If the price of a dress is $40 before tax is added on, and tax is 20%, what will the final price of the dress be?.

given angle pair forms co - exterior angle pair. and are supplementary.

x + 8 + 3x + 2 = 180

4x + 10 = 180

4x = 170

x = 42.5°

Answer:

f(x)=x²-4x+2

f(-1)= (-1)²-4(-1)+2

= 1+4+2

=7

Answer:

It is 72 degrees also

Step-by-step explanation:

Please let me know if you want me to add an explanation as to why this is the answer. I can definitely do that, I just wouldn’t want to write it if you don’t want me to :)

Answer:

The last one is the answer.

The equation of the line that passes through the points (-8, 9) and (2, -6) is y = (-3 / 2)x - 3.Given two points (-8, 9) and (2, -6). We are supposed to find the equation of the line that passes through these two points.

We can find the equation of a line that passes through two given points, using the slope-intercept form of the equation of a line. The slope-intercept form of the equation of a line is given by, y = mx + b,Where m is the slope of the line and b is the y-intercept.To find the slope of the line passing through the given points, we can use the slope formula: m = (y2 - y1) / (x2 - x1).Here, x1 = -8, y1 = 9, x2 = 2 and y2 = -6.

Hence, we can substitute these values to find the slope.m = (-6 - 9) / (2 - (-8))m = (-6 - 9) / (2 + 8)m = -15 / 10m = -3 / 2Hence, the slope of the line passing through the points (-8, 9) and (2, -6) is -3 / 2.

Now, using the point-slope form of the equation of a line, we can find the equation of the line that passes through the point (-8, 9) and has a slope of -3 / 2.

The point-slope form of the equation of a line is given by,y - y1 = m(x - x1)Here, x1 = -8, y1 = 9 and m = -3 / 2.

Hence, we can substitute these values to find the equation of the line.y - 9 = (-3 / 2)(x - (-8))y - 9 = (-3 / 2)(x + 8)y - 9 = (-3 / 2)x - 12y = (-3 / 2)x - 12 + 9y = (-3 / 2)x - 3.

Therefore, the equation of the line that passes through the points (-8, 9) and (2, -6) is y = (-3 / 2)x - 3. Thus, the answer is (-3/2)x - 3.

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Answer:

3/7 (simplified)

Step-by-step explanation:

The original answer would be 6/14 because 6 out of 14 people said tennis. However, you divide both by 2 to get 3/7. The percent would be 42% if that is needed.

Identify the equation: Write down the given equation in the form |x - a| = b, where 'a' represents the number being subtracted or added and 'b' represents the absolute value.

Graphing absolute value equations on a number line is a process that involves several steps. First, you need to identify the equation and rewrite it in the form |x - a| = b, where 'a' represents the number being subtracted or added and 'b' represents the absolute value.

This form helps determine the critical points of the graph. Next, you set the expression inside the absolute value bars equal to zero and solve for 'x' to find the critical points. These points indicate where the graph may change direction. Once the critical points are determined, you plot them on the number line, using an open circle for critical points and a closed circle for any additional points obtained by adding or subtracting the absolute value.

After plotting the points, you can draw the graph by connecting them with a solid line for the portion of the graph that is positive and a dashed line for the portion that is negative. This representation helps visualize the behavior of the absolute value equation on the number line.

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Answer:

x = 110; y=65

Step-by-step explanation:

X = 110 because A||B

in the small triangle we have 45° , y° and n° ( n is the missing angle )

n + x = 180

n = 180 -110

n = 70

triangle :

70 + 45 + y = 180°

115 + y =180

y = 180 - 115

y = 65°

Answer:

n ≥ 75

Step-by-step explanation:

-81 ≥ -6 -n

+6    +6

-75 ≥ -n

divide both sides by negative 1 to get rid of the negative sign in front of the n

75 ≥ n

flip the sign because you divided by a negative

75 ≤ n

or

n ≥ 75

Hope this helps!!!

Answer:

The answer is A -60

Step-by-step explanation:

u soppost to multiply 5×-12

Answer:

To find the coordinates of P, we can use the concept of proportional division of line segments. Given that AP:BP = 2:5, it means that the ratio of the length of AP to BP is 2:5.

Let's first find the vector that represents the direction of AB, which is the vector pointing from A to B. We can find this by subtracting the coordinates of A from the coordinates of B:

(10,13) - (-4,-8) = (14, 21)

This is the vector <14,21>

Now, we can find the point P, which is located two fifths of the way from A to B, by multiplying the vector <14,21> by 2/7 and adding the result to the coordinates of A:

P = A + (2/7) * <14,21>

= (-4,-8) + (2/7) * <14,21>

= (-4,-8) + <8,6>

= (4,-2)

So, the coordinates of P are (4,-2)

We can observe that point P is two fifth of the way from A to B.

Answer:

Step-by-step explanation:

Let's assume the father's current age is F, and the son's current age is S.

Five years ago a father's age was 4 times his son's age.

This statement implies that five years ago, the father's age was F - 5, and the son's age was S - 5. According to the given information, we can set up the equation:

F - 5 = 4(S - 5)

Now, the sum of their ages is 45 years.

The sum of their ages now is F + S. According to the given information, we can set up the equation:

F + S = 45

Now we have two equations with two unknowns. We can solve them simultaneously to find the values of F and S.

Let's solve the first equation for F:

F - 5 = 4S - 20

F = 4S - 20 + 5

F = 4S - 15

Substitute this value of F in the second equation:

4S - 15 + S = 45

5S - 15 = 45

5S = 45 + 15

5S = 60

S = 60 / 5

S = 12

Now substitute the value of S back into the equation for F:

F = 4S - 15

F = 4(12) - 15

F = 48 - 15

F = 33

Therefore, the father's present age (F) is 33 years, and the son's present age (S) is 12 years.

Therefore, the degree of the resulting polynomial is m + n when two polynomials of degree m and n are multiplied together.

What is polynomial?

A polynomial is a mathematical expression consisting of variables and coefficients, which involves only the operations of addition, subtraction, multiplication, and non-negative integer exponents. Polynomials can have one or more variables and can be of different degrees, which is the highest power of the variable in the polynomial.

Here,

When two polynomials are multiplied, the degree of the resulting polynomial is the sum of the degrees of the original polynomials. In other words, if the degree of the first polynomial is m and the degree of the second polynomial is n, then the degree of their product is m + n.

This can be understood by looking at the product of two terms in each polynomial. Each term in the first polynomial will multiply each term in the second polynomial, so the degree of the resulting term will be the sum of the degrees of the two terms. Since each term in each polynomial has a degree equal to the degree of the polynomial itself, the degree of the resulting term will be the sum of the degrees of the two polynomials, which is m + n.

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Answer:

Solution: Ordering the childrens' ages from least to greatest, we get:

7,  9,  12,  13,  16

Answer: The age of the middle child is the middlemost number in the data set, which is 12.

In the problem above, we found the median of a set of 5 numbers.

The value for the hotspots of the similar triangles ∆ABC and ∆PWR are:

(1). angle B = 68°

(2). PQ = 5cm

(3). BC = 19.5cm

(4). area of ∆PQR = 30cm²

Similar triangles are two triangles that have the same shape, but not necessarily the same size. This means that corresponding angles of the two triangles are equal, and corresponding sides are in proportion.

(1). angle B = 180 - (22 + 90) {sum of interior angles of a triangle}

angle B = 68°

Given that the triangle ∆ABC is similar to the triangle ∆PQR.

(2). PQ/7.5cm = 12cm/18cm

PQ = (12cm × 7.5cm)/18cm {cross multiplication}

PQ = 5cm

(3). 13cm/BC = 12cm/18cm

BC = (13cm × 18cm)/12cm {cross multiplication}

BC = 19.5cm

(4). area of ∆PQR = 1/2 × 12cm × 5cm

area of ∆PQR = 6cm × 5cm

area of ∆PQR = 30cm²

Therefore, the value for the hotspots of the similar triangles ∆ABC and ∆PWR are:

(1). angle B = 68°

(2). PQ = 5cm

(3). BC = 19.5cm

(4). area of ∆PQR = 30cm²

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Answer:

The zeros of a function are the points where the graph of the function crosses the x-axis.

Clearly Graph in option D could be the function which has 5 zeroes as it passes through the axis at 5 points.

Step-by-step explanation:

The graph of the function will intersect the x-axis five times. Then the correct option is D.

A statement, principle, or policy that creates the link between two variables is known as a function. Functions are found all across mathematics and are required for the creation of complex relationships.

If the function f has five distinct zeros.

Then the graph represents the complete graph of the function in the xy-plane will be

We know that the zeroes of the function are the intersection points of the x-axis and the function.

That means the graph will intersect the x-axis five times.

Then the correct option is D.

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Answer: 161-80=81

(or 161-x=y?)

Step-by-step explanation:

subtract the the amount of snowballs made before Adrianna's dad called them in for lunch from the total number of snowballs (161-80)

161-80=81

The ordered pairs of the inequality expression is (0, 4)

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

The inequality expression  y>1/2x+3

To determine the ordered pairs of the inequality expression, we set x - 0 and then calculate the value of y

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

y > 1/2 * 0 + 3

Evauate

y > 3

This means that the value of y is greater than 3 say y = 4

So, we have (0, 4)

Hence, the ordered pairs of the inequality expression is (0, 4)

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Answer:

??i never did this before

Answer:

$45.72

Step-by-step explanation:

16×3=48

48×0.0475(4.75%)=2.28. <----- tax

2.28+48=45.72

Answer:

Given:

Sample size, n = 6965

Sample proportion p' = \( \frac{1330}{6965} = 0.19 \)

Let's claim that the return rate is less than​ 20%, ie, P = 0.2

Significance level = 0.01

The null and alternative hypotheses:

H0 : P = 0.2

H1 : P < 0.2

Option A is correct

_____________________________

For the test statistic, Z, let's use the formula:

\( Z = \frac{p'- P}{\sqrt{\frac{P(1-P)}{n}}} \)

\( = \frac{0.19 - 0.2}{\sqrt{\frac{0.2(1 - 0.2)}{6965}}} = -1.887 \)

Z = -1.887 ≈ -1.89

___________________________

The p-value.

This is a left tailed test.

Using z table,

P-value = P(Z ≤ -1.89) = 0.029

The pvalue is 0.029

Decision:

Because the pvalue, 0.029 is greater than level of significance, 0.01, we fail to reject null hypothesis, H0.

Conclusion:

There is not enough sufficient evidence to conclude that the return rate is less than 20%

Answer:

1/8th

10 litres

Step-by-step explanation:

Therefore, William needs to score a 97 on the third quiz to get an average of 90.

Average: The arithmetic mean is calculated by adding a set of integers, dividing by their count, and then taking the result. For instance, the result of 30 divided by 6 is 5, which is the average of 2, 3, 3, 5, 7, and 10.

The average test score is calculated by dividing the total score on an assessment by the total number of test-takers. As an illustration, if three students each obtained test scores of 69, 87, and 92, their combined scores would be totaled together and divided by three to yield an average of 82.6.

William needs to score "x" on the third quiz to get an average of 90.

The average of three quizzes can be calculated using the formula:

average = (sum of scores) / (number of scores)

To get an average of 90, William's total score on all three quizzes needs to be:

90 x 3 = 270

His current total score from the first two quizzes is:

85 + 88 = 173

So, to reach a total score of 270, William needs to score:

270 - 173 = 97

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The Interest rate of the savings account is $15

Simple interest is a technique to calculate the amount of interest charged on a sum at a given rate and for a given period of time. It is also an interest charge that borrowers pay lenders for a loan.

How to determine this

When Simple Interest = Principal * Rate * Time/ 100

Where Principal = $90,000

Rate = ?

Time = 2 years

Simple interest = $27,000

$27,000 = $90,000 * R * 2/100

$27,000 = $180,000 * R/100

Cross multiply

$27,000 * 100 = $180,000 * R

$2,700,000 = $180,000 * R

Divides through by $180,000

$2,700,000/$180,000 = $180,000 * R/$180,000

15 = R

Rate = 15%

Therefore, the Interest rate of the savings account is 15%

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Answer:

The fraction of fish in Elena’s tank that are red guppies = 3/14

Step-by-step explanation:

The best way to go about this is to select an arbitrary value for the number of fishes in the tank.

Let the total number of fishes in the tank be 84.

Now out of this 85, 1/2 are guppies

The number of guppies fish = 1/2 * 84 = 42

Now, 3/7 of the guppies are red

The number of red guppies is thus 3/7 * 42 = 18 guppies

So the fraction of fishes in the tank which are red guppies will be ; 18/84 = 3/14

Answer:

21 years

Step-by-step explanation:

Lawrence did research on many different swimmers. He graphed each swimmer with a tick on the graph. The more ticks, the higher amount of people. Because most of the ticks are on 21, If I did this right, It should be 21.

Answer:

the component form of the resultant vector is (-2, -1).

Step-by-step explanation:

To find the component form of the resultant vector, we need to add the corresponding components of the two input vectors. In this case, the x-component of the resultant vector is equal to the x-component of vector b minus the x-component of vector u, and the y-component of the resultant vector is equal to the y-component of vector b minus the y-component of vector u.

We can therefore write the component form of the resultant vector as follows:

-u + b = (-u_x + b_x, -u_y + b_y) = (-5 + 3, -2 + 1) = (-2, -1)

therefore, the component form of the resultant vector is (-2, -1).

The expression below is the kth step of unrolling f(n):

f(n) = f(n – k) + k + k-1Σ (n − i)² i=0

Given that we define f(n) for positive integers n as follows:

f(1) = 2f(n) = 1+ f(n-1) + n² for all n ≤ 2

We are to determine the expression below that is the kth step of unrolling f(n).

To obtain the expression, we will use the recursive definition of f(n):

f(n) = 1 + f(n - 1) + n²

Since the question is asking for the kth step of unrolling f(n),

let's first define a new function f_k(n) which represents the value of f(n) after k unrollings.

Then:f_0(n) = f(n)f_1(n) = 1 + f_0(n - 1) + (n - 1)² = f(n - 1) + n²f_2(n) = 1 + f_1(n - 1) + (n - 2)² = f(n - 2) + (n - 1)² + n²f_3(n) = 1 + f_2(n - 1) + (n - 3)² = f(n - 3) + (n - 2)² + (n - 1)² + n². . .f_k(n) = f(n - k) + (n - k + 1)² + (n - k + 2)² + ... + n²

The expression below is the kth step of unrolling f(n):

f(n) = f(n – k) + k + k-1Σ (n − i)² i=0,

where k represents the number of unrollings.

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Yes, the diagonals of a parallelogram bisect each other as well as the angles they intersect. This means that each diagonal divides the parallelogram into two congruent triangles and each angle formed by the intersection of the diagonals is bisected into two equal angles.

The diagonals of a parallelogram have the following properties :

They bisect each other, meaning they divide each other into two equal parts.

They do not bisect the angles of the parallelogram, meaning they do not divide the angles into two equal parts, except in some special cases such as a rectangle or a rhombus.

They divide the parallelogram into two congruent triangles, meaning the triangles have equal sides and angles.

So, the answer to your question is no, the diagonals of a parallelogram do not bisect the angles in general. However, if the parallelogram is a rectangle or a rhombus, then the diagonals do bisect the angles

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