Translate into a variable expression then simplify, a number minus the sum of the number and 6

The solution set of the inequality is [3, ∝)

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

2x + 4 < 10

Subtract 4 from both sides of the inequality

So, we have the following representation

2x + 4 - 4 < 10 - 4

Evaluate the like terms

2x < 6

Divide both sides by 2

x < 3

When represented as an interval notation, we have

[3, ∝)

See attachment for the inequality of the solution set

Hence, the solution is [3, ∝)

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Answer: = 1 (look at the image for the solution)

Step-by-step explanation:

You cannot construct a triangle PQR such that QR=3 cm, PQ=6 cm, PR=3 cm, as the sum of the lengths of the two smaller sides is not greater than the length of the larger side.

In a triangle, the sum of the lengths of the two smaller sides has to be greater than the length of the greater side.

The lengths for this problem are given as follows:

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Answer:

the ans is advanced

I hope you get your ans

Answer:

33.6-(-6.4)=40

Step-by-step explanation:

1. 8.4×4

2. 3.2x-2

3. 33.6-(-6.4)

4. 40

the two negatives become positive

The closest answer choice is 0.76, which corresponds to 0.1934. So the answer is 0.1934.

We can calculate the variance of the hotel's star rating by using the formula:

variance = sum[(xi - mean)^2 * pi]

where xi is the rating (1, 2, 3, or 4), mean is the expected value of the rating, and pi is the proportion of the population that left that rating. Since we know the proportions of the population that left each rating, we can calculate the expected value of the rating as:

mean = 1(0.3) + 2(0.2) + 3(0.2) + 4(0.3) = 2.9

Then, we can calculate the variance as:

variance = (1 - 2.9)^2 * 0.3 + (2 - 2.9)^2 * 0.2 + (3 - 2.9)^2 * 0.2 + (4 - 2.9)^2 * 0.3

variance ≈ 0.57

Finally, the standard deviation is the square root of the variance:

standard deviation = sqrt(0.57) ≈ 0.756

Therefore, the closest answer choice is 0.76, which corresponds to 0.1934.

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Answer:

**DUE TOMORROW, NEED ANSWER ASAP**

NASA has asked you to evaluate a number of proposals for telescopes. These proposals include information about where the telescope would be built and what wavelengths it intends to observe at. Based only on these factors, evaluate whether NASA should consider funding each proposal. Justify your recommendations. (Some telescopes may have more than one "correct" answer depending on how you justify it).

a.) An ultraviolet telescope in space

b.) An optical telescope in a remote location in Michigan's upper peninsula

c.) A radio telescope in the Mojave desert in Arizona

d.) An x-ray telescope in the Andes mountains in Chile

e.) An optical telescope in space

Step-by-step explanation:

Answer:

Add 3 and then multiply by 5.

Step-by-step explanation:

The problem looks like this to me:

[tex] \dfrac{m}{5} - 3 = 8 [/tex]

If this is correct, then the operations are:

Add 3 to both sides.

Multiply both sides by 5.

I don't see that answer. The picture is not very clear to me. What is the denominator of the fraction?

Answer:

a= 12, b=4, Choices B and F

Step-by-step explanation:

2/2=1

8/2=4

12/2=6

Answer:The answer is 20000

Step-by-step explanation:

Answer:

70.0000

Step-by-step explanation:

aka 70%

Answer:

10.5

Step-by-step explanation:

18/3 = 63/x

18 * x = 63

18 * 3.5 = 63

3 * 3.5 = 10.5

Answer:

it is 3

Step-by-step explanation:

just subtract

a) The function that represents this situation is,

⇒ y = 35 (1 - 12.9%)ⁿ

Where, 'n' is number of years and 'y' is mass of element.

b) For 4 years, the mass of the element is, 19.95 milligrams

c) No, the mass of the radioactive element will never be 0 milligrams.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Now,

The function that represents this situation is,

⇒ y = 35 (1 - 12.9%)ⁿ

Where, 'n' is number of years and 'y' is mass of element.

Now, For 4 years, the mass of the element is,

⇒ y = 35 (1 - 12.9%)ⁿ

⇒ y = 35 (1 - 12.9%)⁴

⇒ y = 35 (1 - 0.129)⁴

⇒ y = 35 (0.87)⁴

⇒ y = 35 × 0.57

⇒ y = 19.95 milligrams

No, the mass of the radioactive element will never be 0 milligrams.

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Answer:

(p o q) = 54

(q o p) = 68

Step-by-step explanation:

Another way to write is (p o q)(3) is p(q(3)).  As you can see, you start with the inner function and 3 is an input in the q(x) function.  Then, the output of this becomes the input of p(x) (the outer function), which yields a final output and the answer:

[tex]p(x) = 4x + 2\\q(x)=5x-2\\\\p(q(3))\\\\q(3)=5(3)-2=13\\p(13)=4(13)+2=54[/tex]

You do the same process for (q o p)(3), which can be written as q(p(3)), where you start with p(3) and then plug in this result as the input for q(x):

[tex]p(x)=4x+2\\q(x)=5x-2\\\\q(p(3))\\\\p(3)=4(3)+2=14\\q(14)=5(14)-2=68[/tex]

Answer:

$560

Step-by-step explanation:

The formula for simple interest is:

I = Prt, where P is the principal, r is the interest rate, and t is the time (in years).

Plugging in the values, we get:

I = $7,000 * 2% * 4 years = $560

So, Marsha earned $560 in interest.

The system of equations which represents this

situation is 3x+4y= 32 and 5x + 5y = 18.

The correct answer choice is option B

Amount with Maya = $32

Amount spent on each notebook = x

Number of notebook = 3

Amount spent on each pack of index cards = y

Number of index cards = 4

Maya bought 5 notebooks and 5 packs of

index cards

$18 short = $32 - $18

= $14

3x + 4y = 32

5x + 5y = 14

In conclusion, the system of equation is 3x+4y= 32 and 5x + 5y = 18.

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Answer:

Step-by-step explanation:

1.3 * 10 ^-7

is 0.00000013

0.00000013 times 15 is

0.00000195.

0.00000195 in scientific notation is

1.95*10^-6

Answer:

Step-by-step explanation:

No pressure. You just need to look for the number that when added to the other given number, will give the same as the sum on the other side.

For instance, The top-left question:

4+6 = x+8  (let x be the box)

x= 4+6-8

x=2.

OR, since 4 + 6 =10,

you look for a number when added to 8, that gives 10.

That number is 2.

Hope this helps :]

Answer:

6

Step-by-step explanation:

f(2) = 10-4 = 6

Answer:

[tex] \sf \: d) \: 6[/tex]

Step-by-step explanation:

Given function,

→ f(x) = 5x - 4

We have to find,

→ The required value of f(2).

Now value of f(2) will be,

→ f(x) = 5x - 4

→ f(2) = 5(2) - 4

→ f(2) = 10 - 4

→ [ f(2) = 6 ]

Therefore, the answer is 6.

In set builder notation, the set of all numbers larger than or equal to -8 and less than 17 can be written as:

{x | -8 <= x < 17}

An explanation of set builder notation?

A set of items can be mathematically expressed using the set builder notation. The set builder notation's syntax is {x | },  where x stands for one of the set's elements and the condition outlines the requirements that an element must meet in order to be included in the set.

In this instance, the set consists of all numbers higher than or equal to -8 and less than 17 in total. The set must satisfy the constraint

-8 <= x < 17,where x is a real value. This implies that x must exceed or equal to -8 and must be less than 17 to be a part of the set.

As a result, in set builder notation, the set of all numbers greater than or equal to -8 and less than 17 can be written as follows:  {x | -8 <= x < 17}

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Answer:

4 different spots

Step-by-step explanation:

12 - 4 spaces in between = 8 spaces

8 spaces / 4 cars = 4 spots

4 spots and 4 cars = 4 different spots for each car

16

Answer: A. 6

Step-by-step explanation:

Answer: I think D.

Step-by-step explanation: why not pick D…..

Hope this helps^^

Answer:

Do the graph Then Solve for y

Answer:

1. Yes, a graph of this relationship will be linear.

2. The y-intercept of the graph is (0, 2).

Step-by-step explanation:

1. The equation will be linear because it can be written in the standard form for the equation of a line. The standard form for the equation of a line is Ax + By = C. Eight can be subtracted from both sides of the equation to get 3x - 4y = -8, which fits the format for standard form. A, B, and C are integers, which includes negative numbers, zero, and whole numbers.

2. 3x - 4y + 8 = 0

3(0) - 4y + 8 = 0

-4y + 8 = 0

-4y = -8

y = 2

Answer:

It would be a little over 2 hours or so since 16:41 is just 4:41.

2 hours and 16 minutes

Step-by-step explanation:

You're welcome.

If a merchant does not hold up their end of an agreement, you can call the credit company and dispute the charges. This way, credit cards can be safer than cash.

What is credit card?

A credit card is a small plastic payment card that is provided by a person's bank and enables the cardholder to pay a merchant for products and services depending on the cardholder's accumulated debt.

To be on the safe side in the event that a merchant breaches an agreement, a cardholder may contact the credit bureau to resolve the disputed charges.

So, this way credit cards can be safer than cash.

Hence, option C is the correct solution.

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The required value of C is 3 which makes 16x² - 24x + C a perfect square.

A perfect Square is defined as an integer multiplied by itself to generate a perfect square, which is a positive integer. Perfect squares are just numbers that are the products of integers multiplied by themselves.

The expression is given in the question, as follows:

16x² - 24x + C

(4x)² - 24x + C

As we know that the factoring identity:

(a - b)² = a² - 2ab + b²

After comparing, we have a = 4x and 2ab = 24x

Solving for b:

2(4x)b = 24x

b = 24x/8x

b = 3

So 16x² - 24x + 3 = (4x - 3)²

This means the required value of C is 3 which makes a perfect square.

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The length and width of the rectangular wall of a barn given the area is 22 feet and 5 feet respectively.

Area of the rectangular wall of a barn = 110 square feet

Width of the barn = w

Length of the barn= 2w + 12

Area of a rectangle = length × width

110 = (2w + 12) × w

110 = 2w² + 12w

equate to 0

2w² + 12w - 110 = 0

w² + 6w - 55 = 0

using factorization method of solving quadratic equation

w² + 11w - 5w - 55 = 0

w(w + 11) - 5(w + 11) = 0

(w - 5) (w + 11) = 0

w = 5 or w = -11

The width of the rectangular barn cannot be negative

Therefore,

Width of the barn = w

= 5 feet

Length of the barn= 2w + 12

= 2(5) + 12

= 10 + 12

= 22 feet

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Answer: No, the graph of y = x² + 2 is not a straight line. The graph is a parabola that opens upwards and has its vertex at (0, 2).

A straight line is defined by a linear equation, which is an equation that can be written in the form y = mx + b, where m and b are constants. In this equation, the coefficient of x (m) represents the slope of the line, and the constant term (b) represents the y-intercept. A straight line has a constant slope, which means that the rate of change of y with respect to x is constant.

In the case of y = x² + 2, the coefficient of x (x) is not a constant, but rather a variable, which means that the slope of the line changes as x changes. The graph of y = x² + 2 is a parabolic shape that opens upwards and has its vertex at (0, 2). The slope of the graph is not constant, but rather increases as x increases. This means that the graph does not represent a straight line, but rather a parabolic curve.

Step-by-step explanation:

The given series is geometric when r equals negative three-fifths.

What is geometric series?

The geometric series refers to the total of terms with a common ratio between every pair of neighbouring terms. Geometric series can be of two different types: finite and infinite. The sequence is of the form {a, ar, ar², ar³, …….} where, a is the first term, and r is the "common ratio".

where, r = ar/a = (second term)/(first term)

Given, the series 250 – 150 + 90 – 54 + …

So, r = (-150)/250 = -3/5

or, r = 90/(-150) = -3/5

Hence, for the geometric series, r should be equal to negative three-fifths.

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