The length of a base of a rectangular prism is 12 dm and the width is 5 dm. What should be the height of the rectangular prism be so that it's volume is smaller than the volume of a cube with a side of 9 dm? (for 30 points) will give you brainlyiest or smthing title

The required equation of the graph is y = x - 1.

How can we define the slope for a given line?
A line's slope in mathematics is defined as the ratio of the change in the y coordinate to the change in the x coordinate. Both the net change in the y-coordinate and the net change in the x-coordinate are denoted by y and x, respectively. Therefore, the relationship between the change in the y-coordinate and the change in the x-coordinate is provided by the formula m = change in y/change in x = Δy/Δx, where "m" is the slope of a line.
Mathematically, slope of a line = m = (y₂ - y₁)/(x₂ - x₁)
What is the y-intercept for a given line?
When a graph crosses the y-axis, that location is known as the y-intercept. It is, in other words, the value of y at x=0.
What is the general equation of a line?
The equation for a standard line is y = mx + c, where m is the slope and c is the y-intercept.

Given, the line passes through the points (-1, 0) and (0, 1).
Also, the y-intercept for the line = c = -1
Now, using the formula established in the literature, we get:
slope = m = (y₂ - y₁)/(x₂ - x₁) = (1 - 0)/(0 - (-1)) = 1/1 = 1
y-intercept = c = -1
Therefore, equation of the standard line is y = mx + c, thus y = (1*x) + (-1)
Thus, the required equation of the graph is y = x - 1.

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Answer:

(0,5)

Step-by-step explanation:

Answer:

(0, 4 )

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

given

4x + 5y = 20 ( subtract 4x from both sides )

5y = - 4x + 20 ( divide through by 5 )

y = - [tex]\frac{4}{5}[/tex] x + 4 ← in slope- intercept form

with y- intercept c = 4 or in coordinate form (0, 4 )

Answer:

1 and 2

and the greatest common divisor is 2

The scale factor of the dilation = 2.5

The original dimensions of the rectangle:

Length = 32 ft

Width = 8 ft

The dimensions of the rectangle after dilation:

Length = 80 ft

Width = 20 ft

Dilation is a transformation where the dimensions of the figure is enlarged by multiplying with a number. This number multiplied with all dimensions of the original figure is called its scale factor.

So the new dimension of the figure will be scale factor times the original dimensions of the figure.

Thus the scale factor can be defined as the ratio of larger dimension to the smaller dimension of a figure.

Hence the scale factor used here is the ratio of new length to the original length or the ratio of new width to the original width of the rectangle.

That is, scale factor = 80/32 = 20/8 = 2.5

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The unknown angles are as follows:

When parallel lines are cut by a transversal line, angle relationships are formed such as corresponding angles, linear angles, alternate angles etc.

Therefore,

∠1 = 110 degrees(given)

∠2 = 180 - 110 (sum of angles on a straight line)

∠2 = 70°

∠3 = ∠1 (vertically opposite angles)

Vertically opposite angles are congruent.

Therefore,

∠3 = 110°

∠2 = ∠4 (vertically opposite angles)

∠4 = 70°

∠1 = ∠5 (corresponding angles)

Corresponding angles are congruent

∠5 = 110°

∠6 = ∠4(alternate angles)

Alternate angles are congruent.

∠6 = 70°

∠1 = ∠7 (alternate exterior angles)

∠7 = 110°

∠2 = ∠8(alternate exterior angles)

∠8 = 70°

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The compound inequality which correctly shows the temperatures that are within the given range is; 32°F ≤ T ≤ 95.

It follows from the task content that the temperature outside is said to be between 32 degrees Fahrenheit and 95 degrees Fahrenheit and inclusively.

On this note, it follows from the statement above that the upper limit of the temperature is; 95°F while the lower limit is; 32°F.

Therefore, the required compound inequality is;

32°F ≤ T ≤ 95.

Ultimately, the required compound inequality which shows the temperature that are within the given range is; 32°F ≤ T ≤ 95.

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Answer:

Step-by-step explanation:

I think it might be C

but I'm sorry if I'm wrong

The smallest number of packets of buns that Jonathan could buy is  4.

An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division. 

We have,

Buns come in a packet of 6

Sausages come in a pack of 10

Burgers come in a pack of 8.

Sausage = 2 x burgers ____(1)

Buns = Sausages + Burgers _____(2)

The smallest number of packets of buns can be calculated when only one packet of Burgers is bought.

So,

Burgers = 1 pack = 8

From (1) and (2),

Sausage = 2 x 8 = 16

Buns = 16 + 8 = 24

Buns = 24

This can be put in 4 packets.

Thus,

The smallest number of packets of buns that Jonathan could buy is  4.

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According to the Empirical Rule, 99.7% percent of values in a normal distribution will fall between 1 standard deviations above the mean and 3 standard deviations above the mean.

The Empirical Rule is also referred to as the 68-95-99.7 rule and it can be defined as a statistical rule which states that:

In this context, we can reasonably infer and logically deduce that 99.7% of a normal distribution would fall within three (3) standard deviations of its mean in accordance with the Empirical Rule.

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Answer:

1000

Step-by-step explanation:

Hello!

Use the Quotient Property of Exponents to evaluate the expression:

[tex]\frac{a^b}{a^c} = a^{b-c[/tex]

In this case, a is 10, b is 5, and c is 2.

If we simplify 10³, we should get 1000.

The given relation is not a function.

What is  function?

A function is a relationship between inputs where each input is related to exactly one output.

Given that, (7, -17) , (5. 3) , (7, 3)

Here 7 is connected with two elements i.e. -17 and 3 but the condition of a function is that one element must be related to only one element of another set.

Hence, the given relation is not a function.

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The word sentence as an inequality phrase is -5[tex]\leq[/tex]30.

What is the inequality phrase?

An algebraic statement that uses the symbols less than (), less than or equal to (), larger than (>), or greater than or equal to () in place of the equal sign (=) is known as an inequality equation. How do you work out mathematical inequalities? Similar to how equations are solved, inequalities may be resolved by separating the variable and combining like terms.

Different types of inequalities

Equations that are linear

When the variables' highest exponent is power 1, inequality is said to be linear.

Triangle inequalities

A quadratic inequality is one in which the largest exponent is power 2, which is present in the inequality.

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In 6 days 285 miles can be travelled.

In general, the term "proportion" refers to a part, share, or amount that is compared to a total.

According to the concept of proportion, two ratios are in proportion when they are equal.

A mathematical comparison of two numbers is called a proportion. According to proportion, two sets of provided numbers are said to be directly proportional to one another if they increase or decrease in the same ratio. "::" or "=" are symbols used to indicate proportions.

Given:

190  miles cover in 4 days.

let x miles travelled in 6 days

So, using proportion

190/4 = x/6

190 x 6 = 4x

4x= 1440

x= 285 miles.

Hence, in 6 days 285 miles can be travelled.

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Answer: It is impossible for two obtuse angles to be a straight angle

Step-by-step explanation:

Definition of a straight angle: An angle that is exactly 180 degrees

Definition of obtuse angle: An angle that is more than 90 degrees

1)  X = obtuse angle

x > 90

Set minimum to test:

x = 91

2) Set up the question

(<= less than or equal to)

2x <= 180

3) Sub the first equation

2(91) <= 180

182 <= 180

4) Answer the question

It is impossible for two obtuse angles to be a straight angle

then the  generator is the element which can generate whole set

therefore U(49) has 12 generator

What is meant by cyclic group?

A cyclic group is a group that can be generated by a single element. (the group generator). Cyclic groups are Abelian.

the group u(49) is cyclic. using only the sage commands described previously, use sage to find a generator for this group.

elements of U(49) are {1,2,3,5,,7,11,,13,17,19,23,29,31,37,39,,41,47}

then the  generator is the element which can generate whole set

therefore U(49) has 12 generator

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Normal distributions are frequently employed in the natural and social sciences to describe real-valued regressors with uncertain distributions, normal distributions are essential to statistics.

The central limit theorem is one reason they are significant.

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The sequence of numbers, 7, 10, 17, 27, 44, 71, 115... in which each new term is given by the sum of the previous two terms, gives the sum of the first 10 terms as 1,265

A number sequence consists of a listing of numbers that are connected to each other by a rule.

The given sequence is presented as follows;

7, 10, 17, 27, 44, 71, 115..., [tex] a_{10}[/tex]

From the given sequence, we have;

a_n = a_{(n-1)} + a_{(n-2)}

The first 10 terms of the sequence is therefore;

7, 10, 17, 27, 44, 71, 115, (71+115), (115+(71+115)), ((71+115)+(115+(71+115)))

Which gives;

7, 10, 17, 27, 44, 71, 115, 186, 301, 487

The sum of the first 10 terms of the sequence is therefore;

7 + 10 + 17 + 27 + 44 + 71 + 115 + 186 + 301 + 487 = 1265

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Answer: a^24

Hope this helps you!

The value of m∠2 will be equal to 40°.

Transversal may be defined as a line which cuts two different lines which lie on the same plane at two different points. Alternate interior angles may be defined as the angles which are formed when a transversal cut the two different lines. These angles lie on the interior of the parallel lines, but they are on the opposite side of the transversal. If two parallel lines are cut by a transversal, then their alternate interior angles are equal. Thus, m∠1 = m∠2

4(x + 2) = 2x + 24

4x + 8 = 2x + 24

2x = 16

=> x = 16/2

=> x = 8

Now, m∠2 = 2x + 24

m∠2 = 2×8 + 24

m∠2 = 40° which is the required answer.

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Answer: 134 cars

Since Jeremy charges $15.00 per car and he plans to earn at least $2000, if we let 'x' be the number of cars, we will have:

Solving for x:

Since cars can only be counted as whole numbers, Jeremy would need to wash 134 cars to earn at least $2000

Each financial activities should be matched to their relevant management type within the wealth management phase as follows:

Cash management:

Credit and debt management:

Wealth management can be defined as an investment advisory service that is designed and developed to provide advices and solutions to meet the needs of a wide array of affluent clients, especially by combining other financial services.

Generally speaking, there are three (3) distinct phases of a person's financial activities and these include the following:

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Answer:

Cash management:

- keeping an emergency fund

- spending plans

- cash reserve

- recording income and spending

Credit and debt management:

- paying off credit cards

- stop credit misuse

- reducing credit use

- debt reduction

Step-by-step explanation:

correct on plato

Answer:

480 minutes

Step-by-step explanation:

that's your answer

Answer:

480 minutes.

Step-by-step explanation:

8×60=480.

Answer: Carlos started with 38 comic books.

Step-by-step explanation:

33 - 14 = 19

19 x 2 = 38

The income of the household having mean 80,000 and standard deviation 40,000 is 1,80,000

The mean of the Household income = 80,000

The median of the Household income = 50,000

Standard deviation of the household income = 40,000

Z- score of these household income = 2.5

Thus , the income of the household can be calculated by using the normal distribution formula    

                                    Z = (X - μ) /σ

where X is the income of the household

          μ is the mean of the household income

          σ is the standard deviation of the household income.

So, we can re-write this equation as

         X = Zσ + μ

Now, let us substitute the known values in the above equation , we get

        X = 2.5(40,000) + 80,000

        X = 1,00,000 + 80,000

       X = 1,80,000

Therefore, the income of the household is 1,80,000 .

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By using the same translation applied to point M, the image of point B' is equal to (12, 2).

In Geometry, a translation can be defined as a type of transformation which moves every point of a geometric figure (object) in the same direction, as well as for the same distance.

Since the x-coordinate moved from a negative to a positive sign, we know that point M was translated to the right and then shifted down because it moved from a negative to a negative sign on the y-coordinate.

Next, we would determine the translation rule that was applied to point M:

(x, y)                               →                  (x + n, y - z)

-3 + n = 6

n = 6 + 3

n = 9.

-5 - z = -1

z = -5 + 1

z = -4

Now, we can determine the image of B':

(x, y)                               →                  (x + n, y - z)

Point B (3, -2)                 →              Point B' (3 + 9, -2 - (-4)) = (12, 2).

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The amount of change Maria receives is 100y - np

What is Conversion rate ?

A conversion rate is the ratio between two currencies, most commonly used in foreign exchange markets, which designates how much of one currency is needed to exchange for the equivalent value of another currency.

Given,

The cost of each pencil is = p

Maria buys = n pencils

so, the cost of n pencils is = np

She pays for the n pencils is = $y

Now, in question given that we need to find answer in cents

so, We know 1$ = 100 cents

By that, $y = 100y

Maria received the change is = 100y - np

Therefore,  the amount of change Maria receives is 100y - np

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Answer:

-40

Step-by-step explanation:

10/1*(-4)    Set up equation

10/1 * -4    Open up parentheses

10/1 =10    Next, divide 10 by 1

10*-4        Now, multiply 10 and -4

-40 Answer

Answer:

-40

Step-by-step explanation:

Given expression

[tex]\dfrac{10}{1} \cdot (-4)[/tex]

When dividing and multiplying, follow the order of operations and work from left to right.

Divide the numbers

When dividing anything by 1, the quotient is the numerator:

[tex]\implies \dfrac{10}{1} \cdot (-4)=10 \cdot (-4)[/tex]

Multiply the numbers

When multiplying a positive number by a negative number, the product is always negative:

[tex]\implies 10 \cdot (-4)=-40[/tex]

Answer:4554.21

Step-by-step explanation:

Explanation:

The tenths decimal place is right after the decimal point

7 is in the tenths place

The digit just to the right of 7 is 4

Since the 4 is not 5 or larger, this means we erase everything after the 7 and go with 3.7

If we had something like 3.76, then the 7 bumps up to 8 to get 3.8

The graph of the function f(x) = -7x - 64 will be a straight line.

A function may be defined as an expression in which for every input variable x there is only one output variable y. The input variable is called independent variable and output variable is called dependent variable. The function f(x) = -7x - 64 is in the form of linear equation in one variable as it is expressed in the form of f(x) = ax + b where a, b are coefficients and x are the independent variable. When we plot this function, we compare it from the slope intercept form of line that is y = mx + c where m is slope and c is y intercept. It will be a straight line having a negative slope which is equal to -7 and the y intercept will be equal to -64 as compared from slope intercept form. The graph of the function plotted is attached below. For x intercept we put f(x) = 0, so we get x intercept equal to -64/7. Coordinates of x intercept is (-64/7, 0) and that of y intercept is (0, -64).

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