Graph the ordered pair on the coordinate plane.

(–4,2)

Answer:

no, yes, yes , no, yes

Step-by-step explanation:

Answer:

Step-by-step explanation:

its c

The area of the region cut from the first quadrant by the cardioid is 3π/8 +1

A cardioid is a two-dimensional plane figure that has a heart-shaped curve. The equation of cardioid is r = a(1 ± sinθ) .

The area of the polar function can be calculated if the boundary condition that form the reason is given or can be found from the given information now we use the formula using the polar formula of the area as:

\(A = \int\limits^b_a {\frac{r^{2}}{2}} d\theta\)

The Area of the region cut from the first quadrant by cardioid,

\(A = \int\limits^\frac{\pi}{2}_0 {\frac{r^{2}}{2}} d\theta\)

Substituting r = 1 + sin ∅

\(A = \int\limits^\frac{\pi}{2}_0 {\frac{(1+ sin\theta)^{2}}{2}} d\theta\)

Opening square ,

\(A = \frac{1}{2}\int\limits^\frac{\pi}{2}_0 {1 +2sin\theta + sin^{2}\theta d\theta\)

=> \(A = [ \frac{1}{2} (\theta - 2cos\theta + \frac{1}{2} (\theta - \frac{1}{2}sin2\theta))]^\frac{1}{2}_{0}\)

=> 3π / 8 - (-1)

=> 3π/8 +1

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The expression are-

(a) the sum of the unknown number and 13;  (13 + m)

(b) a number that will exceed the unknown number by five;  (m + 50)

(c) the difference between 25 and the unknown number; (25 - m)

(d) the unknown number cubed; (m³)

(e) a third of the unknown number plus three;  (m/3 + 3)

(f) four times the unknown number less twice the number.  4m - 2m

= 2m.

Variables can be used to represent variable quantities such as a varying price, the number of things you want to purchase, or even a gym membership where overall prices fluctuate based on the amount of months you want to be a member, and so on.

Some characteristics of variable are-

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The complete question is-

Let the unknown number be 'm' . Write expressions for:

(a) the sum of the unknown number and 13  

(b) a number that will exceed the unknown number by five

(c) the difference between 25 and the unknown number

(d) the unknown number cubed

(e) a third of the unknown number plus three

(f) four times the unknown number less twice the number.

Answer:

-5/2

Step-by-step explanation:

slope = (difference in y)/(difference in x)

slope = (1 - 6)/[-3 - (-5)]

slope = -5/2

Answer:

-5 / 2

Step-by-step explanation:

y2 - y1 / x2 - x1

1 - 6 / -3 - (-5)

-5 / 2

The expression  that equals the fraction is option B:  \(\frac{s^7}{7r^4}\)

Algebraic expression division is referred to as the opposite operation of algebraic expression multiplication. Similar to how we divide numbers, we cancel the common terms when dividing algebraic formulas.

To solve this problem, we have to divide the expressions by one another. However, only we can only separate each and divide those with like terms. This can easily be done using division law of indices.

In the given expression

=  \(\frac{6rs^9}{42r^5s^2}\)   (divide through the numerator and denominator)

=   \(\frac{s^7}{7r^4}\)

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Answer:

f(-6) = -9

Step-by-step explanation:

here, you substitute -6 for x in the function

f(x) = 3x + 9

f(-6) = 3(-6) + 9

f(-6) = -18 + 9

f(-6) = -9

Answer:

额哈哈哈哈哈哈啊啊啊看看我看情况

Step-by-step explanation:

额哈哈哈哈哈哈哈叭叭叭那那那鸡尾酒

Answer:

Step-by-step explanation:

You had the first part of the first question correct. The answer is 100:64

The sides of the squares

Area of e = 69% more than area of area of f

e^2: f^2 = ( 1 + 69/100 ) / 1

e^2 : f^2 = (1.69)/1            Take the square root of both sides

e:f  = 1.3:1

The polar equation equivalent to the Cartesian equation x = -4 is r*cos(θ) = -4.

To rewrite the Cartesian equation x = -4 as a polar equation, follow these steps:

1. Recall the conversion formulas for Cartesian coordinates (x, y) to polar coordinates (r, θ): x = r*cos(θ) and y = r*sin(θ).
2. Replace x in the given Cartesian equation with the corresponding polar coordinate formula: -4 = r*cos(θ).

The polar equation equivalent to the Cartesian equation x = -4 is r*cos(θ) = -4.

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The mean absolute deviation for the given dataset of 3, 6, 3.8, 3.2, and 3.4 is approximately 0.996. This means that, on average, each data point in the dataset deviates from the mean by approximately 0.996.

The mean absolute deviation (MAD) measures the average distance between each data point and the mean of the dataset. To find the MAD, you need to follow these steps:

1. Calculate the mean of the dataset by adding up all the numbers and dividing the sum by the total number of data points. In this case, the dataset consists of the following numbers: 3, 6, 3.8, 3.2, and 3.4. Adding them up gives us a sum of 19.4. Dividing this sum by 5 (since there are 5 data points) gives us a mean of 3.88.

2. Find the absolute deviation for each data point by subtracting the mean from each data point and taking the absolute value. For example, for the first data point, 3, the absolute deviation would be |3 - 3.88| = 0.88. Repeat this step for all the data points.

3. Calculate the mean of the absolute deviations by adding up all the absolute deviations and dividing the sum by the total number of data points. In this case, the absolute deviations are: 0.88, 2.12, 0.72, 0.68, and 0.58. Adding them up gives us a sum of 4.98. Dividing this sum by 5 gives us a mean of 0.996.

So, the mean absolute deviation for the given dataset is approximately 0.996.


The mean absolute deviation helps us understand how much each data point varies from the mean of the dataset. By calculating the absolute deviation for each data point and finding the average, we can determine the typical amount of variation in the dataset.


The mean absolute deviation for the given dataset of 3, 6, 3.8, 3.2, and 3.4 is approximately 0.996. This means that, on average, each data point in the dataset deviates from the mean by approximately 0.996.

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12x-16/2+3x

is your answer

Answer:

12x(3 + 3x)

(3 * 12x + 3x * 12x)

(36x + 36x2)

Step-by-step explanation:

so (36x + 36x2) is the answer

To use the normal approximation for a test of two proportions, n1 p1, n1 (1 - p1), n2 p2, and n2 (1 - p2) must all be greater than or equal to 5.

This is because the normal distribution assumes that the sample size is large enough to approximate the binomial distribution, and the rule of thumb is that each cell (n1 p1, n1 (1 - p1), n2 p2, and n2 (1 - p2)) should have at least 5 expected counts. If any of these cells have fewer than 5 expected counts, then the normal approximation is not reliable and a more appropriate test should be used. It is important to note that this is just a rule of thumb, and other factors such as the size of the effect and the desired level of significance should also be considered when deciding on a statistical test.

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Answer:

Step-by-step explanation:

Look at the picture.

x - horizontal

y - vertical

left, right - horizontal

n units to the right: x + n

n units to the left: x - n

up, down - vertical

n units up: y + n

n units down: y - n

J(-4; 1)

3 units to the right: -4 + 3 = -1

2 units down: 1 - 2 = -1

J'(-1; -1)

The quantity of more flour that she needs to add would be = 3/4

A fraction is defined as the representation of the part of a whole data in a form of numerator and denominator.

The quantity of flour Ryan needs for baking = 3¼

The quantity of flour she has already added = 2½

The remaining amount that she needs to add;

= 3¼-2½

= 3/4

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Answer:

w= 27.47 degree

x=9.99 cm

y=12.02 cm

Step-by-step explanation:

The value of w:

In a right-angled triangle \(\tan \theta = \frac {\text{Perpendicular}}{\text{Base}}\)

\(\tan w = \frac {\text{Perpendicular}}{25+9}\;and \; \tan 63 = \frac {\text{Perpendicular}}{9}\)

So, \(34 \tan w = 9\tan (63)\)

\(\tan w = (9/34)\tan(63)=0.52 \\\\w=\tan^{-1}(0.52) \\\\\)

w= 27.47 degree

The value of x:

In a right-angled triangle \(\sin \theta = \frac {\text{Perpendicular}}{\text{Hypotaneous}}\)

sin (27) =x/22

x= 22sin(27)

x=9.99 cm

The value of y:

By using Pythagoras theorem,

\(y^2+y^2=17^2 \\\\2y^2 = 289 \\\\y^2 =289/2= 144.5 \\\\y=\sqrt {144.5} \\\\\)

y=12.02 cm

Answer:I think it’s C and D and she drinks 14 ounces

Step-by-step explanation:

Hope this helped

f(x) ≥ 0 over the interval [-1,1]. This can be solved by using the concept of function.

Local maxima are the points in the interval where the values of the function are always fewer than the values of the function at those points. Local minima, on the other hand, are locations where the function's values around that point are higher than its value there.

At the point when the graph of the function y = f(x) shifts from growing to decreasing, there is a local maximum. The slope of the tangent is 0 at this location. At the point when the graph switches from dropping to growing, there is a local minimum.

The ordered pairs of the given function in table are (-3,15), (-2,-5), (-1,0), (0,5), and (1,0).

It is clear from the values of f(x) with respect to x, that the function reaches zero at x = -1, then goes up to 5 at x = 0 and then again reaches zero at

x = 1.

Hence, the value of f(x) remains positive within the interval of [-1,1].

Hence, we can write f(x) ≥ 0 over the interval [-1,1].

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The number of adult tickets is 62.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

2x + 4 = 9 is an equation.

We have,

Number of child tickets = x

Number of adults tickets = y

We can make two equations.

x + y = 134 ______(1)

x = 134 - y ______(2)

6.50x + 9.60y = 1063.20 _______(3)

Putting (2) in (3) we get,

6.50(134 - y) + 9.60y = 1063.20

871 - 6.50y + 9.60y = 1063.20

871 + 3.1y = 1063.20

3.1y = 1063.20 - 871

3.1y = 192.2

y = 192.2/3.1

y = 62

Now,

x = 134 - y

x = 134 - 62

x = 72

Thus,

72 child tickets.

62 adult tickets.

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The polynomial with zeros 2, -3, and 5 and degree 3 is P(x) = x^3 - 4x^2 - 11x + 30.

To form a polynomial with given zeros and degree, you can use the following steps:

Start with the given zeros: Let's say you have the zeros a, b, c, ..., up to the degree of the polynomial.

Use the zero-factor property: The zero-factor property states that if a polynomial has a zero at a certain value, then the corresponding factor of the polynomial is (x - zero).

Write down the factors: Write down the factors based on the zeros you have. For example, if you have zeros a, b, and c, the corresponding factors would be (x - a), (x - b), and (x - c).

Multiply the factors: Multiply all the factors together to obtain the polynomial expression.

Simplify the polynomial: Simplify the polynomial by expanding and combining like terms.

Here's an example to illustrate the process:

Let's say you want to form a polynomial with the zeros 2, -3, and 5, and the degree is 3.

The corresponding factors would be (x - 2), (x + 3), and (x - 5).

Multiplying these factors together, we get:

P(x) = (x - 2)(x + 3)(x - 5)

Expanding and simplifying:

P(x) = (x^2 + 3x - 2x - 6)(x - 5)

= (x^2 + x - 6)(x - 5)

= x^3 - 5x^2 + x^2 - 5x - 6x + 30

= x^3 - 4x^2 - 11x + 30

So, the polynomial with zeros 2, -3, and 5 and degree 3 is P(x) = x^3 - 4x^2 - 11x + 30.

By following these steps, you can form a polynomial with given zeros and degree.

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Answer:

-62

Step-by-step explanation:

In this question, we are going to solve the given expression.

We know that our f(x) equation is (-7)x - 3

Since we have to find what f(4) is, we would plug in 4 to x and solve.

Solve:

f(4) = -7(4) - 3

= -28 - 3

= -31

We are not done, we have to plug in our answer to the expression f(4 + f(4), since we now know what the value of f(4) is.

-31 - 31

-62

Your answer would be -62.

Answer:

P = 646 yards

Step-by-step explanation:

The sides of a triangular field measure 45 yards 29 yard and 34 yards.

The formula that is used to find the perimeter is given by :

P = 2A+18B+C

Put A = 45, B = 29 and C = 34 to find the perimeter of the field.

P = 2(45)+18(29)+34

= 90 + 522 + 34

= 646 yards

Hence, the perimeter of the field is 646 yards.

Answer:

Step-by-step explanation:

44,52,55,55,61,82,83,83,83,87

Answer:

3

Step-by-step explanation:

Factors of 15:   1, 3, 5, 15

Factors of 6x:  1, 2, 3, 6, x

Therefore, the greatest common factor (the highest factor that they both share) is 3

Factor = f

——————

f15 = 1, 3, 5, 15

f6 = 1, 2, 3, 6, x

So the answer is 1 and 3, but we need to give the answer from the highest number. The highest number is 3.

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Answer:

The cashier received 100 envelopes

Step-by-step explanation:

let the number of stamps bought be x.

Cashier will receive 1/3 *x = x/3

Secretary will receive = 1/5 * x = x/5

Now we are told that the secretary received 40 fewer.

This means that the difference between the amounts they received is 40

Mathematically;

x/3 - x/5 = 40

2x/15 = 40

x = (15 * 40)/2 = 600/2 = 300

The cashier received x/3 = 300/3 = 100

Answer:

Cashier received 100 stamps

Step-by-step explanation:

1/3 to cashier

1/5 to secretary

Total stamps=x

Cashier=(1/3)x

Secretary=(1/5)x

Secretary received 40 fewer stamps than the cashier

Difference between cashier and secretary share=40

1/3x-1/5x=40

(2/15)x=40

40×15=2x

600=2x

x=300

Cashier=(1/3)x

=(1/3)300

=100

Answer:

a = \(\frac{7}{4}\)

Step-by-step explanation:

Using the rule of exponents

\(a^{m}\) × \(a^{n}\) = \(a^{(m+n)}\) , then

x × \(x^{\frac{3}{4} }\) = \(x^{(1+\frac{3}{4)} }\) = \(x^{(\frac{4}{4}+\frac{3}{4}) }\) = \(x^{\frac{7}{4} }\) , so

\(x^{\frac{7}{4} }\) = \(x^{a}\)

Since the bases on both sides are x, then equate the exponents.

a = \(\frac{7}{4}\)