how do i find the volume to the nearest 1 decimal place?

let o be the number of outfits, then

o*53.96 shoud be less than or equal to 620 - all what he bought, so:

Total money: $620

Spent money: $620 - $440.12 - $19.26 - 25.72 = $134.9

The inequality will be:

53.96o ≤ 134.9

o ≤ 2.5

Let me start by telling you that there is a typo in the actual question (given the answers they provide for selection)

I am going to tell you the transformations that have been applied to change the function:

into the function:

Then, these transformations consist on:

a reflection around the x axis (due to the negative sign in front),

a horizontal shift in TWO units to the right (given by the subtraction of 2 inside the parenthesis,

then a vertical compression in 1/8 (due to the factor 1/8 outside the parenthesis

and then a vertical shift of 3 units UP due to the +3 added at the end

Then, please select answer B in the list provided

The simple interest formula is :

where A is the future amount

P is the principal amount

r is the rate of interest

and

t is the time in years

From the problem, we have :

P = $21,370

r = 10% or 0.10

t = 171 days or 171/365 year

Using the formula above :

The answer is $22,371.17

ANSWER

EXPLANATION

We want to find the number of cookies that can be made with 5 sticks.

To solve this, we have to apply proportions. Let the number of cookies that can be made be x.

We have that:

Now, cross-multiply:

That is the number of cookies that can be made.

In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data

- 2x² + 18x + _________

Step 02:

(a + b) = a² + 2ab + b²

a² = -2x²

2ab = 18x

Two ways to express the solution:

Substraction:

1. Find prime factors of 24

2. As 2 squared has a exact square root extract it from the radical:

Then, you have the next expression:

Substract similar terms (taking square root of 6 as a common factor):

transformamos las unidades de litros a centimetros cubicos, esto es:

1 L = 1000 cm3

2L = 2000 cm3

hallamos el area de la base

hallamos el area lateral

luego el area total

respuesta: se necesitan 1128 cm2 de carton

EXPLANATION

By the corresponding angles theorem, we can affirm that the following angles are corresponding ones:

angles 1 and 5 are corresponding because they occupy the same relative position.

Let Program 1, Program 2, and Program 3 be represented by P1, P2, and P3.

Given:

n(P1 n P2) = 6

n(P2 n P3) =8

n(P1 n P3) = 5

n(P1 n P2 n P3) = 2

n(P1 U P2' U P3') =18

n(P2) = 22

n(P3 U P1 U P2') = 16

n(P1 U P2 U P3)' = 17

Representing the information on a Venn diagram:

The number of people that were using Program 2 but not Program 3:

Number of people surveyed

The number of people surveyed is the sum of the individual subsets:

In order to solve this system of equations, first let's add the second equation to the first and third ones:

Now, adding the two resulting equations, we have:

So the solution for this system is x = 8, y = -9 and z = 7.

To answer this question, we need to solve this inequality for y as follows:

Then, we have:

As we can see the direction of the inequality changed because we multiplied it by a negative number.

Then, if we can see the inequality, we find that the values that make this inequality true

are infinite values (the values of y are in function of the values of x).

Then, since we have the values given in the options, we need to check which of these values make the inequality true or we can graph a line for this inequality.

We have that the line is given by:

y = 2x/3 - 4

The x-intercept for this line is:

The postulates of congruence for right triangles are

• Hypotenuse-Leg Theorem.

• Leg-Leg Theorem.

• Leg-Acute Angle Theorem.

• Hypotenuse-Acute Angle Theorem.

In this case, we know that sides CE and OQ are congruent. (hypotenuses are congruent)

Angle C is congruent to angle O.

Angle E is congruent to angle Q.

To demonstrate the congruence between triangles we can use Hypotenuse-Acute Angle Theorem since they are congruent between triangles.

We can also use Hypotenuse-Leg Theorem because we have corresponding legs and hypotenuses congruent.

The hypotenuse-acute angle theorem states that two right triangles are congruent if they have congruent hypotenuse and one corresponding pair of acute angles congruent.

The hypotenuse-leg theorem states that two right triangles are congruent if they have congruent hypotenuse and one corresponding pair of congruent legs.

We need to find how many trips she will have to make to cover a total of 24 kilometers.

We know that she covered 15 kilometers by making 5 trips. Thus, the number of kilometers made on each trip is:

Then, she made 3 kilometers on 1 trip (unit rate).

Now, to cover 24 kilometers, she needs to make 8 trips, because:

Thus:

Answer: She will have to make 8 trips.

From the given question

There are given that the matrix.

Now,

To find the inverse of any matrix, first find their determinant.

Then,

According to the properties of the matrix:

If the determinant of any matrix is zero, then their inverse has undefined.

So,

From the determinant of the given matrix:

The determinant of the given matrix is zero

So, their inverse has not been defined.

Hence, the correct option is A.

Given :

The circumference of the circle = 25 feet

π = 3.14

The circumference of the circle =

Where r is the radius and d is the diameter

so,

if we rounded to the nearest feet, the diameter = 8 feet

The formula used to calculate the area of the window will be

By substituting the values, we will have

Hence,

The final answer = 6ft²

The perimeter is a measure of the distance around the shape. This means that to find the perimeter we usually are going to add the lenghts of the sides of the figure (the circle is an exception to that rule since this is a curve figure).

The are is a measure of the space inside the figure. This means that to find the area we usually are going to multiply the lenghts of the sides of the figure to get the area.

Now the area of a triangle is given as:

whereas the area of a paralelogram is given by:

From this we notice that the area of the triangle is half the area of a parallelogram.

So first of all we need to write an algebraic equation for Mike. We know that he bought 3 coffees and 1 doughnut. Then the total price of these things is:

And we know that he had to pay $19 so this expression is equal to 19:

Then the answer to question 14 is the second option.

Bob bought one coffee and one doughnut so the total cost of his purchase is:

We know that this cost is equal to $9 so we get:

And the answer to question 15 is the third option.

In question2 16 and 17 we need to find c and d. For this purpose we need to use the algebraic equations for Mike and Bob:

Let's take the second equation and substract c from both sides:

Now we substitute this expression in place of d in the first equation:

Now we substract 9 from both sides:

And we divide both sides by 2:

Then the price of one coffee is $5 so the answer to question 16 is the third option.

Now we are going to take the equation for Bob and take c=5:

If we substract 5 from both sides we get:

Then the price of one doughnut is $4 and the answer to question 17 is the second option.

The value of sinα  in the right angle triangle is [tex]\frac{16\sqrt{281} }{78961}[/tex]

A right-angled triangle is a triangle, that has one of its interior angles equal to 90 degrees or any one angle is a right angle. Therefore, this triangle is also called the right triangle or 90-degree triangle. The right triangle plays an important role in trigonometry.

sin α = opposite/hypotenuse

opposite = 16, hypotenuse [tex]\sqrt{281}[/tex]

sin α = [tex]\frac{16}{\sqrt{281} }[/tex]

By rationalizing, the denominator which means multiply the fraction by [tex]\frac{\sqrt{281} }{\sqrt{281} }[/tex]

[tex]\frac{16}{\sqrt{281} }[/tex] x [tex]\frac{\sqrt{281} }{\sqrt{281} }[/tex] = [tex]\frac{16\sqrt{281} }{78961}[/tex]

sin [tex]\alpha[/tex] = [tex]\frac{16\sqrt{281} }{78961}[/tex]

In conclusion, the value of sin[tex]\alpha[/tex] = [tex]\frac{16\sqrt{281} }{78961}[/tex]

Learn more about trigonometric ratios: https://brainly.com/question/1165363

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We have a system of linear equations:

Let S be the price of software package and M be the price of the month of game play.

Angie buys 1 software package and 3 months of gameplay, while Kenny buys 2 software packages and 2 months of game play. The total cost for them is $125.

We can write this as:

We also know that each software package cost $25. This can be written as:

We can replace this last equation in the first one, and calculate M:

The cost of one month of game play is $10.

SOLUTION

We want to find which region has a population less than 60 animals in the diagram below

Population desity is calculated as

So let's get the areas of triangles A, B, C, and D we have

Population density for each becomes

Region C has a population density of 56 animals per square mile, which is less than 60.

Hence the answer is region C, option C

Given:

Principal amount = $28,000

Time period = 9 years

Interest rate = 3.25

Required:

Find the total amount at the end of the period.

Explanation:

The amount formula when the interest is compounded annually is given by the formula:

Where P =principal amount

r = rate of interest

T = time period

n = Number of time

Substitute the given values in the amount formula.

Final Answer:

Thus the amount after 9 years is $37,340.

We have that the circumference of a circle can be represented with the following equation:

where d represents the diameter of the circle.

In this case, we have a circle of circumference C = 30 ft made with the lights, then, using the equation and solving for d, assuming that pi equals 3.14, we get:

therefore, the approximate diameter of the largest circle is 10 ft

Step 1:

Write the equation

Step 2:

Write the trigonometric inverse identity

Step 3:

Substitute in the equation

Final answer

The parent function of the graph is,

The transformed image of the graph is,

Let us sketch out the graph of both the parent function and the transformed function.

From the image above, the parent function, y=x² was first reflected over the y-axis. Therefore, the transformation resulted into y= -x² .

After that, it was now shifted down by 5 units, which now resulted into

Hence, the correct answer is B(Second option), which is the parent function was reflected over the y-axis and shifted downward by 5 units.

Solution

Given the logarithmic statement below

To change the statement to an exponential statement, we apply an exponent to both sides

Simplifying the expression above gives

Hence, the exponential statement is

Given:

a.) A circle with a diameter of 8 yards.

For us to get the area of the circle, we will be using the following formula:

Where,

D = the diameter of the circle = 8 yards

We get,

Answer: 50.24 square yards

This problem involves combination with taken n Items taken r at a time

The formula for this combination is :

Where n is the total number of items

and r is the objects taken at a time

The factorial, n! denotes n x (n-1) x (n-2) x (n-3) x ... x (1)

For example :

2! = 2 x 1 = 2

3! = 3 x 2 x 1 = 6

4! = 4 x 3 x 2 x 1 = 24

Now from the given problem :

we have n = 30 numbers

r = selection of 3

Then the formula will be :

Simplifying :

27 up to 1 will be cancelled from numerator and the denominator..

Evaluating the expression will be :

24360/6 = 4060

The answer is 4060

Solution

The graph of the inequality is shown below

You have teh following equation:

(x - 5)/2 = - 6

In order to find the solution to the previous equation, proceed as follow:

(x - 5)/2 = -6 multiply by 2 both sides

x - 5 = -6(2)

x - 5 = -12 add 5 both sides

x = -12 + 5 simlify

x = -7

Hence, the solution to the gicen equation is x = -7