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?
10 percent
15 percent
18 percent
21 percent

3×4 + ½ ×3×4 + 1×4 + ½×3×4

12 + 6 + 4 + 6

18+ 10

28units²

Answer:

no

Step-by-step explanation:

Answer:

∠ 2 = 70°

Step-by-step explanation:

110° and ∠ 1 are corresponding angles and congruent, thus

∠ 1 = 110°

∠ 1 and ∠ 2 are adjacent angles and are supplementary, thus

∠ 2 = 180° - ∠ 1 = 180° - 110° = 70°

Double-check the input and review the solution provided by the matrix calculator to ensure accuracy.

The matrix calculator is a useful tool for solving equations involving matrices. To find the values of the variables in the matrix calculator, follow these steps:

1. Enter the coefficients of the variables and the constant terms into the calculator. For example, if you have the equation 2x + 3y = 10, enter the coefficients 2 and 3, and the constant term 10.

2. Select the appropriate operations for solving the equation. The calculator will provide options such as Gaussian elimination, inverse matrix, or Cramer's rule. Choose the method that suits your equation.

3. Perform the selected operation to solve the equation. The calculator will display the values of the variables based on the solution method. For instance, Gaussian elimination will show the values of x and y.

4. Check the solution for consistency. Substitute the obtained values back into the original equation to ensure they satisfy the equation. If they do, you have found the correct values of the variables.Remember to double-check the input and review the solution provided by the matrix calculator to ensure accuracy.

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Answer:

Step-by-step explanation:

6x - 7 = 5x - 3

x - 7 = -3

x = 4

6(4) - 7 + 5(4) - 3

24 - 7 + 20 - 3

44 - 10 = 34

The measurement of length AC will be 11x - 10.

The general equation of a straight line is -

[y] = [m]x + [c]

where -

[m] → is slope of line which tells the unit rate of change of [y] with respect to [x].

[c] → is the y - intercept i.e. the point where the graph cuts the [y] axis.

For : Pq + qR = PR, the points P, q and R should lie on a straight line. This means that the points are Collinear to each other.

We have the following measurements -

AB = 6x -7 and BC = 5x - 3

We can write -

AC = AB + BC

AC = 6x - 7 + 5x - 3

AC = 11x - 10

or

y = AC = 11x - 10

Therefore, the measurement of length AC will be 11x - 10.

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Equation of a line:

9x - 7y = -63

To find the x-intercept we have to substitute y = 0 into the equation, as follows:

9x - 7*0 = -63

9x = -63

Dividing by 9 at both sides of the equation:

9x/9 = -63/9

x = -7

To find the y-intercept we have to substitute x = 0 into the equation, as follows:

9*0 - 7y = -63

-7y = -63

Dividing by -7 at both sides of the equation:

-7y/(-7) = -63/(-7)

y = 9

Answer

x-intercept: −7; y-intercept: 9

Answer: the answer is b

Step-by-step explanation:

The probability that a student makes more than 7 mistakes on the exam is 0.39.

In science, the probability of an event is a number that indicates how likely the event is to occur. It is expressed as a number in the range from 0 and 1, or, using percentage notation, in the range from 0% to 100%. T

Now, let X be the number of mistakes a student makes on the exam. Then, the X follows a binomial distribution with n=16 and some unknown probability of success p (i.e., the probability of answering a question correctly).

We know that P(X<5) = 0.47 and P(5<=X<=7) = 0.14. Using the complement rule, we can find P(X>7) as follows:

P(X>7) = 1 - P(X<=7)

= 1 - P(X<5) - P(5<=X<=7)

= 1 - 0.47 - 0.14

= 0.39. Therefore, the probability that a student makes more than 7 mistakes on the exam is 0.39.

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Answer:

93

Step-by-step explanation:

v=66×62/44=93

hope it helps

Hey there!

“66 / v = 44 / 62”

~ FIRST you have to CROSS MULTIPLY

66 • 62 = 44 • v

66 • 62 = 4,092

44 • v = 44v

➡️ 4,092 = 44v

~ SECOND TURN/FLIP your EQUATION

44v = 4,092

~ THIRD DIVIDE both SIDES by 44

44v / 44 = 4,092 / 44

CANCEL out: 44 / 44 because that gives you 1

KEEP: 4,092 / 44 because that gives you the v-value

FOURTH: SOLVING

4,092 / 44 = v ; v = 4,092 / 44

Solve the equation that’s in STEP FOUR and you have your v-value

Answer:

v = 93 ☑️

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

Answer:

50%

Step-by-step explanation:

The question asks who has taken fewer than 19 courses.

So first we look at how many are fewer than 19.

There are 4 that are fewer than 19: 12, 9, 5, 17

So.. 4/8    (8 is the total number of options)

To find the percentage you...

Answer:

first angle: x=6. second angle: x=20

Step-by-step explanation:

The first angles are complementary as they add up to 90 degrees.

The second angles are supplementary as they add up to 180 degrees.

to find x for the first angle, set up the equation: 10x+30=90. 10x=60, x=6.

to find x for the second angle, set up the equation: (4x+40)+3x=180. 7x+40=180, 7x=140, x=20.

The given ray is a bisector of a given angle.

So, the option (b) is the correct answer.

What is bisector?

Bisection in geometry is the division of an object into two equal or congruent parts, typically by a line, which is then referred to as a bisector. The segment bisector and the angle bisector are the two types of bisectors that are most frequently used.

An angle is divided into two equal parts by a ray known as an angle bisector or angle bisector. For instance, if ray AX divides a 60 degree angle into two equal parts, each measurement will be 30 degrees.

Consider, the given angle.

The given angle is bisects by a ray equally.

Hence, the given ray is a bisector of a given angle.

So, the option (b) is the correct answer.

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There is no such vector-valued function r(t) that satisfies the given condition.

I. There is no such vector ū that satisfies u + ū = (1, 2) because if we add any vector to u, we change its direction and magnitude, but the vector ū should have the same magnitude and opposite direction to u.

II. Let v = (1, 3, -1). Then u + v = (2+1, 1+3, 3-1) = (3, 4, 2) and u x v = (-5, 7, -1). So u x v = u + v. Therefore, v satisfies the given condition.

III. There is no such vector-valued function r(t) because if r(t) = (x(t), y(t)) satisfies the condition that r'(t) = 2r(t), then we have:

x'(t) = 2x(t) and y'(t) = 2y(t)

These are two separate first-order differential equations, which have general solutions of the form:

x(t) = c1e^(2t) and y(t) = c2e^(2t)

where c1 and c2 are constants determined by the initial conditions. However, the vector-valued function r(t) = (x(t), y(t)) cannot have a constant magnitude because its components are functions of t that grow exponentially with time. Therefore, there is no such vector-valued function r(t) that satisfies the given condition.

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Given the fraction of each colored chalk, Andrea is right that less than 1/2 the chalk in the bucket is blue.

Total = 2/6 + 5/12 + 3/12

= (4+5+3) / 12

= 12/12

= 1

Fraction of blue : Total chalk

= 5/12 : 1

Blue = 5/12 ÷ 1

= 5/12 × 1/1

= 5/12

= 0.42

So,

1/2 = 0.5

Therefore, Andrea is right that less than 1/2 the chalk in the bucket is blue.

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The extended Euclidean algorithm, we have shown that there exist x,y∈G such that |x|=m and |y|=G and G=xy.

Let G be a group and m∈G an order element, where m and G are relatively prime positive integers. To prove that there exists x,y∈G such that |x|=m and |y|=G and G=xy, we can use the fact that since G and m are relatively prime, there exist integers a and b such that am + bG = 1 (by the extended Euclidean algorithm). This implies that m = (1-bG)/a and G = (1-am)/b.

Let x = (1-bG)/a and y = (1-am)/b, then since |x| = |(1-bG)/a| = m and |y| = |(1-am)/b| = G, we have that |x| = m and |y| = G.

Additionally, since xy = (1-bG)/a * (1-am)/b = 1-bG -am + (abGm)/ab = 1, we have G=xy, proving our statement.

Therefore, by using the extended Euclidean algorithm, we have shown that there exist x,y∈G such that |x|=m and |y|=G and G=xy.

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The ordered pair that is 6 vertical units away from (3,1) is given as follows:

(3,7).

The general format of an ordered pair is given as follows:

(x,y).

In which the coordinates are given as follows:

The ordered pair for this problem is given as follows:

(3,1).

The pairs that are six vertical units away are given as follows:

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Answer:

218 cm²

Step-by-step explanation:

= high × wide

= 9 × 2

= 18

= 6 × (5+3)

= 6 × 8

= 48

= 8 × (11+5+3)

= 8 × 19

= 152

area throughout

= 152 + 48 + 18

= 218 cm²

Answer:

33

Step-by-step explanation:

because a triangle measure 90 degrees so you just subtract the amount that you add and got

Answer: 11 square root of 2

Answer:

The answer is m = 8 + 2p.

m = 2n

n = 4 + p

m = 2(4 + p) = 8 + 2p

Therefore, the only formula that is also true is m = 8 + 2p.

Step-by-step explanation:

Answer:

From the given equation-

4(3p+2)−5(6p−1)=2(p−8)−6(7p−4)

⇒12p+8−30p+5=2p−16−42p+24

⇒−18p+13=−40p+8

⇒−18p+40p=8−13

⇒22p=−5

⇒p=

22

−5

.

Step-by-step explanation:

basicly what I said

The required area is 12 cm².

A rectangle is a type of parallelogram having equal diagonals.

All the interior angles of a rectangle are equal to the right angle.

The diagonals of a rectangle do not bisect each other.

The given shape is there on a centimeter square grid.

The side of each square is 1 cm.

Then, it is clear from the figure that it consists of a rectangle of dimensions 4 × 2 and one triangle having height h = 2 cm and base b = 4cm.

Now, the area of the given shape is the sum of the area of the rectangle and the triangle.

It can be written as,

Area of the shape  = Area of rectangle + Area of triangle

                               = length × breadth + 1/2 × base × height

                               = 4 × 2 + 1/2 × 4 × 2

                               = 12

Hence, the area of the given shape is 12 cm².

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The required area of the given figure is 12 squared units.

Given that,
A figure has been shown we have to determine the area of the figure,

Surface area is defined as the measure of a region or surface is called as surface area.

Here,
The area of the given figure is given as,
Area = area of the rectangle + area of the larger triangle - area of the small triangle.
Area = 2 × 4 + 1/2 [6 × 2] - 1/2 [2×2]
Area = 8 + 3×2  - 2
Area = 8 + 6 - 2
Area = 14 - 2
Area = 12 squared units.

Thus, the required area of the given figure is 12 squared units.

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Answer:

Scott always has 2 more fish per hour or S=M+2

Step-by-step explanation:

5-3 = 2, 9-7 = 2,...

For any given hour, Scott has reeled in 2 more fish compared to Megan.

We can see this by subtracting Scott's amount and Megan's amount for any row.

Because any given row has the same difference, this tells us that the slopes of each are the same.

The equation for Megan is y = 4x-1 while Scott's equation is y = 4x+1

x = number of hours, y = number of fish caught

Lines with equal slopes indicate parallel lines. If these trends keep up, then Megan will never catch Scott (she'll always be 2 fish behind him).

Answer: x = 21°

Step-by-step explanation:

37 + 4x + (3x - 4) = 180°   Original Equation

37 + 4x + 3x - 4 = 180°   Commutative Property of Addition

7x + 33 = 180°   Combine like terms

7x = 148°  Subtract 33 from both sides

x = 21°   Divide both sides by 7

The percentage of the first quiz passers who also passed the second test is (D) 75%.

To find the percent of those who passed the first quiz also passed the second quiz:

0.6x / 0.8x × 100% =  75%.

Therefore, the percentage of the first quiz passers who also passed the second test is (D) 75%.

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The correct question is given below:

A teacher gave his class two quizzes; 80% of the class passed the first quiz, but only 60% of the class passed both quizzes. What percent of those who passed the first quiz also passed the second quiz? (2 points)

(A) 20%

(B) 40%

(C) 60%

(D) 75%

The movement of a point along the coordinate geometry is referred to as translation. The  coordinates of the vertices for new quadrilateral are:

\(D' = (3,2)\)

\(E' = (8,3)\)

\(F' = (4,5)\)

\(G' = (10,6)\)

Given that:

\(D = (1,2)\)

\(E =(6,3)\)

\(F = (2,5)\)

\(G = (8,6)\)

The rule of transformation for 2 units right translation is:

\((x,y) \to(x + 2, y)\)

So, we have:

\(D' = (1+2,2)\)

\(D' = (3,2)\)

Using the above formula, the other coordinates are:

\(E' = (8,3)\)

\(F' = (4,5)\)

\(G' = (10,6)\)

Hence, the coordinates of the vertices for new quadrilateral are:

\(D' = (3,2)\)

\(E' = (8,3)\)

\(F' = (4,5)\)

\(G' = (10,6)\)

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Step-by-step explanation:

A confounding variable is a variable that affects the independent and dependent variables and may cause a false association between them. Therefore, in this case:

A. Giving males a different sports drink than females could be a confounding variable since gender may affect their performance.

C. The timing of the sports drink consumption could also be a confounding variable since it may affect the athlete's performance.

D. Giving different brands of sports drinks to the athletes can be a confounding variable since the different formulas in the sports drinks might affect the results.

Therefore, options A, C, and D represent confounding variables. Option B does not represent a confounding variable since allowing athletes to choose their preferred drink from a cooler is a valid way to ensure that each athlete is comfortable with their sports drink.

Y in represents the following in this linear regression Y = α₀+α₁X+α₂X₂+ε: C. dependent variable.

In Mathematics and Geometry, a regression line is a statistical line that best describes the behavior of a data set. This ultimately implies that, a regression line simply refers to a line which best fits a set of data.

In Mathematics and Geometry, the general functional form of a linear regression can be modeled by this mathematical equation;

Y = α₀+α₁X+α₂X₂+ε

Where:

In conclusion, Y represent the dependent variable or response variable in a linear regression.

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Answer:

$176.80

Step-by-step explanation:

$42.12 (what he had left) + 23.75 = 65.90

65.90 (Amount he had after he bought the painting) + 65.90 (The other half of his remaining money he spent on the painting) = 131.80

131.80 + 25 + 20 = 176.80

= $176.80

The growth factor in an exponential function is the constant multiplier that is used to generate the next value in a sequence. It is usually represented by the letter r or b.

The growth factor in an exponential function is a constant multiplier that is applied to each successive value in the series to generate the next value.

The growth factor is essentially the rate of growth of the exponential function, and is calculated by taking the ratio of two successive values of the function.

The growth factor is an important concept in exponential functions, as it helps describe how quickly the function is growing or decaying.

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