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The approximate area of the trapezoid is determined as  13.95 unit².

The approximate area of the trapezoid is calculated as follows;

Area = ¹/₂(b₁ + b₂)h

Where;

The y-coordinates of the points on the curve at x=3/2 and x=4 is calculated as follows;

y(3/2) = - (3/2)²/2 + 3/2 + 5

y(3/2) = -9/8 + 3/2 + 5

y(3/2) = 5.375

y(4) = -4²/2 + 4 + 5

y(4) = -8 + 9

y(4) = 1

h = 5.375 - 1 = 4.375

The approximate area of the trapezoid is calculated as;

Area = ¹/₂(5.375 + 1) x 4.375

Area = 13.95 unit²

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\(\qquad\qquad\huge\underline{{\sf Answer}}☂\)

Let's solve, using Trigonometry ~

\(\qquad \sf  \dashrightarrow \: \tan(x) = \frac{54}{72} \)

\(\qquad \sf  \dashrightarrow \: \tan(x) = \frac{3}{4} \)

\(\qquad \sf  \dashrightarrow \:x = \tan { }^{ - 1} ( \frac{3}{4} ) \)

\(\qquad \sf  \dashrightarrow \:x = 37 \degree\)

Answer:

\(\displaystyle 36,9\)

Step-by-step explanation:

\(\displaystyle 1\frac{1}{3} = cot\:x \hookrightarrow cot^{-1}\:1\frac{1}{3} = x \hookrightarrow 36,869897646...° = x \\ \\ 36,9° ≈ x\)

OR

\(\displaystyle \frac{3}{4} = tan\:x \hookrightarrow tan^{-1}\:\frac{3}{4} = x \hookrightarrow 36,869897646...° = x \\ \\ 36,9° ≈ x\)

Information on trigonometric ratios

\(\displaystyle \frac{OPPOCITE}{HYPOTENUSE} = sin\:θ \\ \frac{ADJACENT}{HYPOTENUSE} = cos\:θ \\ \frac{OPPOCITE}{ADJACENT} = tan\:θ \\ \frac{HYPOTENUSE}{ADJACENT} = sec\:θ \\ \frac{HYPOTENUSE}{OPPOCITE} = csc\:θ \\ \frac{ADJACENT}{OPPOCITE} = cot\:θ\)

I am joyous to assist you at any time.

Answer:

\(d=1.28\times 10^{-6}\ g/cm^3\)

Step-by-step explanation:

The mass of a bag of sugar, m = 1 kg = 0.001 g

Length of bag, l = 9.2 cm

Width of bag, b = 6 cm

Height of the bag, h = 14.1 cm

We need to find the density of the sugar bag.

Density = mass/volume

So,

\(d=\dfrac{0.001\ g}{9.2\times 6\times 14.1\ cm^3}\\\\d=1.28\times 10^{-6}\ g/cm^3\)

So, the density of the bag is \(1.28\times 10^{-6}\ g/cm^3\).

Answer:

Step-by-step explanation:

The answer is 11 1/4

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Given the equation 3x

Answer:1. 2

2. 20

3. 5499999.5 or5500000

Step-by-step explanation:

Answer:

1. 2

2. 20

3. 5,499,999.5 = 5,500,000

Answer:

AC= 14.8cm

Step-by-step explanation:

By using formula

a²= b²+c²- 2bcCosA

Substitue the numbers into the equation

(7)²+(10)²-2 (7) (10) Cos(120)

= 219

AC= √219

AC= 14.8cm

hope this helped :)

Answer:

The common difference is 2.

Answer:

The common difference of the arithmetic sequence 14, 16, 18 is **2**.

In any arithmetic sequence, each term is equal to the previous term plus the common difference. So, the second term is equal to the first term plus the common difference. In this case, the second term, 16, is 2 more than the first term, 14. Therefore, the common difference is 2.

We can also find the common difference by subtracting any two consecutive terms in the sequence. For example, we can subtract the second term from the third term to get 18 - 16 = 2.

The common difference of an arithmetic sequence is always constant. This means that the difference between any two consecutive terms in the sequence will always be the same. In this case, the difference between any two consecutive terms is 2.

Step-by-step explanation:

Troy should include $1,200 in gross income related to his gambling activities.

Nicci claimed the standard deduction, she can exclude the $720 refund from her gross income.

For Troy, the amount he should include in gross income related to his gambling activities is the net winnings, which is calculated by subtracting his losses from his winnings.

Net Winnings = Winnings - Losses

Net Winnings = $2,500 - $1,300

Net Winnings = $1,200

Therefore, Troy should include $1,200 in gross income related to his gambling activities.

For Nicci, if she claimed the standard deduction on her 2021 tax return, she does not need to include the state refund in her gross income. State tax refunds are generally not taxable if the taxpayer did not itemize deductions in the year for which the refund is received. Since Nicci claimed the standard deduction, she can exclude the $720 refund from her gross income.

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The segment AB is a radius and the notation is ↔ AB

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

The circle

On the circle, we can see that

The segment AB goes from the center of the circle to a point on the circle

A line that goes from the center of the circle to a point on the circle is the radius of the circle

This means that the segment AB is a radius and the notation is ↔ AB

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Answer:

Step-by-step explanation:

ΔXYZ

m∠X = 52°, m∠Y = 106°, m∠Z = 180° - (106° + 52°) = 22°

\(\frac{13.2}{6.6}\) = \(\frac{17.4}{8.7}\) = 0.5

Answer:

8000 feet i think so yeah

Answer:

726

Step-by-step explanation:

The simple interest formula is as follows

AV=PV(1+it)

At time four this means that we have

AV=600(1+.042*5)

600*1.21= 726

Answer:

$726.00

Step-by-step explanation:

A = 600(1 + (0.042 × 5)) = 726

A = $726.00

The total amount accrued, principal plus interest, from simple interest on a principal of $600.00 at a rate of 4.2% per year for 5 years is $726.00.

Hope this helped

Answer:

1.)50a2−39a+38

2.)2r2+2r−10

3.)−17y+17z+24

4.)8.1q−5.5

5.)−39x2+17x

Step-by-step explanation:

Answer:

here you go

Step-by-step explanation:

1.)50a2−39a+38

2.)2r2+2r−10

3.)−17y+17z+24

4.)8.1q−5.5

5.)−39x2+17x

To calculate P(A and B), you need to use the formula for the probability of two events occurring together.

The formula is:

P(A and B) = P(A) x P(B | A) Where P(A) is the probability of event A occurring, and P(B | A) is the probability of event B occurring given that event A has already occurred.

1. Determine the probability of event A occurring. This will be your P(A) value.

2. Determine the probability of event B occurring given that event A has already occurred. This will be your P(B | A) value.

3. Multiply P(A) and P(B | A) together to get P(A and B). For example, let's say that event A is rolling a 6 on a six-sided die, and event B is flipping a coin and getting heads. The probability of event A occurring is 1/6, and the probability of event B occurring given that event A has already occurred is 1/2.

So:

P(A and B) = P(A) x P(B | A) P(A and B) = (1/6) x (1/2) P(A and B) = 1/12

So the probability of both events occurring together is 1/12.

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Answer:

Graph C

Step-by-step explanation:

They are "opposites" for each other, and aside from 0, are functions.

Son "opuestos" entre sí y, a excepción de 0, son funciones.

Answer:

f(6) = 137

Step-by-step explanation:

Plug in 6 for the x value.

f(6) = 21(6) + 11

f(6) = 126 +11

f(6) = 137

Answer:

\(f(6) = 21(6) + 11 \\ =12 6 + 11 \\ =1 37\)

I hope I helped you^_^

The answer that describes the polygon RSTU is as follows:

A quadrilateral is a polygon with 4 sides. Therefore, let's use the properties to find the name of the shape  RSTU as follows:

The polygon has 4 sides therefore, it is a quadrilateral.

The quadrilateral has opposite side parallel to each other. The opposite sides are RS and TU.

A trapezoid is a quadrilateral with only one pair of opposite side parallel to each other.

Therefore, the shapes that defines the polygon are as follows:

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The equation of line best fir is y = 1.86211x + 4.42878.

Given

The data in the table added to scatter plot and line of best fit calculated using a graphing calculator.

The linear equation is represented in the form of;

y = MX +c

Where m is the slope of the line and y and x are independent variables.

The line of best fit is:

y = 1.86211x + 4.42878

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Answer:

1.875 + 12.2.25

your mom

Answer:

x=9

Step-by-step explanation:

13x-32 and 7x+22 are equal to each other (angles) so

13x-32=7x+22

13x-7x=22+32

6x=54

x=54/6

x=9

A. 50 dollars

B. 100 dollars

C. 50+100x

Answer:

a) 50 b) 75 c) 75x+50

Step-by-step explanation:

those are correct

Unicode value of 66, which is the letter "B". Therefore, the correct answer to this question is option B: "B".

The terms you mentioned are related to the Unicode character encoding standard and the concept of evaluating expressions. When discussing the expression "A" + 1, it's essential to note that the Unicode value for the character "A" is 65.

The expression "A" + 1 is attempting to add a numerical value (1) to a character ("A"). In many programming languages, this operation is allowed, and the result would be based on the Unicode values of the characters involved. Since the Unicode value for "A" is 65, adding 1 to it would result in a new Unicode value of 66. Consequently, the evaluated expression would correspond to the character with the Unicode value of 66, which is the letter "B". Therefore, the correct answer to this question is option B: "B".

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Answer:

-350/9 (improper fraction)

-38 8/9 (mixed number)

Step-by-step explanation:

Converting to improper fractions :

    2. -8 1/3

Multiplying them :

Answer:

\(-38 \frac{8}{9}\)

Step-by-step explanation:

\(3 \frac{5}{3} \times -8 \frac{1}{3}\)

Convert to improper fractions:

\(\implies \dfrac{3 \times 3 +5}{3} \times -\dfrac{8 \times 3 +1}{3}\)

\(\implies \dfrac{14}{3} \times -\dfrac{25}{3}\)

Multiply the numerators and denominators:

\(\implies \dfrac {14 \times (-25)}{3 \times 3}\)

\(\implies -\dfrac{350}{9}\)

Convert back into a mixed number:

\(\implies -38 \frac{8}{9}\)

Answer:

f(5) = 13

General Formulas and Concepts:

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define

f(x) = x² - 12

x = 5

Step 2: Evaluate

Answer:

13

Step-by-step explanation:

replace the x with 5.

5^2-12=

25-12=13

The z-score for P(? ≤ z ≤ ?) = 0.60 is approximately 0.25.

The z-score for P(z ≥ ?) = 0.30 is approximately -0.52.

How to find the Z score

P(Z ≤ z) = 0.60

We can use a standard normal distribution table or a calculator to find that the z-score corresponding to a cumulative probability of 0.60 is approximately 0.25.

Therefore, the z-score for P(? ≤ z ≤ ?) = 0.60 is approximately 0.25.

For the second question:

We want to find the z-score such that the area under the standard normal distribution curve to the right of z is 0.30. In other words:

P(Z ≥ z) = 0.30

Using a standard normal distribution table or calculator, we can find that the z-score corresponding to a cumulative probability of 0.30 is approximately -0.52 (since we want the area to the right of z, we take the negative of the z-score).

Therefore, the z-score for P(z ≥ ?) = 0.30 is approximately -0.52.

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Answer:

The independent variable is the variable that is manipulated or changed during an experiment. In this case, the independent variable is represented by the x-values of the given points.

So, the answer would be option A: {-2, 3, 1, 5}

Step-by-step explanation:

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The function to describe the order of the mail-order company is given by f(x) = 5 +2x , {x | x ≤ 4 } .

The charge per order = $5 .

Cost of each item = $2

Cost of x items = 2x

Total cost for the order = 5 + 2x

Function to represent this situation : f(x) = 5 + 2x

Now it is given that the maximum of 4 items can be ordered.

Domain: {1,2,3,4}

At x = 1 , f(x) = $7

At x = 2 , f(x) = $9

At x = 3 , f(x) = $11

At x = 4 , f(x) = $13

Range of the function: {7,9,11,13}

A rule is referred to as a function if it produces a distinct result for each input x. In mathematics, a function is represented by a mapping or transformation.

The set of all potential values that can be passed into a function while it is specified is known as the domain. The entire set of values that the function's output is capable of creating is referred to as the "range."

The range of potential values for a function's outputs is known as the co-domain.

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Answer:

Domain: {1, 2, 3, 4}

Range: {7, 9, 11, 13}

Step-by-step explanation: