I need help please I’ll give extra points

Answer:

5 1/4

Step-by-step explanation:

To convert into an improper fraction, we times the whole number by the denominator and then add the numerator. For the first number, it is 15/4 and the second number is 7/5. Then we multiply 15/4 and 7/5 to get 5 1/4.

Answer:

99/5

Step-by-step explanation:

CONVERT INTO:

33/4 x 12/5

MULTIPLY THE FRACTIONS:

(33x12)

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

5

CANCEL TERMS:

(33x3)

-----------

5

SIMPLIFY:

99/5

If money 0.08 or 8% compound interest annually, then Marilou makes a lot of money of 834,323.90 annually.

Compound Interest rate:

Compound interest is interest on savings calculated on the original principal amount or money and accrued interest from previous periods.

The power of "interest plus interest" or compound interest is thought to have its origins in 17th century Italy. This will increase faster than simple interest, which is calculated on the principal only.

Capitalization increases capital at an accelerated rate, the more periods of capitalization, the greater the capitalization.

Because the payments are made monthly and the interest rate is compounded annually, we must convert the interest rate from annual compound to monthly compound.

Given that:

Php = 10000/ month

Duration 10 years.

Now,

If the interest rate is 8% annually then,

8% = 1 + 0.08 =1.08¹⁾¹²

= 1.00643403011 - 1 x 12 x 100=

7.720% compounded monthly.

And also,

PV = 0;  P = 10000; R = 0.07720836132 / 12;

N = 10× 12; P× (1 + R)ⁿ⁻¹)× ((1 + R)⁻ⁿ)× R⁻¹)

And,

Present Value = 834,323.90.

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When a rectangle is rotated about the y-axis, it creates a solid shape known as a cylindrical shell or a hollow cylinder.

When a rectangle is rotated about the y-axis, each point on the rectangle traces a circular path.  

The resulting shape is a solid formed by the collection of these circular paths, creating a cylindrical shell or a hollow cylinder.

The height of the cylinder corresponds to the length of the rectangle, while the circumference of the cylinder corresponds to the width of the rectangle. The rotation about the y-axis gives the shape a cylindrical appearance, with the y-axis running through the center.

This shape is often used in calculus and geometry to calculate volumes and solve related problems. It is important to note that the rotation about the y-axis assumes that the longer side of the rectangle is aligned parallel to the y-axis.

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When a rectangle is rotated about the y-axis, it creates a solid shape known as a cylindrical shell or a hollow cylinder.

When a rectangle is rotated about the y-axis, each point on the rectangle traces a circular path.  

The resulting shape is a solid formed by the collection of these circular paths, creating a cylindrical shell or a hollow cylinder.

The height of the cylinder corresponds to the length of the rectangle, while the circumference of the cylinder corresponds to the width of the rectangle. The rotation about the y-axis gives the shape a cylindrical appearance, with the y-axis running through the center.

This shape is often used in calculus and geometry to calculate volumes and solve related problems. It is important to note that the rotation about the y-axis assumes that the longer side of the rectangle is aligned parallel to the y-axis.

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In the given situation the given prediction on the amount of cheese consumed would be considered an interpolation.

Interpolation is a sort of estimating used in the mathematical discipline of numerical analysis.

It is a technique for creating (finding) new data points depending on the range of a discrete set of known data points.

In engineering and research, it is common to have several data points that, by sampling or experimentation, indicate the values of a function for a small set of independent variable values.

Interpolation, or estimating the value of that function for an intermediate value of the independent variable, is frequently necessary.

The difficulty of approximating a complex function by a simple function is closely related.

Consider a function whose formula is known but is too complex to evaluate effectively.

Therefore, in the given situation the given prediction on the amount of cheese consumed would be considered an interpolation.

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Correct question:

If you were going to use this model to estimate the amount of cheese consumed per person in 1976, would that prediction be considered interpolation or extrapolation?

Where is the question ???

Step-by-step explanation:

3000  ml   /   150 ml/hr =  20 hrs from 0800   would be 0400 the NEXT day.

The answers, rounded to the appropriate number of significant figures, are as follows:

(a) 1.088 ×\(10^2\)

(b) 2.132

(c) 1.3331 ×\(10^1\) and

(d) 1.05.

Let's calculate the answers to the given operations using the appropriate number of significant figures.

(a) 8.370×1.3×10

To perform this multiplication, we multiply the decimal numbers and add the exponents of 10:

8.370 × 1.3 × 10 = 10.881 × 10 = 1.0881 × \(10^2\)

Since the original numbers have four significant figures, we round the final answer to four significant figures:

1.088 × \(10^2\)

(b) 4.265/2.0

For division, we divide the decimal numbers:

4.265 ÷ 2.0 = 2.1325

Since both numbers have four significant figures, the answer should be rounded to four significant figures:

2.132

(c) (1.2588×\(10^3\))×(1.06×\(10^-^2\))

To multiply these numbers, we multiply the decimal numbers and add the exponents:

(1.2588 × \(10^3\)) × (1.06 × \(10^-^2\)) = 1.333128 × \(10^1\)

Since the original numbers have five significant figures, we round the final answer to five significant figures:

1.3331 × \(10^1\)

(d) \((1.11)^(^1^/^2^)\)

To calculate the square root, we raise the number to the power of 1/2:

\((1.11)^(^1^/^2^)\)= 1.0524

Since the original number has three significant figures, the answer should be rounded to three significant figures:

1.05

It's important to note that the significant figures in a result are determined by the original data and the operations performed. The final answers provided above reflect the appropriate number of significant figures based on the given information and the rules for significant figures.

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Answer:

Step-by-step explanation:

we know that the sum of the angles in a triangle=180

87+57+x=180

144+x=180

x=180-144=36

x=36

Answer:

359.2 cubic inches

Step-by-step explanation:

The probability of having 7 boys in a family with 7 children is 1 out of 128, as there is only one favorable outcome out of 128 total possible outcomes.

To find the probability, we need to calculate n(E) and n(S).

In this case, event E represents the scenario where all 7 children are boys. The sample space S consists of all possible permutations of boys and girls for the 7 children, which is 2^7 = 128.

This is because each child has 2 possibilities (boy or girl), and we multiply these possibilities for all 7 children.

Since event E includes only one specific outcome (all boys), n(E) is equal to 1. Therefore, both n(E) and n(S) are 1 and 128, respectively. The probability of having 7 boys is given by n(E)/n(S) = 1/128.

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Answer:

The value of x is 20 ⇒ A

Step-by-step explanation:

When a line intersects two parallel lines, then some pairs of angles are formed

In the given figure

∵ Lines l and m are parallel

∵ They are intersected by a line

∴ The angles of measures (3x + 5)° and 65° are alternate interior angles

→ That means they are equal in measures

∵ Alternate interior angles are equal in measures

∴ (3x + 5)° = 65°

→ Subtract 5 from both sides

∵ 3x + 5 - 5 = 65 - 5

∴ 3x = 60

→ Divide both sides by 3

∴ x = 20

∴ The value of x is 20

Step-by-step explanation:

First find 28% of $19.50:

($19.50) / (100) × (28) = $5.46

Now minus the 285 from the original price:

($19.50) - ($5.46) = $14.04

The answer is $14.04

Hope it helped :)

Answer:

Step-by-step explanation:

7.08823529412

Answer:

Step-by-step explanation:

7.08823529412

Answer:

$2500

Step-by-step explanation:

Given data

Percent commission from sale= 2%

We are told that an associate earned $50 from sales

Let the amount of the sales be x

so

2/100*x= 50

0.02x=50

Divide both sides by 0.02

x=50/0.02

x=2500

Hence the sales made was $2500

The sample mean is given as follows:

1372.17 hours.

The 95% confidence interval of the true mean is given as follows:

(1251.85, 1492.49).

The sample size is given as follows:

n = 6.

The sample mean is given as follows:

(1272 + 1384 + 1543 + 1465 + 1250 + 1319)/6 = 1372.17 hours.

Using a calculator, the sample standard deviation is given as follows:

s = 114.65.

The critical value, using a t-distribution calculator, for a two-tailed 95% confidence interval, with 6 - 1 = 5 df, is t = 2.5706.

Hence the lower bound of the interval is given as follows:

\(1372.17 - 2.5706 \times \frac{114.65}{\sqrt{6}} = 1251.85\)

The upper bound of the interval is given as follows:

\(1372.17 + 2.5706 \times \frac{114.65}{\sqrt{6}} = 1492.49\)

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The concentration of the resulting sodium chloride solution is 12.431 g/L (or 12.4 g/L when rounded to one decimal place).

To calculate the concentration, we first need to determine the mass of sodium chloride in the solution. The mass of the weighing boat was found to be 0.5132 g. After adding sodium chloride, the combined mass of the weighing boat and sodium chloride was measured to be 1.7563 g. Therefore, the mass of sodium chloride in the solution is the difference between these two measurements:

Mass of sodium chloride = 1.7563 g - 0.5132 g = 1.2431 g

Next, we need to convert this mass to grams per liter (g/L). The solution was prepared in a 100 mL volumetric flask, which means the concentration needs to be expressed in terms of grams per 100 mL. To convert to grams per liter, we can use the following conversion factor:

1 g/L = 10 g/100 mL

Applying this conversion, we find:

Concentration of sodium chloride = (1.2431 g / 100 mL) * (10 g / 1 L) = 12.431 g/L

Rounding to one decimal place, the concentration of the resulting sodium chloride solution is 12.4 g/L.

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The volume of the box with surface area 10 is given by the formula V = \(2.5x^2 - 0.25x^4,\) where x is the length of a side of the square base.

To find a formula for the volume of the box with surface area A and square base with side x, we first need to find the height of the box. Since the box has a square base, the area of the base is \(x^2\). The remaining surface area is the sum of the areas of the four sides, each of which is a rectangle with base x and height h. Therefore, the surface area A is given by:

A = \(x^2 + 4xh\)

Solving for h, we get:

h = \((A - x^2) / 4x\)

The volume V of the box is given by:

V = \(x^2 * h\)

The domain of V is all non-negative real numbers, since both \(x^2\) and A are non-negative.

V as a function of x, we can use a graphing calculator or plot points using a table of values. The graph will be a parabola opening downwards, with x-intercepts at 0 and (A) and a maximum at x = sqrt(A) / sqrt(2).

To find the maximum value of V, we can take the derivative of V with respect to x and set it equal to 0:

dV/dx =\((2Ax - 4x^3) / 4\)

Setting this equal to 0 and solving for x, we get:

To find the formula for the volume of a box having surface area 10, we simply replace A with 10 in the formula we derived earlier:

V =\((10x^2 - x^4) / 4\)

Simplifying, we get:

V = \(2.5x^2 - 0.25x^4\)

Therefore, the volume of the box with surface area 10 is given by the formula V = \(2.5x^2 - 0.25x^4\), where x is the length of a side of the square base. The domain of V is all non-negative real numbers.

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Correct Question:

Example 4 A closed box has a fixed surface area A and a square base with side x. (a) Find a formula for the volume, V. of the box as a function of x. What is the domain of V? (b) Graph V as a function of x. (c) Find the maximum value of V.

use the work in example 4 in this section of the textbook to find a formula for the volume of a box having surface area 10.

(a) Using the Divergence Theorem, the flux of F across S can be calculated by evaluating the triple integral of the divergence of F over the solid region bounded by S.

Find the divergence of\(F: div(F) = d/dx(xy) + d/dy(y^2) + d/dz(yz) = y + 2y + z = 3y + z.\)

Set up the triple integral over the solid region bounded by \(S: ∭(3y + z) dV\), where dV is the volume element.

Convert the triple integral into a surface integral using the Divergence Theorem: \(∬(F dot n) ds\), where F dot n is the dot product of F and the outward unit normal vector n to the surface S, and ds is the surface element.

Calculate the flux by evaluating the surface integral over S.

(b) To calculate the surface integral directly, we can break it down into two parts: the lateral surface of the paraboloid and the disk at the top.

By parameterizing the surfaces appropriately, we can evaluate the surface integrals and verify that the answer matches the flux calculated in (a).

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Answer:

vertex = (1, - 9 )

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k ) are the coordinates of the vertex and a is a multiplier

y = - (x - 1)² - 9 ← is in vertex form

with vertex = (1, - 9 )

Answer:

He did an error because he multiplied equation 2 wrongly.

The correct multiplication should have been:

-6x + 9y = 6        Multiply equation by 2 by 3

Step-by-step explanation:

Given the system of equations

3x-5y=4

-2x+3y=2

This is what student solved

6x - 10y = 8        Multiply equation 1 by 2

-6x + 3y = 6        Multiply equation by 2 by 3

_________

       -7y = 14

          y = -2

He did an error because he multiplied the equation 2 wrongly.

The correct multiplication should have been:

-6x + 9y = 6        Multiply equation by 2 by 3

NOW, HERE IS THE CORRECT VERSION

6x - 10y = 8        Multiply equation 1 by 2

-6x + 6y = 6        Multiply equation by 2 by 3

_________

       -4y = 14

          y = -2/7

The length around the circular edge of the plate is 37.68 inches

The circumference of a circle can be solved as follows:

The ant is standing at the centre of a perfectly circular plate and it walks to the edge of the plate .

The centre of the plate to the edges is 6 inches. Therefore, the radius of the circular plate is 6 inches.

Hence, the distance around the edge of the plate is the circumference of the plate.

Therefore,

circumference of the circular plate = 2πr

circumference of the circular plate = 2 × π × 6

circumference of the circular plate = 12π

circumference of the circular plate = 12 × 3.14

circumference of the circular plate = 37.68 inches

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Answer: t=-5

Step-by-step explanation:

if 10t=-50, you have to solve for the equation. to solve, you have to get the variable by itself. to get the variable by itself, you have to divide both sides by 10. 10t/10=-50/10. t=-5

Answer:

$40-$15= $25 Rania has $25 dollars left

Step-by-step explanation:

Since Rania earned $40 for her birthday and then she spent $15 dollars at the movies, that means that 40-15=25 so she has 25 dollars left.

Answer:

Step-by-step explanation:

6.56

The volume of the figure is the sum of the volume of the square prism and the volume of the square pyramid which is 67.2cm³

To calculate the volume of the figure, we need to find the volume of the square prism and the volume of the square pyramid.

The volume of a square prism is given as;

V = L³

V = 4³

V = 64cm³

The volume of the square pyramid is given as;

V = 1/3lh

V = 1/3 * 4 * 2.4

V = 3.2cm³

The volume of the figure is 64cm³ + 3.2cm³ = 67.2cm³

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Answer: B) 7x-6=-2x+2

Step-by-step explanation:

Answer:

Step-by-step explanation:

14X - 2

14 (7) - 2

98 - 2

96

The value of the expression at x = 7 will be 96.

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given expression is 14x - 2. The value of x is 7. The value of the expression at x =7 will be calculated as:-

E = 14x - 2

E = 14 x 7 - 2

E = 96

Therefore, the value of the expression at x = 7 will be 96.

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The value of the 10% trimmed mean is approximately 1.3027. To calculate the 10% trimmed mean, we need to trim off the lowest and highest 10% of the data and then find the mean of the remaining values.

First, let's sort the data in ascending order:

0.2, 0.21, 0.26, 0.3, 0.33, 0.41, 0.54, 0.57, 1.41, 1.7, 1.84, 2.2, 2.26, 3.06, 3.24

Next, we calculate the number of values to trim from each end:

10% of 15 (total number of values) = 0.1 * 15 = 1.5

Since we can't remove half a value, we round up to the nearest whole number, which is 2.

Now, we remove the two lowest and two highest values:

0.26, 0.3, 0.33, 0.41, 0.54, 0.57, 1.41, 1.7, 1.84, 2.2, 2.26

Finally, we calculate the mean of the remaining values:

(0.26 + 0.3 + 0.33 + 0.41 + 0.54 + 0.57 + 1.41 + 1.7 + 1.84 + 2.2 + 2.26) / 11 = 14.33 / 11 ≈ 1.3027

Rounding to four decimal places, the value of the 10% trimmed mean is approximately 1.3027.

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The remainder when f(x) = 2x3 - 12x2 + 11x + 2 is divided by x - 5 is 7.

We can use the remainder theorem to find the remainder when a polynomial is divided by a linear factor.

The remainder theorem states that the remainder when a polynomial f(x) is divided by x - a is f(a). In this case, the polynomial is f(x) = 2x3 - 12x2 + 11x + 2 and the linear factor is x - 5. So, the remainder is f(5).

To find f(5), we can simply substitute x = 5 into the polynomial. This gives us f(5) = 2(5)3 - 12(5)2 + 11(5) + 2 = 7.

Therefore, the remainder when f(x) = 2x3 - 12x2 + 11x + 2 is divided by x - 5 is 7.

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