The product of 3 and a number equals the sum of 16 and a number.

Answers

Answer 1

Answer:

The numbers can be either -8,-7,-6, or 6, 7, 8.

n(n−1)(n+1)=16(n−1+n+n+1)  

⟹n(n2−1)=16×3n  

⟹n(n2−1)n=48nn  

⟹(n2−1)−48=48−48  

⟹n2−49=0  

⟶(n−7)(n+7)=0  

n  can be  7  or  −7 , so the numbers can be either  −8,−7,−6  

Or

6,7,8

Step-by-step explanation:

Answer 2
6,7,8 is are variable

Related Questions

HELLLLLLLLLLLLLPPPPPPPPPP

HELLLLLLLLLLLLLPPPPPPPPPP

Answers

second one is correct

mark me brainlist

The spinner is spun 150 times. Predict the

probability, that the spinner would land on green.

75

25

The fabric store is having a sale. The price of every item in the store has been

reduced by 30%

Write an equation that shows the proportional relationship between the regular

price, r, of an item at the fabric store and its sale price, s.

Answers

To answer the first question, the spinner has only two colors: green and blue. The probability of landing on green is given by the ratio of the number of green sections to the total number of sections.

1. Probability of the spinner landing on green:

To predict the probability of the spinner landing on green, you need to know the total number of possible outcomes and the number of favorable outcomes (landing on green). Let's assume there are "x" favorable outcomes for green.

Probability of landing on green = (Number of favorable outcomes) / (Total number of outcomes)

Since the spinner is spun 150 times, the total number of outcomes is 150. The probability will be:

Probability of landing on green = x / 150



2. Proportional relationship between regular price and sale price:

The fabric store is having a sale, and every item's price is reduced by 30%. To find the proportional relationship between the regular price (r) and the sale price (s), we can use the following equation:

Sale price (s) = Regular price (r) * (1 - Discount percentage)

Since the discount percentage is 30%, we can write the equation as:

s = r * (1 - 0.30)

or

s = 0.70r

This equation shows the proportional relationship between the regular price (r) and the sale price (s).

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HELP PLEASEEE ill mark Brainly

1. (Question in picture)
2. Simplifiy √(1-cos0)(1+cos0)

HELP PLEASEEE ill mark Brainly1. (Question in picture)2. Simplifiy (1-cos0)(1+cos0)

Answers

Answer:

lol i cant see it sorry

Step-by-step explanation:

match each discription with the expression containing terms that model it.

match each discription with the expression containing terms that model it.

Answers

Answer:

Step-by-step explanation:

match each discription with the expression containing terms that model it.

3 four drinks at Starbucks cost $14.00. How much do 7 drinks cost?

Answers

Answer:

32.2

Step-by-step explanation:

divide 14 by 3 to get 4.6 then you multiply 7 by 4.6

Hope this helped you

I need help with this one please

I need help with this one please

Answers

Answer:

84 degrees

Step-by-step explanation:

i think so because if thats 48 then lki would also be 48 so subtract both 48s from 180 and u get 84 if im wrong im srry :)

The answer is 132. This is because angles JKN and LKN added together =180 so you would do 180-48=132

SOMEONE PLEASE HELPPPP!!! LOOK AT THE PICTURE!​

SOMEONE PLEASE HELPPPP!!! LOOK AT THE PICTURE!

Answers

Answer:

x+2=3

collect like terms

x=3-2

x=1

x-12=x+30

collect like terms

x-x=30-12

=18

2(x+6)=2x+12

open bracket

2x+12=2x-12

collect like terms

2x-2x=-12+12

=0

3(x-2)=3x-2

open bracket

3x-6=3x-2

collect like terms

3x-3x=-2+6

=4

A bag contains 4 blue marbles, 9 green marbles, and 5 red marbles. One marble is drawn from the bag. What is the probability that the marble drawn is not blue?

Answers

Answer:

4blue marble+9 green marble+5 red marble=18marble totle

1 marble probility=1/17

Write your answer as a whole number and remainder.
19 + 7 =
R

Write your answer as a whole number and remainder.19 + 7 =R

Answers

26 all you gotta do is add!

Two parallel lines are cut by a transversal.

1/2
3/4
5/6
7/8

If the measure of 2 is 75°, what is the measure of 5?

A.) 180°
B.) 75°
C.) 105°
D.) 90°

Two parallel lines are cut by a transversal.1/23/45/67/8If the measure of 2 is 75, what is the measure

Answers

The measure of angle 5 of the transverse lines is; C.) 105°

How to solve the Line transversal theorem?

The line transversal theorem states that If two parallel lines are cut by a transversal, then it means that corresponding angles are congruent. Two lines cut by a transversal are parallel IF AND ONLY IF corresponding angles are congruent.

Now, we are given that the measure of 2 is 75°. It is clearly seen that angle 5 is a corresponding angle to angle 1 and angle 1 forms a straight line with angle 2. Sum of angles on a straight line is 180 degrees. Thus;

angle 5 = 180 - 75

angle 5 = 105°

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The table shows the temperature (V) as different altitudes of). This is a linear relationship was the 0.00468 te dele The temperature at an altitude of 5,000 feet

Answers

\(\begin{gathered} \text{the general straight line equation is} \\ y=mx+b \\ \text{where m is the slope and b the y-intecept} \\ b\text{ can be obtained easily when x=0, because} \\ y=m(0)+b\Rightarrow y=b \\ \\ In\text{ this case, we can s}e\text{ that, when x=0} \\ y=69 \\ \text{hence b=69} \end{gathered}\)\(maybeyoumustwritethetemperaturesymbol\)\(\text{can you s}ee\text{ this message?}\)\(\text{may be you must write the temperature symbol "F". because this answer is correct.}\)\(\text{its very strange, its the only answer for linear behavior}\)

GUYS!!!!!!!!! HELP! ASAP!!!!! I. NEED. HELP!

GUYS!!!!!!!!! HELP! ASAP!!!!! I. NEED. HELP!
GUYS!!!!!!!!! HELP! ASAP!!!!! I. NEED. HELP!

Answers

Answer:Just click on the lines that it tells you to do and that should be your answer... I know that wasn't very helpful but I'm not to positive about my answer or what it is.

Step-by-step explanation:

\(\sf -9(8-2h)\)

Answers

Rearrange terms

−9(8−2h)

−9(−2h+8)

Distribute

−9(−2ℎ+8)

18ℎ − 72

solution

18ℎ − 72

\(-9(8-2h)\)

\(-9(2h-8)\)

\(18h-72\)

(Therefore, The final answer is 18h-72)

simplify the expression
4t + 10t

Answers

Answer:

Add 4t and 10t

14t

Step-by-step explanation:

When you have the same variable you simply can add them together.

Hope this helps :)

D is 2, it got cut off

D is 2, it got cut off

Answers

The answer is B or number 4

HELP WILL MARK YOU BRAINLIEST, PLS I NEED ASAP

HELP WILL MARK YOU BRAINLIEST, PLS I NEED ASAP

Answers

Answer:

Pizza 1: lenght(l)=16 and width(w)=4

Perimeter=40in.

Pizza 2: l=32 and w=2

Perimeter=68in.

Step-by-step explanation:

1. List down factors of 64.

64=1,2,4,8,16,32,64

2. Select the factors you'll be using to draw your rectangles. In this case I selected the factors 2,4,16 and 32 because area of rectangle=l×w. Therefore 2×32=64 and 4×16=64.

3. Draw your rectangles according to the measurements you chose. If the drawing is too big to fit the box you can simply use a scale. Such as 1 inch=4 inches on your drawing. For example, when drawing the length of the second Pizza which is 32in. you can simply draw a line of 8 inches.

4. After drawing your pizzas you niw have to find the Perimeter of both. Simply use the formula Perimeter of a rectangle=2(l+w)

Pizza 1: Perimeter=2(16+4)

=2×20

=40in.

Now do the same for Pizza 2 using its own lengjt and width. Hope this helped.

one of the volunteers whose sam 77 test result was positive will be chosen at random. to the nearest 0.001 , what is the probability the chosen volunteer does not possess yq 77 ?

Answers

The probability the chosen volunteer does not possess yq 77 is 0.655 (nearest to three decimal places).

Given information: One of the volunteers whose sam 77 test result was positive will be chosen at random.

To find: The probability the chosen volunteer does not possess yq 77.

Let P(Y) be the probability that a volunteer possesses yq77 and P(Y') be the probability that a volunteer does not possess yq77. It is given that out of 150 volunteers, 77 tested positive for SAM.

Therefore, the probability of testing positive for SAM is:

P(SAM) = number of volunteers who tested positive for SAM / total number of volunteers= 77/150

Now, using the probability law of total probability, we can find the probability of a volunteer not possessing yq77, as follows:

P(Y') = P(Y'|SAM) P(SAM) + P(Y'|SAM') P(SAM')

It is given that yq77 is found in 60% of volunteers who tested positive for SAM, and in 30% of those who did not test positive for SAM.

Therefore:

P(Y'|SAM) = 0.6, P(Y'|SAM') = 0.3

Now, substituting the given values in the equation,

P(Y') = (0.6 × 77/150) + (0.3 × 73/150)≈ 0.655

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6. Shrinking square The sides of a square decrease in length at a rate of 1 m/s.
a) At what rate is the area of the square changing when the sides are 5 m long?
b) At what rate is the are the lengths of the diagonals of the square changing?

Answers

Lengths of the diagonals are decreasing at a rate of approximately 7.07 meters per second when the sides are 5 meters long.

Area of the square is decreasing at a rate of 10 square meters per second when the sides are 5 meters long.

How to calculate lengths and area ?

a) To find the rate of change of the area of the square, we can use the formula A = s², where A is the area and s is the length of the side. We can take the derivative of both sides with respect to time to get dA/dt = 2s(ds/dt).

Puting in the values given, we get dA/dt = 2(5)(-1) = -10 m²/s. Therefore, the area of the square is decreasing at a rate of 10 square meters per second when the sides are 5 meters long.

b) To find the rate of change of the lengths of the diagonals, we can use the Pythagorean theorem. Let d be the length of the diagonal, then d² = s² + s² = 2s². Taking the derivative of both sides with respect to time, we get

2d(dd/dt) = 4s(ds/dt).

Puting in the values given, we have 2d(dd/dt) = 4(5)(-1), which simplifies to dd/dt = -10/sqrt(2) m/s.

Therefore, the lengths of the diagonals are decreasing at a rate of approximately 7.07 meters per second when the sides are 5 meters long.

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Follow the steps to solve for the variable in this two-step equation:

5x – 10 = 0 helps please n ty

Answers

Answer:

x = 2

Step-by-step explanation:

5x - 10 = 0

add 10 to each side

5x = 10

divide both sides by 5

x = 2

A biologist wants to create an SRS to study the effect of a medication on the respiration rate of his subjects. He places the ID number of each of the subjects into a box, shakes the box, and chooses 10 of the ID numbers without looking. Which statement best describes this sample? It is a random sample but not an SRS. It is both a random sample and an SRS. It is neither a random sample nor an SRS. It is an SRS but not a random sample.

Answers

Answer: this will help you

Step-by-step explanation:

A biologist wants to create an SRS to study the effect of a medication on the respiration rate of his subjects.

Answer: B. It is both a random sample and an SRS.

iff (x) = 4x3 + 3x2 - 5x + 20 and g(x) = 9x3 - 4x2 + 10x - 55, what is (g- f)(x)?
13x3 - x2 + 5x - 35
5x3 + x2 + 5x + 35
ОА
OB
- 5x3 + 7x2 - 15x + 75
5x3 - 7x2 + 15x - 75

Answers

Answer:

(g-f)(x) = 9x³ - 4x² + 10x - 55 - [ 4x³ +3x² - 5x + 20]

Step-by-step explanation:

Which one of the following correctly describes a type ll error?
A. The null hypothesis is rejected in error.
B. The research hypothesis is rejected in error.
C. The study was underpowered.
D. The study was not double-blinded.
E. The research hypothesis is accepted in error.

Answers

The correct answer is A. The null hypothesis is rejected in error.

In statistical hypothesis testing, a Type II error occurs when the null hypothesis is incorrectly retained or failed to be rejected when it is actually false.

In other words, a Type II error happens when the researcher concludes that there is no significant difference or relationship between variables when, in reality, there is.

It is a false negative result, as the researcher fails to detect a true effect or relationship.

Option A accurately describes Type II error, while the other options are not related to Type II error.

Option B refers to rejecting the research hypothesis, which is not a Type II error but rather a Type I error.

Option C refers to the study being underpowered, which may increase the likelihood of both Type I and Type II errors but is not a direct description of Type II error.

Option D mentions double-blinding, which is a methodological consideration and not directly related to Type II error.

Option E refers to accepting the research hypothesis in error, which is not a Type II error but rather a correct decision or Type I error.

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pleas i need this asap

pleas i need this asap

Answers

a) The roots of the graph are used to factor the function, according to the Factor Theorem.

b) The factored polynomial is given as follows: x² + x - 6 = (x + 3)(x - 2).

How to factor the polynomial?

We are given the roots for each function, hence the factor theorem is used to define the functions.

The function is defined as a product of it's linear factors, if x = a is a root, then x - a is a linear factor of the function.

From the graph, the roots are given as follows:

x = -3 and x = 2.

Hence the linear factors are:

x + 3.x - 2.

Then the factored polynomial is given as follows:

x² + x - 6 = (x + 3)(x - 2).

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ASAP 100 POINTS, WILL MARK BRAINLIEST, should be a whole number

ASAP 100 POINTS, WILL MARK BRAINLIEST, should be a whole number

Answers

Answer:

\(x=2.\)

Step-by-step explanation:

\(\text{Since Pythagoras Theorem, we have}\\10^2=x.(x+48)\\\Rightarrow x^2+48x=100\\\Rightarrow x^2+48x-100=0\\\Rightarrow x^2 -2x+50x-100=0\\\Rightarrow x.(x-2)+50.(x-2)=0\\\Rightarrow (x-2).(x+50)=0\\\Rightarrow x=2 \: \text{or} \: x=-50.\\\text{Since x is positive}\\\text{Therefore}, x=2.\)

\(\\ \rm\Rrightarrow 10^2=x(x+48)\)

\(\\ \rm\Rrightarrow 100=x^2+48x\)

\(\\ \rm\Rrightarrow x^2+48x-100=0\)

\(\\ \rm\Rrightarrow x^2+50x-2x-100=0\)

\(\\ \rm\Rrightarrow x(x+50)-2(x+50)=0\)

\(\\ \rm\Rrightarrow (x+50)(x-2)=0\)

\(\\ \rm\Rrightarrow x=-50,2\)

Distance must be positive

x=2

The revenue from the sale of a product is given by the function R=400x−x3. Selling how many units will give positive revenue?

The revenue from the sale of a product is given by the function R=400xx3. Selling how many units will

Answers

ANSWER:

Selling more than 0 and less than 20 units will give positive revenue.

STEP-BY-STEP EXPLANATION:

We have the following function:

\(R=\: 400x-x^3\)

Now, we propose the following inequality:

\(\begin{gathered} 400x-x^3>0 \\ \text{ solving for x:} \\ x\cdot(400-x^2)>0 \\ x\cdot(x-20)\cdot(x+20)>0 \\ \text{ therefore:} \\ x>0 \\ x-20>0\rightarrow x>20 \\ x+20>0\rightarrow x>-20 \\ \text{ in interval form:} \\ (-\infty,-20)\cup(0,20) \end{gathered}\)

Since negative units cannot be sold, we are then interested in the range from 0 to 20, therefore, if more than 0 and less than 20 units come in, the revenue will be positive.

condense the expression

condense the expression

Answers

Answer:

log 5= √16

________

x^3 y^4

because of strong headwinds, an airplane’s ground speed for the first half of a 2000 km trip average only 600 km/h. what must it’s ground speed be for the rest of the trip if it is to average 720 km/h for the entire trip?

Answers

Answer:

its 3,320 km/h

your welcome my job is to help you

The vertex form of h(x) = x2 – 14x + 6 is h(x) = (x –
)2 –
.

Answers

Answer: Find the vertex form of h(x) = x2 - 14x + 6?

Solution:

It is given that,

h(x) = x2 - 14x + 6

We know that the vertex form is obtained by completing the square.

So we have to add and subtract a term, which is formed by the squared power of half the coefficient of the linear term:

= x2 - 14x + 6

= x2 - 14x + 6 + (14/2)2 - (14/2)2

= x2 - 14x + 6 + 72 - 72

= x2 - 14x + 72 + 6 - 72

Use the algebraic identity,

(a - b)2 = a2 - 2ab + b2

= (x - 7)2 + 6 - 72

= (x - 7)2 + 6 - 49

= (x - 7)2 - 43

Therefore, the vertex form of h(x) = x2 - 14x + 6 is (x - 7)2 - 43.

Find the vertex form of h(x) = x2 - 14x + 6?

Summary:

The vertex form of h(x) = x2 - 14x + 6 is (x - 7)2 - 43.

Step-by-step explanation:

Amanda’s dog eats 7 1/2 pounds of dog food in 2 weeks, how much does Amanda’s dog eat each day?

Answers

Answer:

Step-by-step explanation:

7.5 pounds divided by 14 days= 0.5357 pounds or 0.54

Answer:

684

Step-by-step explanation:

6-h-4+44

Fancy food catering prepares 3696 fluid ounces of fruit punch foe a wedding reception. they plan to divide the punch equally among 4 different punch bowls. each serving of punch 6 ounces. how many servings of fruit punch are available at the reception?

Answers

Fruit punch is served during the reception in 154-ounce cups using division.

Describe a division.

Repetitive subtraction is the process of division. It is the multiplication operation's opposite. It is described as the process of creating equitable groupings. When dividing numbers, we divide a bigger number down into smaller ones such that the larger number obtained will be equal to the multiplication of the smaller numbers.

For instance, 4 2 Equals 2. As a multiplication fact, this can be expressed as 2 + 2 = 4.

The division is represented mathematically by a symbol consisting of a tiny horizontal line with dots above and below the line. The division of two integers is represented by one of two fundamental division symbols.

Total fruit punch foe prepared = 3696 ounces

Number of punch balls = 4

Each serving has = 6 ounces of punch

So, 4 servings will have

4 × 6 = 24

The number of servings of fruit punch available at reception is given by

3696÷24

= 154

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