The rectangular prism has a vertex at (5, 6, 2). Which
ordered triples represent other vertices of the prism?
Check all that apply.
(0, 0, 2)
(0, 5,6)
(2,0, 5)
(5, 0, 2)
(5, 6, 0)
(6,2,0)

The solution of the logarithmic expression [tex]\log_2(17 -\sqrt{19}) + \log_2(17 +\sqrt{19})[/tex] is [tex]\log_2[270][/tex]

The expression is given as:

[tex]\log_2(17 -\sqrt{19}) + \log_2(17 +\sqrt{19})[/tex]

Apply the product law of logarithm

[tex]\log_2[(17 -\sqrt{19}) *(17 +\sqrt{19})]\\[/tex]

Apply the difference of two squares

[tex]\log_2[(17^2 -(\sqrt{19})^2][/tex]

Evaluate the squares

[tex]\log_2[(289 -19][/tex]

Evaluate the difference

[tex]\log_2[270][/tex]

Hence, the solution of the logarithmic expression [tex]\log_2(17 -\sqrt{19}) + \log_2(17 +\sqrt{19})[/tex] is [tex]\log_2[270][/tex]

Read more about logarithmic expression at:

https://brainly.com/question/25710806

#SPJ1

Answer:

42.86%

Step-by-step explanation:

Our percent fraction is 42.857142857143/100, which means that 37 as a percentage is 42.86%

Here we are going to show you step by step how to convert the fraction 3/7 to a percentage.

In the fraction 3/7, 3 is the numerator and 7 is the denominator.

First, we are going to divide the numerator by the denominator. Therefore, we are going to divide 3 by 7.

A percentage shows a number as a proportion of one hundred.

Now we are going to multiply 0.72 by 100 to get the percentage.

Therefore, the answer to 3/7 percent is

Note: If necessary, we round to the nearest hundred.

[tex]\red{\boxed{\green{\boxed{\boldsymbol{\purple{Pisces04}}}}}}[/tex]

The Graph B  best represents a parabola , Option D has the correct data points and so is the right answer.

A function is a mathematical way of representing relation between two variables.

The function given is

y = 2x²

For x = - 2, y = -2(- 2)² = -8

For x = - 1, y = -2(- 1)² = -2

For x = 0, y = -2(0)² = 0

For x = 1, y = -2(1)² = -2

For x = 2, y = -2(2)² = -8

the  table of x-y will be:

x  - 2    - 1    0    1    2

y    -8     -2   0  -2   -8

The graph is attached with the answer.

The parabola opens downward and has the data points as mentioned above .

Therefore Option D is the correct answer.

To know more about Function

https://brainly.com/question/12431044

#SPJ1

Answer:

Step-by-step explanation:

Complete the following table using the equation: y = 2 x squared

x

-2

-1

0

1

2

y

Plot the points on a graph and determine which graph best represents the equation.

Graph A

On a coordinate plane, a parabola opens up and goes through (1, 3), has a vertex at (0, 0), and goes through (1, 3).

Graph B

On a coordinate plane, a parabola opens down and goes through (negative 1, negative 2), has a vertex at (0, 0), and goes through (1, negative 2).

a.

8, 2, 0, 2, 8; Graph A

b.

-8, -2, 0, -2, -8; Graph A

c.

8, 2, 0, 2, 8; Graph B

d.

-8, -2, 0, -2, -8; Graph B

Please select the best answer from the choices provided

A

B

C

D

   answer is '' a '  got it right

Answer:

Step-by-step explanation:

hello :

y=x²-10x+16  in the form y=(x-h)²+k

y= x²-2(5)(x)+16  

y = x²-2(5)(x)+5²-9

y= (x-5)²-9    when h=5 and k = -9

Answer:

SSS theorem

Step-by-step explanation:

It is indicated in the image that 2 sides of the triangles are congruent, and the third side is shared, which makes the third side automatically congruent as well. Therefore, we can use the side-side-side theorem to prove that the triangles are congruent.

Using logic concepts, the correct statement is given by:

[tex](p \vee \neg p) \wedge \neg q[/tex]. FALSE.

The events are:

The statement is:

Henri is wearing a red or blue shirt today with jeans.

A red or blue shirt can be represent by p or not p, that is:

[tex](p \vee \neg p)[/tex]

Jeans is not khaki, hence the second part is:

[tex]\neg q[/tex]

Combining the statements, we have that the expression is:

[tex](p \vee \neg p) \wedge \neg q[/tex]

Since p and q are true, [tex]\neg q[/tex] is false, and the entire statement is false. Hence the correct option is:

[tex](p \vee \neg p) \wedge \neg q[/tex]. FALSE.

More can be learned about logic statements at https://brainly.com/question/24912495

#SPJ1

Answer: -307.36 I think

Step-by-step explanation:

Answer:

1 HR ---> 42 km

? .----> 119 km

119 * 1/42

2.833

Answer:

[tex]\boxed {2 \frac{5}{6}}[/tex]

Step-by-step explanation:

Formula used :

[tex]\boxed {Time = \frac{Distance}{Speed}}[/tex]

Solving :

Time = 119/42

Time = 17/6

Time = 2 5/6 hours

the answer should be 5 inches I guess

Answer:

B) 1/8

Step-by-step explanation:

each child born has 50/50 to be a boy or a girl, so, we determine a Bernoulli process where p=0.5, and we need 3 out of 3 successes.

the probability will then be:

(0.5)³=0.125=1/8

The true statements are

-one zero with multiplicity 3

-one zero with multiplicity 4

-one zero with multiplicity 5

-one zero with multiplicity 1 and one zero with multiplicity 2

-one zero with multiplicity 1 and one zero with multiplicity 3

-one zero with multiplicity 2 and two zeros with multiplicity 1

-one zero with multiplicity 2 and three zeros with multiplicity 1

-Two zeros with multiplicity 2

-Two zero with multiplicity 2 and two zeros with multiplicity 1

-Two zero with multiplicity 2 and three zeros with multiplicity 1

-Two zero with multiplicity 1

-Three zeros with multiplicity 1

-Four zeros with multiplicity 1

-Five zeros with multiplicity 1

The function is given as:

f(x)

And it has a degree of 3

This means that

Using the above highlight as a guide, the true statements are (a), (d),and (l)

Read more about polynomial functions at:

https://brainly.com/question/2833285

#SPJ1

Answer:

-38,994

Step-by-step explanation:

-291*134

=-38,994

Answer:

-38,994

Step-by-step explanation:

(-291) × 134

Apply PEMDAS.

Remember,

Solution:

Evaluating,we obtain

Answer:

all real numbers

Step-by-step explanation:

the answer is all real numbers.

we know this since if you plug in any value for x we will get a real number.

hope this helps

A mean is an arithmetic average of a set of observations. The correct option is A.

A mean is an arithmetic average of a set of observations. it is given by the formula,

Mean = (Sum of observations)/Number of observations

Since the median is the middle value of the given data set, therefore, the median will not be changed for the given data set. But since the mean is the arithmetic average, therefore, the $100 gift will increase the mean value of the prizes.

Hence, the correct option is A.

Learn more about Mean:

https://brainly.com/question/16967035

#SPJ1

Answer:

this is the anwser

this

Using it's concept, it is found that the domain of the function is given as follows:

d. 0 < c ≤ 15

The domain is the set that contains all possible input values for the function.

He is losing weight consistently, hence c > 0, and the maximum amount is of 15 calories, hence c ≤ 15 and the domain is given by:

d. 0 < c ≤ 15

More can be learned about the domain of a function at https://brainly.com/question/24374080

#SPJ1

Step-by-step explanation:

look at the attached and just plot the data. S on the x-axis and s(x) on the y-axis.

The approximate value of the vehicle 15 years after purchase is $11,221.19.

Depreciation is when the value of an asset declines with the passage of time as a result of wear and tear.

Value of the car = purchase price x (1 - rate of decline)^number of years

20,700 x (1 - 0.04)^15 = $11,221.19

To learn more about depreciation, please check: https://brainly.com/question/25552427

#SPJ1

Answer:

Step-by-step explanation:

regular decagon = all side equal and all angles congruent, so your answer is 144°

Answer:

Step-by-step explanation:

1) Cancel [tex]x^5[/tex].

[tex]\frac{9y^{16} }{45y^4}[/tex]

2) Take out the constants.

[tex]\frac{9}{45} \times\frac{y^{16} }{y^4}[/tex]

3) Simplify [tex]\frac{9}{45}[/tex] to [tex]\frac{1}{5}[/tex].

[tex]\frac{1}{5} \times\frac{y^{16} }{y^4}[/tex]

4) Simplify.

[tex]\frac{y^{16} }{5y^4}[/tex]

5) Use Quotient Rule: Use Quotient Rule: [tex]\frac{{x}^{a}}{{x}^{b}}={x}^{a-b}[/tex].

[tex]\frac{{y}^{16-4}}{5}[/tex]

6)  Simplify [tex]16-4[/tex] to [tex]12[/tex].

[tex]\frac{y^{12} }{5}[/tex]

The correct graph of the following condition. {(x, y) : x - y6} is depicted in the graph attached.

A graph is a diagram showing the relation between variable quantities each measured along one of a pair of axes at right angles.

In this case, the correct graph of the following condition. {(x, y) : x - y6} is depicted in the graph attached.

Learn more about graph on:

https://brainly.com/question/19040584

#SPJ1

Blank 1: 3

Blank 2: 27

Blank 3: 21

you have to distribute the three to everything inside the parenthesis, and because it's directly in front of the parenthesis it's being multiplied.

3(x - 9) = 3x - 27

Now you need to isolate the y, in this e ample you need to add 6 to both sides

the final equation should be:

y = 3x - 21

The half life of the radioactive substance is 10.22 years.

Half Life is the amount of time needed by the radioactive substance to reduce to its half concentration (as compared to the initial concentration).

It is given that

y = ae⁻ᵇˣ

here a is the initial amount , y is the amount remaining after x years

a = 90mg at x =0

Value of y = 12.6 mg at x = 29 years

On substitution of value

12.6 = 90 e⁻²⁹ᵇ

0.14 = e⁻²⁹ᵇ

b = 0.0678

The equation is

[tex]\rm y = 90 e^{-0.0678 * x}\\[/tex]

Half life is when the concentration is reduced to half

On 1st half life , the concentration = 90/2 = 45 mg

[tex]\rm 45 = 90 e^{-0.0678 * x}\\[/tex]

x = 10.22 years

Therefore the half life of the radioactive substance is 10.22 years.

To know more about Half Life

https://brainly.com/question/24710827

#SPJ1

Answer:

According to the given function, the value of h(-1) is -1, h(-0.5) is 0 and h(1) is 1.

Step-by-step explanation:

The given function says that:

If the range of the values of x is x∈(-2,-1], then the value of the function is -1.

If the range of the values of x is x∈(-1,0], then the value of the function is 0.

If the range of the values of x is x∈(0,1], then the value of the function is 1.

If the range of the values of x is x∈(1,2], then the value of the function is 2.

In the first case, we have x = -1. This satisfies the first condition. So accordingly, the value that the function will give is -1.

In the second case, we have x = -0.5. This satisfies the second condition. So accordingly, the value that the function will give is 0.

In the third case, we have x = 1. This satisfies the third condition. So accordingly, the value that the function will give is 1.

So, h(-1) = -1, h(-0.5) = 0 and h(1) = 1.

For more explanation, refer the following link:

https://brainly.com/question/11624077

#SPJ10

After 85 minutes of calls, there are $27.25 left on the card.

A linear equation in slope-intercept form is:

y = a*x + b

Where a is the slope.

If the line passes through two points (x₁, y₁) and (x₂, y₂) the slope is:

[tex]a = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

In this case, we know that the line passes through the points (22, 36.7) and (52, 32,20)

(points of the form (time, dollars)).

So the slope is:

[tex]a = \frac{32.2 - 36.7}{52 -22} = -0.15[/tex]

The linear equation is then:

y = -0.15*x + b

To find the value of b, we use the point (22. 36.7)

36.7 = -0.15*22 + b

36.7 + 0.15*22 = b = 40

Then the linear equation is:

y = -0.15*x +40

The amount remaining in the credit card after 85 minutes is given by evaluating the above equation in x = 85.

y = -0.15*85 + 40 = 27.25

This means that after 85 minutes of calls, there are $27.25 left on the card.

If you want to learn more about linear equations:

https://brainly.com/question/1884491

#SPJ1

Answer:

a

Step-by-step explanation:

substitute x = 10 into f(x) , that is

f(10) = 2(10) + 3 = 20 + 3 = 23

hi brainly user! ૮₍ ˃ ⤙ ˂ ₎ა

⊱┈────────────────────────┈⊰

[tex]\large \bold {ANSWER}[/tex]

[tex]\large \bold {SOLUTION}[/tex]

Given the first-degree function:

[tex]\Large\begin{array}{c}\rm f(x)=2x+3\end{array}[/tex]

We were asked to determine the value of f(10), so, to find its value, just replace the 10 where there is x in the function, see:

[tex]\begin{gathered}\Large\begin{array}{c}\rm f(x)=2x+3\\\\ \rm f(10)=2\cdot 10+3\end{array}\end{gathered}[/tex]

You see, we put that dot there, which indicates multiplication, because when a number is next to a letter it indicates that it is multiplying, thus:

[tex]\begin{gathered}\Large\begin{array}{c}\rm f(10)=2\cdot 10+3\\\\ \rm f(10)=20+3\\\\ \red{\boxed{\rm f(10)=23}}\checkmark\end{array}\end{gathered}[/tex]

Hence, the value of f(10) in this function is equal to 23.

Answer:

72

Step-by-step explanation:

I got it right .......

Answer:

< $0 --------------$35------ $50>

Step-by-step explanation:

I see it's still the same, the maximum discount can be put off is still $50

and you can find that out by discount 30% off 50 to get $35 :)

< $0 --------------$35------ $50>

Answer: 462 square cm

Step-by-step explanation:

The area of the shaded region is the difference between the areas of the two rectangles.

Larger Rectangle: (42)(21)

Smaller Rectangle: (28)(15)

Area of shaded: (42)(21)-(28)(15)=462 square cm

Answer:

54

Step-by-step explanation:

⇒ 1 + 3 = 4

⇒ 4 * 13 = 52

⇒ 52 + 2 = 54 (Basic Operation)