Matias has a planter that is full of soil. The planter is a rectangular prism that is 1 1/2 ft high, 3 2/3 ft long, and 2 ft wide. Matias pours all the soil into a new planter. The new planter is a rectangular prism that has a base of 8 1/4. What is the height of the soil in the new planter

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Answer:

[tex]\frac{t^6u^4w^{10}}{v}[/tex]

Step-by-step explanation:

1.) Simplify. Anything to the power of 0 is equal to 1, meaning that you don't have to pay attention to those variables. This brings us with [tex]t^5u^7v^{-1}wtu^{-3}w^9[/tex].

2.) Combine common powers. When you multiply, you add the exponents. This brings us with [tex]t^6u^4w^{10}v^{-1}[/tex].

3.) Finally, negative exponents can be brought to the denominator, so we get [tex]\frac{t^6u^4w^{10}}{v}[/tex].

After solving the given expression, the value obtained will be equal to 7/12.

The four fundamental operations of arithmetic are addition, subtraction, multiplication, and division of two or even more items.

Included in them is the study of integers, especially the order of operations, which is important for all other areas of mathematics, notably algebra, data management, and geometry.

As per the given fraction in the question,

4/6 - 1/12

Take LCM as 12 and then solve,

= (8 - 1)/12

= 7/12

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The 4th term and the 6th term in the sequence are 1 and 5/6

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

Tn= (4 + n)/2n

The 4th term and the 6th term in the sequence means that

n = 4 and n = 6

Substitute the known values in the above equation, so, we have the following representation

n = 4:

T(4) = (4 + 4)/2(4)

Evaluate

T(4) = 1

n = 6:

T(6) = (4 + 6)/2(6)

Evaluate

T(6) = 5/6

Hence, the terms are 1 and 5/6

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Jaylen and Ryan will have same amount of money after 12 weeks .

Let the no of weeks after which both of them will have equal amount be x

therefore, after x weeks the amount of money in

Jaylen's account = 340 + 15x

Ryan's account = 220+ 25x

Now, since these amount is equal

therefore,

340 + 15x = 220+ 25x

on solving this equation we get ,

=>340 - 220 = 25 x - 15x

=> 120 =10x

=> x = 12

First order equations include linear equations. In the coordinate system, the linear equations are defined for lines. A linear equation in one variable is one in which there is a homogeneous variable of degree 1 (i.e., only one variable).

Multiple variables may be present in a linear equation. Linear equations in two variables, for example, are used when a linear equation contains two variables. Examples of linear equations include 2x - 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, and 3x - y + z = 3.

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The total amount of money that they hared is 13000.

What is amount?

The amount of something is how much there is, or how much you have, need, or get. He needs that amount of money to survive. [ + of] I still do a certain amount of work for them.

Ann, ben and cheryl hare ome money in the ratio 3:7:10

Ben receive £650 more than Ann.

Ann = 3*650=1950

ben= 7*650=4550

cheryl hare ome = 10*650= 6500

The total amount of money that they hared 1950+4550+6500= 13000.

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to get the slope of any straight line, we simply need two points off of it, for Juliana and Emiliano let's use those points in the picture below.

[tex]\stackrel{\textit{\LARGE Juliana}}{(\stackrel{x_1}{2}~,~\stackrel{y_1}{1})\qquad (\stackrel{x_2}{4}~,~\stackrel{y_2}{2})} ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{2}-\stackrel{y1}{1}}}{\underset{run} {\underset{x_2}{4}-\underset{x_1}{2}}} \implies {\Large \begin{array}{llll} \cfrac{1 }{ 2 } \end{array}} \\\\[-0.35em] ~\dotfill[/tex]

[tex]\stackrel{\textit{\LARGE Emiliano}}{(\stackrel{x_1}{1\frac{1}{2}}~,~\stackrel{y_1}{1})\qquad (\stackrel{x_2}{4\frac{1}{2}}~,~\stackrel{y_2}{3})} ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{3}-\stackrel{y1}{1}}}{\underset{run} {\underset{x_2}{4\frac{1}{2}}-\underset{x_1}{1\frac{1}{2}}}}\implies {\Large \begin{array}{llll} \cfrac{2}{3} \end{array}}[/tex]

Answer:

93.331 ft

Step-by-step explanation:

Use the trigonometric function sine (opposite/hypotenuse)

sin(59) = 80

   1           x

You can switch x and sin(59)

x =     80  

     sin(59)

Plug into calculator

x = 93.331 ft

The equation is $1.75+$0.85m= $8.75, after solving the value m =8.24 miles.

An algebraic expression contains one or more variables along with numbers show the equality among them.

we use equation to determine an unknown value. we create equation based on a mathematical statement and finally solve it.

The following is the solution of equation of the statement given in question.

Given, fee per mile = $0.85

Charges = $1.75

Total cost of ride = $8.75

let, m is the number of miles travelled

Now, the equation is $1.75+$0.85m = $8.75

                  after solving     0.85m = 7.00

                             m = 8.24 miles

hence, the Uber travelled 8.24 miles

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Answer:

no solution to the equation

Step-by-step explanation:

Answer:

no solution to the equation

Answer: increasing by 0.25

Step-by-step explanation:

The probabilities for the given problem is calculated as 0.081 and 0.06 respectively.

Probability is the branch of Mathematics that deals with the measurement of the chance of occurrence of a random event.

The probability of any event always lie in the close interval of 0 and 1 [0,1].

The zero value of probability indicates that the event will not happen while its value equal to one indicate that it will happen.

Given that,

There are 3 blue marbles, 5 red marbles and 4 green marbles.

Then, the total number of marbles is 12.

The given problem can be solved as follows,

Part A:

The probability of getting 1 blue and 2 green marbles is,

P( 1 blue and 2 green) = (³C₁ × ⁴C₂)/¹²C₃

                                     = ( 3 × 6)/ 220

                                     = 9/110

                                     = 0.081

Part B:

The probability of selecting one blue marble = 3/12 = 1/4

After one blue marble is selected, the remaining number of marbles is 11.

Thus, probability of selecting 3 red marbles is,

⁵C₃/¹¹C₃

= 10/165

= 0.06

Part C:

In the Part A the probability is calculated by taking the ratio of total number of ways of selecting 3 marbles and the number of ways of selecting 1 blue and 2 green marbles.

And, in Part B the number of ways is calculated from the remaining number of marbles after one blue marble is chosen.

Hence, the probabilities for the given parts in the question are 0.081 and 0.06 respectively.

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Answer:

13179

Step-by-step explanation:

It says half of the children are boys, which means division

26358 divided by 2 is 13179

Answer:

13,179

Step-by-step explanation:

the answer is 13,179 because 26,358 divided by 2 is 13,179

2=1/2

Answer:

[tex]\huge\boxed{\sf Option \ B}[/tex]

Step-by-step explanation:

= (2x + 4) - (3x² + 2x - 1)

Solve parenthesis

= 2x + 4 - 3x² - 2x + 1

Combine like terms

= -3x² + 2x - 2x + 4 + 1

[tex]\rule[225]{225}{2}[/tex]

Answer: -6 and 5

Step-by-step explanation:

-6 and 5

x+y = -1

xy = -30

x=-1-y

y(-1-y)=-30

-y^2-y=-30

-y^2-y+30=0

(y-5)(5+6)

y=5,-6

The image point of (9,3) after the transformation r x-axis is (-9, -3 ).

The transformation of a function may involve any change.

Usually, these can be shift horizontally (by transforming inputs) or vertically (by transforming output), stretching (multiplying outputs or inputs) etc.

Since we know that Horizontal shift (also called phase shift):

Left shift by c units:

y=f(x+c) (same output, but c units earlier)

Therefore, Under a counterclockwise

a point (x, y ) → (- x, - y ) , thus

(9, 3 )→ (-9, -3 )

Therefore, the image point of (9,3) after the transformation r x-axis is (-9, -3 ).

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Answer: A

Step-by-step explanation:

We see that the x is a right angle, so it must be a 90-degree angle!

For y, we know that a triangle has 180 degrees, we already know the other two angles are 90 and 64, add both together, equal 154.

180 - 154 = 26, so y is 26 degrees!

So the answer is A

Answer:

28

Step-by-step explanation:

[tex]80 \times \frac{35}{100 } \\ = 28[/tex]

Answer:

28

Step-by-step explanation:

From the given pie chart:

If a total of 80 people were surveyed, to find the number of people in the sample that chose blue, simply find 35% of 80:

[tex]\begin{aligned}\implies \sf 35\%\;of\;80 & = \sf \dfrac{35}{100} \times 80\\\\&= \sf \dfrac{35 \times 80}{100} \\\\&= \sf \dfrac{2800}{100} \\\\&=\sf 28\end{aligned}[/tex]

Therefore, 28 people from a total of 80 surveyed chose blue as their favorite color.

Answer: 1 Student

Step-by-step explanation:

Hope this helps!

Answer:

63.2%

Step-by-step explanation:

percentage increase= (Increase \ old number) * 100

= {(19 -7)/ 19} * 100

= (12\19) * 100

=63.16 %

Answer:

It should be 5/6

Step-by-step explanation:

:)rawr

Answer:

3

Step-by-step explanation:

5x = 6x - 3

6x - 5x = 3

x = 3

We will see that the amount of gasoline increased by 5.25 gallons over that five-day period.

Here we want to study the table to see the total change in the amount of gasoline over the five-day period.

Now we need to study the given graph:

Notice that each day we have the change of that particular day, then we just need to add all of these changes and we will get the total change.

Where the negative numbers mean that the gasoline was used, and the positive numbers represent a charge in the gasoline (so it increases).

C = -1.05 - 1.20 - 0.85 + 10.50 - 2.15 = 5.25

This means that, in total, the amount of gasoline increased by 5.25 gallons over that five-day period.

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The standard deviation of the scores is  6.48

For given set of scores,  88, 94, 80, 79, 74, and 83

Here, the number of observations = 6

The mean of the scores would be,

μ = Σx/n

μ = (88 + 94 + 80 + 79 + 74 + 83)/6

μ = 498/6

μ = 83

Using the formula of standard deviation,

σ = √((Xi−μ)^2)/n

σ = √[(88 - 83)² + (94 - 83)² + (80 - 83)² + (79 - 83)² + (74 - 83)² + (83 - 83)²]/6

σ = √(252/6)

σ = √42

σ = 6.48

Therefore,  the standard deviation = 6.48

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Answer: = 7 i believe

Step-by-step explanation:

2^3 (2 power by 3) x - 1 for 1 which is 7

Answer: Rose got the better deal!

Step-by-step explanation:

Rose got the better deal, she only spent .10 cents for every piece, while joe spent .15 cents and only got 10 pieces.

speed of plane's ground = 155.769 Km/h

Speed is the rate at which an object travels along a path over time, whereas velocity is the speed and direction of an item's motion. In other words, speed is a scalar value, but velocity is a vector.

Units of speed = meter per second

So ln [tex]$\triangle A O B$[/tex], we have

[tex]$$[/tex]A=65[tex]^{\circ}+45^{\circ}=110^{\circ} \\[/tex]

O A=[tex]150 \mathrm{~km} / \mathrm{h} \\[/tex]

A B=15 [tex]\mathrm{~km} / \mathrm{h}[/tex]

[tex]\end{aligned}[/tex]using cosine Rule

[tex]\cos A=\frac{O A^2+A B^2-O B^2}{2(O A)(A B)} \\[/tex]

[tex]\cos 110^{\circ}=\frac{(150)^2+(15)^2-O B^2}{2(150)(15)} \\[/tex]

[tex]4500 \cos 110^{\circ}=22500+225-0 B^2 \\[/tex]

[tex]-1539.09064=22725-0 B^2 \\[/tex]

[tex]O B^2=22725+1539.09064 \\[/tex]

[tex]O B^2=24,264.0906 \\[/tex]

[tex]O B=155.769351 \approx 155.769 \mathrm{~km} / \mathrm{hr} \\[/tex]

[tex]O B \approx 17 \mathrm{k}[/tex]

using sine rule

[tex]\frac{\sin (A O B)}{15}=\frac{\sin A}{O B} \\[/tex]

[tex]\frac{\sin (A O B)}{15}=\frac{\sin 110^{\circ}}{155.769351} \\[/tex]

[tex]\sin (A O B)=\frac{15 \sin 110^{\circ}}{155.769351}=\frac{14.0953893}{155.769351}[/tex]

[tex]\sin (A \cap B)=0.0904888491 \\[/tex]

[tex]A O B=\sin ^{-1}(0.0904888491) \\[/tex]

[tex]A D B=5.19173084^{\circ} \\[/tex]

[tex]A O B=5.2^{\circ}[/tex]

Direction of plane [tex]=65^{\circ}+5.2^{\circ} \\[/tex] = [tex]=70.2^{\circ}[/tex]

Direction N = 70.2° E

speed of plane's ground [tex]$=155.769 \mathrm{~km} / \mathrm{h}$[/tex]

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The solution is x²

The monomial that will make the expression as a square of a sum or a difference of trinomial is x²

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , a monomial that will make the expression as a square of a sum or a difference of trinomial is calculated as

(a-b)² = a² -2ab + b²

where a² = 36

taking square roots on both sides of the equation , we get

a = 6

-2ab = -12x

So , one of the variable is x

So , substituting the value of b = x , we get

( 6 - x )² = 36 - 12x + x²

Therefore , the value of the monomial is x²

Hence , The monomial that will make the expression as a square of a sum or a difference of trinomial is x²

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Answer:

c) 72-34=38

Step-by-step explanation: