What does it mean to multiply 4 into 9895

Answer:

Step-by-step explanation:

im guessing youre finding the price of the favour.

(305-265)/8=answer

"/" means divide.

Answer:

The number is 4

Step-by-step explanation:

17 - 5 = 12

12 ÷ 3 = 4

Answer:

4

Step-by-step explanation:

17-5=12

4x3=12

Answer:

25

Step-by-step explanation:

They are relevant

3x=75

x=75/3

x=25

Answer:91%

Step-by-step explanation:

Answer:

The investment firm's total profit is $4,000

Step-by-step explanation:

The Profit from Company A = 11% * $8,000

= 11 * $8,000/100

= $880

The Profit from Company B = 13% * $24,000

= 13 * $24,000/100

= $3,120

The total profit = $880 + $3120

= $4,000

Thus, the investment firm's total profit is $4,000

The triangle ABC has angles A ≈ 40.1 degrees, B ≈ 29.9 degrees, and C ≈ 110 degrees, with side lengths a = 34, b = 19, and c = 22.

To solve the triangle ABC with given side lengths a = 34, b = 19, and c = 22, we can use the Law of Cosines and Law of Sines.

1. To find angle A, we can use the Law of Cosines:

cos(A) = (b^2 + c^2 - a^2) / (2bc)

cos(A) = (19^2 + 22^2 - 34^2) / (2 * 19 * 22)

cos(A) = (361 + 484 - 1156) / (836)

cos(A) = (689) / (836)

A ≈ 40.1 degrees

2. To find angle B, we can use the Law of Cosines:

cos(B) = (a^2 + c^2 - b^2) / (2ac)

cos(B) = (34^2 + 22^2 - 19^2) / (2 * 34 * 22)

cos(B) = (1156 + 484 - 361) / (1484)

cos(B) = (1279) / (1484)

B ≈ 29.9 degrees

3. To find angle C, we can use the fact that the sum of angles in a triangle is 180 degrees:

C = 180 - A - B

C ≈ 180 - 40.1 - 29.9

C ≈ 110 degrees

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Answer:

Explanation:

Step 1. Let h be the height of the cone:

and let d be the diameter of the circle:

From the diameter we can find the radius of the circle:

Step 2. To find the volume of a cone we use the following formula:

Step 3. Substituting the values of r and h into the formula:

Solving the operations:

The result is:

The volume is pi cubic miles.

Answer:

After finding the z score, total 49.865% you could expect to score between 60 and 120.

Math exams mean(μ) = 120

Math exams standard deviation(σ) = 20

We have to determine the percent you could expect to score between 60 and 120.

The area total included to the left of any score or value is indicated in the Z-score table (x). The top row and the first column of the Z-table represent the Z-values, while all of the numbers in the middle represent the areas.

P(60 < x < 120) = P((60 - 120)/20 < (x - μ)/σ < (120 - 120)/20)

Simplifying

P(60 < x < 120) = P((-60)/20 < (x - μ)/σ < 0/20)

P(60 < x < 120) = P(-3 < Z < 0)

We can write this as

P(60 < x < 120) = P(Z > -3) - P(Z < 0)

P(60 < x < 120) = 0.99865 - 0.5

P(60 < x < 120) = 0.49865

P(60 < x < 120) = 49.865%

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Answer:

(2x-5)(3x+1)

Step-by-step explanation:

make brackets:

(    )(    )

(    )(    )

we no that since there is two minuses in the trinomial there will be one - and one +

there are two beacause 6 is 6*1 and 2*3

(2x-   )(3x+  )

(6x+  )(1x-    )

now use some ingenuity to find where 5 and 1 should go to complete

(2x-5)(3x+1)

(2x+5)(3x-1)

(2x-1)(3x+5)

(2x+1)(3x-5)

the first binomial is the answer

2x*3x = 6x^2

-5*+1 = -5

2x*1 = 2x

3x*-5 = -15x

6x^2 +2x - 15x - 5

6x^2 - 13x - 5

Trả lời:

86 và 91

Giải thích từng bước:

Cho hai số là x và y. Nếu tổng của chúng là 177, thì;

x + y = 177 ... 1

Nếu 17 bị trừ đi số đầu tiên, nó được biểu thị là x - 17

Nếu 25 được thêm vào số thứ hai l, nó được biểu thị bằng y + 25

Nếu số thứ nhất bây giờ bằng 2/3 số thứ hai, thì:

x-17 = 2/3 (y + 25) .... 2

Từ 1, x = 177-y ... 3

Thay thế 3 thành 2

177-y-17 = 2/3 (y + 25)

160-y = 2/3 (y + 25)

3 (160-y) = 2 (y + 25)

480-3y = 2y + 50

-3y-2y = 50-480

-5y = -430

y = 430/5

y = 86

Vì x = 177-y

x = 177-86

x = 91

Do đó hai số là 86 và 91

Answer: r = (V/(2π))¹/³ and h = V/(πr²)

To find the dimensions that will use the least material for a right circular cylinder with a given volume, follow these steps:

1. Recall the formula for the volume of a right circular cylinder: V = πr²h, where V is the volume, r is the radius, and h is the height.

2. We want to minimize the surface area (material used) for a given volume. The surface area of a cylinder is given by the formula: A = 2πr² + 2πrh.

3. To minimize the surface area, we'll use calculus. Differentiate the surface area formula with respect to r, and set the resulting equation to zero. To eliminate h from the equation, substitute the volume formula: h = V/(πr²).

4. Differentiate the surface area formula: dA/dr = 4πr - 2V/r².

5. Set dA/dr = 0 and solve for r: 4πr - 2V/r² = 0.

6. Rearrange the equation: r³ = V/(2π).

7. Solve for r: r = (V/(2π))¹/³.

8. Now, find the height h by substituting the r value into the volume formula: h = V/(πr²).

9. Calculate the dimensions using the given volume with the found r and h values.

In summary, the dimensions of the right circular cylinder with the least material for a given volume can be found by solving for r and h using the formulas r = (V/(2π))¹/³ and h = V/(πr²).

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The $2,500 Damon estimates he needs and the equation; y = 500 + 400·x for finding the number of months of savings required indicates that in step 4, Damon used the division property of equality. The true statement is therefore;

C. Damon used the division property of equality in step 4

The division property of equality states that the division of both sides of an equation by the same real number which is not zero, the quotients obtained are also equal.

The Damon's work to calculate the number of months of savings it will take to reach the goal of $2,500 for his vacation trip is presented as follows;

Step 1: y = 500 + 400·x

Step 2: y - 500 = 500 + 400·x - 500

Step 3: y - 500 = 400·x

Step 4: (y - 500)/(400) = 400·x/400

Step 5: (y - 500)/400 = x

Step 6: (2,500 - 500)/400 = x

Step 7: 5 = x

Therefore; Damon used the subtraction property of equality in step 2

Damon used the division property of equality in step 4

Damon used the substitution property of equality in step 6

The true statement is therefore; Damon used the division property of equality in step 4

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The indicated probability is 0.07548.

The binomial distribution is the probability of x successes on n trials, with p probability of a success on each trial. It can be approximated to the normal distribution with , as long as .

\(E(X) = np\\\\Var(X) = np(1-p)\)

we have that:

n = 84, p = 0.4: P(X> 26)

np = 84 x 0.4 = 33.6

n(1 - p) = 84 x 0.6 = 50.4 .

we can use the online binomial probability distribution calculator :

P(X≥ 26 ) = 0.07548

Hence the indicated probability is 0.07548.

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The total number of cups of water used by 12 students can be determined by adding up the amount of water used by each student. Adding up all the amounts, we get:

8 + 1 + 1 + 4 + 3 + 8 + 1 + 2 + 5 + 8 + 3 + 4 = 48 cups

Alternatively, we can use multiplication to determine the total number of cups of water used by 12 students. We can multiply the average amount of water used per student (4 cups) by the total number of students (12):

4 cups/student × 12 students = 48 cups

Both methods give us the same result of 48 cups.

The table provided shows the amount of water used by 12 students. To find the total amount of water used, we can simply add up all the amounts.

This gives us the main answer of 48 cups. Alternatively, we can use multiplication by multiplying the average amount of water used per student (4 cups) by the total number of students (12). Both methods give us the same result of 48 cups.

Using addition is a straightforward way of determining the total amount of water used, as we simply add up all the amounts. However, using multiplication can be helpful when we have a large number of data points to work with, as it can be more efficient than adding up each individual value.

In this case, since we only have 12 data points, using addition is just as efficient as using multiplication.

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The value of CY is 4.4

Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion. The ratio of corresponding sides of similar triangles are equal.

Triangle ABC is similar to AXY

therefore,

represent CY is by x

9/9+4 = 10/(10+x)

= 9/13 = 10/10+x

= 13× 10 = 9( 10+x)

130 = 90 + 9x

9x = 130-90

9x = 40

x = 40/9

x = 4.44

therefore the value of CY is 4.44

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Standard form of the quadratic function is,

⇒ y = 4x² - 32x + 28

An algebraic equation with the second degree of the variable is called an Quadratic equation.

We have to given that;

The quadratic equation is,

⇒ y = 4 (x - 7) (x - 1)

Now, We can simplify the equation in standard from as;

⇒ y = 4 (x - 7) (x - 1)

⇒ y = 4 (x² - x - 7x + 7)

⇒ y = 4 (x² - 8x + 7)

⇒ y = 4x² - 32x + 28

Thus, The standard form is,

⇒ y = 4x² - 32x + 28

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Answer:

C = 22cm

Step-by-step explanation:

If the radius equals to 11, then the diameter is 22 since the diameter is double of radius. They told us to use π, so the answer is 22π.

Answer:

200

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

pls follow me now now I help

A criteria for construction of triangle include the following: B. SAS.

In Mathematics, a triangle can be defined as a two-dimensional (2D) geometric shape that comprises three (3) sides, three (3) vertices and three (3) angles only.

Generally speaking, the side, angle, side (SAS) criterion is essential for the construction of any triangle such as the following:

Based on the side, angle, side (SAS) criterion, a statement which is necessary to prove that two (2) triangles are congruent is that one of its side must be equal to another side because their angles are equal in measure or magnitude.

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Answer: x = -5, y = 1

Step-by-step explanation:

These are simultaneous equations

I will use the substitution method

BTW [1] means the top equation, and [2] the bottom equation

Rearrange [2] for x

-x = -4 + 9y

x = 4 - 9y

Substitute 4 - 9y into [1]

3(4 - 9y) - 2y = -17

Expand the bracket

12 - 27y - 2y = -17

Simplify

12 - 29y = -17

Rarrange for y

12 = 29y - 17

29y = 12 + 17 = 29

Now substitute y into either equation to solve for x

I will use [2] as it looks easier

-x - 9(1) = -4

Expand the bracket

-x -9 = -4

-x = 5

Now lets substitute x and y into [1] to check our answer

3(-5) - 2(1) = -17

-15 - 2 = -17

Answer:

24

Step-by-step explanation:

dont exaclty have an explanations - its just the calculations

The solution of expression is,

⇒ (6 + a⁴b) / a²b²

We have to given that,

An expression to solve is,

⇒ 6/a²b² + a²/b

Since, Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Now, WE can simplify the expression as,

⇒ 6/a²b² + a²/b

Take LCM;

⇒ (6 + a² × a²b)  / a²b²

⇒ (6 + a⁴b) / a²b²

Therefore, The solution of expression is,

⇒ (6 + a⁴b) / a²b²

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Answer:

795 toys

Step-by-step explanation:

if she gives away 25 toys each week for 22 weeks, that will be a total of 550 toys in 22 weeks

And now we simply minus 550 from 1345 to get 795 toys remaining after 22 weeks

The simplified Boolean expression for F = A'C(A'BD)' + A'BC'D' + AB'C is F = A'B + AB'C.

To simplify the given Boolean expression, we can use Boolean algebra laws and rules. Let's break down the simplification step by step:

Distributive Law: Apply the distributive law to the first term A'C(A'BD)' = A'CA'D' + A'CB'D'.

This simplifies to A'D' + A'CB'D'.

Distributive Law: Apply the distributive law to the second term A'BC'D' = A'BC'D'.

This remains unchanged.

Combining like terms: Combine the terms A'D' and A'CB'D'. They share the factor A'D', so we can write them as A'D' + A'CB'D' = A'D'(1 + CB').

This simplifies to A'D'.

Combining like terms: Combine the terms A'BC'D' and A'D'. They both have the factor A'D', so we can write them as A'BC'D' + A'D' = A'D' + A'BC'D'.

This simplifies to A'D'.

Combining like terms: Combine the simplified terms A'D' and AB'C. They share the factor A', so we can write them as A'D' + AB'C = A'(D' + BC).

This simplifies to A'B + AB'C.

Therefore, the simplified Boolean expression for F is F = A'B + AB'C.

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Step-by-step explanation:

Distance between two points = √(x2-x1)² + (y2-y1)²

A(4,-2) and B(4,0)

= √(4-4)² + (0+2)²

= √0² + 2²

= √4

= 2j

The measure that would most correctly answer this question is standard deviation.

What is standard deviation?

The standard deviation is measure of how spread out data from mean.

Step-by-step explanation:

Average age of respondents in a survey is \(49\) years. Researcher interested in finding out if most respondents are close to \(49\) years or not.

Hence here measures of dispersion fact will be used.

Measures of dispersion are range and standard deviation.

Range is nothing but the difference between maximum and minimum values of the data.

Standard deviation gives proper idea about how far the data values are scattered from the mean point \(49\) years.

Therefore the correct option is standard deviation.

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