Let p = log10 x, q = log10 y, and r = log10 z. (The 10s are base numbers.)
Write the expression log10 (x / y^2 √z) in terms of p, q, and r.

Please show work! I have the answer ( p- (2q + 1/2 r) ), but I need to show my work.

The amount of force used to pull the cart from 60 N to 90 N, the new acceleration of the cart is, 1.5 m/s²

The definition of force is the pushing or pulling of anything. Push and pull are the result of two things interacting with one another. Stretch and crush are two more phrases that can be used to describe force.

Formula of force,

F = ma

Given that,

A man pulled a cart filled with stones that had a total mass of 60 kg

He increased the amount of force used to pull the cart from 60 N to 90 N

New acceleration of cart = ?

F  = ma

Old acceleration,

60  = 60a

a   =  1 m/s²

New acceleration,

90 = 60a

a   = 90/60

a   =  3/2

a   =  1.5 m/s²

Hence, the new acceleration is 1.5 m/s²

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Answer:

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Step-by-step explanation:

The bigger the numerator,the smaller it is.

Answer:

i agree <

Step-by-step explanation:

The surface area of a rectangular prism is calculated using the formula:

Let us assume that this is the surface area of the smaller box.

Now, let's represent the surface area of the bigger box by doubling the dimensions of the smaller box.

Let's simplify this by factoring out the common factors.

So the answer is option B (The larger gift box has a surface area 4 times as large as the smaller gift box).

Answer:

what exactly do i need to do ?????

Step-by-step explanation:

Answer:

20ab

Step-by-step explanation:

Answer

Check Explanation

Explanation

1) 3x = 2x + 50

3x - 2x = 50

x = 50

2) 6x = 2x + 44

6x - 2x = 44

4x = 44

Divide both sides by 4

(4x/4) = (44/4)

x = 11

3) 8x = 2x + 36

8x - 2x = 36

6x = 36

Divide both sides by 6

(6x/6) = (36/6)

x = 6

4) 4x = x + 18

4x - x = 18

3x = 18

Divide both sides by 3

(3x/3) = (18/3)

x = 6

5) 7x + 10 = 3x + 120

7x - 3x = 120 - 10

4x = 110

Divide both sides by 4

(4x/4) = (110/4)

x = 27.5

6) 20 + 2x = x + 56

2x - x = 56 - 20

x = 36

Hope this Helps!!!

The interpretation the transformation that creates the graph is 1 unit to the left and 4 units to the right.

The link between lines and points is described by a network's mathematical representation, a graph.

Given, that Figure X was transformed to produce Figure Y.

We must ascertain the transformation that is applied in this case.

The process of changing an existing graph or graphed equation to create a different version of the following graph is known as graph transformation. A vertical reflection crosses the x-axis vertically and a horizontal reflection crosses the y-axis horizontally of a graph.

A graph can be horizontally translated by moving the base graph to the left or right in the y-axis direction.

Just a little bit of a tilt to the left and upward is made to the graph.

Figure X undergoes a translation of translation 1 unit left and 4 units up.

Hence translation 1 unit left, and 4 units up is the transformation which accomplish the graph.

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The complete question is:

Figure Y is the result of a transformation on Figure X. Which transformation would accomplish this?

Answer:

Cylinder height = 10

Semi-circle height = 3

Cone height = 4

Step-by-step explanation:

The height of the cylinder is always going to be the long side. 6 is the diameter of its circle. Here is a list of variables:

Diameter, D = 6

Radius, r = 3

Slant height of cone, c = 5

To find the height of the cylinder, we will need to find the height's of the cone and semi-circle:

CONE (see image attached)

a² + b² = c²

3² + h² = 5²

h² = 25 - 9

h = √16

h = 4

SEMI-CIRCLE

h = radius

h = 3

CYLINDER

Cylinder height = total h - semi-circle h - cone h

h = 17 - 3 - 4

h = 10

I'm not sure if you're trying to solve for volume, so I'll end it here LOL. Hope this helps and have a great evening!

False, since the hypothenuse is the squared root of the sum of both sides squared. Actually, the hypothenuse is alwas the largest side.

The following pricing strategies could be ethical in many situations is price discrimination.

Predatory pricing is a strategy in which a company establishes a price that is too low to get new customers.

Price baiting is a strategy in which businesses make customers believe that they will have to pay less than the actual price of the product.

Price gouging is when a company puts a price that is too high for a product in a level that is not reasonable and this is considered to be unethical.

Price discrimination is a strategy in which businesses charge different prices to different customers based on what they believe that a group of customers would be willing to pay.

For example, when an airline sees that a specific route has a high demand, it increases the price of the ticket.

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Answer:

D. Price discrimination

The graph of the function is given by the image presented at the end of the answer.

The minimum value on the interval [-2,0] is given as follows:

y = -1 at x = -2.

The maximum value on the interval [-2,0] is given as follows:

y = 1 at x = 1.

The minimum value of a function in an interval is the lowest value of y assumed by the function.

The maximum value of a function in an interval is the lowest value of y assumed by the function.

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The correct value of 2f(a-1) is 2a^2 - 12a + 10.

To find the value of 2f(a-1), we need to substitute (a-1) into the function f(x) and then multiply the result by 2.

Given: f(x) = x^2 - 4x

Substituting (a-1) into the function:

f(a-1) = (a-1)^2 - 4(a-1)

Expanding and simplifying:

f(a-1) = (a^2 - 2a + 1) - (4a - 4)

f(a-1) = a^2 - 2a + 1 - 4a + 4

f(a-1) = a^2 - 6a + 5

Now, we multiply the result by 2:

2f(a-1) = 2(a^2 - 6a + 5)

Expanding:

2f(a-1) = 2a^2 - 12a + 10

Therefore, the value of 2f(a-1) is 2a^2 - 12a + 10.

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Answer:

On a number line, 1/6 would land in the exact middle between 0 and 2/6

Step-by-step explanation:

Not too sure what your question meant, but I hope my answer helped!

If it wasn't what you were looking for, please let me know and elaborate on your question and I'll be happy to help out! :)

Answer:

The box of 10 for $10.88 is better.

Step-by-step explanation:

10.88/10=$1.08

17.62/14=$1.26

Answer:

(3x+1)(x+9)

Step-by-step explanation:

Answer:

(3x+1)(x+9) is the answer

Examining at the triangles, the information given helped to get that RS is equal to 11.25

This is a term used in geometry to mean that the respective sides of the triangles are proportional and the corresponding angles of the triangles are congruent

Hence assuming the corresponding angles of the triangle are congruent then the side should be in proportions

Examining the figure shows that pair of equivalent sides are

AB and RS, BC and ST.

The solution is worked out using sides AB and RS, BC and ST

AB / BC = RS / ST

6 / 16 = RS / 30

30 * 6 = 16 * RS

RS = 180 / 16

RS = 45/4

RS = 11.25

hence  RS = 11.25

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Answer:

5 pizzas

Step-by-step explanation:

8people times 3slices = 24 slices needed

24slices/ 5 pizzas per box= 4.8   you cant buy 4.8 boxes of pizza, so you round it to 5 boxes.

Answer: There isn't enough roses to include even just one rose in every bouquet. In addition, the number of tulips in each bouquet would be more than the amount of roses.

Step-by-step explanation:

You would have two flowers per bouquet,

18 + 30= 48

48 / 2= 24 bouquets.

The height of balloon is 1.99 miles above the ground.

In the event when the line of sight is directed downhill from the horizontal line, an angle is created with it. Angle of depression is the angle produced between the horizontal line and the observer's line of sight when the object being observed is below the level of the observer.

Let's give the balloon's height above the earth and the distance it is from the first milepost horizontally a name.

We can state the following if the angle of this milepost's depression is 24 degrees:

Tan(24)=\(\frac{h}{b}\)

b = \(\frac{h}{tan(24)}\)

We can state the following for the following milepost as there will be (b+1)miles horizontal distance of and a 20 degree depression at that location.

tan(20)=\(\frac{h}{b+1}\)

b +1  = \(\frac{h}{tan(20)}\)

Therefore, substituting equation 1

\(\frac{h}{tan(24)}\) = \(\frac{h}{tan(20)} -1\)

1 =   \(\frac{h}{tan(20)}\) - \(\frac{h}{tan(24)}\)

1 = h× ( \(\frac{h}{tan(20)}\) - \(\frac{h}{tan(24)}\) )

h = 1.99 miles

Consequently, the height of balloon is 1.99 miles above the ground.

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Gender is categorical nominal, end-of-the-year stock classification is categorical and ordinal, and distance is quantitative and ratio.

Quantitative variables are measured with numbers. Some examples include:

Weight measured in kilos

The distance measured in meters or kilometers

Time measured in seconds or hours

On the other hand, a categorical variable is defined by features, categories, or concepts rather than numbers. Here is an example:

Breeds of dogs: Poodles, Boston Terriers, German shepherds, etc.

Moreover, variables can be classified as:

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Answer:

V=1/3*pi*radius(to the power of two)*height

Answer: 14 in squared

The interest paid for the loan is $1748

Given that there is a 6.1% interest rate for a loan of $28,654 in student loan debt pay in the first year,

We need to find the interest paid for the same.

So,

Simple Interest = principal × time × rate / 100

= 28654 × 1 × 6.1 / 100

= 28654 × 0.061

= 1747.894

= 1748

Hence the interest paid for the loan is $1748

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Reason:

The graph starts off very steep at x = 0. As x increases, the steepness goes down. Meaning the tangent lines become more shallow as you move to the right.

This tells us that the person learning the new task learns a lot at first. Then as time wears on, they learn less and less, until leveling off at some plateau.

If your teacher has covered derivatives, then you'll find the derivative of y = 1-e^(-0.28x) is dy/dx = 0.28e^(-0.28x)

Graph this derivative function using something like GeoGebra. Notice how the derivative curve is always decreasing. Therefore, x = 0 is when the derivative is largest, which points to the original function having the steepest increase (aka largest instantaneous rate of change).

See the graph below.

Answer:

2,160

Step-by-step explanation

x=12

18,000=100

x= 2,160

Answer:

600

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define

100 + 50 × 10

Step 2: Evaluate

Answer:

\(y = 19000x \\ 19000 = 1 \times 19000 \\ 114000 = 6 \times 114000 \\ 133000 = 7 \times 19000\)

Answer: 64% of the variability in weight can be explained by the relationship with height.

Step-by-step explanation:

Here, r= 0.80

\(\Rightarrow\ r^2= (0.80)^2=0.64\)

That means 64% of the variability in weight can be explained by the relationship with height.

The variability in weight is 64 % , explained by the relationship with height.

Correlation coefficients are always values between -1 and 1, where -1 shows a perfect, linear negative correlation, and 1 shows a perfect, linear positive correlation.

The correlation coefficient is measure the strength of the linear relationship between two variables in a correlation analysis.

Correlation coefficient is represented by r.

Given that, the correlation between height and weight for adults is 0.80.

                   \(r=0.8\)

The variability in weight is, = \(r^{2}=(0.8)^{2} =0.64\)

Thus, the variability in weight is 64 % , explained by the relationship with height.

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Answer: -24

Step-by-step explanation:

\(\frac{x}{3}=-8\\\frac{x}{3}(3)=-8(3)\\ x=-24\)

Answer:

Mrs. Hanson should order about 2.5 times as many crew neck shirts as raglan shirts.

Step-by-step explanation:

Answer:

Mrs. Hanson should order about 2.5 times as many crew neck shirts as raglan shirts.

Step-by-step explanation: