m-4=2m
Help on two step equations
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The calculated volume of the prism is 702 cubic cm

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

The trapezoidal prism (see attachment)

The formula of the volume of a trapezoidal prism is

Volume = Base area * Height

Where we have

Base area = 1/2 * (8 + 10) * 6

Evaluate the sum of 8 and 10

Base area = 1/2 * 18 * 6

Evaluate the products of 1/2, 18 and 6

Base area = 54

Also, we have

Height = 13

So, the volume is calculated as

volume = 13 * 54

Evaluate

volume = 702

Hence, the volume of the prism is 702 cubic cm

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The  total cost for the group of ten people after discount is 10 t - 0.5 t.

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.

Variables are the name given to these symbols because they lack set values.

In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.

Given:

Discount = 5%

Total tickets= 10

We have t represents the cost of one ticket.

So, For 10 person the cost of the ticket = 10t

Now, after discount the price of tickets

= 5% of 10t

= 0.5 t

Hence, the total cost for the group of ten people after discount is 10 t - 0.5 t.

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Step-by-step explanation:

To compare the two amounts of fabric, we need to express them with a common denominator:

15/2 = 30/4

7 1/2 = 15/2

Now we can compare the two amounts:

30/4 > 15/2

This is true because 30/4 is equal to 7.5 yards, which is greater than 7.5 yards (or 15/2 yards) of silver fabric.

Therefore, Ms. Thompson needs more red fabric than silver fabric.

Answer:

5 cups

Step-by-step explanation:

HOPE THIS HELPS!!

Answer:

A voice type is a singing voice identified as having certain qualities or characteristics of vocal range, vocal weight, tessitura, vocal timbre, and vocal transition points, such as breaks and lifts within the voice.The purpose of the key signature is to minimize the number of such accidentals required to notate the music. The sequence of sharps or flats in key signatures is generally rigid in modern music notation. ... In a score containing more than one instrument, all the instruments are usually written with the same key signature.Bass, Baritone, Tenor, Alto, Mezzo-Soprano, and Soprano. If you've been part of a choir before, you're probably pretty familiar with these ranges.Image result for How do sharps or flats work on a scale?

A sharp symbol on a line or space in the key signature raises the notes on that line or space one semitone above the natural, and a flat lowers such notes one semitone. ... Each major and minor key has an associated key signature that sharpens or flattens the notes which are used in its scales

This should be it I think

Answer: 20

Step-by-step explanation: I can help with am explanation if you dm me:)

Answer:

C. 1/1,000

Step-by-step explanation:

yes or no ?

Answer:

option b

Because 3 can be taken out as a common number which is three vice versa off three the distributive property.

hope it helps ..if not you can reach out to me ....for better defination.

Note that the parameters of the graph a and graph b are given below.

Graph A - y=2(x-1)²

See graph attached.

Graph B - y = 1/2x² + 3

Vertex: The vertex of the function is (0, 3).

Axis of symmetry: The axis of symmetry is the vertical line passing through the vertex, which is x = 0.

Y-intercept: The y-intercept is the point where the graph intersects the y-axis. It is (0, 3).

Minimum or maximum: The coefficient of x² is positive, which means the parabola opens upwards, and therefore the function has a minimum value. The minimum value is 3.

Solutions: To find the solutions or roots of the quadratic equation, we need to set y or f(x) equal to zero and solve for x.

0 = 1/2 x² + 3

Subtracting 3 from both sides, we get:

-3 = 1/2 x²

Multiplying both sides by -2, we get:

6 = -x²

Taking the square root of both sides, we get:

x = ±√(-6)

Since the square root of a negative number is not a real number, the function has no real roots.

Minimum or maximum value: The minimum value of the function is 3.

Range: The range of the function is y ≥ 3, because the function has a minimum value of 3.

Domain: The domain of the function is all real numbers, because there are no restrictions on the values of x for which the function is defined.

Stretch/Shrink/Standard: The coefficient of x^2 is positive and less than 1, which means that the graph of the function is narrower than the graph of y = x². This is an example of a standard quadratic function that has been vertically compressed by a factor of 1/2.

See graph attached.


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Answer:

x = - \(\frac{3}{4}\) , x = 1

Step-by-step explanation:

4x² = x + 3 ← subtract x + 3 from both sides

4x² - x - 3 = 0 ← in standard form

consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.

product = 4 × - 3 = - 12 and sum = - 1

the factors are - 4 and + 3

use these factors to split the x- term

4x² - 4x + 3x - 3 = 0 ( factor the first/second and third/fourth terms )

4x(x - 1) + 3(x - 1) = 0 ← factor out (x - 1) from each term

(x - 1)(4x + 3) = 0 ← in factored form

equate each factor to zero and solve for x

4x + 3 = 0 ( subtract 3 from each side )

4x = - 3 ( divide both sides by 4 )

x = - \(\frac{3}{4}\)

x - 1 = 0 ( add 1 to both sides )

x = 1

solutions are x = - \(\frac{3}{4}\) , x = 1

Answer:

----------------------

Let the number of one-dollar coins be x and two-dollar coins be y.

Number of coins is 38:

Total worth of the coins is 54 dollars:

We have a system of equations. Solve it by elimination, subtract the equations side-by-side:

Find the value of x by substituting 16 for y:

The answer is

Explanation:

Total number of coins = 38

let number of one dollar coins be a

number of two dollar coins be b

Then,

a + b = 38

a = 38 - b .......(equation 1)

Also The total worth of the coins is 54 dollars.

a + 2b = 54 ......(equation 2)

Put equation 1 in equation 2 ,

a + 2b = 54

38 - b + 2b = 54

Move all terms containing b to the Left hand side of the equation.

-b + 2b = 54 - 38

b = 16

Now put value of b in equation 1.

a = 38 - b

a = 38 - 16

a = 22

Hence,

Answer:

x= 16

y= -13

Step-by-step explanation:

x+y=3

x-3y=-29

Eliminate x and subtract the equations

2y=-26

y= -13

Plug in y for first or second equation

x=16

Answer:

an estimate of 300000

Step-by-step explanation:

saw this and this is what my science teacher told me

Hope this helped :D

The graph of the function y = 2|x| is a vertical stretch by a factor of 2 of the parent function y = |x|.

The functions for this problem are defined as follows:

When a function is multiplied by 2, we have that it is vertically stretched by a factor of 2.

Hence the graph of the function y = 2|x| is a vertical stretch by a factor of 2 of the parent function y = |x|.

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Answer:

sin( 3pi/4 ) = -√2/2

So, B.

Answer:

y = -2/3 x - 13/3

Step-by-step explanation:

y = -2/3 x + 3/2

y = mx + b

m = -2/3

The slope of the given line is -2/3. Parallel lines have equal slopes, so our line also has slope -2/3.

m = -2/3

y = mx + b

y = -2/3 x + b

Substitute the given point for x and y and solve for b.

-7 = -2/3 (4) + b

-21/3 = -8/3 + b

b = -13/3

Answer: y = -2/3 x - 13/3

b) The 99% confidence interval for the population proportion is given as follows: (0.57, 0.68).

A confidence interval of proportions has the bounds given by the rule presented as follows:

\(\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}\)

In which the variables used to calculated these bounds are listed as follows:

The confidence level is of 99%, hence the critical value z is the value of Z that has a p-value of \(\frac{1+0.99}{2} = 0.995\), so the critical value is z = 2.575.

The parameters for this problem are given as follows:

\(n = 520, \pi = \frac{325}{520} = 0.625\)

Then the lower bound of the interval is given as follows:

\(0.625 - 2.575\sqrt{\frac{0.625(0.375)}{520}} = 0.57\)

The upper bound of the interval is given as follows:

\(0.625 + 2.575\sqrt{\frac{0.625(0.375)}{520}} = 0.68\)

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Answer:

Step-by-step explanation:

In this scenario, the confidence interval represents the possible range of differences in the proportion of employees who skip breakfast when free breakfast is offered and when it's not. A confidence interval that does not include zero indicates that there is statistically significant evidence to suggest a difference in proportions between these two groups.

Therefore, for the first interval (-0.44,-0.16), since it does not include zero, we can be confident that offering free breakfast results in a decrease in the proportion of employees who skip breakfast.

For the second interval (-0.25, 0.05), since it contains zero, we cannot be confident that there is a difference in the proportion of employees who skip breakfast between the two groups.

Similarly, for the third interval (-0.23, 0.15), since it contains zero, we cannot be confident that there is a difference in the proportion of employees who skip breakfast between the two groups.

So, the correct answer is:

For the interval (-0.44,-0.16), we can be confident that employees will skip breakfast less when free breakfast is offered than when it's not.

For the intervals (-0.25, 0.05) and (-0.23, 0.15), our confidence interval shows that there could be no difference in the proportion of employees who skip breakfast.

Answer:

100, 162, 262

Step-by-step explanation:

to find each number you add the previous number

4+10=14

10+14=24

14+24=38

24+38=62

38+62=100

62+100=162

100+162=262

triangle UTV similar with triangle YZX

Step-by-step explanation:

that mean UT/YZ = TV/ZX = UV/YX is the answer

Answer:

You are 14 years old.  Your cousin is 11 years old.

Step-by-step explanation:

Let x = cousin

Let x + 3 = you

x + x + 3 = 25

Solve out left side

2x + 3 = 25

Subtract both sides by 3

2x = 22

Divide both sides by 2

x = 11

11 + 3 = 14

Answer:

my age=14 years

my cousin's age=11 years

Step-by-step explanation:

x+3=my age

x     =cousin's age

x+x+3=25

2x+3  =25

      2x=25-3

      2x=22

        x=11

therefore cousin's age=11 years

my age =x+3

            =11+3

            =14 years

Hope you got this.

If you have any questions just ask me

Answer:

-------------------------

Apply the Triangle Inequality Theorem.

It states that:

We'll take the sum of two shortest sides and compare with the longest:

It confirms the theorem, without testing the other two sides (which is obvious) so the answer is yes.

The matching answer choice is e).

Step-by-step explanation:

70 to 85 % of his maximum

Maximum is estimated to be 220 - age  = 220 - 42 = 178

70% of this is 125

85 % is 89  151  

I believe I would go with the third choice  116-160 bpm

Answer:

three

Step-by-step explanation:

stem. is the tens place and the leaf is the. ones place

so you want to find 68 so you look in the stem column and look for six

in the row there are 6 numbers which mean:

60, 61, 67, 68, 68, 68

as you can see there is three 68 there for the answer ths 3

Answer:

c

Step-by-step explanation:

4 white marbles, 6 yellow marbles, 9 green marbles

Answer:

4 white marbles 6 yellow marbles and 9 green marbles

Answer:

-3

Step-by-step explanation:

there is a - outside of the |-3| so it would be -3

The expanded form of the expression is 10 + 9 + 0.3 + 0.00 + 0.005

He runs the 100 meters dash in 19.305 seconds.

Therefore, the seconds he runs the race can be represented in expanded form as follows:

Expanded form is a way to write a number by adding the value of its digits.

We can use a place value chart to think of the value of a number's digits.

Therefore,

19.305 in expanded form is as follows:

19.305 = 10 + 9 + 0.3 + 0.00 + 0.005

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