Iliana’s math grade increased from 65 to 86. Fiona’s math grade increased from 70 to 80. What is the difference, rounded to the nearest whole number, between the approximate percent increases?

Not sure. I would say no.

Step-by-step explanation:

Step 1: (sin²A+cos²A)²

Step 2: (a+b)² = a²+b²+2ab

Step 3: (sin²A+cos²A)²=sin⁴+cos⁴+2sin²Acos²A

make sure to use: sin²a+cos²a=1

Step 4: (1)²-2sin²Acos²A = sin⁴A+cos⁴A

Step 5: 1-2sin²Acos²A = sin⁴A+cos⁴A

Answer:

Point D lies on the circumference of the unit circle

Step-by-step explanation:

Use the unit circle formula x^2 + y^2 = 1 plug the possible answer choices into this formula and determine  which one is true.

D(3/4,root 7/4) lies on the circumference of the unit circle , Option D is the correct answer.

A unit circle is a circle with 1 unit radius and the center is at origin .

The equation of a unit circle is x ² + y² =1

The points given are

A(4,3) B(1/2,1/5) C(0.6,0.7) D(3/4,root 7/4).

To check if they lie on the circumference of a unit circle , They have to be substituted in the equation of unit circle.

Point A

4 ² + 3² =1

16+ 9 ≠ 1

Point B

(1/2) ² + (1/5)² =1

(1/4) + (1/25) = 1

29/100  ≠ 1

Point C

(0.6) ² + (0.7)² =1

0.85 ≠ 1

Point D

(3/4)² + (√7/4)² =1

(9/16) + (7/16) = 1

1 = 1

Therefore , Option D,  D(3/4,root 7/4) lies on the circumference of the unit circle.

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Answer:

Step-by-step explanation:

To calculate the number of yellow paperclips expected to be drawn if a paperclip is drawn 800 times, multiply the number of draws by the probability of drawing a yellow paperclip.

Therefore, if a paperclip is drawn a total of 800 times, a yellow paperclip is expected to be drawn roughly 180 times.

To calculate the number of blue paperclips expected to be drawn if a paperclip is drawn 80 times, multiply the number of draws by the probability of drawing a blue paperclip.

Thus, if a paperclip is drawn a total of 80 times, a blue paper clip is expected to be drawn roughly 21 times.

Finally, calculate the number of draws necessary if a green paperclip is drawn roughly 1,235 times, divide 1,235 by the probability of drawing a green paperclip.

Therefore, If a paperclip is drawn a total of 5,200 times, a green paper clip is expected to be drawn roughly 1,235 times.

Answer: 1. Shopping for the best price.

2. Preparing food.

3. Understanding sports (being a player and team statistics)

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Everyday life is filled with mathematical applications such as managing finances, estimating travel time and distance, and understanding symmetry in design, demonstrating the practical importance of mastering essential mathematical skills.

Mathematics is deeply embedded in our everyday lives, and we often apply mathematical concepts without even realizing it. Here are three examples that illustrate the prevalence of mathematics in daily activities:

In addition to these practical applications, developing a mental agility for mathematics allows us to employ shortcuts and rule-of-thumb strategies to make our lives easier.

Answer:

What is shows is that there could be an increase in a business or a decrease. It shows whats happened in the last amount of time. It can show if you have been doing good or bad in something.

Step-by-step explanation:

Answer:

By its diagrammatic representation, a flow chart can represent step-by-step the solution of a task.

Step-by-step explanation:

A flow chart is commonly defined as a diagrammatic representation or concept map of an algorithm. They can be used to shows the statements and reasons needed to indicate the logical order during the solution of a task.

Bearing the above in mind, it could be said that they illustrate the solution to a certain problem, as well they can analyze, design or manage a process.

Answer:

[tex]\sqrt{17t}[/tex]

Step-by-step explanation:

Consider the right side of the table

It informs us of the values for h(t) for different values of t

The top one informs us what h(t) is when t = 17, that is

h(t) = [tex]\sqrt{17t}[/tex], when t = 17, thus

h(17) = [tex]\sqrt{17t}[/tex]

Answer: A and D .

Explanation: The prism by a plane parallel to the base will take the shape of the base and The prism sliced by a plane perpendicular to the base will take the shape of the sides is the correct answers.

The prism by a plane parallel to the base will take the shape of the base and The prism sliced by a plane perpendicular to the base will take the shape of the sides.

There are a total of six faces, twelve sides, and eight vertices in a rectangular prism. It has three dimensions, just like a cuboid: the base width, the height, and the length. The rectangular prism has a rectangular shape at its top and bottom. A rectangular prism has opposite face pairs that are identical or congruent.

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So first let’s put g(f(x)) together by putting f(x) for every x in g(x)

We get g(f(x))=3(3/4x+3)+4 which is the selling price equation

Then you plug in 20 to find the selling price for 20 muffins.

g(f(x))=3(3/4(20)+3)+4

g(f(x))=3(60/4+3)+4

g(f(x))=3(18)+4

g(f(x))=54+4

g(f(x))=58

So the selling price will be $58 for 20 muffins.

Answer:0.8, just add up and find the mean

First you add up all your numbers then you divide by how many numbers you have to get the mean.

Your answer would .8

Answer:

It is an obtuse angle so it is greater than 90 degrees you will have to use a protractor to figure it out.

Answer:

160, 60, 20

Step-by-step explanation:

Answer:

15.

Step-by-step explanation:

Divide each side by .15 9/.15 = .15/.15x  

The .15 on the right side of the equation cancels to 1, so once you divide 9 by .15, you get the answer.  

60 = x

18. ..................

Check the picture below.

X= 2

This is the answer I don’t know if you want an explanation or not but it needs to be 20 cHaRaCterS lONg

Answer:

Part 1) [tex]HD=\sqrt{105}\ units[/tex]

Part 2) [tex]JD=2\sqrt{34}\ units[/tex]

Part 3) [tex]KD=6\sqrt{2}\ units[/tex]

Step-by-step explanation:

step 1

Find the length HD

In the right triangle HDF

Applying the Pythagoras Theorem

[tex]FD^{2} =HF^{2} +HD^{2}[/tex]

substitute the values and solve for HD

[tex]19^{2} =16^{2} +HD^{2}[/tex]

[tex]HD^{2}=19^{2}-16^{2}[/tex]

[tex]HD^{2}=105[/tex]

[tex]HD=\sqrt{105}\ units[/tex]

step 2

Find the length JD

In the right triangle JDF

Applying the Pythagoras Theorem

[tex]FD^{2} =JD^{2} +FJ^{2}[/tex]

we have

[tex]FD=19\ units[/tex]

[tex]FJ=JG=15\ units[/tex] ----> because JD is a perpendicular bisector

substitute the values and solve for JD

[tex]19^{2} =JD^{2} +15^{2}[/tex]

[tex]JD^{2}=19^{2}-15^{2}[/tex]

[tex]JD^{2}=136[/tex]

[tex]JD=\sqrt{136}\ units[/tex]

[tex]JD=2\sqrt{34}\ units[/tex]

step 3

Find the length KD

In the right triangle KDG

Applying the Pythagoras Theorem

[tex]GD^{2} =KD^{2} +GK^{2}[/tex]

we have

[tex]GD=FD=19\ units[/tex]

[tex]GK=17\ units[/tex]

substitute the values and solve for KD

[tex]19^{2} =KD^{2} +17^{2}[/tex]

[tex]KD^{2}=19^{2}-17^{2}[/tex]

[tex]KD^{2}=72[/tex]

[tex]KD=\sqrt{72}\ units[/tex]

[tex]KD=6\sqrt{2}\ units[/tex]

Answer:

y=2x-8

Step-by-step explanation:

this is the answer for ttm

Answer:

Last option: Keep the base the same and then subtract the exponents.

Step-by-step explanation:

There is a property called "Quotient of power property".

This property states that if you need to divide two powers with the same base, you must keep the same base and subtract the exponents:

[tex]\frac{a^m}{a^n}=a^{(m-n)}[/tex]

Then, you need to apply this property to the expression [tex]\frac{(3^{-6})}{(3^{-4})}[/tex] to simplify it.

Therefore, you get that the expression simplified is:

[tex]3^{(-6-(-4))}=3^{(-6+4)}=3^{-2}[/tex]

Answer:b

Step-by-step explanation:

Answer:

Surface Area of a Cube = 6[tex]a^{2}[/tex]

Surface Area of a Rectangular Prism = 2ab + 2bc + 2ac

Surface Area of a Sphere = 4 pi r[tex]^{2}[/tex]

Surface Area of a Cylinder = 2( pi [tex]r^{2}[/tex]) + (2 pi r)* h

Rights reserved to their respective owners

Answer:

1666.67

Step-by-step explanation:

6ft.......................................8ft

1250ft................................xft

1250/6 = x/8

x = 1250/6*8

Answer:

The parallel lines are lines that are always at the same distance apart from each other and never touch. Also they must be drawn in the same plane.

Step-by-step explanation:

Consider the provided information.

The parallel lines are lines that are always at the same distance apart from each other and never touch. Also they must be drawn in the same plane.

The sketch that shows parallel lines is shown in figure.

The real life example of parallel lines.

Few examples are:

1) Railroad Tracks

2) Edges of walls

3) Zebra crossing

Parallel lines are straight lines that run in the same direction, never intersect, and maintain a constant separation distance, as seen in railroad tracks.

Parallel-Lines are two or more straight lines that run in the same direction and never intersect, no matter how far they extend. They maintain a constant separation distance between them, and their slopes (steepness) are equal.

In a sketch, parallel lines are depicted as lines that are equidistant from each other and do not cross, remaining at the same distance apart.

The sketch of parallel-lines is shown below;

A real-world example of parallel lines is railroad tracks. When you observe two railway tracks running alongside each other, they serve as a practical illustration of parallel lines. They remain equidistant throughout their length and never converge, ensuring safe and efficient train transportation.

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Step-by-step explanation:

32x ÷ 4 = 16

32x = 64

x = 2

Answer:

Option a.

Step-by-step explanation:

An ordered pair is written in the following form: (x, y). It means, first the independent variable and secondly the dependent variable.

In the diagram, the first circle represents the independent variable, and the second circle represents the dependent variable.

Then, the set of ordered pairs is (From left to right)

(-3, 3) ; (0, 0) ; (2, -2).

So the correct option is option a.

Answer:

The correct answer is option a

(-3, 3), (0, 0) and (2, -2)

Step-by-step explanation:

From the figure we can see three points are marked.

Each points can be written as ordered pair (x, y)

From left to right we can write,

the three pots are,

(-3, 3), (0, 0) and (2, -2)

Therefore the correct answer is option a

Answer:

108.505

Step-by-step explanation:

Let's talk money for just a second. Which would you rather have 20 dollars or 20.32      20dollars and 32 cents?

Isn't 20.32 bigger than 20.

You should say yes.

If that is true, then 108.505 should be larger than 108.5 not by much, but still larger.

After comparing digits after the decimal point, 108.505 is greater than 108.5 because 505 is greater than 500.

When comparing two decimal numbers, you should compare them digit by digit, starting from the leftmost digit. In this case, both numbers start with 108, which is the same. However, when comparing the next set of digits after the decimal point, you have 505 for the first number and 5 (equivalent to 500) for the second number. Because 505 is greater than 500, the first number, 108.505, is greater than the second number, 108.5.

Answer:

5^2

Step-by-step explanation:

Answer:

x = ±sqrt(26)

Step-by-step explanation:

x^2 = 26

Take the square root of each side

sqrt(x^2) = sqrt(26)

x = ±sqrt(26)

This cannot be simplified any further

Final answer:

The zeros of the function h(x)=(-4x-3)(x-3) are x=3/4 and x=3, with the smaller solution being 3/4 and the larger solution being 3.

Explanation:

To solve for x, we need to find the zeros of the function h(x) = (-4x-3)(x-3). The zeros of a function occur where the function equals zero, so setting h(x) to zero gives us:

0 = (-4x - 3)(x - 3)

A function is zero when any of its factors are zero. We can, therefore, set each factor equal to zero and solve:

-4x - 3 = 0 => x = -3/(-4) => x = 3/4

x - 3 = 0 => x = 3

So the zeros of the function are x = 3/4 and x = 3. The smaller solution is x = 3/4, and the larger solution is x = 3.

The two angles are supplementary angles and make a straight line.

This means when added together they need to equal 180 degrees.

x + 34 + 2x + 2 = 180

Combine like terms:

3x + 36 = 180

Subtract 36 from each side:

3x = 144

Divide both sides by 3:

x = 48

Answer:

Step-by-step explanation:

[tex]8g=96\qquad\text{divide both sides by 8}\\\\\dfrac{8g}{8}=\dfrac{96}{8}\\\\g=12[/tex]

the answer is (x−3)(x−9)

9/20 is coconut milk

The proportion of coconut milk in the fruit cocktail is 9/20, which is calculated by dividing the amount of coconut milk (45 ml) by the total volume of the cocktail (100 ml), then simplifying the fraction.

To find the proportion of coconut milk in the fruit cocktail, we first add up the total amount of all the liquids that go into the cocktail. According to the question, for every 25 ml of orange juice, there is also 30 ml of apple juice and 45 ml of coconut milk mixed together. Adding these amounts gives us a total mixture volume of 25 ml + 30 ml + 45 ml = 100 ml for the cocktail.

Next, we need to find out what fraction of this total mixture is coconut milk. Since there are 45 ml of coconut milk in the total 100 ml of the cocktail, the fraction is 45/100. This fraction can be simplified by dividing both numerator and denominator by the greatest common divisor, which is 5, giving us 9/20.

Therefore, the proportion of coconut milk in the fruit cocktail is 9/20.

Answer:

Option A

Step-by-step explanation:

Given

m=( y_2- y_1)/(x_2-x_1 )

In order to get the equivalent equation, multiplying the denominator x_2-x_1with m.

m(x_2-x_1 )=y_2- y_1

Adding y1 to both sides of equation will give:

m(x_2-x_1 )+ y_1=y_2- y_1+y_1

So the end result will be:

m(x_2-x_1 )+ y_1=y_2

Can also be written as:

y_2=m(x_2-x_1 )+ y_1

Comparing it the given options gives us that Option A is the correct answer.

The Correct answer is A