a pile of newspapers in the recycling bin was 12 1/4 inches high. each week the height of the pile increases by 4 5/8 inches. what is the height of the pile after 4 weeks

Final answer:

The space between two objects is measured as distance or length, with miles being the correct unit of measurement among the given options.

Explanation:

The measurement of the space between two objects is referred to as length or distance. If we look at the options provided: A. Area, B. Pounds, C. Circumference, D. Miles, it is clear that miles is a unit of measurement that describes distance. Area measures the size of a surface, pounds measure weight or mass, and circumference measures the distance around a circle. When considering distances, especially those that are long such as between two cities, miles is an appropriate unit to use. For example, the distance between your house and school would best be measured in kilometers or miles, rather than in smaller units like inches or centimeters, or in unrelated units like pounds or areas.

Answer:

Option (a) is correct.

The value of function [tex]f(x) = -2x^2 + 4x- 7[/tex] at x = -4 is -55

Step-by-step explanation:

  Given : [tex]f(x) = -2x^2 + 4x- 7[/tex]

We have to find the value at f(-4) and choose the correct option from the given options.

Consider the given function [tex]f(x) = -2x^2 + 4x- 7[/tex]

Since, we have to find the value of f(-4) that is value of f(x) at x = -4

Substitute, value of x = -4 in given function, we have,

[tex]f(-4) = -2(-4)^2 + 4(-4)- 7[/tex]

Simplify, we have,

[tex]f(-4) = -55[/tex]

Thus, the value of function [tex]f(x) = -2x^2 + 4x- 7[/tex] at x = -4 is -55

Option (a) is correct.

Answer: Yes , Rajendra has enough trail mix  to completely fill 8 bags.

Step-by-step explanation:

Given : Total trail mix Rajendra has = [tex]14\dfrac{4}{5}[/tex] pounds

Convert [tex]14\dfrac{4}{5}[/tex]  into improper fraction.

[tex]14\dfrac{4}{5}=\dfrac{(14)(5)+4}{5}=\dfrac{74}{5}[/tex]

Amount of mix in each bag = [tex]1\dfrac{1}{2}[/tex] pounds.

[tex]=\dfrac{1(2)+1}{2}=\dfrac{3}{2}[/tex] pounds

Then, the total number of bags can be filled by the trail mix Rajendra has

= Total trail mix ÷ Amount of mix in each bag

[tex]=\dfrac{74}{5}\div\dfrac{3}{2}[/tex]

[tex]=\dfrac{74}{5}\times\dfrac{2}{3}=\dfrac{148}{15}=9.86666666667\approx9[/tex]

It means Rajendra has enough trail mix to fill 9 bags.

Since 9 > 8

Therefore , Rajendra has enough trail mix  to completely fill 8 bags.

Answer:

Triangle 1 is rotated to result in triangle 2.

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

GOT IT RIGHT

The value of P( a or b)= 0.47.

The potential of an event or outcome occurring based on the existence of a prior event or outcome is known as conditional probability. It is determined by multiplying the likelihood of the earlier occurrence by the increased likelihood of the later, or conditional, event.

Conditional probability is the likelihood that any event A will occur in the presence of another event B that is related to A. P(A|B) illustrates it.

Given:

p(a) = 0.65, p(b) = 0.58, and p(a and b)= 0.76

Now, using the formula

P(a∪b) = P(a) + P(b) - P(a∩b)

           = 0.65 + 0.58 - 0.76

           = 0.47

Hence, the value of P( a or b)= 0.47.

Learn more about conditional probability here:

https://brainly.com/question/10567654

#SPJ2

Answer:

[tex]\frac{1}{16}[/tex]

Step-by-step explanation:

We are given that

Trygg has package of marigold seeds=[tex]\frac{3}{4}[/tex]

He plants  seeds in garden=[tex]\frac{1}{6}\times \frac{3}{4}=\frac{1}{8}[/tex]

Remaining seeds=[tex]\frac{3}{4}-\frac{1}{8}=\frac{5}{8}[/tex]

He divide remaining seeds equally into 10 flower pots.

We have to determine the fraction of a package of seeds is planted in each flower pot.

Seeds in each pot=[tex]\frac{\frac{5}{8}}{10}=\frac{1}{16}[/tex]

Hence, seeds planted in each pot=[tex]\frac{1}{16}[/tex]

3rd tree = x

1st tree = 3x+50

2nd tree = 2x+100

3x+50 = 2x+100

subtract 50 from each side

3x= 2x+50

subtract 2x from each side

x = 50

 so 3rd tree = 50 feet tall

 Answer is B

Or in shorter answers 2

Answer:

i believe it's 18.1

Step-by-step explanation:

Answer: ∠M in the pre-image corresponds to ∠B in the image.

Step-by-step explanation:

When  we look at the figures , we can see that the three vertices B , C , D are one side as vertices to M , N  ,O .

Clearly , vertex C corresponds to vertex N ( presents in the middle )

Also, point B is at the right from point C .

In  Figure L M N O P , vertex M is at the right from vertex N .

Thus , vertex M corresponds the vertex B.

It means ∠M in the pre-image corresponds to ∠B in the image.

Answer:

C. Use the straightedge to draw XR←→ and XS←→.

Step-by-step explanation:

Adam has drawn the arcs by using RS distance as the radius of the circle and mid points as R and S.

So the point X is the same distance from R and S.

So now Adam has to use the straightedge to draw XR←→ and XS←→.

Then,  XR = XS = RS

So it is an equilateral triangle.

Therefore, the correct answer is C.

Adam should do for his next step to use the straightedge to draw [tex]\( XR \)[/tex] and [tex]\( XS \).[/tex] The option (C) is correct.

The construction process for the equilateral triangle:

To construct an equilateral triangle using a straightedge and compass:

Construct [tex]\( XR \)[/tex]: Adam has already constructed segment [tex]\( XR \).[/tex]

Draw [tex]\( XS \)[/tex]: Using the straightedge, Adam should draw a line segment [tex]\( XS \)[/tex] from point [tex]\( X \)[/tex] to another point [tex]\( S \)[/tex] such that [tex]\( XS = XR \)[/tex]. This ensures that two sides of the equilateral triangle are equal in length.

Draw [tex]\( RS \)[/tex]: After drawing [tex]\( XS \)[/tex], Adam should use the straightedge to draw segment [tex]\( RS \)[/tex], completing the equilateral triangle [tex]\( \triangle XRS \).[/tex]

This method aligns with the steps typically used in geometric constructions to form an equilateral triangle: ensuring that all three sides are equal in length by first establishing two sides of equal length and then completing the triangle.

Therefore, upon reconsideration, option (C) is indeed the correct next step for Adam to construct his equilateral triangle.

The total distance of her run is 12 Km and this can be determined by using the Pythagorean theorem.

Given :

The following steps can be used in order to determine the total distance of Mara run:

Step 1 - The Pythagorean theorem can be used in order to determine the total distance of her run.

Step 2 - The Pythagorean theorem is given below:

[tex]\rm H^2 = P^2+B^2[/tex]

where H is the hypotenuse, B is the base, and P is the perpendicular.

Step 3 - Now, substitute the values of the known terms in the above expression.

[tex]\rm H^2 = (3)^2+(4)^2[/tex]

H = 5 Km

Step 4 - So, the total distance of Mara run is given below:

Total distance = 5 + 4 + 3 = 12 Km

For more information, refer to the link given below:

https://brainly.com/question/21149612

To evaluate a triple integral over a region of a sphere, we switch to spherical coordinates. We then express the integrand and the limits of the variables in terms of these new coordinates. Don't forget the Jacobian when changing variables.

The subject is a mathematical problem that requires evaluating a triple integral over a specific part of a ball in three-dimensional space. The function to integrate is f(x,y,z)=z*(x2+y2+z2)-3/2 and the region of integration is defined as the part of the sphere with radius 7 (x2+y2+z2<=49) in which z >= 3.5. Unfortunately, the solution to such a problem requires advanced mathematical skills and knowledge, such as spherical coordinates and integration techniques, which cannot be elaborated within the word limit here.

However, to solve such problems, you typically switch to spherical coordinates, where x=r*cos(theta)*sin(phi), y=r*sin(theta)*sin(phi), z=r*cos(phi). Then, you express your function and the limits of your variables r, theta, and phi in terms of these new coordinates. You need to consider the Jacobian determinant when changing variables. Eventually, you integrate over the specified region. The solution needs careful elaboration of every step due to the complexity of the integral.

https://brainly.com/question/32510822

#SPJ3

Joe: 8 songs in 10 minutes = 8/10 = 0.8 songs per minute

Jasmine: 12 songs in 15 minutes = 12/15 = 0.8 songs per minute

 they are downloading at the same speed

Ok so if she needs 64 floz, If u add 5+3 you get 8. 64/8 = 8

Now You multiply your parts of water and juice by 8.      

5*8= 40   <---- Answer

3*8 =24  <----Answer

To check your answer you would add up the parts of each. 40+24= 64

Answer:

The correct option 4.

Step-by-step explanation:

The given equation is

[tex]2.75x+3.25y=215[/tex]          .... (1)

Let x is the number of pretzels sold and y is the number of popcorn bags sold.

Total sales is defined as

[tex]Sales=C_1x+C_2y[/tex]         ... (2)

From (1) and (2) it is clear that,

The cost of each pretzel is $2.75 or 275 cents. The cost of each popcorn bag is $3.25 or 325 cents ($1 = 100 cents). Total sales is $215.

[tex]325-275=50[/tex]

Pretzels cost is 50 cents less than popcorn bags. The variable x represents the number of pretzels sold and y represents the number of popcorn bags sold. The total sales was $215.

Therefore the correct option 4.

The largest rectangular orchid garden that can be enclosed within a $120 budget, considering the given costs of fencing, has dimensions of 2 feet by 2 feet, resulting in an area of 4 square feet.

You wish to create a rectangular orchid garden with the house forming the northern boundary, and you're working with a budget of $120 for fencing. The cost per foot for the southern boundary is $30, and for the east and west sides, it's $15 each. We need to determine the dimensions that maximize the area.

Let's denote the width of the garden (east and west sides) as w feet, and the length (only the southern side, as the northern side is the house) as l feet. The total cost of fencing is therefore the sum of the costs for all three sides: Cost = $30l + 2($15w), which simplifies to Cost = $30l + $30w. Since your budget is $120, we can write the equation $30l + $30w = $120, which simplifies further to l + w = 4.

To find the dimensions that give you the largest area, we need to maximize the area A of the rectangle, which is A = l  imes w. Substituting w with 4 - l (from our previous equation), we get A = l  imes (4 - l). To find the maximum area, take the derivative of A with respect to l and set it to zero, solving for l. This gives us l = 2 feet. Substituting back, we find w = 2 feet as well.

The dimensions for the garden that will give you the largest enclosed area within a $120 budget are 2 feet in width by 2 feet in length, resulting in an area of 4 square feet.

Let us say that:

x = weight of llamas

y = weight of okapi

From the problem, we can create the equations:

x + y = 450           --> 1

3 x = y + 190        --> 2

Rewriting equation 1:

x = 450 – y

From equation 2:

3 (450 – y) = y + 190

1350 – 3 y = y + 190

4 y = 1160

y = 290

From equation 1:

x = 450 – 290

x = 160

Therefore a llama weighs 160 kilograms while okapi weigh 290 kilograms on average.