100%.

300\%300%300, percent of 888

300/300/100 X 100 X 888

= 888

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Answer: -3/20

Step-by-step explanation:

Convert all numbers to fractions:

(-4/5 + 3/4)/(1/3)

=(-1/20)/(1/3)

=-1/20 * 3

= -3/20

If the number formed by interchanging the digits is subtracted from the original number and when the result is 18. The original number is 72.

Let's call the original two-digit number "n". The first digit of "n" can be represented as "a" and the second digit as "b". According to the problem, the sum of the digits of "n" is 10, which means "a + b = 10". Also, if the number formed by interchanging the digits is subtracted from the original number, the result is 18, which can be expressed as "10a + b - (10b + a) = 18".

To find the original number, we can use algebra. Let x be the ten's digit and y be the unit's digit. Then, x + y = 10 and 10x + y - (y + x) = 18, which simplifies to 9x = 28 and x = 3. From x + y = 10, we find y = 7. The original number is therefore 72.

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The interpretation that the likelihood that the first question will be true is (a) Likely

Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

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

Probability value:-

The value of the probability and the notation are given as

P(true) = 0.8

As a general rule of probability, we have

Range of probability value = 0 to 1 (inclusive)

Unlikely = less than 0.5

Equally likely and unlikely = 0.5

Likely = greater than 0.5

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

The value of P(true) = 0.8 is greater than 0.5

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Will's Wrapping Company needs 5000 mm² of paper to wrap the chocolate bar

What is a cuboid?

A cuboid is a solid shape or a three-dimensional shape in geometry. A cuboid is a convex polyhedron that has eight vertices, twelve edges, and six rectangular faces. A rectangular prism is another name for a cuboid. A cube is an object with six square faces on a cuboid.

Total surface area of cuboid:

(SA)=2lw+2lh+2hw = 2(70)(30)+2(70)(4)+2(4)(30) = 5000 mm²

Thus, Will's Wrapping Company needs 5000 mm² of paper to wrap the chocolate bar

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The length of an object is the measurement of its longest side when measured from one end to the other.

6. 8 cm = 6.8 cm

7. 5 cm = 7.5 cm

14. 5 cm = 14.5 cm

17. 7 cm = 17.7 cm

The length of any object is the distance from one end to another. To calculate the length of an object, we must measure the distance between the two endpoints. To do this accurately, we need to use a ruler, tape measure, or other measuring device. To round the measurement to the nearest tenth, we need to look at the digit to the right of the decimal point. If the digit is 5 or higher, we round up, and if the digit is 4 or lower, we round down. For example, if the measurement was 6.8 cm, we would round it up to 6.9 cm. If the measurement was 7.5 cm, we would round it down to 7.4 cm. Similarly, 14.5 cm would round up to 14.6 cm and 17.7 cm would round down to 17.6 cm.

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The equation of a line whose y-intercept and slope are 6 and 8 respectively is y = 8x + 6.

In the given question, we have to find the equation of a line whose y-intercept and slope are 6 and 8 respectively.

A straight line's general equation is y = mx + c, where m denotes the line's slope and c its y-intercept. It is the geometry-related straight line equation that is employed the most frequently.

From the given question, the value of  m = 8 and c = 6.

Now putting the value of m and c in the general equation of line y = mx + c

y = 8x + 6

Hence, the equation of a line whose y-intercept and slope are 6 and 8 respectively is y = 8x + 6.

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The value of x is 59°.

Angles are the figure formed by the intersection of two lines or rays by sharing a common point. This point is called the vertex of the angle.

Angles are usually measured in degrees or radians.

Given is a figure formed by three lines.

There is a triangle formed with one of the angle is x°, which has to be found.

The angles 108° and one of the interior angle of the triangle is supplementary.

One of the angles of the triangle = 180 - 108 = 72°

The third angle of the triangle is a vertically opposite angle of the pair 49° of the two lines.

Vertically opposite angles are formed by the intersection of two lines.

Third angle = 49°

Sum of the interior angles of triangle = 180°

x + 72 + 49 = 180

x = 180 - (72 + 49)

x = 59°

Hence the degree of angle of x is 59°.

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You're basically trying to get here is the limit as x approaches negative infinity, of (5ˣ -1)/(x¹⁰ -1).

What you're basically trying to get here is the limit as x approaches negative infinity, of (5ˣ -1)/(x¹⁰ -1).

Let's look at the numerator and denominator of this function separately. First, in the numerator, as x goes toward -infinity, the value of 5ˣ gets closer and closer to 0 with ever increasing negative powers. You then subtract 1 from that, so the entire numerator will tend closer and closer to -1 with decreasing x.

Step2:

Then, in the denominator, recall that any number, negative or positive, to an even power will be positive. As x goes lower and lower, x¹⁰ will go higher and higher, to the point where subtracting 1 from it will have no effect. In other words, the denominator will tend closer and closer to infinity.

In the end, you basically have a real number being divided by ever larger and larger numbers, making it approach zero. So the final answer is, y will approach zero as x approaches -infinity.

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A stock’s value closed at $24.80 on the 12th and the same stock closed at 21.35 on the 13th,  13.91% was the change as a percent.

Finding the difference between two values in a time series, dividing that difference by the initial value, and multiplying by 100 are used to get the percentage change between the two values. The value change of a stock or significant stock index over time is frequently tracked in finance using percentage change. It is also employed to evaluate the worth of various currencies.

The calculation for percentage change is 100 divided by (New Price - Old Price). If the stock price has increased, the percentage change will be positive; if the stock price has decreased, it will be negative.

Given that,

A stock’s value closed at $24.80 on the 12th

the same stock closed at 21.35 on the 13th

the change as a percent = [(24.80 - 21.35) / 24.80] × 100

the change as a percent = [3.45 / 24.80] × 100

the change as a percent = 0.13911 × 100

the change as a percent = 13.91%

Thus, net percentage change is 13.91%

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given: grid 1: rectangle, squares, triangles

grid 2: triangle, square

to find: area of shapes

final answer: 36 in sq

The quantity of space contained within a shape is known as area. A surface's or shape's area can be useful in everyday life. Multiply a rectangle's height by its width to determine its area. Because each side is the same length, all you need to do to find the area of a square is multiply the length of one of the sides by itself.

grid 1:

area of rectangle = length* height

= 1*4 = 4 in sq

area of square = side* side

= 3*3 = 9 in sq

area of square =  side* side

=1*1 = 1 in sq

area of 2 triangles =  2* 1/2(base* height)

= 2* 1/2(1* 1) = 1 in sq

total area in grid 1 = 15 in sq

grid 2:

area of square =  side* side

=3*3 = 9 in sq

area of triangle =  2* 1/2(base* height)

= 2* 1/2(4* 3) = 12 in sq

total area in grid 1 = 21 in sq

therefore, the total area is 21 + 15 = 36 in sq

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Using the distributive law on  5(3x + 1 + 2)

she would get:                      5(3x) + 5(1) + 5(2)

Can you get this next step?                                Don't do anything but these multiplications!

Use the distributive law on each of these:

16(x + y)  =  16(x) + 16(y)  =                                <--- can you make this look a little simpler?

4(x + 3y)  =  4(x) + 4(3y)  =                                  <--- can you make this look a little simpler?

2(2x + 6y)  =  2(2x) + 2(6y)  =                               <--- can you make this look a little simpler?

(2x + 6y) + (2x + 6y)  

  =  2x + 6y + 2x + 6y

  =  2x + 2x + 6y + 6y                                  <--- can you make this look

   = 4x +12y

    =  4(x+ 3y)

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Answer:

Step-by-step explanation: ( 3, 1)

x = 3, y = 1

From the formula, y = x² + kx - 4

1 = 3² + 3k - 4

1 = 9 + 3k - 4

1 = 5 + 3k

-3k = 5 + 1

-3k = 6

Divide both sides by -3

-3k/-3 =  6/ -3

k = -2

The likelihood of randomly selecting a chocolate chip cookie is C. equally likely and unlikely.

Probability simply means the chance that a particular thing or event will happen. It is the occurence of likely events. It is simply the area of mathematics that deals with the numerical estimates of the chance that an event will occur or that a particular statement is true.

From the information, the baker made a batch of chocolate chip, oatmeal raisin, and sugar cookies. If P(chocolate chip) = 50%.

The likelihood of randomly selecting a chocolate chip cookie from the batch is 0.5. This implies that it is equally likely and unlikely.

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Answer: Its C

Step-by-step explanation:

A. Georgia did not get a head start in the race as the y-intercept is 4

B. The y-intercept of the equation y = 3x + 4 is the point where the line crosses the y-axis. In this equation, the y-intercept is 4. This means that when x = 0 (at the start of the race), y = 4.

This is the point where Georgia started the race, and since x=0, the distance is 4 and she did not get any head start. Therefore, the y-intercept is not a head start.

The y-intercept value in the equation is the constant term (4) which is always added to the equation regardless of the value of x.

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Answer:

y=2

Step-by-step explanation:

The correct answer is C.1 raised to the power of 14 is equal to 1.so the  the simplified form of 1¹4 is 1.

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Answer:

the 24th day they'll be there

Step-by-step explanation:

4 8 12 16 20 24

6 12 18 24

The values of x and y are in option B. x = 10, y = 2

When two given equations are to be solve concurrently, then the equations are said to be simultaneous equations.

Thus to solve the given question, we have;

x + y = 12 ........... 1

x - 2y = 6 .......... 2

multiply equation 1 by 2, and equation 2 by 1 to have;

2x + 2y = 24 ........ 3

x - 2y = 6 ......... 4

Add equations 3 and 4,

3x = 30

x = 30/ 3

x = 10

Substitute the value of x in equation 1,

x + y = 12

10 + y = 12

y = 12 - 10

y = 2

Therefore, the values of x = 10 and y = 2. Option B.

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The volume of triangular pyramid is 26.4 cubic meters.

What is triangular pyramid?

A pyramid with a triangle base is referred to as a triangular pyramid. Vertices are essentially corners in geometry. Both regular and irregular triangular-based pyramids contain four vertices.

Pyramids with triangular bases have six edges, three of which run along the base and three of which rise above the base. The pyramid is referred to as a regular tetrahedron if all six edges are the same length and all the triangles are equilateral.

Volume of a triangular pyramid is given by:

V = ⅓* Base Area* Height

Base Area= Area of triangle

Area of triangle= Height*base*1/2

= 1/2*8*3

= 12 square meters

Height = 6.6m

V= 1/3*12*6.6

= 26.4 cubic meters

Hence, the volume of triangular pyramid is 26.4 cubic meters.

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The distance traveled by car in one hour will be 56 miles.

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that a car goes 42 miles in 45 minutes (3/4 of an hour). the distance traveled by car in one hour will be calculated as,

45 minutes = 42 miles

1 minute = 42 / 45 miles

60 minutes = ( 42 / 45 ) x 60

60 minutes = 56 miles

Hence, the distance will be 56 miles.

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Concurrent line segments are those that cross at least three other line segments at the same location.

Concurrent line segments are those that cross at least three other line segments at the same location. In geometry, if two lines intersect at a single point in a plane or higher-dimensional space, they are said to be concurrent. In contrast to parallel lines, they exist. Concurrent lines are those that cross more than one line at the same time through a single point in a plane. The point of concurrency is a location that each of those lines shares. Triangles provide another example where this concurrency characteristic can be observed.

Here,

Concurrent line segments are those where three or more line segments cross each other at the same location.

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Investment B would have the greatest amount.

When we look at the compound interest, we know that the compound interest is compound not only on the principal but also on the interest that accrues to the investment.

We know that in the first case;

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

A = amount

P = Principal

r = rate

n = Number of times compounded

t = time

Then;

A = 3000(1 + 0.08/2)^2 *7

= $5195

Again;

A = 5000(1 + 0.036/3)^3 * 4

A = $5769

The investment that would give a larger result is investment B.

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Bank E must pay the FDIC a fee of $115,200 to insure $4.8 million in deposits, which is calculated by multiplying the rate of 2.4 cents per $100 with the total amount of deposits.

1. Take the total amount of deposits and divide by

100 (4.8 million / 100 = 48,000)

2. Multiply by the rate of 2.4 cents

(48,000 x 0.024 = 1,152)

3. Multiply the result by 100

(1,152 x 100 = 115,200)

4. The amount Bank E must pay to the FDIC is $115,200.

Bank E must pay the FDIC a fee to insure its $4.8 million in deposits. In order to calculate the fee, you must first divide the total amount of deposits by 100 to get the number of $100 increments. You then need to multiply this number by the rate of 2.4 cents, which will give you the total fee in cents. Finally, you need to multiply the total fee in cents by 100 to get the total fee in dollars. In this case, the amount Bank E must pay to the FDIC is $115,200.

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Answer:

a) 3x^2-8x+14

b)x^2-8x-4

c)2x^4-8x+45

Step-by-step explanation:

Answer:

Step-by-step explanation:

b

A segment whose endpoints are on a circle is called a chord of the circle.

A segment whose endpoints are on a circle is called a chord of the circle. A chord is a straight line that connects two points on the circumference of a circle. The two points on the circumference are called the endpoints of the chord. The distance between the two endpoints of the chord is called the length of the chord. The midpoint of the chord is the center of the circle.

The chord of a circle can be defined as the line segment joining any two points on the circumference of the circle. It should be noted that the diameter is the longest chord of a circle which passes through the center of the circle.

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There are infinite linear equations that will have solutions x = 1 and y =3.

A linear equation is an equation that contains a variable raised to the first power. This equation is said to be linear because this mathematical relationship can be drawn as a straight line in the Cartesian coordinate system.

Based on the number of variables, this equation can be divided into three types:

From the question, we obtain that the solutions are x = 1 and y = 3. Then we draw the solution on a graph.

By observing the graph, we can see that there are so many (infinite) straight lines (yellow lines) that can pass through the point (2,3).

Thus we can conclude that there are infinite linear equations that will have solutions x = 1 and y =3.

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Answer: To calculate how much John received in royalty payments for the quarter, we need to know the total sales of his book and the royalty rate. In this case, 18,000 copies of John's book were sold and the royalty rate is 13%.

We can calculate the total sales by multiplying the number of books sold by the price of each book:

Total Sales = 18,000 x $19.95

Total Sales = $359,100

To calculate the royalty payment, we need to multiply the total sales by the royalty rate:

Royalty Payment = Total Sales x (Royalty Rate / 100)

Royalty Payment = $359,100 x (13 / 100)

Royalty Payment = $46,547

So, John received $46,547 in royalty payments for the quarter.

Step-by-step explanation:

Answer:

Step-by-step explanation: