What is the value of the expression below when x 5 and y = 5? 6x — бу – -​

Answer:

The domain of √x - 1 is x ≥ 0

Step-by-step explanation:

The function f(x) = √x has real outputs only for x ≥ 0.  The constant -1 is defned for all x.  

The domain of √x - 1 is x ≥ 0.

Therefore, In the figure, a∥b  angle m∠7 = 34° .

An angle is a figure in Euclidean geometry made up of two rays that share a vertex, or common terminus, and are referred to as the sides of the angle. Angles of two rays lie in the plane containing the rays. Angles can also result from the intersection of two planes. Dihedral angles are the name given to them.

Here,

Given that a and b are parallel lines,

∠3 and ∠7  are corresponding angles and congruent

m∠3 = 34°

thus ,m∠7 =m∠3 = 34°

so, m∠7 = 34°

Therefore, In the figure, a∥b  m∠7 = 34° .

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Answer: Hi!

To solve this equation, we first distribute to the terms inside of the parentheses.

10*4 = 40

10*-3i = -30i

Our equation now looks like this:

40 - 30i

There is nothing left to simplify, so you're done!

Hope this helps!

Answer: sorry i cant help but i love the username

Step-by-step explanation:

For 8% p-value cutoff , Melissa should use 92% confidence interval

A confidence interval calculated for a treatment effect measure shows the range in which the true treatment effect is likely to fall.

A smaller sample size or higher variability will result in a wider confidence interval with a larger margin of error. The interval width is also influenced by the level of confidence. If you want a higher level of certainty, the interval should be wider.

The width of the confidence interval and the size of the p value are related.

The narrower the interval, the smaller the p value. The confidence interval, on the other hand, provides useful information about the likely magnitude of the effect under consideration as well as the accuracy of the estimate.

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Answer:

0.674

Step-by-step explanation:

Thermal conductivity is a property of a material that describes its ability to conduct heat. The maximum and minimum thermal conductivity values for the cermet are approximately 10.71 W/m-K and 19.92 W/m-K, the volume fractions and thermal conductivities of the titanium carbide (TiC) particles and the cobalt (Co) matrix.

Let's calculate these values step by step:

(a) Maximum Thermal Conductivity:
The volume fraction of TiC particles is given as 83%. This means that 83% of the cermet is made up of TiC particles, while the remaining 17% is cobalt.

To calculate the maximum thermal conductivity, we assume that the heat flows only through the cobalt matrix. The thermal conductivity of cobalt is given as 63 W/m-K.

Therefore, the maximum thermal conductivity is:
Max thermal conductivity = Volume fraction of cobalt x Thermal conductivity of cobalt
Max thermal conductivity = 0.17 x 63 W/m-K
Max thermal conductivity ≈ 10.71 W/m-K

(b) Minimum Thermal Conductivity:
The minimum thermal conductivity would occur when the heat flows only through the TiC particles. The thermal conductivity of TiC is given as 24 W/m-K.

Therefore, the minimum thermal conductivity is:
Min thermal conductivity = Volume fraction of TiC x Thermal conductivity of TiC
Min thermal conductivity = 0.83 x 24 W/m-K
Min thermal conductivity ≈ 19.92 W/m-K

So, the estimated maximum thermal conductivity value for the cermet is approximately 10.71 W/m-K, while the estimated minimum thermal conductivity value is around 19.92 W/m-K.

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Answer:

$43.20

Step-by-step explanation:

First, find the tax.

Multiply the tax rate by the cost of the item.

tax rate * item cost

The tax rate is 8% and the item costs $40

8% * 40

Convert 8% to a decimal. Divide 8 by 100 or move the decimal 2 places to the left.

8/100=0.08

8.0–> 0.8–> 0.08

0.08*40

Multiply

3.2

The tax is $3.20

Now, add the tax on to the cost of the item.

cost of item + tax

The item costs $40 and the tax is $3.20.

$40 + $3.20

Add

$43.20

The cost of the item after tax is $43.20

Answer:

$43.2

Step-by-step explanation:

given;

the price of an item=$40

tax rate =8%

now ,final rate= price of an item+ 8%of price of an item.

so, finalrate= $40+ 8% of $40

=$40+8/100×$40

=$40+$3.2

=$43.2 ....ans

The first model of inequality satisfy the problem i.e 2w + 2* 4w ≤ 106

A rectangle is a four-sided, two-dimensional flat shape. The opposite sides of a rectangle's four sides are parallel and equal to one another. It belongs to a category of quadrilaterals where each of the four angles is a straight angle or measures 90 degrees. A particular kind of parallelogram that has all of its angles equal is the rectangle. A square is a rectangle with four equally sized sides. Let's now explore the characteristics of the rectangle in this essay.

Rectangles' essential characteristics are as follows:

A rectangle is a parallelogram.

The Perimeter of the rectangle is 2a + 2b where a and b are the two sides

Now , if w is the width of the rectangle then, the length is 4w given in problem.

Perimeter,

2w + 2* 4w

As it is given in the problem

2w + 2* 4w ≤ 106

The first model of inequality satisfy the problem.

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Answer:

See belolw

Step-by-step explanation:

\(P=53\text{ft}\)

\(P = a+b+c\)

\(53=2x-15+x+1+3x-29\)

\(53=6x-43\)

\(96=6x\)

\(x=16\)

\(a=2x-15\)

\(a=2(16)-15\)

\(\boxed{a=17}\)

\(b=x+1\)

\(b=16+1\)

\(\boxed{b=17}\)

\(c=3x-29\)

\(c=3(16)-29\)

\(\boxed{c=19}\)

Answer:

1. x=16, a=17, b=17, c=19

2. k=-2

Step-by-step explanation:

1.

We can set up an equation where all the labeled sides add up to 53, and then find x:

(2x-15)+(x+1)+(3x-29)=53

6x-43=53

6x=96

x=16

Now that we know x, we can plug it back in to the expressions of the triangles to find their side lengths:

a=2(16)-15=17

b=16+1=17

c=3(16)-29=19

2.

Reminder: the slope of a line is its change in y over its change in x. We can then set up an equation:

\(\frac{2-k}{k-(-3)}=4\\\frac{2-k}{k+3}=4\\2-k=4k+12\\5k=-10\\k=-2\)

Answer:

X-2

Step-by-step explanation:

1 -1 -7 1 6

O -1 2 5 -6

1 -2 -5 6 0

+1

1 -1 -7 1 6

0 1 0 -7 -6

1 0 -7 -6 0

-1

1 -1 -7 1 6

0 2 2 10

1 1 5

-2

1 -1 -7 1 6

0 -2 6 -2 -2

1 -3 -1 1 4

+2

Between +2and -2 demos

The  function f(t) that describes this scenario will be A = -42.57t + 1399.28

This required linear expression will be given as A= mt + b

Writing the gallons of oil and the time taken as a coordinate point (A, t), these are given as (11, 931) and (18, 633)

m is the rate of change = 633-931/18-11

m = -298/7

m = -42.57

Get the intercept;

633 = -42.57(18) + b

633 = -766.29 + b

b = 1,399.28

Heence the  function f(t) that describes this scenario will be A = -42.57t + 1399.28

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Total times can give:-

One question can be answered by 2

Total persons=17(2)=34

Answer:

4/5x + 8/5 = g(x)

Step-by-step explanation:

−4x−6=−5y+2

Solve for y

Subtract 2 from each side

−4x−6-2=−5y+2-2

-4x -8 = -5y

Divide each side by -5

-4x/-5 -8/-5 = -5y/-5

4/5x + 8/5 = y

Replace y with g(x)

4/5x + 8/5 = g(x)

Answer:

Karen is 71 years old

Step-by-step explanation:

Known

Karen=Jack +35

Frank=1/2 Jack

Jenifer=Frank+17

If Jenifer=35

35=Frank+17

18 = Frank

18=1/2 Jack

36= Jack

Karen= Jack+35=36+35=71

The age of Karen using Algebra is calculated as: 53 years old

Let's start by assigning variables to the ages of Karen and Jack.

Let K be Karen's age.

Jack is 35 years younger than Karen and as such if Jack's age is J, then we have:

J = K - 35.

We're told that Frank is half of Jack's age, and if Frank's age is F, then we have:

F = 0.5J.

Now, Jennifer is 17 years older than Frank and since  Jennifer is 35 years old, we have:

J = F + 17

J = 0.5J + 17

0.5J = 17

J = 17/0.5

J = 35.

Thus:

35 = K - 35 + 17

K = 53

Therefore, Karen is 53 years old

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Answer:

21.21

Step-by-step explanation:

Area of a circle is A = π r^2

Variables:

r = 18/2 = 9

θ = 30 deg

Find the area:

A = π r^2

A = π 9^2

A = 254.47

Find the area of the sector:

θ/360 * A

= 30/360 * 254.47

= 21.21

Step-by-step explanation:

Use z-score table to find the z-score that corresponds to .7000   ( 70%)

approx   .525   s.d.  above the mean

  .525  * 10 =  5.25  points above 100   = 105.25

Solution: B. 1/2

Analysis

We are transforming triangle ABC to DFE. If we see the graph, we can see the measures of each side of the triangle, decrease by half. According to that, it would be 1/2 of the original measure.

Answer:

18:39 or 6:13

Step-by-step explanation:

Answer:

3:13

Step-by-step explanation:

the total number of players is 39

the number of 6th graders is 9

the ratio of 6th graders to total players is 9:39

=3:13

The formula to calculate surface area is 2(Length × Width) + 2(Length × Height) + 2(Width × Height) and the length, width, and height of the sandbox is required to calculate rectangular area.

To determine how much sand your cousin will need to fill the rectangular prism-shaped sandbox, we first need to calculate its volume. To do this, we need the dimensions of the sandbox (length, width, and height). The formula for the volume of a rectangular prism is:

Volume = Length × Width × Height

Once we have the volume, we can determine the amount of sand needed to fill the sandbox in cubic units.

To find out how much paint is needed to paint all six surfaces of the sandbox, we need to calculate its surface area. The formula for the surface area of a rectangular prism is:

Surface Area = 2(Length × Width) + 2(Length × Height) + 2(Width × Height)

Once we have the surface area, we can determine the amount of paint required, usually measured in square units. Note that the amount of paint needed also depends on the coverage rate of the paint, which is typically listed on the paint container.

Please provide the dimensions of the sandbox (length, width, and height) so I can provide specific calculations for the sand and paint required.

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Each transformation affects the shape and position of the graph. It is important to carefully consider the order of the transformations and their impact on the equation.

1. Horizontal Shift (c):
If there is a horizontal shift, the equation becomes y = (x - c)^3.
For example, if there is a shift of 2 units to the right, the equation would be y = (x - 2)^3.

2. Vertical Shift (d):
If there is a vertical shift, the equation becomes y = x^3 + d.
For example, if there is a shift of 3 units upwards, the equation would be y = x^3 + 3.

3. Vertical Stretch (a):
If there is a vertical stretch or compression, the equation becomes y = a * x^3.
For example, if there is a vertical stretch by a factor of 2, the equation would be y = 2 * x^3.

4. Reflection (along the x-axis):
If there is a reflection along the x-axis, the equation becomes y = -x^3.
This flips the graph of the original function upside down.

5. Reflection (along the y-axis):
If there is a reflection along the y-axis, the equation becomes y = (-x)^3.
This mirrors the graph of the original function.

6. Combined Transformations:
If there are multiple transformations, we can apply them in the order they are given. For example, if there is a vertical stretch by a factor of 2 and a horizontal shift of 3 units to the right, the equation would be y = 2 * (x - 3)^3.

Remember, each transformation affects the shape and position of the graph. It is important to carefully consider the order of the transformations and their impact on the equation.

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Average velocity is a fundamental concept in physics, and is used in a wide range of fields including mechanics, kinematics, and fluid dynamics. It is also used in everyday life to describe the motion of objects such as cars, planes, and people.

We calculate average velocity to measure the rate of change of an object's position over time. Average velocity is calculated by dividing the displacement of the object by the time it took to make that displacement. It tells us the object's overall speed and direction of motion during a given time interval.

Average velocity is particularly useful for describing the motion of objects that undergo non-uniform or changing motion, since it takes into account both the speed and direction of the motion. It can also be used to compare the motion of different objects or the same object at different times.

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Addition is one of the four fundamental mathematical operations. The correct option is E, None of these choices are correct.

Addition is one of the four fundamental mathematical operations, the others being subtraction, multiplication, and division. When two whole numbers are added together, the total quantity or sum of those values is obtained.

1. The annual premium cost for Michael's family is $5,260. The company pays 70% of the cost. Therefore, the cost he needs to may is,

30% of $5,260

= 0.30 × $5260

= $1578

Since the premium is needed to be paid in 52 week, therefore, the premium cost per week will be,

Premium cost = $1578/52 = $30.35

Hence, the correct option is C, $30.35.

2. Brenda annual premium is $3,500. Also, her medical bills is totaling to $12,000. Therefore, the total amount that is paid by the Brenda in purchasing Insurance and paying the bill is,

Amount Brenda spend = $3,500 + $12,000 = $15,500

The policy has a $500 deductible and pays 80% of all medical costs with a stop-loss provision of a limit of $4,000 for out-of-pocket expenses, after the deductible is paid. Therefore, the amount that she can get is,

Amount she can get = $500 + $4,000 = $4,500

Now, the amount that she needs to pay from her pocket is,

Amount = $15,500 - $4, 500  = $11,000

Hence, the correct option is E, None of these choices are correct.

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Based on the amount of water in the tub that Archimedes is draining as a function of time, the rate that the water drains is A. 72 liters per minute

The speed that the water drained is the same as the slope of the line. That slope can be found by the formula:

= Change in y / Change in x

Pick two points from the line;

(0, 360) and (5, 0)

The slope is:
= (0 - 360) / (5 - 0)

= -360 / 5

= - 72

This means that every minute, Archimedes  would have drained the water by 72 liters.

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Answer:

Step-by-step explanation:

The required class interval would show the class width of the data given. Thus choosing class width of 5, the appropriate class interval would be 6 - 15, 11 - 15, 16 - 20, 21 - 25, 26 - 30, 31 - 35, 36 - 40, 41 - 45, 46 - 50, 51 - 55, 56 - 60, 61 - 65, 66 - 70

The frequency table generated is herewith attached to this answer for better understanding.

Answer:

42 slices

Step-by-step explanation:

7 per loaf times 6 extras is 42

The question asks which of the given options are valid vector products. The options include different vector operations involving vectors A and B, such as scalar multiplication, dot The question asks which of the given options are valid vector products. The options include different vector operations involving vectors A and B, such as scalar multiplication, dot product, cross product, and magnitude calculations.

Among the given options, the valid vector products are C and E.

Option C represents the cross product of vectors A and B, which is a valid vector product. The cross product of two vectors results in a new vector that is orthogonal (perpendicular) to both vectors.

Option E represents the magnitude of the cross product of vectors A and B, which is also a valid vector product. The magnitude of the cross product represents the area of the parallelogram formed by the two vectors and is equal to the product of their magnitudes multiplied by the sine of the angle between them.

The other options, A, B, and D, do not represent valid vector products. Option A represents scalar multiplication of vector A by a scalar c, which results in a scaled version of vector A but not a new vector product. Option B represents component-wise multiplication, not a  valid vector product. Option D represents the dot product, which results in a scalar value, not a vector product.

In summary, the valid vector products among the given options are C and E, representing the cross product and magnitude of the cross product, respectively.

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The function that represents the given equation is:

f(x) = 3x + 8

The equation is -12x + 4y = 32. To solve for y as a function of x, we need to isolate y on one side of the equation.

Adding 12x to both sides, we get 4y = 12x + 32.

To solve for y, we divide both sides of the equation by 4. This gives us y = 3x + 8.

Hence, the function that expresses y as a function of x is:

f(x) = 3x + 8.

Using this function, we can determine the value of y corresponding to any given x value. For example, if we substitute x = 5 into the function, we have f(5) = 3(5) + 8 = 15 + 8 = 23. Therefore, when x is 5, y is 23 according to the function f(x) = 3x + 8.

In summary, the function f(x) = 3x + 8 represents the relationship between x and y in the given equation, allowing us to calculate the corresponding y value for any given x value.

Therefore, the function that represents the given equation is:

f(x) = 3x + 8

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Hello!

What is the function rule the line?

f(x) = 2/3x - 2

Good luck! :)

Answer:

C

Step-by-step explanation: