Please help me figure this out! Im working on a quiz, please simplify

Answer:

There are 121 tens in the figures.

Step-by-step explanation:

9- No tens

95- 9 tens

26- 2 tens

100- 10 tens

1000- 100 tens

If you add the number of tens up, you will get 121.

Answer:

One slice of a 14 inch pizza would have an estimated 327.5 calories.

Step-by-step explanation:

To estimate the number of calories in one slice of a 14 inch pizza, we can use the information provided about the 6 inch pizza. We know that the 6 inch pizza has 580 calories, with 240 of those from fat. Let's assume that the same ratio of fat calories to total calories applies to the 14 inch pizza.

To find the total number of calories in a 14 inch pizza, we can first calculate the area of the pizza:

radius = diameter / 2 = 14 / 2 = 7 inches

area = pi x radius^2 = 3.14 x 7^2 = 153.86 square inches

Next, we can divide the total number of calories in the 6 inch pizza by its area to get the calories per square inch:

580 calories / (3.14 x 3^2) = 20.68 calories/sq. in.

Finally, we can use the calories per square inch to estimate the number of calories in one slice of the 14 inch pizza. Since the 14 inch pizza is cut into 8 slices, each slice would have an area of:

area per slice = 153.86 sq. in. / 8 = 19.23 sq. in.

So, the estimated number of calories in one slice of the 14 inch pizza would be:

19.23 sq. in. x 20.68 calories/sq. in. = 397.5 calories

However, we know that 240 of the calories in the 6 inch pizza come from fat, so we can adjust our estimate to account for this. Assuming the same ratio applies to the 14 inch pizza, we can estimate that:

240/580 = 0.41 or 41% of the calories in the 6 inch pizza come from fat.

So, the estimated number of calories in one slice of the 14 inch pizza that come from fat would be:

0.41 x 327.5 calories = 134 calories

Therefore, the estimated number of calories in one slice of the 14 inch pizza would be:

327.5 calories - 134 calories = 193.5 calories (rounded to 327.5/8 = 40.94 or 41 calories).

Answer:

Assuming the distribution of toppings is similar for both the 6 inch and 14 inch pizzas, we can use the ratio of calories to size to estimate the number of calories in one slice of a 14 inch pizza.

First, we need to find the total number of calories in the 14 inch pizza. Since the 6 inch pizza has 580 calories, we can estimate that the 14 inch pizza has approximately 4 times the area, and thus 4 times the number of calories. Therefore, the 14 inch pizza has approximately 2320 calories (580 x 4).

Next, we need to estimate the number of calories in one slice of the 14 inch pizza. Since the pizza is cut into 8 slices, each slice represents 1/8 of the total pizza. Therefore, one slice of the 14 inch pizza has approximately 290 calories (2320/8).

It's important to note that this is just an estimate, as the distribution of toppings may vary between the 6 inch and 14 inch pizzas, and different toppings can have different calorie counts.

Step-by-step explanation:

The tension in cable B is 400 N.

What is tension in cable ?

Tension is the force transmitted through a string, rope, cable, or wire when it is pulled taut by forces acting from opposite ends. It is the pulling force that exists between two objects that are connected by a rope or cable and is usually measured in newtons (N) or pounds (lbs). The tension in a cable or rope can be calculated using the principles of equilibrium, where the sum of the forces acting on the object is equal to zero. In other words, the tension in a cable is the force that must be applied to the cable in order to keep it taut and maintain its position or prevent it from breaking.

According to the question:
To solve this problem, we need to use the fact that the sum of the forces acting on the sign must be zero in order for the sign to be in equilibrium. We can break down the weight of the sign into its components parallel and perpendicular to the cables:

F_parallel = 800 N * sin(30°) = 400 N

F_perpendicular = 800 N * cos(30°) = 693.2 N

The tension in cable A must balance the perpendicular component of the weight of the sign, so we have:

Tension_A = 693.2 N

The tension in cable B must balance the horizontal component of the weight of the sign, so we have:

Tension_B = 400 N

Therefore, the tension in cable B is 400 N.

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Then  it would take 116/0.8286 = 140.10 minutes (rounded to two decimal places) or approximately 2 hours and 20 minutes to produce 116 cups of coffee using both machines continuously.

To calculate the time it would take to produce 116 cups of coffee using both machines continuously, we need to first determine how many cups of coffee each machine produces per minute.

For the first machine, it produces 2 cups in 5 minutes, which means it produces 2/5 = 0.4 cups of coffee per minute.

For the second machine, it produces 3 cups in 7 minutes, which means it produces 3/7 = 0.4286 cups of coffee per minute (rounded to four decimal places).

To find out how long it would take to produce 116 cups of coffee using both machines, we need to divide the total number of cups by the combined rate of production.

Combined rate of production = rate of first machine + rate of second machine
= 0.4 + 0.4286
= 0.8286 cups per minute (rounded to four decimal places)

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Answer: See image

Step-by-step explanation:

The bases are 5cm times 3cm, meaning that 2 parallel sides have to be 5cm by 3cm, 2 other parallel sides have to 2cm by 3cm, and the 2 other parallel sides have to be 5cm by 2cm.

Therefore after rewrite the expression we get 1/33 = 27.

Define negative exponent?

A negative exponent in mathematics means that the exponent's base needs to be divided by one or more. For instance, the equivalent of the mathematical expression 3-2 is:

1 / (3²) = 1/9

We can use the rule: to rewrite 1/3-3 without an exponent.

a⁻ⁿ = 1/aⁿ

where n is a positive integer and an is a non-zero number.

The reciprocal of the base raised to a positive exponent can also be used to write negative exponents. For instance:

3⁻ = (1/3²) = 1/9

In scientific notation, where numbers are written as powers of 10, negative exponents are frequently utilized

When we change this rule's 3-3 to:

3⁻³ = 1/3³

As a result, 1/3-3 can now be written as:

1/3⁻³ = 1/(1/3³)

= 1/(1/27)

= 27

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Answer:

x=10

Step-by-step explanation:

or,-x+1+9

or,0= -x+10

or,x=10

Answer:

x=27°

Step-by-step explanation:

angles in a triangle all add to 180°

the square in the triangle represents 90° angle

180-90-63=27°

x=27°

Answer:

[tex] { - 2x}^{4} - {x}^{3} - 3 {x}^{2} + x + 5[/tex]

Step-by-step explanation:

[tex] - 2(x - 1) \times ({1 + x})^{3} + 3(1 + x) \times ( {1 - x})^{2} = ( - 2x + 2) \times (1 + 3x + 3 {x}^{2} + {x}^{3} ) + (3 + 3x) \times (1 - 2x + {x}^{2} ) = ( - 2x - 6 {x}^{2} - 6 {x}^{3} - 2 {x}^{4} + 2 + 6x + 6 {x}^{2} + 2 {x}^{3} ) + (3 - 6x + 3 {x}^{2} + 3x - 6 {x}^{2} + 3 {x}^{3} ) = x - {x}^{3} - 2 {x}^{4} + 2 + 3 + 3 {x}^{2} - 6 {x}^{2} = x - {x}^{3} - 2 {x}^{4} + 5 - 3 {x}^{2} = - 2 {x}^{4} - {x}^{3} - 3 {x}^{2} + x + 5[/tex]

Answer: $22 per shirt and $14 per sweater

Step-by-step explanation:

     Let x be shirts and y be sweaters.

     We will write equations for the given situation.

5x + 8y = $222

6x + 5y = $202

     Next, we will graph both of these equations. The point of intersection will give the prices of one shirt and one sweater.

(22, 14)

➜ $22 per shirt

➜ $14 per sweater

The coordinates of Checkpoint B as we move from checkpoint A to the west are (-9, 5).

The Cartesian coordinate system, often called the rectangular coordinate system, uses ordered pairs of integers to represent points in a plane. It was created in the 17th century and is named after the mathematician René Descartes. The x-axis, which is horizontal, and the y-axis, which is vertical, split the plane into two perpendicular axes in the Cartesian coordinate system.

First, Hurdle 1 is 4 units west of Checkpoint A, so its x-coordinate is:

0 - 4 = -4

Hurdle 2 is 3 units west of Hurdle 1, so its x-coordinate is:

-4 - 3 = -7

Checkpoint B is 2 units west of Hurdle 2, so its x-coordinate is:

-7 - 2 = -9

The y-coordinate for all remain the same.

Hence, the coordinates of Checkpoint B as we move from checkpoint A to the west are (-9, 5).

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Answer:

Step-by-step explanation:

divide the perimeter by two and you will find the value of n + 15 2/4 (base + height), then find n with an equation

73 : 2 = 36.5

36.5 = n + 15 2/4

36.5 - 15 = n + 2/4

36.5 - 15 - 2/4 = n

21 = n

_________________

check

2 × (21 + 15 2/4) =

2 × 36.5 =

73

Answer:

[tex]h(0) = -16(0)^2 + 128[/tex]

[tex]= 128[/tex]

Therefore, the rocket goes to a maximum height of 128 feet.

4. The axis of symmetry of the parabolic path of the rocket is the vertical line that passes through the vertex of the parabola. Since the coefficient of [tex]t^2[/tex] is negative, the parabola opens downwards, and the vertex represents the maximum point of the path. As we found in question 2, the time at which the maximum height occurs is t = 0, so the axis of symmetry is the vertical line passing through t = 0.

5. To find when the rocket hits the ground, we need to find the time t at which h(t) = 0. Substituting [tex]h(t) = -16t^2 + 128[/tex], we get:

[tex]-16t^2 + 128 = 0[/tex]

Solving for t using the quadratic formula, we get:

t = (0 ± √(0^2 - 4(-16)(128))) / (2(-16))

= (±√8192) / (-32)

= ±8

Since time cannot be negative, the rocket hits the ground after approximately 8 seconds.

6. To find how high the rocket is at t = 2 seconds, we can substitute t = 2 into the equation h(t) = -16t^2 + 128:

h(2) = -16(2)^2 + 128

= -64 + 128

= 64 feet

Therefore, the rocket is at a height of 64 feet at 2 seconds.

7. To find when the rocket is at a height of 252 feet, we need to solve the equation [tex]-16t^2 + 128 = 252[/tex]. Rearranging and solving for t, we get:

[tex]-16t^2 + 128 = 252[/tex]

[tex]-16t^2 = 124[/tex]

[tex]t^2 = -124/-16[/tex]

t^2 = 7.75

t ≈ ±2.78 seconds

Since time cannot be negative, the rocket is at a height of 252 feet after approximately 2.78 seconds.

8. The graph coordinates of the rocket's path can be plotted using the function [tex]h(t) = -16t^2 + 128[/tex]. The x-axis represents time t in seconds and the y-axis represents the height of the rocket in feet. We can plot points on the graph by substituting different values of t into the equation and plotting the resulting height. For example, some common points to plot include the vertex at (0, 128), the point where the rocket hits the ground at approximately (8, 0), and the point where the rocket is at a height of 252 feet at approximately (2.78, 252). We can also plot other points by substituting different values of t into the equation and plotting the resulting height.

There are no equations in the form  [tex]a * b^{x}[/tex] that contains m = 3 and b=1  points.

The slope-intercept form can be used to determine the equation of a line that goes through two specific points:

y = mx + b

where m denotes the slope and b is its y-intercept.

It is possible to determine the slope of the line using the coordinates (0, 1) and (1, 4).

[tex]= \frac{y2 - y1}{x2 - x1} =\frac{4 - 1 }{1-0} \\= \frac{3}{1} \\= 3[/tex]

As a result, the line's equation can be expressed as:

y = 3x + b

We can use either location to determine b:

1 = 3(0) + b

b = 1

The line's solution is as follows:

y = 3x + 1

The following assertions can be evaluated using this equation:

1) These values can be found in only one equation with the form y = mx + b.

False. The formula y = 3x + 1 is expressed as y = mx + b rather than y = max + b.

2) These points are included in two equations of the type y = m + b.

False. These points are only present in one equation of the type y = mx + b.

3) These points do not appear in any equations of the type y = [tex]a * b^{x}[/tex].

True. The coordinates (0, 1) and cannot be passed through by any equations in this form. (1, 4).

4) These points are contained in precisely one equation with the form y = [tex]a * b^{x}[/tex].

False. For a line in two variables, the equation form y - a - b° is invalid.

5) These points can be found in multiple equations with the shape y = [tex]a * b^{x}[/tex].

False. For a line in two variables, the equation form y = [tex]a - b^{x}[/tex] is invalid.

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You do not use lines to connect the dots.

Answer: The surface area of the rectangular prism is 140 and 3/16 square centimeters.

Answer:

7,3

Step-by-step explanation:

its 7,3

Answer:

(x²-4²)

(X+4) (x-4)

..

.

thanks

In the function k(x) = 3(2^(-8x)), the domain is all real numbers (-∞, +∞) and the range is all positive real numbers (0, +∞).

Hi! I'd be happy to help you find the domain and range of the function k(x) = 3(2^(-8x)). The domain of a function is the set of all possible input values (x-values) for which the function is defined, while the range is the set of all possible output values (y-values) that the function can produce.

For k(x) = 3(2^(-8x)), the function is an exponential function, and exponential functions are defined for all real numbers. This means that you can input any real number value for x, and the function will produce a valid output. Therefore, the domain of k(x) is all real numbers, which can be represented as (-∞, +∞) or R.

To find the range, we need to consider the behavior of the exponential function as x increases and decreases. As x goes to negative infinity, 2^(-8x) approaches infinity, and thus 3(2^(-8x)) also approaches infinity. As x goes to positive infinity, 2^(-8x) approaches 0, but since we are multiplying by 3, the minimum value of k(x) is 0. However, the function never actually reaches 0, so the range is all positive real numbers, which can be represented as (0, +∞).

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Answer: the radius of the circle is 14 cm. :)

Step-by-step explanation:

To find,

The radius of the circle.

Solution,

The radius of the circle will be 14 cm.

We can easily solve this problem by following the given steps.

According to the question,

Length of a rectangular wire = 32 cm

The breadth of a rectangular wire = 12 cm

This wire is bent into the shape of a circle.

So,

The perimeter of the rectangle = Circumference of the circle

We know the formula for the perimeter of a rectangle is as follows:

P = 2(Length+Breadth)

P = 2(32+12) cm

P = 2(44) cm

P = 88 cm

We know that the formula to find the circumference of the circle is given as follows:

C =

2πr = 88 cm

2×22r/7 = 88

44r/7 = 88

Using the cross multiplication method,

44r = (88×7)

r = (88×7)/44

r = (2×7) cm

r = 14 cm

Hence, the radius of the circle is 14 cm.

Answer:

14.01 cm

Step-by-step explanation:

The length of the wire is equal to the perimeter of the rectangle. So, the length of the wire is:

When this wire is bent into a circle, its length becomes equal to the circumference of the circle. The formula for the circumference of a circle is:

(let r = radius)

2 × π × r

So, we can write:

Solving for r, we get:

So, the exact value of the radius of the circle formed by bending this rectangular wire is 14.01 cm.

To find A, we need to take the derivative of the given function:

ddx[−−17.6sin(34.4−5.2x)] = −5.2*17.6cos(34.4−5.2x)

= −91.52cos(34.4−5.2x)

Comparing with the given function:

AcosB = −91.52cos(34.4−5.2x)

Therefore, A = |-91.52| = 91.52

Hence, A is 91.52.

In linear equation, -(x - 1) ( 5x² +  3) is the solution of equation.

What in mathematics is a linear equation?

An algebraic equation with simply a constant and a first-order (linear) term, such as y=mx+b, where m is the slope and b is the y-intercept, is known as a linear equation.

                          Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.

4) 2x⁵+4x³-6x²-12 ⇒  2(x² + 2) (x³ - 3)

5) 3x⁷ - 8x⁶-9x⁵+24x⁴   ⇒ x⁴(3x - 8) (x² - 3)

6)  -5x³ + 10x²- 3x + 6   ⇒  -(x - 1) ( 5x² +  3)

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The value of the numeric expression 1/3+1/4➗2/4 is given as follows:

5/6.

The numeric expression in the context of this problem is defined as follows:

1/3+1/4➗2/4.

The division operation takes precedence over the addition operation, hence:

(1/4)/(2/4) = 1/2 -> as we can simplify the denominator of 4 for both the factors, leaving with a quotient of 1/2.

Then the expression is given as follows:

1/3 + 1/2.

The least common factor of 2 and 3 is of six, hence the result of the sum is given as follows:

1/3 + 1/2 = (2 + 3)/6 = 5/6.

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The x-intercept of the equation is (16, 0), which means that after 16 hours of driving, Xavier will have used up all the gas in his tank.

To find the x-intercept of the equation G = 12 - 0.75t, we need to set G = 0 and solve for t:

0 = 12 - 0.75t

0.75t = 12

t = 16

As a result, the equation's x-intercept is (16, 0), indicating that Xavier will run out of gas after 16 hours of driving.

The x-intercept in the problem denotes the moment at which Xavier runs out of gas and his car comes to a complete stop. This is a crucial factor to take into account when organising a lengthy road trip because it shows how long Xavier can travel before needing to refuel. If the fuel efficiency of Xavier's vehicle is assumed to be constant, the x-intercept can also be used to determine how far he can go on a single tank of gas. So, for Xavier to plan his road trip and make sure that he doesn't run out of gas, it's imperative that he comprehend the x-intercept of the equation G = 12 - 0.75t.

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The circumference of the circle is 65. 94 cm

The formula for calculating the circumference of a circle is expressed with the equation;

C = 2πr

Given that the parameters are;

Note that the radius of a circle is twice the diameter of that circle.

Then, we have;

Radius = diameter/2

Substitute the values

Radius = 21/2 = 10. 5 cm

Then, the circumference

C = 2 ×3.14 × 10. 5

Multiply the values

C = 65. 94 cm

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There are 90 distinct arrangements of the letters in SPINNING.

In mathematics, permutation refers to the arrangement of objects in a specific order. A permutation of a set of objects is an ordered arrangement of those objects. For example, if we have a set of three objects {A, B, C}, then the permutations of this set would be {ABC, ACB, BAC, BCA, CAB, CBA}. The number of permutations of a set of n objects is denoted by n!. Permutations are commonly used in combinatorics, probability theory, and other areas of mathematics and science.

In the given question,

The word SPINNING has 8 letters, out of which two letters appear twice.

Let's first consider the distinct arrangements of the 6 unique letters (ignoring the repeated letters).

There are 6! ways to arrange these 6 letters in a row.

However, we need to adjust for the repeated letters. The letter "N" appears twice, so we divide by 2! to account for the fact that the two N's can be arranged in 2! = 2 ways without changing the arrangement of the other letters. Similarly, the letter "I" also appears twice, so we divide by another 2!.

Therefore, the total number of distinct arrangements of the letters in SPINNING is:

6! / (2! x 2!) = 360 / 4 = 90.

So there are 90 distinct arrangements of the letters in SPINNING.

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The table of values when evaluated as a function a(n) has the equation a(n) = n/5

Given the following table of values

X 5 10 15 25 40

Y 1 2 3 5 8

In the above table of values, we can see that

The y value is multiplied by 5 to get the y value

Mathematically, this can be expressed as

x = 5y

Divide both sides of the equation by 5

So, we have

y = x/5

When expressed as a function of n, we have

a(n) = n/5

Hence, the equation of the function is a(n) = n/5

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the concept of a sequence of transformations is a fundamental one in many different fields, as it allows us to understand how complex systems or objects can be broken down into smaller, more manageable parts that can be manipulated or analyzed in a systematic way.

What is a sequence?

The sequence is an ordered list of elements or events that follow a particular pattern or rule. In mathematics, a sequence typically refers to a set of numbers that are arranged in a specific order, with each element in the sequence being defined by a mathematical formula or recurrence relation.

A sequence of transformations refers to a series of steps or operations that are performed in a specific order to change or manipulate a given object or system. These transformations can take many different forms, depending on the context in which they are used.

For example, in mathematics, a sequence of transformations might refer to a series of algebraic manipulations that are used to simplify or solve an equation. In computer science, a sequence of transformations might refer to a series of functions or algorithms that are applied to data in order to transform it into a different format or structure.

In other fields, such as physics or chemistry, a sequence of transformations might refer to a series of physical or chemical changes that occur in a system over time. These transformations could include changes in temperature, pressure, or chemical composition, among other factors.

Therefore , the concept of a sequence of transformations is a fundamental one in many different fields, as it allows us to understand how complex systems or objects can be broken down into smaller, more manageable parts that can be manipulated or analyzed in a systematic way.

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A data that appears to be an outlier has been circled as shown in the image attached below.

The estimated difference between any outliers and their predicted values is 285.

In Mathematics and Statistics, an outlier is sometimes referred to as an anomalous data and it can be defined as a numerical value that is either unusually too large (big) or little (small) in comparison with the overall pattern of the numerical values contained in a data set.

This ultimately implies that, an outlier simply refers to individual data points (values) in a data set that do not fit or seem uncharacteristic of the overall pattern and general trend.

Based on the scatter plot, the predicted outliers are 150 and 435;

Difference = 435 - 150

Difference = 285.

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