There are five books each books weight 1/10 how much do all the five books weight

Answer:

C. $15.75

Step-by-step explanation:

If one costs $1.05, 15 would be:

15 (1.05) = 15.75

Answer:

15.75

Step-by-step explanation:

1.05 a gallon times 15 gallons is 15.75

Answer:

Below

Step-by-step explanation:

Find unit rate (since it starts at 0,0)

at 45 seconds  it is 900 bottles

             900 bottles / 45 seconds = 20 bottle / sec

20 bottles / sec * 80 sec = 1600 bottles

The sum of the infinite geometric sequence is 3 3/4

From the question, we have the following parameters that can be used in our computation:

The geometric sequence

In the geometric sequence, we have

First term, a = 3/5¹⁻¹

a = 3

Also, we have

Common ratio, r = 1/5

The sum of the infinite geometric sequence is calculated as

Sum = a/(1 -  r)

So, we have

Sum = 3/(1 -  1/5)

Evaluate

Sum = 3 3/4

Hence, the sum of the infinite geometric sequence is 3 3/4

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Step-by-step explanation:

The given problem can be solved by using the properties of parabola.

The statements are true about the function and its graph are as follows;

The value of the function when f(-10) is 82.

The value of a is 1/5 which is positive then the parabola opens upward.

The graph contains the point (20, –8)

Given that,

Consider the quadratic function;

\rm f(x) =\dfrac{1}{5}x^2 -5x + 12.f(x)=51x2−5x+12.

We have to determine,

Which statements are true about the function and its graph?

According to the question,

The quadratic function;

\rm f(x) =\dfrac{1}{5}x^2 -5x + 12.f(x)=51x2−5x+12.

1. The value of the function when f(-10) is,

\begin{gathered}\rm f(x) =\dfrac{1}{5}x^2 -5x + 12\\\\f(-10) = \dfrac{1}{5}(-10)^2 -5(-10)+ 12\\\\ f(-10) = \dfrac{1}{5}(100) +50+ 12\\\\ f(-10) =20 +62\\\\ f(-10) = 82\end{gathered}f(x)=51x2−5x+12f(−10)=51(−10)2−5(−10)+12f(−10)=51(100)+50+12f(−10)=20+62f(−10)=82

The value of the function when f(-10) is 82.

2. The graph of the function opens down

.\rm f(x) =\dfrac{1}{5}x^2 -5x + 12.f(x)=51x2−5x+12.

The value of a is 1/5 which is positive then the parabola opens upward.

3.  The graph contains the point f(x) = 20,

\begin{gathered}\rm f(x) =\dfrac{1}{5}x^2 -5x + 12\\\\f(20) =\dfrac{1}{5}(20)^2 -5(20) + 12\\\\f(20) =\dfrac{1}{5}400 -100 + 12\\\\f(20) =80 -100 + 12\\\\f(20)= -20+12\\\\f(20)=-8\end{gathered}f(x)=51x2−5x+12f(20)=51(20)2−5(20)+12f(20)=51400−100+12f(20)=80−100+12f(20)=−20+12f(20)=−8

The graph contains the point (20, –8)

4. The graph contains the point f(x) = 0,

\begin{gathered}\rm f(x) =\dfrac{1}{5}x^2 -5x + 12\\\\f(0) =\dfrac{1}{5}(0)^2 -5(0) + 12\\\\f(0) =\dfrac{1}{5}0 -0 + 12\\\\f(0) =0 -0 + 12\\\\f(0)= 12\end{gathered}f(x)=51x2−5x+12f(0)=51(0)2−5(0)+12f(0)=510−0+12f(0)=0−0+12f(0)=12

The graph contains the point (0, 12).

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Answer:

\(a(1) = 144\)

\(a(n) = 144{( - \frac{1}{6} )}^{n - 1} \)

\(a(n) = - \frac{1}{6} a(n - 1)\)

Therefore , the solution of the given problem of unitary method comes out to be Daisy cream and Kremlin cream both have less cream per bulk 1 gallon and 4.5 gallons, respectively than Marble cream.

The objective can be accomplished by utilising what has already been discovered, taking advantage of this worldwide access, and including all essential components from earlier changeable study who employed a certain technique. If the anticipated claim outcome actually occurs, it will either be possible to contact the variable again or both important processes will undoubtedly miss the statement.

Here,

We must convert cups to gallons because daisy cream is sold in bulks of cups. Since a gallon of Daisy cream comprises 16 cups, one quantity of Daisy cream contains:

=> 16 cups per bulk = 1 gallon 16 cups per bulk = 1 gallon

Moscow cream is offered in bulk quantities of 4 1/2 gallons, which is one gallon.

Thus, we must convert pints to gallons. A gallon of Marble cream comprises eight pints, hence one quantity of Marble cream contains:

=> 40 pints in a bulk equal 1 gallon, 8 pints, or 5 gallons.

As a result, we can see that Marble cream, with 5 gallons per bulk, has the most cream.

Daisy cream and Kremlin cream both have less cream per bulk (1 gallon and 4.5 gallons, respectively) than Marble cream.

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Answer:

1681 for area of rectangle

Answer:

hope it helps

Step-by-step explanation:

From the graph, we can find the interval in which the function is increasing.

If we draw a tangent line at points on the curve,

• the function is ,increasing, if the tangent line has a ,positive slope,.

• the function is ,decreasing, if the tangent line has a ,negative slope.

Check the image below for further clarification:

Now, following the curve from left to right, we can see that the function is increasing from left hand side (negative infinity) until x = - 4.

Thus, the function is increasing in the interval:

Note:

From - 4 to 1, the function is neither increasing nor decreasing (slope is 0)

From 1 towards infinity, the function is decreasing

Answer:

(negative infinity, -4)

Step-by-step explanation:

Plato/Edmentum

I think that the answer is 123

Answer:

all real numbers

Step-by-step explanation:

if you subtract x from both sides, you get x=x. This is true for basically any number

the length of the radius of the cylindrical can will be  5 cm approx.

Volume, which is measured in cubic units, is the 3-dimensional space occupied by matter or encircled by a surface. The cubic meter (m3), a derived unit, is the SI unit of volume. Volume is another word for capacity.

Given, You have a can that is in the shape of a cylinder. It has a volume of about 1,728 cubic centimeters. The height of the can is 22 centimeters.

From the general formula of the volume of cylinder:

Volume = pi * r² *h

Where r = radius

h = height

in our case

1728 = 3.14 * radius² * 22

radius² = 1728/3.14*22

radius = √25.01

radius = 5.004

Therefore, the length of the radius of the cylinder will be  5 cm approx.

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Answer:

71, 72, 73

Step-by-step explanation:

So we want to find three consecutive integers that equal 216.

Let the first integer be n.

Then the second integer is n+1, and the third integer is n+2.

Thus:

\(n+(n+1)+(n+2)=216\)

Combine like terms:

\(3n+3=216\)

Subtract 3 from both sides:

\(3n=213\\\)

Divide 3 from both sides:

\(n=71\)

So, the first term is 71.

And the other two is 72 and 73.

And we are done :)

Applying the congruent chords theorem, the value of x is: 7.

Length of segment LP is: 6 units.

In geometry, a chord is defined as the line segment that joins two points on the circumference of a circle.

In a circle, if two chords are congruent, then they are equidistant from the center of a circle, according to the congruent chords theorem.

In the circle given, chords JK = LM = 12 units. This means both chords are congruent, therefore, they are equidistant from the center of the circle S.

According to the congruent chords theorem, NS = PS, thus:

8 = 2x - 6

8 + 6 = 2x

14 = 2x

Divide both sides by 2

14/2 = 2x/2

7 = x

x = 7

LP = 1/2(12)

LP = 6 units.

In summary, applying the congruent chords theorem, the value of x is: 7.

Length of segment LP is: 6 units.

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Answer:

D. 24 inches

Step-by-step explanation:

the answer is 24 inches

Check the picture below.

\(\sin( \theta )=\cfrac{\stackrel{opposite}{0.5}}{\underset{hypotenuse}{0.64}} \implies \sin^{-1}(~~\sin( \theta )~~) =\sin^{-1}\left( \cfrac{0.5}{0.64} \right) \\\\\\ \theta =\sin^{-1}\left( \cfrac{0.5}{0.64} \right)\implies \theta \approx 51.4^o\)

Make sure your calculator is in Degree mode.

The process that will create a congruent figure is a translation of four units up, followed by a rotation (option B).

A figure is said to be congruent with another if they both have the same shape and the dimensions are the same. This means the figures are almost identical, although it is allowed that they are a reflection or that they are placed in the opposite direction.

Based on this, to create a congruent figure you need to translate the original figure and rotate it but not change its size (option B).

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The percentage decrease of the depth of the lake from January to August is 20%.

The difference between the initial and final numbers is shown as a percentage reduction. It displays a percentage loss of value compared to the original regardless of the units. The decrease is equal to the initial amount less the final amount.

Given,

The depth of lake in January = 943 feet

The depth of lake in August = 754.4 feet

The difference is = (943-754.4) feet

                             = 186.6 feet

So, the percentage decrease of the depth of the lake from January to August will be =  (186.6 ÷ 943) × 100

                        = 20%

Therefore, the answer is 20%.

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For the given number 4 x 5³/₈. The whole part is 4 and the fraction part is 5³/₈. Both are added together to form a fraction of 43/8.

An inappropriate fraction can be created by converting a mixed fraction. Follow the instructions below to accomplish that.

For the given number 4 x 5³/₈.

The whole part is 4.

The fraction part is 5³/₈.

Solving the mixed fraction:

= 5³/₈.

= (5*8 + 3) /8

Both are added together to form a fraction:

= 43/8

The final number becomes:

= 4 x 5³/₈

= 4 x 43/8

= 43/2

Thus, the result of the final number obtained is 43/2.

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(a) the experimental unit is materials for insulators, (b) There are 2 factors: Baking ( 4 levels ) and Cooling Method ( 2 Levels ), (c) The Response variable is whether the insulator breaks during adverse weather conditions.

What is the experimental unit?

An experimental unit, in an experimental study, is a physical entity that is the primary unit of interest in a specific research objective. Generally, the experimental unit is the person, animal, or object that is the subject of the experiment.

a).  Material for insulators.

The experimental unit is the unit of experimental material which is randomly assigned to receive a treatment. Here, we are exposing the materials of insulators to different conditions. Hence, they are the experimental units.

b). There are 2 factors: Baking (4 levels) and Cooling Method (2 Levels),

A factor of an experiment is a controlled independent variable whose levels are set by the experimenter. Thus, there are 2 factors or controlled independent variables namely, Baking and Cooling Conditions.

c). The Response variable is whether the insulator breaks during adverse weather conditions.

A response variable is a dependent variable that is being observed under certain specific conditions. Here, we are trying to examine the effect of cooling and baking on the breaking strength of the insulator material. Thus, the likelihood of insulator breakage is the Response variable.

Hence, (a) the experimental unit is materials for insulators, (b) There are 2 factors: Baking ( 4 levels ) and Cooling Method ( 2 Levels ), (c) The Response variable is whether the insulator breaks during adverse weather conditions.

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Answer:

7.33

Step-by-step explanation:

l/b=3/2

8.6/b=3/2

3b=8.6*2

b=17.2/3

b=7.33

The probability of spinning an even number, flipping tails, then spinning an odd number is:

1/9   (as fraction) or 11.11% (as percent)

To find the probability of spinning an even number, flipping tails, then spinning an odd number. We need to consider the individual probabilities. That is:

We have only one even number in the spinner, and that is 2. Thus,

P(even number) = 1/3

For a coin, the probability of head or tail is 1/2. Thus,

P(tail) = 1/2

We have two odd number in the spinner, and that is 1 and 3. Thus,

P(odd number) = 2/3

Therefore, the probability of spinning an even number, flipping tails, then spinning an odd number will be:

P(even, tail, odd) = 1/3 * 1/2 * 2/3

                            = 2/18

                            = 1/9   (as fraction)

In percent:

P(even, tail, odd) =  1/9 * 100

                            = 11.11%

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The linear cost function is C(x) = 15x + 3250 and the cost function in marginal cost: $15; 150 items cost $5500 to produce is $ 5500 .

Let C(x) is that the total value, and x is that the range of things.

The slope "m" is named the cost and "b" is named the charge.

The value of m is $15 and the price of "x" is 150.

Total cost of 150 items are $5500

Substitute all the values within the equation (1) , we get

   5500 = 15 (150) + b

    5500 = 2250 + b

    3250 = b

Hence , linear cost function is given by C(x) = 15x + 3250

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The mean absolute deviation is 0.75

To calculate the mean absolute deviation (M.A.D.), you need to find the average of the absolute differences between each data point and the mean of the data set

From the information given, we have that the data set is;

8 9 9 7 8 6 9 8

Let's calculate the mean, we get;

Mean = (8 + 9 + 9 + 7 + 8 + 6 + 9 + 8) / 8

Mean = 64 / 8

Divide the values

Mean = 8

Let's determine the absolute difference, we get;

Absolute differences=

|8 - 8| = 0

|9 - 8| = 1

|9 - 8| = 1

|7 - 8| = 1

|8 - 8| = 0

|6 - 8| = 2

|9 - 8| = 1

|8 - 8| = 0

Find the mean of the absolute differences:

Average of absolute differences = (0 + 1 + 1 + 1 + 0 + 2 + 1 + 0) / 8

Absolute difference = 6 / 8 = 0.75

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Answer:

-4, -6, -8, -10, -12, -14, -16

Step-by-step explanation: