HELPPPPPPPPP!!!!!!!!!!

Answer:

A. No

B. Yes

C. No

Step-by-step explanation:

Dimensions of each book are 4 inches by 11 by 14 inches.

A. Each book has a volume of 29 cubic inches.

Volume of each book = length × width × height

= 4 × 11 × 14

= 616 cubic inches

No

B. If the crate could hold 18 books the volume of the crate would be 11,088.

Volume of each book = 616 cubic inches

Volume of the crate = volume of each book × number of books

= 616 × 18

= 11,088 cubic inches

Yes

C. Each crate has a volume of about 8,524 cubic inches

If the crate holds 14 books,

Volume of the crate = volume of each book × number of books

= 616 × 14

= 8,624 cubic inches

No

sorry . I had done it wrong

Answer:

0

Step-by-step explanation:

Answer:

The slope is 3

Step-by-step explanation:

m = rise/run

Imma use points (4,1) and (5,4)

rise = 3

run = 1

3/1

m = 3

plz mark as brainliest if correct!

Answer:

median, mode, and mode interval. please tell me if this is right.

Step-by-step explanation:

Answer:

1. ,2., and 4.

Step-by-step explanation:

Answer:

a is the required answer

Using triangle concepts, it is found that the length of the third side of Damaris’s triangle could be any value greater than 3 inches and less than 15 inches.

In a triangle, the sum of the lengths of the two smaller sides has to be greater than the length of the greater side.

Considering 6 inches and 9 inches the smallest sides:

\(x < 6 + 9\)

\(x < 15\)

Considering 9 inches as the greater side:

\(x + 6 > 9\)

\(x > 9 - 6\)

\(x > 3\)

The length of the third side of Damaris’s triangle could be any value greater than 3 inches and less than 15 inches.

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Answer:

y= 8000x + 2000

Step-by-step explanation:

to find the formula we can use the points given in the question:

the slope:

to get the slope we can take the 2 points, (0,2000) and (2,18000) where x values are time and y values are bacteria

now using slope-intercept form we can get \(\frac{18000-2000}{2-0}\) which gives a slope of 8000 meaning for each hour there are 8000 new bacteria

intercept:

since we start with 2000 bacteria we know this is the y intercept so when x is 0

formula:

y=8000x + 2000

∠6 and ∠7 are the angles which are supplementary to ∠1.

An angle is the figure formed by two rays, called the sides of the angle, sharing a common endpoint, called the vertex of the angle.

Supplementary angles are those angles that sum up to 180 degrees.

In the given figure lines l and m are parallel lines.

A transversal passed through parallel lines.

∠1+∠2=180 degrees

∠1+∠3=180 degrees.

∠2 is corresponding angle of ∠6.

∠1+∠6=180 degrees.

∠3 is corresponding angle of ∠7.

∠1+∠7=180 degrees.

Hence, ∠6 and ∠7 are the angles which are supplementary to ∠1.

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Answer: based on the information that you gave me, I think the answer is :

A. sex is an explanatory variable; starting salary is the response variable ;area of specialization is a possible confounding variable

hope this helps

Step-by-step explanation:

Step-by-step explanation:

Area of triangle = base × height ×½

triangle = 9×8×½=36cm²

rectangle = length×width

rectangle = 15×26=390cm²

area of irregular fig= 390+36 =426cm²

Using the graph method, Central Fabric should determine the most profitable numbers of bolts to purchase from mills A and B by considering profit calculations, supply and demand constraints, and plotting a profit graph.

To determine the most profitable numbers of bolts that Central Fabric should purchase from mills A and B using the graph method, we need to create a profit graph based on the given information.

Start by calculating the total available supply for each market channel:

Fabric Stores: (0.40 * Total Bolts from Mill A) + (0.20 * Total Bolts from Mill B)

Discount Stores: (0.10 * Total Bolts from Mill A) + (0.20 * Total Bolts from Mill B)

Direct Mail: (0.30 * Total Bolts from Mill A) + (0.40 * Total Bolts from Mill B)

Determine the maximum number of bolts that can be sold in each market channel:

Fabric Stores: 1,600 bolts

Discount Stores: 2,800 bolts

Direct Mail: 2,600 bolts

Calculate the profit for each combination of bolts purchased from mills A and B:

Profit from Mill A: (0.60 * Total Bolts from Mill A - 0.20 * Total Bolts from Mill A) * P8,000

Profit from Mill B: (0.80 * Total Bolts from Mill B - 0.20 * Total Bolts from Mill B) * P6,000

Plot the profit graph by considering different combinations of Total Bolts from Mill A and Total Bolts from Mill B, while taking into account the constraints of available supply and market demand.

Find the combination of Total Bolts from Mill A and Total Bolts from Mill B that maximizes the profit while satisfying the supply and demand constraints. This point on the graph represents the most profitable numbers of bolts to purchase from mills A and B.

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Answer:

14+14 + 4pi= 28 + 4pi

\(\pi\)

The ordered pair (3, 3) satisfies both equations simultaneously, and hence it is the solution to the system of equations represented by the Graph.

The system of equations represented by the graph is 2x - 3y = 9 and -x + 4y = 12.

The graph contains two lines that intersect at a point, which is the solution to the system of equations.What is a System of Equations?A system of equations is a set of two or more equations that are to be solved simultaneously. These equations have the same variables.

If the system has two equations, it is called a system of two linear equations in two variables. The variables represent two unknown quantities, and the equations represent the relationships between them.Graphical Representation of a System of EquationsThe graphical representation of a system of equations is done by plotting the lines that are represented by the equations on the same coordinate plane.

If the two lines intersect at a point, then that point is the solution to the system of equations.The solution to the system of equations is the ordered pair that satisfies both equations simultaneously. This means that if we substitute the values of the ordered pair into both equations, the equations will be true.

The Solution to the System of Equations represented by the GraphThe graph of the system of equations given in the question contains two lines that intersect at a point. The point of intersection is (3, 3).

Therefore, the solution to the system of equations is (3, 3).Now we can verify that the ordered pair (3, 3) is the solution to both equations. When we substitute x = 3 and y = 3 in the first equation, we get:2x - 3y = 9 ⇒ 2(3) - 3(3) = 9 ⇒ 6 - 9 = -3This equation is true. Now we can substitute x = 3 and y = 3 in the second equation, we get:-x + 4y = 12 ⇒ -(3) + 4(3) = 12 ⇒ -3 + 12 = 9

This equation is also true.

Therefore, the ordered pair (3, 3) satisfies both equations simultaneously, and hence it is the solution to the system of equations represented by the graph.

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Answer:

363 ft.

Step-by-step explanation:

To calculate the base side which is b we use the trigonometric identity called cosine.

\(cos \theta=\frac{base}{hypotenuse} \\\\cos25 = \frac{b}{400}\\\\b=400*cos 25\\b=400*0.906\\b=362.5\ ft\)

Since we the answer to the nearest whole number it would be b = 363 ft.

Answer:

\(x=9+ 2\sqrt{7}\\x=9- 2\sqrt{7}\)

Step-by-step explanation:

To solve a quadratic equation by completing squares we need to recall these basic algebra relations called the square of a binomial:

\((a+b)^2=a^2+2ab+b^2\)

\((a-b)^2=a^2-2ab+b^2\)

We can use them from right to left to factor trinomials:

\(a^2-2ab+b^2=(a-b)^2\)

We need to solve the equation:

\(x^2-18x+53=0\)

Subtracting 53:

\(x^2-18x=-53\)

The first two terms of the left side of the equation are the first two terms of the trinomial given in the formula, having:

\(a^2=x^2\)

Or, equivalently:

\(a=x\)

Also:

\(2ab=-18x\)

Since a=x

\(2xb=-18x\)

Simplifying:

b=-9

We need to complete the square by adding \(b^2=81\)

Adding 81:

\(x^2-18x+81=-53+81\)

Factoring and operating:

\((x-9)^2=28\)

Since 28=4*7

\((x-9)^2=4*7\)

Taking square roots:

\(x-9=\pm \sqrt{4*7}\)

Separating the square root of 4:

\(x-9=\pm 2\sqrt{7}\)

Solving:

\(x=9\pm 2\sqrt{7}\)

The two solutions are:

\(x=9+ 2\sqrt{7}\\\\x=9- 2\sqrt{7}\)

Answer:

15^2 = 225

7^3 = 343

Step-by-step explanation:

The unit rate of $68 dollars for 8 1/2 hour is 8 dollars/hour.

A unit rate means a rate for one of something. We write this as a ratio with a denominator of one.

Now it is given that,

Number of dollars = $68

Number of hours = 8 1/2 hour

Converting hours into improper fraction we get

⇒ Number of hours = 17/2 hour

Thus, unit rate = Number of dollars / Number of hours

⇒ unit rate = 68/( 17/2 ) dollars/hour

⇒ unit rate = 8 dollars/hour

this is the required unit rate.

Thus, the unit rate of $68 dollars for 8 1/2 hour is 8 dollars/hour.

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For n≥2, the corresponding recursive function is f (1) =3f(n)=f(n1) +5.

In mathematics, a function is a rule that pairs each element from the domain with exactly one from the range or codomain of two sets.

In a recursive function, the output value at a certain input value is defined as a function of the output value at the previous input value. In this instance, we may use the definition to derive the recursive function from the explicit function:

f (n) = 5n - 2 f (n) = 5n - 3 f (n) = 5(2) - 8 f (n) = 5(3) - 13

The right response is: A. When n=2, f(1) = 2f(n)= f(n1) + 5.

As a result, the recursive function can be written as: f (1) =3f(n)=f(n1) +5 for n2.

Thus, for n≥2, the analogous recursive function is f (1) =3f(n)=f(n1) +5.

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The dimensions of the dumpster that will minimize its surface area are approximately 2.924 feet by 5.848 feet by 3.33 feet.

To find the dimensions of the dumpster that will minimize its surface area, we need to use optimization techniques. Let's start by defining our variables:

Let x be the width of the dumpster (in feet)
Then, the length of the dumpster is 2x (twice as long as it is wide)

Let V be the volume of the dumpster (in cubic feet)
Then, we know that V = x * (2x) * h (where h is the height of the dumpster)

The problem states that the dumpster must hold 100 cubic feet of debris, so we can write:

x * (2x) * h = 100
h = 100 / (2x^2)

Next, we need to find the surface area of the dumpster. This is given by:

A = 2lw + 2lh + 2wh

Substituting in our expressions for l and h, we get:

A = 2(x * 2x) + 2(x * 100 / 2x^2) + 2(2x * 100 / 2x^2)
A = 4x^2 + 200/x

To minimize the surface area, we need to take the derivative of A with respect to x and set it equal to zero:

dA/dx = 8x - 200/x^2 = 0
8x = 200/x^2
x^3 = 25
x = 25^(1/3) = 2.924 feet (rounded to 3 decimal places)

Therefore, the width of the dumpster is approximately 2.924 feet and the length is twice as long, or 5.848 feet. To find the height, we can use our expression for h:

h = 100 / (2x^2) = 3.33 feet (rounded to 2 decimal places)

So, the dimensions of the dumpster that will minimize its surface area are approximately 2.924 feet by 5.848 feet by 3.33 feet.

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Respuesta:

x = 5.656854249

Explicación paso a paso:

[NOTA: Solo quería disculparme de antemano por cualquier mala gramática, ya que estoy usando un traductor para esto.]

x/Sen30°= 8/Sen45° [Multiplica ambos lados por Sen30°]

x = (8/Sen45°) * Sen30° [Resuelve usando una calculadora]

x = 5.656854249

To factor the quadratic expression 3x^2 - x - 2, we need to find two binomials that, when multiplied, give us the original expression.

The factored form of the quadratic expression can be determined by breaking down the middle term (-x) into two terms whose coefficients multiply to give the product of the coefficient of the squared term (3) and the constant term (-2). In this case, the product is -6. We are looking for two numbers whose sum is equal to -1 (the coefficient of the middle term) and whose product is equal to -6.

The numbers that satisfy these conditions are -3 and 2. We can now rewrite the expression using these numbers:

3x^2 - x - 2 = 3x^2 - 3x + 2x - 2

Next, we group the terms and factor by grouping:

(3x^2 - 3x) + (2x - 2) = 3x(x - 1) + 2(x - 1)

Now, we can see that we have a common binomial factor of (x - 1) in both terms. We can factor this out:

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

Therefore, the factored form of the quadratic expression 3x^2 - x - 2 is (3x + 2)(x - 1).

Answer:

F(3,3)

Step-by-step explanation:

The coordinate of F is (3, 3).

Three vertices of parallelogram DEFG are D(0, 2), E(-1, 5), and G (4, 0).

Diagonals of a parallelogram bisect each other, meaning they divide each other into equal parts.

The formula is used to find the midpoints are as follows;

\(\rm \dfrac{x_1+x_2}{2} , \ \dfrac{y_1+y_2}{2}\)

Let (x, y) = coordinates of vertex F.

DF and EG are diagonals of parallelogram DEFG, therefore:

The midpoint of DF = midpoint of EG

Then,

The midpoint of D(0, 2) and F(x, y) is;

\(\rm \dfrac{x_1+x_2}{2} , \ \dfrac{y_1+y_2}{2}\\\\\dfrac{0+x}{2}, \ \dfrac{2+y}{2}\)

The midpoint of E(-1, 5) and G(4, 0) is;

\(\rm \dfrac{x_1+x_2}{2} , \ \dfrac{y_1+y_2}{2}\\\\\rm \dfrac{-1+4}{2} , \ \dfrac{5+0}{2}\\\\\dfrac{3}{2}, \dfrac{5}{2}\)

Comparing the equation;

\(\rm \dfrac{0+x}{2} = \dfrac{3}{2}\\\\\dfrac{x}{2} = \dfrac{3}{2}\\\\x=3\)

\(\rm \dfrac{2+y}{2} =\dfrac{5}{2}\\\\2+y =5\\\\y = 5-2\\\\y =3\)

Hence, the coordinate of F is (3, 3).

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The probability of the union of two events occurring can never be more than the probability of the intersection of two events occurring, this statement is false.

The union of two or more sets refers to the set with all the elements belonging to each set. An element is said to be in the union if it lies to at least one of the sets.

The intersection of two or more sets refers to the set of elements universal to each set. An element is in the intersection if it occurs in all of the sets.

The event that both A and B occur is the intersection of the events A occurs and B occurs. As such, it is a subset of each and cannot, therefore, have a larger probability than either one individually.

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Answer:

b=7

Step-by-step explanation:

3-5b=-32

-5b=-32-3

-5b=-35

Divide both sides by -5

b=7

( I also had trouble with these kind of expressions)