if set A. have numbers 5, 25, 15, and 35 can you describe set A ? ​

Answer:

6x - 15

6x - (5 · 3)

(3 · 2x) - 15

So, for #1, we can just simplify 3(2x - 5) to get another expression:

3(2x - 5),

6x-15

For the next one, we could make a new equation that equals 6x-15:

(3x)+(3x)+(5 *-3)

Then for the last one, how about rewrite it so all of the values are inversely negated?

3(2x - 5),

-3(-2x +5)

Yes, the length and width can be decimal numbers each one with decimal place, but not in every case.

The size of a two-dimensional surface or region is expressed in terms of area. Square units like square inches, square feet, or square metres are frequently used to measure it. The area of a shape or region is determined by counting the number of unit squares that can fit inside it without overlap.  

for example, lets take length =2.5 feet

and width=3.2 feet

area of table top=8 feet²

Taking another case:

length =1.2 feet

and width=3.5 feet

area of table top=4.2 feet²

if the length and width are decimal numbers, then the area would also be a decimal number or whole number, But, this is not possible in every cases.

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The complete question is:

The area of Kamar’s tabletop is a whole number of square feet. Could the length and width be decimal numbers each with one decimal place? Explain your answer.

If only 2,836 students were admitted into the Ateneo among 27,813 students, who took the ACET this year, the Ateneo’s acceptance rate is b. 10.2%.

The rate is the ratio of one value, expression, measurement, or quantity compared to another.

The rate represents the quotient of the numerator and the denominator.

The rate is expressed as a percentage by multiplication with 100.

The number of students who took the ACET this year = 27,813

The number of students who were admitted into the Ateneo = 2,836

The percentage or rate admitted = 10.19667% (2,836 ÷ 27,813 × 100)

= 10.2%

Thus, we can conclude that the acceptance rate or percentage is Option B.

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Answer:

Centerville is 13 kilometers away from Manchester

Step-by-step explanation:

26.1 - 13.1 = 13

Answer:

0.005

Step-by-step explanation:

The time it will take the roller coaster to reach the ground is 171.65 seconds

Given the roller coaster’s height given by the following parameters

h = –0.025t² + 4t + 50

On the ground level, the height will be zero. Substitute h = 0 and determine the value of t

–0.025t² + 4t + 50 = 0

0.025t² - 4t - 50 = 0

Factorize

On factorizing the time it will take the roller coaster to reach the ground is 171.65 seconds

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Answer:

LCM = 24

Step-by-step explanation:

Answer:

Step-by-step explanation:

The first step in evaluating the expression is to perform the calculations inside the parentheses. This involves subtracting 3.6 from 7.4.

Step 1: Evaluate the expression inside the parentheses.

7.4 - 3.6 = 3.8

After evaluating the expression inside the parentheses, the expression becomes:

12 ÷ 3.8 + 8 - 2

Step 2: Perform the division.

12 ÷ 3.8 = 3.158

After performing the division, the expression becomes:

3.158 + 8 - 2

Step 3: Perform the addition and subtraction from left to right.

3.158 + 8 = 11.158

11.158 - 2 = 9.158

Therefore, the value of the given expression is approximately 9.158.

The first step is:

Work/explanation:

The expression is:

12 ÷ (7.4 − 3.6) + 8 − 2

Let's recall the order of operations first:

So we evaluate

\(\sf{12\div(7.4-3.6)+8-2}\)

\(\sf{12\div3.8+8-2}\)

Next, division:

\(\sf{3.158+8-2}\)

Next, addition & subtraction:

\(\sf{9.158}\)

Answer:

15

Step-by-step explanation:

180-15

Hello!

the sum of the angles in the triangle = 180°

so the 3rd angle = 180° - 165° = 15°

The 95% confidence interval for the poll is given as follows:

(0.3571, 0.4429).

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 95%, hence the critical value z is the value of Z that has a p-value of \(\frac{1+0.95}{2} = 0.975\), so the critical value is z = 1.96.

The sample proportion and the estimate for this problem are given as follows:

\(\pi = 0.4, n = 500\)

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

\(\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.4 - 1.96\sqrt{\frac{0.4(0.6)}{500}} = 0.3571\)

The upper bound of the interval is calculated as follows:

\(\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.4 + 1.96\sqrt{\frac{0.4(0.6)}{500}} = 0.4429\)

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10. Using the converse of the alternate interior angle theorem, we can prove that line J is parallel to line K.

Given:

Prove: J || K

Statement:

Reason: Given

Statement:

Reason: Vertical angles theorem

Statement:

Reason: Transitive property of congruence

Statement:

J || K

Reason:

Answer:

bad

Step-by-step explanation:

cause of school so yea my mental health

Answer:

It is bad at some points but on certain days it is okay.

Step-by-step explanation:

With school mainly, but I tend to manage. And I know that this isn't a school question but do you think you could give Brainliest.

\(\begin{array}{llll} \textit{Logarithm Cancellation Rules} \\\\ log_a a^x = x\qquad \qquad \stackrel{ \textit{we'll be using this one} }{a^{log_a (x)}=x} \end{array} \\\\[-0.35em] ~\dotfill\\\\ 10+\log(9x+19)=9\implies \log_{10}(9x+19)=-1\implies 10^{\log_{10}(9x+19)}=10^{-1} \\\\\\ 9x+19=10^{-1}\implies 9x+19=\cfrac{1}{10}\implies 9x=\cfrac{1}{10}-19 \\\\\\ 9x=-\cfrac{189}{10} \implies x=-\cfrac{21}{10}\)

Answer:

x = 20

Step-by-step explanation:

The angles are supplementary so:

7x + x + 20 = 180

8x + 20 = 180

8x = 160

x = 20

Answer: 4/5 17/20 9/10

Step-by-step explanation:

Find a common denominator

4/5-16/20

17/20-17/20

9/10-18/20

Answer:

The standard parabola

                                y² = -18 x +27

Length of Latus rectum = 4 a = 18

Step-by-step explanation:

Explanation:-

Given focus : (-3 ,0) ,directrix  : x=6

Let P(x₁ , y₁) be the point on parabola

PM perpendicular to the the directrix L

                          SP² = PM²

                (x₁ +3)²+(y₁-0)²  = \((\frac{x_{1}-6 }{\sqrt{1} } )^{2}\)

              x₁²+6 x₁ +9 + y₁² = x₁²-12 x₁ +36

                          y₁² = -18 x₁ +36 -9

                           y₁² = -18 x₁ +27

The standard parabola

                                y² = -18 x +27

    Length of Latus rectum = 4 a = 4 (18/4) = 18

Answer: 4 3/4

Step-by-step explanation:

Answer:

\(4 \times \frac{3}{4} \)

Step-by-step explanation:

19 ÷ 4 is equal to 4 remender 3

4 is the whole number

3 is the numerator

4 again is the denominator

In fraction form, the answer is 1/4, which represents the simplified probability of the given event occurring.

To find the probability of picking a prime number and then picking another prime number, we first need to determine the total number of possible outcomes and the number of favorable outcomes.

Given the four numbers: 5, 6, 7, and 8, we can see that there are two prime numbers (5 and 7) and two non-prime numbers (6 and 8).

The total number of possible outcomes is 4 since there are four cards to choose from.

Now, let's consider the favorable outcomes, which are picking a prime number and then picking another prime number.

The probability of picking a prime number on the first draw is 2/4, as there are two prime numbers out of the four total cards.

Since we replace the card before the second draw, the probability of picking a prime number on the second draw is also 2/4.

To find the probability of both events occurring, we multiply the individual probabilities:

(2/4) * (2/4) = 4/16 = 1/4

Therefore, the probability of picking a prime number and then picking another prime number is 1/4.

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The new dimension of the rectangular field are 45 ft by 120ft.

If the field has originally dimensions length L and width W, and we apply a scale factor K, then the new dimensions of the rectangle are:

lenght = K*L

width = K*W

In this case the original dimensions are:

L = 30ft

W = 80ft

And the scale factor is K = 1.5, then the new dimensions are:

L' = 1.5*30ft = 45ft

W' = 1.5*80ft = 120ft

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Step-by-step explanation:

3x + y = 8.4

2x + 2y = 10.08

x + y = 5.04

y = 5.04 - x

we use this then in the first equation

3x + 5.04 - x = 8.4

2x = 3.36

x = 3.36/2 = $1.68

y = 5.04 - x = 5.04 - 1.68 = $3.36

blueberries cost $3.36 per pound.

Answer:

\(p = -100t + 5000\)

The model predicts 3200 moose in 2008

Step-by-step explanation:

Given

In 1990, year (i.e p) would be 0

So:

In 1994:

\((t_1,p_1) = (4,4600)\)

In 1997 (3 years later):

\((t_2,p_2) = (7,4300)\)

To get the equation, we first solve for the slope (m)

\(m = \frac{p_2 - p_1}{t_2 - t_1}\)

Substitute values for the p's and t's

\(m = \frac{4300 - 4600}{7 - 4}\)

\(m = \frac{-300}{3}\)

\(m = -100\)

The equation is then calculated using:

\(p - p_1 = m(t - t_1)\)

Substitute values for p1, m and t1

\(p - 4600 = -100(t - 4)\)

Open bracket

\(p - 4600 = -100t + 400\)

Make p the subject

\(p = -100t + 400+4600\)

\(p = -100t + 5000\)

In 2008:

The value of t would be 18 (i.e. 2008 - 1990)

Substitute 18 for t in \(p = -100t + 5000\)

\(p = -100* 18 + 5000\)

\(p = -1800 + 5000\)

\(p = 3200\)

The model predicts 3200 moose in 2008

Answer:

Step-by-step explanation:

Q5) 4/9 is 0.4 recurring not just “0.4”

Q6) 6 and 7

Q7) 5.385

Answer:22

Step-by-step explanation:

If we slanted the dominoes, there is no changes in volume of a dominoes so its volume is 1.8 cubic inches.

Answer: 1.8 cubic inches

Answer:

Yes, the student is correct

Step-by-step explanation:

Given

\((0,-10)\)

Required

Does it represent the x intercept

At the x intercept, the value of x is 0.

So, the function \((x,y)\) becomes \((0,y)\)

\((0,-10)\) can be compared to \((0,y)\)

Hence, the student is correct

Answer:

814.795

Step-by-step explanation:

Answer:

Option 3

Step-by-step explanation:

Each value of x maps onto one value of y and vice versa.

The product of two linear functions having same variables will be a quadratic function where as the The product of two linear functions having different variables will be a linear function.

Linear function is the function whose degree is 1.

Degree of a function is the highest power of the variable of the function.

Let us take two examples.

1. Suppose the two linear functions are -

f(x) = 2x + 3 and g (x) = x + 5

The product of f(x) and g(x) will be

(2x + 3)(x + 5)

=2x (x + 5) + 3 (x + 5)

= 2x² + 10x + 3x + 15

= 2x² + 13x + 15

Here, f(x) and g(x) are the functions having same variables so there product is a quadratic function.

2. Suppose the two linear functions are -

f(x) = 2x + 3 and g (y) = y + 5

The product of f(x) and g(y) will be

(2x + 3)(y + 5)

=2x (y + 5) + 3 (y + 5)

= 2xy + 10x + 3y + 15

Here, f(x) and g(y) are the functions having different variables so there product is a linear function.

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Answer: Corporate, preferred, foreign.

Step-by-step explanation:

"Corporate bond-has the lowest default risk because of its good legacy in business. Just try to imagine 150 years of service. They have prove it. preferred stock- because of high number of prospects and the fact the its under development

foreign government bond-has the highest default risk considering that the government is unstable"