Define the binary operator ∇ by: a ∇ b = 4 Simplify each of the following. Do the order of operations (do what is in parentheses first). ( 4 ∇ 3 ) ∇ 6 = ( 7 ∇ 2 ) ∇ 5 =

Congruent triangles are those triangles which have the same size and form.

Congruent triangles are those triangles which have the same size and form. This signifies that the matching sides and angles are the same.

The two triangles ΔUVW≅ΔABC, therefore, the corresponding sides can be written as,

The corresponding angles will be,

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In explaining of the random sampling situation, you tell the jury that Random sampling is a kind of sampling technique where all sample has an equal right or probability to be chosen.

An example of a simple random sample would be the names of 30 employees were chosen out of a box from a company of 300 employees. In this above scenario, the population is all 300 employees, and the sample is random based on the fact that each employee do possess an equal chance of been selected.

By using the example of the argument given above to convince the juror about why the selection is said to be likely to be random.

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Answer:

C

Step-by-step explanation:

Since having 1 and 5 as the most likely result is highly unlikely, the answer being 7 points on both numbers would be unfair resulting in C being the answer.

Answer:

Step-by-step explanation:

(3x - 1)(3x - 4) = 9x^2 - 15x + 4

(x + 2)(9x^2 - 15x + 4) = 9x^3 - 15x^2 + 4x + 18x^2 - 30x + 8

9x^3 + 3x^2 -26x + 8 is the solution

Answer:

C. she forgot the minus sign for the first term on the right side of the equation.

Step-by-step explanation:

Tanika's work: 1.02(0.5)+7.09 = y

y = 7.6

She's missing the negative sign before 1.02. Her equation should have been -1.02(0.5)+7.09 = y

y = 6.58

Answer: the required time is 18.6 minutes.

Step-by-step explanation:

It typically takes 10–15 mins in most of the restaurants however, it also depends on the type of food you've ordered + the time you're visiting (peak time, weekends, etc).

The time may go high if the quantity ordered is more & different variety of food is ordered. 10–15 mins is typically for 2 people visiting a restaurant for lunch or dinner.

Restaurants which have high focus on customer service ensures they have sufficient staff & ingredients available during their peak hours so that wait time is minimal.

Small restaurants where customer only comes for tasty food (because they're famous) & have high number of customers visiting may at times take a longer time to deliver as they have many customers to attend and usually have less staff.

Hope this is helpful.

Answer:

21 jacks/min

or 21 jacks per minute

Step-by-step explanation:

63/3 = 21

write it as ___ unit/rate

please mark brainliest

Answer:

300

Step-by-step explanation:

45 minutes is 15% of x

45 = 0.15x

0.15x = 45

x = 45/0.15

x = 300

Answer: 300

Answer:

The required Probability =0.433

Step-by-step explanation:

number of residents who has master degree =2078

number of residents who has master degree and age group 30-49years= 455+ 445=900

900/2078

=450/1039

=0.43310

Answer:

80 + 60x

Step-by-step explanation:

Answer:

If it doesn't tell you how long Spencer's repair took, it would just be 70+32.50 which equals $102.50

Answer:

x^3 + 3x^2 - 10x

Step-by-step explanation:

(x - 0)(x - 2)(x + 5)

= (x^2 - 2x)(x + 5)

= x^3 + 5x^2 - 2x^2 - 10x

= x^3 + 3x^2 - 10x

Answer:

When biomedical engineers work within a hospital or clinic, they are more properly called clinical engineers.

The above shape is a quadrilateral and its a square. Therefore, Jack is correct.

A quadrilateral is a 2 dimensional figure with 4 sides.

Examples of quadrilaterals are rhombus , square, rectangle, parallelogram etc.

A rhombus is a quadrilateral with 4 sides same length. The angles of rhombus are not right angles.

A square is a quadrilateral with 4 sides same length and 4 square corners that a right angles.

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Answer:

20 units

Step-by-step explanation:

Given: Bases of the trapezoid

To find: Length of midsegment

Solution: Formula for length of midsegment of a trapezoid is given as:

Answer:

b. {1, 2, 3, 4, 5}

Step-by-step explanation:

Given function:  

c = 25n + 6

(where c is the total purchase cost and n is the number of coins)

Domain:  input values → n-values

If there is a limit of 5 coins per purchase, this means that you can purchase up to and including 5 coins at any one time.  

Therefore, the domain is:  {1, 2, 3, 4, 5}

{1, 2, 3, 4, 5} is a reasonable domain for this function.

So, the correct answer is:

b. {1, 2, 3, 4, 5}.

The cost function for purchasing n coins is given by c = 25n + 6.

However, there is a limit of 5 coins per purchase.

This means that the number of coins (n) should not exceed 5,

as it is not possible to purchase more than 5 coins in a single purchase.

Therefore, a reasonable domain for this function would be the set of numbers from 1 to 5,

since n can take any value between 1 and 5, inclusive.

Hence, {1, 2, 3, 4, 5} is a reasonable domain for this function.

So, the correct answer is:

b. {1, 2, 3, 4, 5}.

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Answer:

see explanation

Step-by-step explanation:

the graph has a maximum turning point at (- 2, 2 )

the maximum value is the value of the y- coordinate of the vertex , then

maximum at 2

the domain is the values that x takes, in this case

domain is all real numbers

the range is the values that y can have, in this case

range is y ≤ 2

Answer:

See below ~

Step-by-step explanation:

Details of Graph

Answer:

60 degrees

Step-by-step explanation:

a straight line is equal to 180 degrees. 180 - 120 = 60 degrees for x

Answer:

60 degrees

Step-by-step explanation:

both big angles are 120. 12x2=240, 360-240=120, half 120= 60.

4

Explanation:

3, 4, 2, 8, 5

arrange in ascending order

2, 3, 4, 5, 8

Identify the integer at the middle

median: 4

Arrange in ascending order

Median term=(5+1)/2=6/2=3rd term=4

Median is 4

Answer:

91 I believe. 7x4 is 28, divide by 2, you get 14. there is two triangles that have the same area so multiply by two to get 28 for the top half. then 7x9 is 63, divided by 2 times 2 is 63. add 63 and 28 to get 91

Answer:

line of symmetry: x = -3

intercepts...

x - intercept: (-4, 0) and (-2, 0)

y - intercept: (0, 8)

vertex: (-3, -1)

Step-by-step explanation:

The image isn't that clear but what I can get is what listed

line of symmetry is the line straight down the middle as if the graph is reflected to the other side

intercepts...

x - intercept is when y = 0, note there is 2 of these a negative and positive root

y - intercept is when x = 0

vertex is the turning point

for an upward curve its a min

for a downward curve it a max

I attached an example of each on of these

[tex]\qquad \qquad \textit{sum of a finite geometric sequence} \\\\ \displaystyle S_n=\sum\limits_{i=1}^{n}\ a_1\cdot r^{i-1}\implies S_n=a_1\left( \cfrac{1-r^n}{1-r} \right)\quad \begin{cases} n=\textit{last term's}\\ \qquad position\\ a_1=\textit{first term}\\ r=\textit{common ratio}\\[-0.5em] \hrulefill\\ n=7\\ r=3 \end{cases} \\\\\\ S_7=a_1\left( \cfrac{1-r^7}{1-r} \right)\implies 5465=a_1\left( \cfrac{1-3^7}{1-3}\right)\implies 5465=a_1(1093) \\\\\\ \cfrac{5465}{1093}=a_1\implies \boxed{5=a_1}[/tex]

Answer:

106 7/8 inches

Step-by-step explanation:

Simplifying the pieces

Answer:

-31 = x

Step-by-step explanation:

Step 1    4x + 24 = 3x - 7

Step 2   x + 24 = -7

Step 3   x = -31

Hope this help!!!

Answer:

70%

Step-by-step explanation:

To find the percent you put the part (70) out of the whole (100) and then multiply it by 100%. Like this:

[tex]\frac{70}{100} *100[/tex] = 70%

You can also look at it like this, it is already out of 100, so he made 70% of free throws because he made 70 free throws!

I hope this helps! Good luck and if you have any questions please let me know in the comments!

well, since we know that there are 180° in π radians, how many degrees will it be in 345°?

[tex]\begin{array}{ccll} degrees&radians\\ \cline{1-2} 180&\pi \\ 345&x \end{array}\implies \cfrac{180}{345}~~ = ~~\cfrac{\pi }{x}\implies \cfrac{12}{23}~~ = ~~\cfrac{\pi }{x} \\\\\\ 12x=23\pi \implies x=\cfrac{23\pi }{12}[/tex]

Answer:

V = 508.938 [tex]in^{3}[/tex]

Step-by-step explanation:

The equation to find the volume of a cylinder is:

[tex]V = \pi r^{2} h[/tex]

r = radius

h = height

In the question it gives us the height (2 inches) and the diameter (18 inches).

We need to find the radius from the diameter. To do this, divide the diameter by 2:

r = 18/2 = 9

Now, plug everything into the equation and solve:

[tex]V = \pi (9)^{2} (2)[/tex]

Use a calculator to get the answer:

V = 508.938 [tex]in^{3}[/tex]

(Side note: I don't know what place to round to because in the question it says to "round to the nearest place" but doesn't say tenth, hundred, etc. If the question on your homework says tenth then the answer would be 508.9, hundredth = 508.94, thousandth = 508.938)

Hope this helps!! If you have questions please comment them under this!

The value of angle x and y in the triangle XYZ are 53.33 degrees and 106.66 degrees, respectively.

According to the triangle angle sum theorem, the sum of all the angle(interior) of a triangle is equal to the 180 degrees.

The angle XYZ has an angle y which is twice the size of x. Thus,

2x=y

The third angle is 20 degree, which is Z. Thus,

z=20

By the triangle angle sum theorem,

x+y+x=180

x+2x+20=180

3x=180-20

x=160/3

x=53.33

The measure of angle y is,

y=2×53.33

y=106.66

Thus, the value of angle x and y in the triangle XYZ are 53.33 degrees and 106.66 degrees, respectively.

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Answer:

a 120 degree angle is 90 (right angle) + 30 (an acute angle)