What percent of $44 equals $11

Answer:

The largest number of mini cakes Nicole can make with the butter she has is 9.

Step-by-step explanation:

Given that Nicole has 2/3 of the butter needed to make a cake, and the same amount of butter is needed to make 1 cake as it does to make 14 mini cakes, to determine what is the largest number of mini cakes Nicole can make with the butter she has, the following calculation must be performed:

2/3 = 0.666

1 = 14

0.666 = X

0.666 x 14/1 = X

9.333 = X

Therefore, the largest number of mini cakes Nicole can make with the butter she has is 9.

The scale factor relationship between the Radio coverages is approximately 1.4, indicating that the coverage of radio B is about 1.4 times larger than the coverage of radio A.

Part A: To calculate the area covered by two-way radio A, we need to find the area of a circle with a radius of 5 miles.

The formula to find the area of a circle is:

Area = π * radius^2

Given that the radius is 5 miles and we can use 3.14 for π, we can calculate the area as follows:

Area = 3.14 * 5^2

Area = 3.14 * 25

Area = 78.5

Rounding to the nearest whole number, the area covered by two-way radio A is 79 square miles.

Part B: To calculate the area covered by two-way radio B, we need to find the area of a circle with a radius of 11.27 kilometers.

Using the same formula as in Part A, but converting the radius from kilometers to miles since we need the answer in square kilometers:

Radius in miles = 11.27 kilometers / 1.61 kilometers per mile

Radius in miles = 6.9993 miles (rounded to four decimal places)

Area = 3.14 * (6.9993)^2

Area = 3.14 * 48.99314849

Area = 153.937

Rounding to the nearest whole number, the area covered by two-way radio B is 154 square kilometers.

Part C: To compare the areas covered by the two-way radios, we need to convert the area of radio A from square miles to square kilometers.

Area of radio A in square kilometers = 79 square miles * 1.61 square kilometers per mile

Area of radio A in square kilometers = 127.19 square kilometers

Comparing the areas, we see that radio B covers 154 square kilometers, which is larger than the area covered by radio A (127.19 square kilometers). Therefore, two-way radio B covers the larger area.

Part D: The scale factor relationship between the radio coverages can be determined by comparing the radii of the two circles.

The radius of radio A is 5 miles, and the radius of radio B is 11.27 kilometers.

Converting 5 miles to kilometers:

Radius of radio A in kilometers = 5 miles * 1.61 kilometers per mile

Radius of radio A in kilometers = 8.05 kilometers

The scale factor relationship between the radio coverages is:

Scale factor = Radius of radio B / Radius of radio A

Scale factor = 11.27 kilometers / 8.05 kilometers

Scale factor ≈ 1.4

Therefore, the scale factor relationship between the radio coverages is approximately 1.4, indicating that the coverage of radio B is about 1.4 times larger than the coverage of radio A.

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Answer:

Absolute value of any number is positive. so the absolute value of (-35) is 35.

Step-by-step explanation:

Answer:30

Step-by-step explanation: act like both of the triangles are there, that is a rectangle 6 times 10 equals 60. 60 divided by 2 is 30

Answer:

2

Explanation:

Given the function:

The greatest power of f(x) = 3.

This means that the polynomial f(x) is a cubic polynomial.

The number of turning points in a cubic polynomial is 2.

A graphical illustration is attached below:

Thus, the number of turns in the graph of the function f(x) is 2.

Answer:

100 and 80

Step-by-step explanation:

We know that the angles have to add up to 180 because they are supplementary;

And we know that 80 is 80% of 100 so yeah

The equation is given by x + 0.8x = 180°

The measure of first angle = 100°

The measure of second angle = 80°

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Since the angles are supplementary , the sum of the angles is = 180°

Let the first angle be = x

The measure of one is 80% of the measure of the other

Substituting the values in the equation , we get

The measure of second angle = ( 80/100 ) x

The measure of second angle = 0.8x

The sum of the angles is = 180°

Substituting the values in the equation , we get

x + 0.8x = 180

On simplifying the equation , we get

1.8x = 180

Divide by 1.8 on both sides of the equation , we get

x = 100°

So , the second angle = 80°

Hence , the measures of the angles are 100° and 80°

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In summary, the slope of the line is -6, and the y-intercept is (0, -2).

To find the slope and y-intercept of the line y = -6x - 2, we can compare it to the slope-intercept form of a linear equation, which is y = mx + b. In this form, "m" represents the slope, and "b" represents the y-intercept.
For the given equation y = -6x - 2:
1. Identify the slope (m): The coefficient of the x term, which is -6, represents the slope. Therefore, the slope (m) is -6.
2. Identify the y-intercept (b): The constant term, which is -2, represents the y-intercept. To express the y-intercept as a coordinate (0, b), substitute 0 for the x value. So the y-intercept coordinate is (0, -2).
In summary, the slope of the line is -6, and the y-intercept is (0, -2).

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To find the y-coordinate of point P on the unit circle, given that its x-coordinate is 5/13, we can utilize the Pythagorean identity for points on the unit circle.

The Pythagorean identity states that for any point (x, y) on the unit circle, the following equation holds true:

x^2 + y^2 = 1

Since we are given the x-coordinate as 5/13, we can substitute this value into the equation and solve for y:

(5/13)^2 + y^2 = 1

25/169 + y^2 = 1

To isolate y^2, we subtract 25/169 from both sides:

y^2 = 1 - 25/169

y^2 = 169/169 - 25/169

y^2 = 144/169

Taking the square root of both sides, we find:

y = ±sqrt(144/169)

Since we are dealing with points on the unit circle, the y-coordinate represents the sine value. Therefore, the y-coordinate of point P is:

y = ±12/13

So, the y-coordinate of point P can be either 12/13 or -12/13.

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Therefore, the total cost of the knives is $50.

Arithmetic is the fundamental of mathematics that includes the operations of numbers. These operations are addition, subtraction, multiplication and division. Arithmetic is one of the important branches of mathematics, that lays the foundation of the subject 'Maths', for students.

The total cost of the knives is $50.

What is being offered in the television ad?

A set of knives is being offered in the television ad. The knives are being sold for $20 down and $5 a month for six months.How to determine the total cost of the knives?To calculate the total cost of the knives, we will use the formula:

Total cost = Down payment + Monthly payment × Number of monthsTotal cost

= $20 + $5 × 6 = $20 + $30

= $50

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The line segment AB in the diagram travels through the centre O of the circle and has its endpoints on the circle. As a result, it is a circle's diameter.

In geometry, the diameter of a circle is any straight line segment that has an endpoint on the circle and travels through its centre. Another way to put it is the longest chord of a circle. Either idea can be used to define the diameter of a sphere. The diameter is the length of the line that runs tangent to the two points at either end of the circle. If you take length to be the distance between two points, diameter equals length. The diameter of a circle is the distance between its two furthest points.

A diameter is represented by the line, segment, or ray shown in the diagram. A diameter is defined as a line segment that travels through the centre of a circle and has its ends on the circle. The line segment AB in the diagram travels through the centre O of the circle and has its endpoints on the circle. As a result, it is a circle's diameter.

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The correlation coefficient, denoted as r, is a measure of the strength and direction of a linear relationship between two variables. It ranges from -1 to 1, where -1 indicates a perfect negative correlation, 1 indicates a perfect positive correlation, and 0 indicates no correlation.

To decide if the correlation coefficient is close enough to ± 1 to declare that there is a correlation, we can use the following guidelines:

- If r is close to 0, it indicates that there is little to no correlation between the two variables.
- If r is between 0.1 and 0.3 (or -0.1 and -0.3), it indicates a weak positive (or negative) correlation.
- If r is between 0.3 and 0.7 (or -0.3 and -0.7), it indicates a moderate positive (or negative) correlation.
- If r is between 0.7 and 1 (or -0.7 and -1), it indicates a strong positive (or negative) correlation.

Therefore, if the correlation coefficient is close to ± 1, we can declare that there is a strong correlation between the two variables. However, it is important to note that correlation does not imply causation, and other factors should also be considered before drawing any conclusions.

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If the correlation coefficient is close to +1 or -1, we can declare that there is a strong correlation between the two variables. If the correlation coefficient is close to 0, we can declare that there is a weak or no correlation between the two variables.

To decide if the correlation coefficient is close enough to ± 1 to declare that there is a correlation, we can use the following guidelines:

- A correlation coefficient of +1 or -1 indicates a perfect linear relationship between two variables.
- A correlation coefficient close to +1 or -1, such as +0.9 or -0.9, indicates a strong linear relationship between two variables.
- A correlation coefficient close to 0, such as +0.2 or -0.2, indicates a weak linear relationship between two variables.
- A correlation coefficient of 0 indicates no linear relationship between two variables.

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\(m\angle E=\sin \dfrac{\sqrt{10}}{2\sqrt5}=\sin \dfrac{\sqrt2}{2}=45^{\circ}\)

the standard form of the equation -9x²+25y²-100y = 125 is x²/25 + (y-2)²/9 = 1

Add 125 to both sides of the equation.

-9x²+25y²-100y = 125

Complete the square for 25y²-100y

25(y-2)²-100

Substitute 25(y-2)²-100 for 25y²-100y in the equation

-9x²+25y²-100y = 125

-9x²+25(y-2)²-100 = 125

Move −100 to the right side of the equation by adding 100 to both sides.

-9x²+25(y-2)² = 125 +100 = 225

Divide each term by 225 to make the right side equal to one.

-9x²/225 +25(y-2)²/225 = 225/225

Simplify each term in the equation in order to set the right side equal to 1. The standard form of an ellipse or hyperbola requires the right side of the equation to be 1.

x²/25 + (y-2)²/9 = 1

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Answer:

14c + 61 is greater than or equal to (put the greater than symbol with the line underneath there) 600

The inequality for raising the money will be written as 14c + 61 > 600.

When two expressions are connected by a sign like "not equal to," "greater than," or "less than," it is said to be inequitable. The inequality shows the greater than and less than the relation between variables and the numbers.

Given that the students in Mr. Lin's class are having a car wash to raise money for a trip. They need at least $600 to go on the trip. They have already raised $61. They make $14 for every car they wash.

The inequality will be written as,

14c + 60 > 600

Here, c is the number of the car wash.

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Answer:

here you go.

Step-by-step explanation:

The diagonal is the hypotenuse of a rectangular triangle.

So:

d2=l2+w2 

132=169=(x+7)2+x2=x2+14x+49+x2→

2x2+14x−120=0→x2+7x−60=0

A simple quadratic equation resolving into:

(x+12)(x−5)=0→x=−12orx=5

Only the positive solution is useable so:

w=5andl=12

The critical value zₐ/₂ that corresponds to an 83% level of confidence is approximately 1.381.

To find the critical value zₐ/₂, we need to determine the value that leaves an area of (1 - α)/2 in the tails of the standard normal distribution. In this case, α is the complement of the confidence level, which is 1 - 0.83 = 0.17. Dividing this value by 2 gives us 0.17/2 = 0.085.

To find the z-value that corresponds to an area of 0.085 in the tails of the standard normal distribution, we can use a standard normal distribution table or a statistical calculator. The corresponding z-value is approximately 1.381.

Therefore, the critical value zₐ/₂ that corresponds to an 83% level of confidence is approximately 1.381.

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The opposite of 4 is -4 :/

Answer:

-4

Step-by-step explanation:

correct have a nice day

Answer:

252

Step-by-step explanation:

6x42=252

Step-by-step explanation:

the answer is in the photo as attached

Answer:

Use the identity:

Substitute:

to get

Answer:

True

Step-by-step explanation:

only one output for each input passes the vertical line test

Answer:

A

Step-by-step explanation:

For f(x) to be a function each value of x in the domain must map to exactly one unique value of y in the range.

This is the case here thus f(x) is a function

Answer:

4/100 is the fraction

Step-by-step explanation:

there are four blue blocks shaded out of the 100

The most appropriate domain for Spencer's table would be D. all whole numbers.

To explain this, let's first understand the terms involved. In this context, the domain refers to the set of possible input values (x) for the function, which in this case, represents the number of people attending the school basketball game.

Option A, all integers, includes negative numbers, which are not suitable as you cannot have a negative number of people. Option B, all rational numbers, comprises fractions, which are also not applicable because you cannot have a fraction of a person attending the game. Option C, all real numbers, consists of all numbers including irrational numbers like π, which are not relevant in this context as well.

Option D, all whole numbers, represents the most suitable domain as it includes all non-negative integers (0, 1, 2, 3, ...). This set accurately represents the possible number of people attending the game, since you can have zero or a whole number of people attending but not negative or fractional values.

Therefore, Spencer should use whole numbers as the domain for his table to relate the number of people (x) to the money made from ticket sales (y).

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Answer:

The answer for (a) is at the picture

(b) The vertex is (-2,7)

(c) Yes the parabola open downward

(d) -(x+2)^2+7 the turning point is at (-2,7) since it is where the group curves

Step-by-step explanation:

The length of the springboard, x is  28.2. The correct option is (4).

We can say that the length of the springboard (x) is the hypotenuse of a right triangle, where the opposite side is the height of the spring (8 inches) and the angle opposite the height is 16.5 degrees.

Using trigonometry, we can write:

sin(16.5) = 8 / x

Multiplying both sides by x, we get:

x * sin(16.5) = 8

Dividing both sides by sin(16.5), we get:

x = 8 / sin(16.5)

Using a calculator, we can evaluate this expression to the nearest tenth of an inch as:

x ≈ 28.2

Therefore, the length of the springboard to the nearest tenth of an inch is approximately 28.2 inches. The answer is option (4).

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The value of x is 5, if a, b, and c are collinear points.

According to the given question.

a, b, and c are collinear points.

Which means points a, b, and c both lie in a same line.

b is between a nd c .

Also, ab = 12

bc = 5x - 2

and ac = 3x + 20

Since, b lies in between a and c

Therefore,

ab + bc = ac

12 + 5x - 2 = 3x + 20

⇒ 10 + 5x = 3x + 20

⇒ 5x - 3x = 20 - 10

⇒ 2x = 10

⇒ x = 10/ 2

⇒ x = 5

Therefore, the value of x is 5.

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Thus, the coordinates of ΔF'I'G' after a rotation of 90° clockwise about the origin. are - F'(4,-2), I'(4,-5) and G'(2,-3).

A rotation is a turn made about a specific axis. Both clockwise and anticlockwise rotations are possible. Whereas the image is really the rotating image, the pre-image is the original item.

From the pre-image point, calculate the image. The listed pre-image point is (x , y). Change the x and y coordinates, then multiply this same previous y coordinate by -1 to get a 90 degree anticlockwise rotation. Use the guidelines mentioned below to calculate each rotation.

Clockwise :

Given :

F(2, 4), I(5, 4) and G(3, 2)

After 90 degree rotation: (x , y) ----> (y , -x)

F'(4,-2), I'(4,-5) and G'(2,-3).

Thus, the coordinates of ΔF'I'G' after a rotation of 90° clockwise about the origin. are - F'(4,-2), I'(4,-5) and G'(2,-3).

Graphs for the both triangles are obtained.

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Correct question:

ΔFIG has vertices at F(2, 4), I(5, 4) and G(3, 2). Graph ΔFIG and ΔF'I'G' after a rotation of 90° clockwise about the origin.​

The integral ∫(1 to e^7) 6/t dt can be evaluated using the natural logarithm function. We start by observing that the integral can be rewritten as ∫(1 to e^7) 6t^(-1) dt.

Applying the power rule of integration, we have:

∫(1 to e^7) 6t^(-1) dt = 6∫(1 to e^7) t^(-1) dt

Using the integral of t^(-1), which is ln(t), we get:

6∫(1 to e^7) t^(-1) dt = 6[ln(t)](1 to e^7)

Substituting the limits of integration, we have:

6[ln(e^7) - ln(1)]

Since ln(e) = 1 and ln(1) = 0, the integral simplifies to:

6[7 - 0] = 42

Therefore, the value of the integral is 42.

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To evaluate the integral ∫(1 to e^7) 6/t dt, we can use the properties of logarithms. Recall that the integral of 1/t with respect to t is equal to ln|t| + C, where C is the constant of integration.

Applying this rule to our integral, we have:

∫(1 to e^7) 6/t dt = 6 ∫(1 to e^7) 1/t dt

Using the integral rule, we get:

= 6 [ln|t|] (from 1 to e^7)

Evaluating the integral at the limits, we have:

= 6 [ln|e^7| - ln|1|]

= 6 [7 - 0]

= 42

Therefore, the value of the integral ∫(1 to e^7) 6/t dt is 42.

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Answer:

The image for number 10 is shown below as

In geometry, two figures or objects are congruent if they have the same shape and size, or if one has the same shape and size as the mirror image of the other.

Answer:

Step-by-step explanation:

x=intercept is when the line intersect with the x axis when y=0

6: x intercept (1,0)

y intercept is when the line intersect with y axis at certain point or when x=0

y intercept (0.-24)

5: (0,-4) the y intercept

 ( 25,0) is the x intercept

21: (0,20) y intercept

    (6,0) x intercept

22: (8,0) x intercept

(0 , 4) the y-intercept