help me please on this please open the whole photo so you can see other problems ​

Answer:

-27

Step-by-step explanation:

5(-3)^3(5)^-1

5(-27)(1/5)

-135(1/5)

-135/5

-27

Hopes this helps please mark brainliest

The expression that is always equivalent to sin x when 0° < x < 90° is (1) cos (90° - x). Option 1

To understand why, let's analyze the trigonometric functions involved. In a right triangle, the sine of an angle is defined as the ratio of the length of the side opposite the angle to the length of the hypotenuse. Since we are considering angles between 0° and 90°, we can guarantee that the side opposite the angle will always be the shortest side of the triangle, and the hypotenuse will be the longest side.

Now let's examine the expression cos (90° - x). The cosine of an angle is defined as the ratio of the length of the side adjacent to the angle to the length of the hypotenuse. In a right triangle, when we subtract an angle x from 90°, we are left with the complementary angle to x. This means that the remaining angle in the triangle is 90° - x.

Since the side adjacent to the angle 90° - x is the same as the side opposite the angle x, and the hypotenuse is the same, the ratio of the adjacent side to the hypotenuse remains the same. Therefore, cos (90° - x) is equivalent to sin x for angles between 0° and 90°.

On the other hand, options (2) cos (45° - x) and (3) cos (2x) do not always yield the same value as sin x for all angles between 0° and 90°. The expression cos x (option 4) is equivalent to sin (90° - x), not sin x.

Option 1 is correct.

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The value of the side y is 3√3. Option C

It is crucial to note the different types of trigonometric identities.

They are;

From the diagram shown, we have that;

The angle θ = 60 degrees

The opposite side = y

The adjacent side = 3

Let's use the tangent identity

tan 60 = y/3

Find the value

√3 = y/3

cross multiply

y = 3√3

Hence, the value is 3√3

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Answer:

5/18 of a semicircle

5π/18 radians

Step-by-step explanation:

50/180 = 5/18 of a semicircle

5π/18 radians

Answer:

7.6

Step-by-step explanation:

calculator

Answer:

45 cm2

Step-by-step explanation:

your welcome I guess?

im doing the same test btw

EDIT: i finished my test this answer is wrong. pls do search for a different answer.  because mine is wrong.

Answer:

[Not enough information, but I will make a scenario]

If there is a scenario where there is a bag, 4 red marbles and 12 green marbles. The ratio of red to green will be 4:12, or 1:3

Step-by-step explanation:

Answer:

252

Step-by-step explanation:

I'm assuming the people are different, so it should be 10 choose 5, or 10!/(5!)(10-5)!, which leads to 3628800/14400, or 252.

What is the data set?

Post it in the comments... PLZ

Step-by-step explanation:

we need to calculate the distances between the points as the side lengths of the triangle.

these side lengths must satisfy the Pythagoras principle :

c² = a² + b²

with c being the Hypotenuse (side opposite of the 90° angle) and the longest of the 3 sides, a and b being the legs.

the distance between 2 points is again calculated via Pythagoras, as the coordinate differences (= the legs) with the distance as Hypotenuse create right-angled triangles.

this is then caked the distance formula, but it is all Pythagoras again.

AB² = (xB - xA)² + (yB - yA)² = (6 - -2)² + (2 - 2)² =

= 8² + 0² = 8²

AB = 8

AC² = (0 - -2)² + (6 - 2)² = 2² + 4² = 4 + 16 = 20

AC = sqrt(20)

BC² = (0 - 6)² + (6 - 2)² = (-6)² + 4² = 36 + 16 = 52

BC = sqrt(52)

as sqrt(20) is a little bit more than 4, and sqrt(52) is a little bit more than 7, 8 is the longest side and Hypotenuse.

if this is a right-angled triangle, then

8² = sqrt(20)² + sqrt(52)²

must be true.

but

64 = 20 + 52 = 72

is wrong.

so, the segments do not form a right-angled triangle.

Answer:

150*2/3=100

take school size then multiply it by the ratio to get the amount of student who prefer such toothpaste.

Step-by-step explanation:

Answer:

Step-by-step explanation:

1.50 / 6

0.25

Answer:

≈19974 grams per cubic meter.

The required density in grams per cubic meter is 19895 g / m³.

Given that,
The density of a certain material is such that it weighs 8 ounces for every 3 gallons of volume. Express this density in grams per cubic meter, round your answer to the nearest whole number, is to be determined

Volume is defined as the ratio of the mass of an object to its density. And that space is occupied by an object in the space.

Here,
1 gallon = 0.0038 m³
3 gallon = 0.0114 m³
Volume = 0.0114 m³

Mass =

1 ounce = 28.35 g
8 ounce = 8 * 28.35
8 ounce = 226.8 g
Mass = 226.8 g

density = mass / volume
            = 226.7 / 0.0114
            ≈ 19895 g / m³

Thus, the required density in grams per cubic meter is 19895 g / m³.

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The volume expression for the box is 1.728lwh and it means that the volume increases by 72.8%

The complete question is added at the end of this solution

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

Length = l

Width = w

Height = h

The volume of a box can be calculated using

Volume = lwh

Rewrite the volume equation as

v = lwh

When the dimensions of the box are increased by 20%, we have the following expressions

Length = 1.2l

Width = 1.2w

Height = 1.2h

So, the new volume is

V = 1.2l * 1.2w * 1.2h

Evaluate

V = 1.728lwh

Hence, the expression is 1.728lwh

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A food company sells its corn flakes in boxes of two different sizes: the regular box and the family value box. For the family value box, the length, width, and height of the box have all been increased by 20%.

Determine the expression for the new volume

Answer:

21,866,655ㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤ

Answer: 21866655

Step-by-step explanation:

Answer:

Hello,

Step-by-step explanation:

\(f(x)=y=\dfrac{1}{14} *x-19\\\\x=\dfrac{1}{14} *y-19 \ (swapping\ x\ and\ y)\\\\\dfrac{1}{14} *y=x+19\\\\y=(x+19)*14\\\\y=14x+266\\\)

\(\boxed{f^{-1}(x)=14*x+266}\)

The area of the pen is the products of its dimensions

Let the dimension of the fence be x by y.

So, we have:

\(\mathbf{2x + 5y = 1200}\) --- perimeter

\(\mathbf{Area =xy}\) -- area

Subtract 5y from both sides of \(\mathbf{2x + 5y = 1200}\)

\(\mathbf{2x = 1200 - 5y}\)

Divide both sides by 2

\(\mathbf{x = \frac{1200 - 5y}{2}}\)

Substitute \(\mathbf{x = \frac{1200 - 5y}{2}}\) in \(\mathbf{Area =xy}\)

\(\mathbf{Area = \frac{1200 - 5y}{2} \times y}\)

\(\mathbf{Area = \frac{1200y - 5y^2}{2}}\)

Split

\(\mathbf{Area = 600y - \frac{5}{2}y^2}\)

Differentiate

\(\mathbf{A' = 600 -5y}\)

Set to 0

\(\mathbf{600 -5y = 0}\)

Add 5y to both sides

\(\mathbf{5y = 600}\)

Divide both sides by 5

\(\mathbf{y = 120}\)

Substitute \(\mathbf{y = 120}\) in \(\mathbf{x = \frac{1200 - 5y}{2}}\)

\(\mathbf{x = \frac{1200 - 5 \times 120}{2}}\)

\(\mathbf{x = \frac{1200 - 600}{2}}\)

\(\mathbf{x = \frac{600}{2}}\)

\(\mathbf{x = 300}\)

Recall that:

\(\mathbf{Area =xy}\)

So, we have:

\(\mathbf{Area = 300 \times 120}\)

\(\mathbf{Area = 36000}\)

Hence, the maximum area of the pen is 36000 square feet.

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Answer:

168 adult tickets

Step-by-step explanation:

3.75(82) (82 students)

307.5

2071.5 - 307.5 ( you subtract since you only need to know the number of adults)

1764

1764/10.5 (you divide since each adult is 10.5$)

168

The number of adult tickets sold was 168.

Given that, the tickets cost $10.50 for adults and $3.75 for students. The ticket sales for opening night totaled $2071.50.

Total number of students =82

In algebra, a system of equations comprises two or more equations and seeks common solutions to the equations. "A system of linear equations is a set of equations which are satisfied by the same set of variables."

a is the number of adult tickets sold and b is the number of student tickets sold.

Now, 10.50a+3.75b=2071.50

Put b=82 in the equation 10.50a+3.75b=2071.50 and simplify.

10.50a+3.75×82 =2071.50

⇒10.50a+3.75×82 =2071.50

⇒10.50a+307.5 =2071.50

⇒10.50a=1,764

⇒a=168

Therefore, the number of adult tickets sold was 168.

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Answer:

9+c is the sum of 9 and c

Step-by-step explanation:

hope it help you

3. The volume of the Pringle Chips container is approximately 2034.72 cubic inches.

4. The cake takes up approximately 7317 cubic inches of space.

5. The volume of foam in the model of the volcano is approximately 7234.08 cubic centimeters.

1. The units for Volume are always cubed.

2. Volume is the amount of space an object takes up. True.

3. To calculate the volume of the Pringle Chips container, we need to find the volume of a cylinder. The formula for the volume of a cylinder is V = πr^2h, where π is a constant (approximately 3.14), r is the radius, and h is the height. Given that the diameter is 9 inches, the radius would be half of that, which is 4.5 inches. Substituting the values into the formula, we have:

V = 3.14 * (4.5)^2 * 32

V = 3.14 * 20.25 * 32

V ≈ 2034.72 cubic inches

4. To find the volume of the 3-tier cake, we need to find the volume of each tier separately and then add them together. Since all the tiers are cylinders, we can use the formula V = πr^2h.

Tier 1:

V1 = 3.14 * (12)^2 * 10 = 4521.6 cubic inches

Tier 2:

V2 = 3.14 * (8)^2 * 10 = 2010.4 cubic inches

Tier 3:

V3 = 3.14 * (5)^2 * 10 = 785 cubic inches

Total volume:

Total V = V1 + V2 + V3

Total V = 4521.6 + 2010.4 + 785

Total V ≈ 7317 cubic inches

5. To find the volume of the Styrofoam model of the volcano, we can use the formula for the volume of a cone, V = (1/3)πr^2h. Given that the diameter is 48 centimeters, the radius would be half of that, which is 24 centimeters. Substituting the values into the formula, we have:

V = (1/3) * 3.14 * (24)^2 * 12

V = (1/3) * 3.14 * 576 * 12

V ≈ 7234.08 cubic centimeters

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To find the fraction of pocket money left after spending on transport and fruit, we need to subtract the amount spent from the total pocket money and express it as a fraction.

The student spends 18 out of 35 of his pocket money, which means he has (35 - 18) = 17 units of his pocket money left.

Therefore, the fraction of pocket money left can be written as 17/35.

The statements supported by the data in the table are:

The mean number of cars sold in a month is the same at both dealerships.

The total number of cars sold is the same at both dealerships.

The data for Admiral Autos shows greater variability.

To determine which statements are supported by the data in the table, let's analyze the given information:

The mean number of cars sold in a month is the same at both dealerships.

To calculate the mean, we need to find the average number of cars sold each month at each dealership.

For Admiral Autos:

(4 + 19 + 15 + 10 + 17) / 5 = 65 / 5 = 13

For Countywide Cars:

(9 + 17 + 14 + 10 + 15) / 5 = 65 / 5 = 13

Since both dealerships have an average of 13 cars sold per month, the statement is supported.

The median number of cars sold in a month is the same at both dealerships.

To find the median, we arrange the numbers in ascending order and select the middle value.

For Admiral Autos: 4, 10, 15, 17, 19

Median = 15

For Countywide Cars: 9, 10, 14, 15, 17

Median = 14

Since the medians are different (15 for Admiral Autos and 14 for Countywide Cars), the statement is not supported.

The total number of cars sold is the same at both dealerships.

To find the total number of cars sold, we sum up the values for each dealership.

For Admiral Autos: 4 + 19 + 15 + 10 + 17 = 65

For Countywide Cars: 9 + 17 + 14 + 10 + 15 = 65

Since both dealerships sold a total of 65 cars, the statement is supported.

The range of the number of cars sold is the same for both dealerships.

The range is determined by subtracting the lowest value from the highest value.

For Admiral Autos: 19 - 4 = 15

For Countywide Cars: 17 - 9 = 8

Since the ranges are different (15 for Admiral Autos and 8 for Countywide Cars), the statement is not supported.

The data for Admiral Autos shows greater variability.

To determine the variability, we can look at the range or consider the differences between each data point and the mean.

As we saw earlier, the range for Admiral Autos is 15, while for Countywide Cars, it is 8. Additionally, the data points for Admiral Autos are more spread out, with larger differences from the mean compared to Countywide Cars. Therefore, the statement is supported.

Based on the analysis, the statements supported by the data are:

The mean number of cars sold in a month is the same at both dealerships.

The total number of cars sold is the same at both dealerships.

The data for Admiral Autos shows greater variability.

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Answer:

------------------------

Find the slope of AB:

Use point-slope form and point A(2, 4) to determine the line:

Multiply both sides by 9 to clear fraction:

Open parenthesis and convert the equation into ax + by + c = 0:

Answer:

C. I and III

Step-by-step explanation:

The 2 at the upper left means the divisor is x - 2.

The result at the bottom means the quotient is 3x^2 - 4x + 2.

Answer: C. I and III

Answer:

her goal is to have money 21250

I hope it helps u

9514 1404 393

Answer:

  f(x) = x^6 -10x^5 +89x^4

Step-by-step explanation:

For a given zero p with multiplicity n, one of the factors of the polynomial will be (x -p)^n. If the polynomial has real coefficients, then the complex zeros come in conjugate pairs.

The factored form of your polynomial is ...

  f(x) = (x -(5 -8i))(x -(5 +8i))(x -0)^4

  f(x) = ((x -5)^2 -(8i)^2)(x^4) = (x^2 -10x +89)(x^4)

  f(x) = x^6 -10x^5 +89x^4

Using the binomial distribution, it is found that the probabilities are given by:

a) 0.8681 = 86.81%.

b) 0.1319 = 13.19%.

The formula is:

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

The parameters are:

In this problem, we have that:

Item a:

The probability is P(X = 7), hence:

P(X = 7) = 0.98^7 = 0.8681 = 86.81%.

Item b:

The probability is:

P(X < 7) = 1 - P(X = 7) = 1 - 0.8681 = 0.1319 = 13.19%.

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Answer:

Step-by-step explanation:

15+5x=20x

   -5x  -5x  => Subtract 5x from each side

You get

15 = 15x

Divide both sides by 15

1=x