A nursery has 15 bags of topsoil. Each planter holds 1/8 of a bag.

How many planters can be filled with the topsoil?


Enter your answer in the box.


|__| planters


MUST HAVE:
*Show work*

Answer:

D

Step-by-step explanation:

lx+2l+7>10 /-7

lx+2l>3

if x >0, x+2>3 /-2, x>1

if x <0, x+2<-3 /-2, x<-5

Answer:

45.44$

Step-by-step explanation:

5 shirts becomes

4 shirts= 20$

1 shirt= 9.95$

29.95$

3 necklaces becomes

2 necklaces= 10$

1 necklace= 5.49$

15.49$

29.95$+15.49$=

45.44$

Answer:

11

Step-by-step explanation:

Let the number be x,

2x+4 = 3x-7

Collect like terms

2x-3x= -4-7

-x =. -11

Multiply both sides by -1

x. =. 11

Oh and I think you made a typo and missed the 2, " if you multiply the number by 2 to end at 4..........."

Hope This Helps :)

The number of pillows requiring \(\frac{2}{3}\) yards that can be made from \(3\frac{1}{3}\) yards is 5. Thus the right answer to the given question is C.

Material required for making one pillow = \(\frac{2}{3}\) yards

Total material = \(3\frac{1}{3}\) yards

To find the number of pillows made we have to divide the material required for one pillow by the total material available to Kevin for making pillows

Number of pillows = \(3\frac{1}{3}\) ÷ \(\frac{2}{3}\)

=  \(\frac{10}{3}\) ÷ \(\frac{2}{3}\)

To divide two fractions, we take the reciprocal of the second number and multiply it by the first number.

=  \(\frac{10}{3}\) * \(\frac{3}{2}\)

= 5

Thus, the number of pillows made is 5.

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The values of p for which the series ∑(n=1)^(∞) ((-1)^n / (n^p)) converges conditionally are p > 0.

To determine the values of p for which the series ∑(n=1)^(∞) ((-1)^n / (n^p)) converges conditionally, we can apply the alternating series test.

According to the alternating series test, a series of the form ∑((-1)^n * b_n) converges conditionally if:

1. The terms b_n are positive and decreasing (|b_n+1| ≤ |b_n|), and

2. The limit of b_n as n approaches infinity is 0 (lim(n→∞) b_n = 0).

In this case, our terms are b_n = 1 / (n^p). Let's check these conditions:

1. The terms are positive and decreasing:

  To satisfy this condition, we need to show that |(1 / ((n+1)^p))| ≤ |(1 / (n^p))| for all n.

  Taking the ratio of consecutive terms:

  |(1 / ((n+1)^p)) / (1 / (n^p))| = (n^p) / ((n+1)^p) = (n / (n+1))^p.

Since (n / (n+1)) is less than 1 for all n, raising it to the power p will still be less than 1 for p > 0. Therefore, the terms are positive and decreasing.

2. The limit of the terms as n approaches infinity is 0:

  lim(n→∞) (1 / (n^p)) = 0 for p > 0.

Based on the conditions of the alternating series test, the series converges conditionally for p > 0.

Therefore, the values of p for which the series ∑(n=1)^(∞) ((-1)^n / (n^p)) converges conditionally are p > 0.

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The required expression for part A ⇒ 2x(3x-8)

The required expression for part B ⇒2x(3x-8)

Part A:

The area of the rectangular space is given by the expression 6x²-16x, which is equal to the length times the width. We are given that the width of the rectangular space is 2x.

Therefore, we can write:

length x width = area

length x (2x) = 6x²-16x

length = (6x²-16x) / (2x)

Simplify the expression for length by factoring out 2x from the numerator:

length = 2x(3x-8)

So the expression for the length of the rectangular space is 2x(3x-8).

Part B:

To prove that our expression for the length is correct, we can multiply it by the width and show that we get the original expression for the area:

length x width = 2x(3x-8) x (2x)

                        = 4x²(3x-8)

                        = 12x³ - 32x²

Now we can compare this result with the original expression for the area, which is 6x²-16x.

We can simplify the original expression by factoring out 2x:

6x²-16x = 2x(3x-8)

We can see that the expression we obtained by multiplying the length and the width is equivalent to the original expression for the area, so our expression for the length is correct.

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Answer:

627 miles north

747 miles east

Step-by-step explanation:

Bearing angles are measured east of north, so in (N, E) coordinates, the final position of the plane is ...

 (1.5 h)(650 mi/h)(cos(50°), sin(50°)) = (975cos(50°), 975sin(50°)) mi

 = (626.72, 746.89) mi

The plane will be 627 miles north and 747 miles east of its point of departure.

Answer:

0.2611

Step-by-step explanation:

Given the following information :

Normal distribution:

Mean (m) length of time per call = 3.5 minutes

Standard deviation (sd) = 0.7 minutes

Probability that length of calls last between 3.5 and 4.0 minutes :

P(3.5 < x < 4):

Find z- score of 3.5:

z = (x - m) / sd

x = 3.5

z = (3.5 - 3.5) / 0.7 = 0

x = 4

z = (4.0 - 3.5) / 0.7 = 0.5 / 0.7 = 0.71

P(3.5 < x < 4) = P( 0 < z < 0.714)

From the z - distribution table :

0 = 0.500

0.71 = very close to 0.7611

(0.7611 - 0.5000) = 0.2611

P(3.5 < x < 4) = P( 0 < z < 0.714) = 0.2611

Answer:

3 green apples and 7 red apples.

Step-by-step explanation:

1. Start with the ratio of green apples to red apples, which is 3 to 7.

2. Multiply 3 (the number of green apples) by any number to get a number that is divisible by 7 (the number of red apples).

3. In this case, multiplying 3 by 2 gives 6, which is divisible by 7.

4. Since 6 is divisible by 7, that means that the solution is 3 green apples and 7 red apples.

Answer:

46/10 or 23/5

Step-by-step explanation:

Answer:

46/10

Step-by-step explanation:

I got it right on imagine math

Some of the advantages of using a credit card instead of a debit card include:

A credit card is a line of credit offered to a customer by a financial institution, enabling them to make credit purchases.

The credit purchases are paid by the financial institution while the customer repays the institution periodically at an interest rate.

On the other hand, a debit card involves a card linked to the individual's account from which deductions are made when purchases are made.  The debit card does not involve the grant of a line of credit since the available funds are required to fund any purchases.

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Answer:

# equel x to get 6 to get13

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Matrix factorization is a method that reduces the dimensionality of a rating matrix, revealing latent factors and enabling clustering in recommendation systems and data analysis.

Matrix factorization is a popular technique used in recommendation systems and data analysis. Its basic intuition lies in decomposing a large rating matrix into lower-dimensional matrices, allowing for better understanding and utilization of the underlying data.

One key intuition is that matrix factorization provides a way to represent users and items in a shared low-dimensional space. By factorizing the rating matrix, we can identify latent factors or features that capture the preferences and characteristics of both users and items. These factors can be computed from the rating matrix and enable a compact representation of the data.

Another insight is that matrix factorization allows for clustering of users and items. By factoring the user and item matrices, we can partition them into clusters based on similar characteristics. This clustering enables us to treat users or items within the same cluster identically, reducing computational complexity and making recommendations more efficient by retaining representative users or items in each cluster.

Furthermore, matrix factorization reveals that content filtering and collaborative filtering are two different factorizations of the same rating matrix. Content filtering focuses on the attributes of items, while collaborative filtering analyzes user-item interactions. By factorizing the matrix, we can bridge the gap between these two approaches and gain a more comprehensive understanding of the data.

Therefore, the basic intuition behind matrix factorization lies in finding a lower-dimensional representation of the rating matrix, identifying latent factors, enabling clustering of users and items, and providing a shared space to describe them. This technique proves valuable in recommendation systems, data analysis, and uncovering hidden patterns within complex datasets.

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Answer:

A

Step-by-step explanation:

Since it's the 100th term you multiply -5 by 100 and then you add the number together

Answer:

Step-by-step explanation:

Use the nth term formula:

Substitute values:

Correct choice is D

The unit digit of expression of \(317^{171}\) is \(3\).

The unit digit of a number exists as the digit in the one's place of the number. i.e It stands for the rightmost digit of the number. For example, the units digit 243 exists at 3, and the unit digit of 39 is 9.

In mathematics, an expression or mathematical expression exists as a finite combination of symbols that stands well-formed according to regulations that depend on the context.

To find the unit digit of \(317^{171}\), we consider only last digit.

Hence,

⇒\(7^{171}\)

⇒\((7^{3})^5^7\)

Since unit digit of the first three powers of \(7\), we get:

⇒\(7^{1}=7\)

⇒\(7^{2}=9\)

⇒\(7^{3}=3\)

Hence, Above equation can be written as,

⇒\((7^{3})^5^7\)

⇒\(7^{3}\) = \(343\)

Therefore, The unit digit of expression of \(317^{171}\) is \(3\).

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Answer:

there are 18 boys and 6 girls

Step-by-step explanation:

Answer:

V = 167.55 inches^3

Step-by-step explanation:

\(v = \frac{1}{3} \pi {r}^{2} \times h \\ v = \frac{1}{3} (3.14) \times ( {4})^{2} \times (10) \\ v = 167.55 \: \: \: {inches}^{3} \)

I hope that is useful for :)

Answer:

y=24

Step-by-step explanation:

since the triangles are similar, their sides are all in proportion

meaning:

\( \frac{20}{15} = \frac{32}{y} \)

simplify the fraction

\( \frac{4}{3} = \frac{32}{y} \)

cross multiply once the fraction is simplified

\(96 = 4y\)

y=24

Answer:

y = 24

Step-by-step explanation:

the first triangle 20 : x : 32

the 2nd triangle 15 : 21 : y

Solve the equation of two triangles by similarity

x = \(\frac{21 * 20}{15}\) = 28

y = \(\frac{21 * 32}{28}\) = 24

Options B, C and D will satisfy the given inequality by putting the values in the given inequality.

let's first try to understand what are inequalities.

An inequality in algebra is a mathematical statement that employs the inequality symbol to show how two expressions relate to one another. The phrases on either side of an inequality symbol are not equal. The phrase on the left should be larger or smaller than the expression on the right, or vice versa, according to this symbol. Relationships between two algebraic expressions that are represented by inequality symbols are referred to as literal inequalities.

If the symbols ">,"< ">=," "<=,"  are used to connect two real numbers or algebraic expressions, that relationship is referred to as an inequality.

We put Given values in inequality and then see whether inequality is true or not.

Inequality is 3x+y < = 6

first x = 4 y =3

3x+y <= 6

3*4 + 3 <= 6

15 <= 6 this is not true because 15 is greater than 6.

second x = -2 y =4

3x+y <= 6

3*-2 + 4 <= 6

-2 <= 6 this is true because -2 is less than 6.

third x = -5, y =-3

3x+y <= 6

3*-5 + -3 <= 6

-15 <= 6 this is true because -15 is less than 6.

fourth x = 3, y = -3

3x+y <= 6

3*3 - 3 <= 6

6 <= 6 this is true because 6 is equal to  6.

Given Question is incomplete Complete the Question here:

How do you determine ordered pairs are part of the solution set of inequalities ex: #3x+y<=6#

for A(4,3), B(-2,4), C(-5,-3), D(3,-3)?

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Answer:

\(\frac{-x^{2}+5x-1}{2x^{2} -x-1}\)

Step-by-step explanation:

The researcher who has 80 participants for a study that involves four experimental conditions and who assigns participants to conditions using matched random assignment will form 20 matched clusters or blocks before assigning participants to conditions.

Matched Random Assignment is the process of grouping participants based on their similarities (matching variables) before randomly assigning them to different treatment groups (experimental conditions) to ensure that the groups are similar in all aspects except for the independent variable. This helps to control for extraneous variables that might affect the outcome of the study.

The number of matched clusters or blocks formed in matched random assignment is equal to the number of treatment groups (experimental conditions).

Since the researcher has four experimental conditions, she will form four matched clusters or blocks before assigning participants to conditions.

Therefore, the number of matched clusters or blocks that she will form before assigning participants to conditions is:

4 experimental conditions x 5 matched participants per block= 20 matched clusters or blocks.

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Answer:

2 3/4 cups

Step-by-step explanation:

Jessica made 6 19/20 cups of punch. Her punch had two different types of juices in it. If the lunch had 4 1/5 cups of one type of juice, how many cups of the other type of juice did it have?

We solve this question using the Subtraction operation

Total cups = cups of first type of juice + cup of other type of juice

6 19/20 = 4 1/5 cups + x

x = 6 19/20 - 4 1/5 cups

Lowest Common Denominator = 20

x = 6 - 4 + (19/20 - 1/5)

x = 2 + (19 - 4/20)

x = 2 15/20 cups

x = 2 3/4 cups

Other type of juice had 2 3/4 cups of juice

Answer:

20 m

Step-by-step explanation:

If the seagull is 11 m above the surface, and the shark is 9 m below the surface, add the 11 m and 9 m to get the absolute value of the distance between the seagull and the shark

11 m + 9 m = 20 m

Answer:

x=7  DO=25  OG=35

Step-by-step explanation:

4x-3+2x+21=60            4(7)-3                  2(7)+21

4x+2x   -3+21                 28-3=25             14+21=35

6x+18=60                     DO=25                  OG=35

60-18=42

6x=42

42/6=7

x=7

The given model relates variable Y to constants C, l0, and G0, as well as variable T. The equation C = a + b(Y - T) represents the relationship between C and Y, with a positive constraint on parameter a.

In this model, the variable C represents consumption, while l0 and G0 represent exogenous variables. The equation C = a + b(Y - T) describes how consumption depends on the difference between Y and T, with parameters a and b determining the sensitivity of consumption to changes in Y and T.

The parameter a > 0 implies that there is a positive intercept in the consumption function, indicating a minimum level of consumption even when Y - T is zero. The parameter b determines the slope of the consumption function and reflects the responsiveness of consumption to changes in Y - T.

Overall, this model provides a framework for analyzing the relationship between consumption, income, and exogenous variables, and the parameters a and b play a crucial role in determining the behavior of the consumption function.

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A 94.6 L gasoline with a density of 0.680 g/cm^3 has a mass of 64328 g.

Density is defined as the ratio between the mass of a substance and the volume it occupies. Denoted by ρ, density is mass per unit volume and the formula is given below:

ρ =  mass / volume

Converting first the volume from L to cm^3.

1 L = 1000 cm^3

94.6 L = 94.6(1000 cm^3)

94.6 L = 94,600 cm^3

Given the density of the gasoline and its volume, solve for the mass of the gasoline using the formula for the density.

ρ =  mass / volume

0.680 g/cm^3 = mass / 94,600 cm^3

mass = 0.680 g/cm^3 (94,600 cm^3)

mass = 64328 g

mass = 64.328 kg

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Answer:

#1

Step-by-step explanation:

Answer:

  B.  20 square units

Step-by-step explanation:

You want a graph and the area of figure ABCD with points A(-7,-5), B(-2,-5), C(-2,-1), D(-7,-1).

The attachment shows a graph of the points and the rectangle they define. The side lengths of the rectangle can be found from the coordinates, or by counting grid squares.

The rectangle is 5 units wide and 4 units high.

The area is the product of length and width:

  A = LW = (5 units)(4 units) = 20 units²

The area of ABCD is 20 square units.