The polynomial p(x)=x^3-7x-6 has a non-factor of (x+1) rewrite p(x) as a product of linear factors.

Answer:

Clayton's average points per game is 10

Step-by-step explanation:

To find an average add all the numbers and divide the sum by the amount of numbers added.

In this case, 10 + 14 + 6 = 30. [tex]\frac{30}{3}[/tex] = 10

Hope this helps!

-MoCKEry

Answer:

t = 4 x 9 + 7

Step-by-step explanation:

Answer:

4.55%

Step-by-step explanation:

To find the percentage of deaths in relation to the number of cases confirmed, we just need to divide the number of deaths by the number of cases confirmed.

So we have that:

Percentage = Deaths / Cases

Percentage = 170 / 3739

Percentage = 0.0455 = 4.55%

The percentage of deaths in relation to the number of cases is 4.55%

Answer:

The answer is C : a cylinder with a base radius of 9 inches

Step-by-step explanation:

The area is 270² inches,  and to find the area of a rectangle is width × length . So the equation would be 270 = W × L, which would convert to 270 = W × 15 and 15 times 18 equals 270. But that is not thew answer because you would need top find the radius of the cylinder which is half of the width of the rectangle which means the radius is 9. So the answer is a cylinder with a base radius of 9 inches.

The resulting three dimensional shape is a cylinder with base radius 9 inches. Option c is correct.

A rectangle ABDE is given with area 270 inches and side AB =15 inches.
This rectangle is rotated about a line passes C and F where C and F is mid points of BD and EA respectively. The shape formed to be determine.

3D or three dimensions is define as when an object is an arbitrary space that its measure obtains on x, y and z axes.

Here,
Area of rectangle ABDE = 270
AB x BD = 270
15 x BD =270
BD = 270/15
BD = 18
Now C is mid point of BD so BC = 18/2
BC = 9
When the given rectangle rotate about CF the new 3d shape arise will  be a cylinder with radius 9 inches.

Thus, the resulting three dimensional shape is a cylinder with base radius 9 inches.

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Answer:

Overcapitalization

Step-by-step explanation:

Answer:

Step-by-step explanation:

No of total brown = 2 + 1 = 3 .

probability = 3 / 6

= 1 /2 .

no of males = 2

probability

= 2 / 6

= 1 /3

no of person who is both male and brown = 1

probability = 1 /6

Required probability

= probability of being brown + probability of being male - probability of being both

= 1 / 2 + 1 / 3 - 1 /6

= 4 / 6

= 2 / 3 .

Final answer:

The probability of a friend getting a puppy that is male, brown, or both is 2/3, which is calculated by adding the probability of getting a male puppy and a brown puppy, then subtracting the probability of the overlap (brown male).

Explanation:

The student's question concerns the probability of a friend receiving a puppy that is male, brown, or both, given the conditions of the puppies provided. To calculate this probability, we consider all possible favorable outcomes divided by the total number of outcomes. There are 2 males (1 brown, 1 white) and 4 females (2 brown, 4 total), making a total of 6 puppies. A friend can receive either a male puppy (2 out of 6) or a brown puppy (3 out of 6, since we do not count the brown male twice). Thus, the probabilities need to be added together and the intersection (the brown male counted in both categories) subtracted to avoid overcounting.

We calculate the probability as P(Male) + P(Brown) - P(Brown and Male) = 2/6 + 3/6 - 1/6 = 4/6 or 2/3. Therefore, the probability of a friend getting a puppy that is male, brown, or both is 2/3.

Answer:

You chose the right answer

y = [ -6 + 2 root(6)]/5   or  y = [-6 - 2 root(6)]/5

Step-by-step explanation:

from  (5y + 6)^2 = 24

we can take the square root of both sides

(5y + 6)  =  + root(24)  or   (5y + 6) = -root(24)

5y + 6 =  2*root(6)     or  5y + 6 = - 2 root(6)

y = [ -6 + 2 root(6)]/5   or  y = [-6 - 2 root(6)]/5

Answer:

a

Step-by-step explanation:test on e

Answer:

-23.8857

Step-by-step explanation:

1+1+2= 4

4/35+6= 6.11429

6.11429-30= -23.8857

Answer:

Step-by-step explanation:

Because two points determine a line, you can draw altitude​ BD perpendicular to AC with height h. By the definition of a sine ratio, sin(C) = h/a, which can be rearranged into​ a·sin(C) = h​. The area of △ABC is A=1/2bh. The substitution property of equality can be used to write A=1/2b(a sinC), which becomes A=1/2ab(sinC) by the commutative property of multiplication.

___

The mnemonic SOH CAH TOA reminds you that the sine ratio is ...

  Sin = Opposite/Hypotenuse

Here, the side of the right triangle opposite angle C is designated "h", the height of ∆ABC. The hypotenuse of that right triangle is side "a". So ...

  sin(C) = h/a

__

The substitution property of equality lets you replace any expression with its equal. Here, we have h=a·sin(C), so we can use a·sin(C) in place of h in the formula for triangle area:

  1/2bh = 1/2ba·sin(C)

__

The commutative property of multiplication lets you rearrange the order of the factors in a product, so ...

  ba = ab

and

  A = 1/2ba·sin(C) = 1/2ab·sin(C)

Answer:

Other user is correct

Step-by-step explanation:

Answer:

5.5

Step-by-step explanation:

In the tenths place is the 4, so you have to round from the place behind it, the 7. You round up to 5 because 7 is greater than 5.

:>

Step-by-step explanation:

In 5.4772, 4 represents your tenths place.

So, now you round based on the number beside 4 which is 7. Since 7 is greater than 5, you will round 4 up one.

So, 5,4772 becomes 5.5

5.5 is  5.4772 rounded to the nearest tenth,

Answer:

y = (5/2)x - 6

Step-by-step explanation:

We need to use slope-intercept form, which is y = mx + b, where m is the slope and b is the y-intercept.

Slope is the change in y divided by the change in x. Given the two points, we can find the difference in the y-coordinates and divide that by the difference in the x-coordinates:

m = (-11 - (-1)) / (-2 - 2) = -10 / (-4) = 5/2

Now, we have:

y = (5/2)x + b

Substitute one of the given points for x and y to solve for b:

-1 = (5/2) * 2 + b

-1 = 5 + b

b = -1 - 5 = -6

The answer is y = (5/2)x - 6.

Answer:

y = (5/2)x - 6

Step-by-step explanation:

Slope: (-1 - -11)/(2 - -2)

10/4

5/2

y = (5/2)x + c

-1 = (5/2)(2) + c

-1 = 5 + c

c = -6

y = (5/2)x - 6

Final answer:

To determine the page numbers, the product of two consecutive page numbers (n and n+1) was calculated to match 87,912, leading to the solution that Theo's textbook was opened to pages 296 and 297.

Explanation:

To find out to which pages Theo opened his textbook, when the product of the facing pages was 87,912, we should realize that facing pages in books have consecutive numbers. Therefore, if one page is n, the facing page would be n+1. The product of these two pages is n(n+1)= 87,912. We are solving a quadratic equation here.

Starting with an approximation, square roots of numbers near 87,912 can help identify potential page numbers. The square root of 87,912 is a bit less than 300 (since 300² = 90,000). Therefore, one of the page numbers will be just under 300, and the other just above.

Attempting a few calculations, we notice that 296² = 87,616 and 297² = 88,209. Between these two, 296 × 297 = 87,912, giving us the page numbers Theo's book is open to: 296 and 297.

Answer:

see below

Step-by-step explanation:

Draw a line with points on it from -10 to 10 going by 1

Put a dot at -5 for the -5 point

-(-5) is 5

Put a dot at 5

Answer:

Draw a straight horizontal line, and mark integers on it in increasing order as you move towards the right

Start counting from 0.

For -5, place a mark 5 units towards left of 0

For -(-5), which is actually +5, place a mark 5 units towards right of 0

Answer:

y+2=3/4(x+5)

Step-by-step explanation:

The first step is to find the slope of the line. Between the two points, the line rises from a y value of -2 to a y value of 4, or a total rise of 6 units. It also goes to the right from an x value of -5 to an x value of 3, which is a total of 8 units. 6 units of rise over 8 units of run is a total slope of 6/8=3/4. Now, you can use the point slope form for either one of the points (I'll use the leftmost one).

y+2=3/4(x+5)

Hope this helps!

One answer in point slope form: y + 2 = (3/4)(x + 5)

Answer in slope intercept form: y = (3/4)x + 7/4

Answer in standard form: 3x-4y = -7

===============================================

Explanation:

First we need the slope of the line

Find the slope of the line through (x1,y1) = (-5,-2) and (x2,y2) = (3,4)

m = (y2 - y1)/(x2 - x1)

m = (4 - (-2))/(3 - (-5))

m = (4 + 2)/(3 + 5)

m = 6/8

m = 3/4

-------

Plug m = 3/4 and (x1,y1) = (-5,-2) into the point slope formula. Solve for y.

y - y1 = m(x - x1)

y - (-2) = (3/4)(x - (-5))

y + 2 = (3/4)(x + 5)

y + 2 = (3/4)x + (3/4)*5 ... distribute

y + 2 = (3/4)*x + 15/4

y + 2 - 2 = (3/4)*x + 15/4 - 2 ... subtract 2 from both sides

y = (3/4)x + 15/4 - 8/4

y = (3/4)x + (15-8)/4

y = (3/4)x + 7/4

This equation is in slope intercept form y = mx+b

m = 3/4 is the slope, b = 7/4 is the y intercept

-------

Multiply both sides by 4 to help convert to standard form

y = (3/4)x + 7/4

4y = 3x+7

-7 = 3x-4y

3x-4y = -7

This is in the form Ax+By = C

A = 3, B = -4, C = -7

Answer:

6! = 6*5*4*3*2*1  =  30*12*2 = 30*24 = 720

3! * 2! =  3*2*1 * 2*1  = 6*2 = 12

6! / 3! =  720 / 12 = 60

Step-by-step explanation:

6! = 6*5*4*3*2*1  =  30*12*2 = 30*24 = 720

3! * 2! =  3*2*1 * 2*1  = 6*2 = 12

6! / 3! =  720 / 12 = 60

The value of the expression will be 6! = 720, 3! • 2! = 12, and 6! / 3! = 120.

The factor of n is given as the production of the number n, (n - 1), (n - 2), ..., and 1. Then the factorial of n is given as

n! = n x (n - 1) x (n - 2) x ... 3 x 2 x 1

The expressions are

6! = 6 x 5 x 4 x 3 x 2 x 1

6! = 720

3! • 2! = 3 x 2 x 1 x 2 x 1

3! • 2! = 6 x 2

3! • 2! = 12

6! / 3! = 720 / 6

6! / 3! = 120

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Answer:

1) 65:1

2) 65 to 1

3) 65

1 ( this is a fraction)

Answer:

10 batches

Step-by-step explanation:

3/4 cups = 1 muffins

15/2 cups = x muffins

For x muffins,

3/4 × X = 15/2 × 1

3x × 2 = 15×4

6x = 60

Divide both sides by 6

6x/6 = 60/6

X = 10

Hence 10 batches of muffins will be made from 15/2 cups of nuts.

Answer:

There will be 200g of aluminium.

Step-by-step explanation:

We use a rule of three to solve this question.

However, the relationship between the variables are inverse, which means that we use an inverse rule of three. This means that we are going to multiply the values laterally, instead of diagonally(cross multiplication).

We have these following relationships:

600g aluminum - 40g tim

xg aluminium - 120g tin

Multiplying laterally:

[tex]120x = 600*40[/tex]

[tex]x = \frac{600*40}{120}[/tex]

[tex]x = 200[/tex]

There will be 200g of aluminium.

Final Answer:

When there is 120 grams of tin, there will be 200 grams of aluminum.

Explanation:

In problems involving inverse variation, the formula that describes the relationship between two variables (in this case, aluminum and tin) is as follows:
k = xy
where:
- k is the constant of variation,
- x is the amount of aluminum, and
- y is the amount of tin.
Given that there are 600 grams of aluminum when there are 40 grams of tin, we can use these values to find the constant of variation (k). We can set up the equation and solve for k with the given values.
[tex]\[ k = 600 \text{ grams of aluminum} \times 40 \text{ grams of tin} \\\\\[ k = 24000 \text{ (constant of variation)} \][/tex]
Now that we have the constant of variation, we know this constant remains the same even when the amounts of aluminum and tin change, providing the inverse relationship is maintained.
Now we want to find out how many grams of aluminum there will be when there is 120 grams of tin. We set up the inverse variation formula and solve for x now that y is given as 120 grams:
k = xy
Given that k = 24000 from our previous calculation, we find x:
[tex]\[ x = \frac{k}{y} \\\\\[ x = \frac{24000}{120} \\\\\[ x = 200 \text{ grams of aluminum} \][/tex]
Therefore, when there is 120 grams of tin, there will be 200 grams of aluminum.

Answer: x=2

Use math-way and put 3x+4/6x-2=9/9

The sequence g(n) is a geometric sequence with an explicit formula of g(n) = (2/3)^n * 900 grams.

The sequence g(n) represents the amount of contaminants (in grams) that remains at the beginning of the nth hour. Each hour, a third of the contaminants is filtered out. To determine whether g(n) is an arithmetic or geometric sequence, we need to examine the change in the amount of contaminants from one hour to the next.

Let's look at the first few terms of the sequence:

From the pattern, we can see that each term of g(n) is obtained by multiplying the previous term by 2/3. Therefore, g(n) is a geometric sequence.

The explicit formula for the sequence g(n) can be written as g(n) = (2/3)^n * 900 grams.

Answer:

The height of the clothing truck is 6 feet

Step-by-step explanation:

Length of truck = 12 feet

Width of truck = 8 feet

Let h be the height of truck

Volume of truck which is shaped like rectangular prism =[tex]Length \times Width \times Height[/tex]

Volume of truck which is shaped like rectangular prism =[tex]12 \times 8 \times h[/tex]

We are given that The volume of the truck 576 ft cubed.

So, [tex]12 \times 8 \times h = 576[/tex]

[tex]h = \frac{576}{12 \times 8}[/tex]

h=6

Hence the height of the clothing truck is 6 feet

Answer:1 over 5 to the 9th power (1 over 1953125).

Step-by-step explanation:

5^-6/5^3 hard to show fractions and exponents, but since 5^-6 is a negative exponent you must flip in, or put it on the bottom. So now you have 1 over 5 to the 9th power(1/5^9), or more simplified 1 over 1953125(1/1953125).

Answer:

1/5 to the 9 power

Step-by-step explanation:

Answer:

49

Step-by-step explanation:

if you multiply 7 by itself it would equal 49

The expression 7 by the power of 2 when evaluated in standard form has a value of 49

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

7 to the power of 2

Express as an equation

So, we have

7 to the power of 2 = 7²

When expanded, we have

7 to the power of 2 = 7 * 7

Evaluate the products

This gives

7 to the power of 2 = 49

Hence, the solution is 49

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Answer:

The median amount of money raised is $5.00

Step-by-step explanation:

To find the median amount of money raised, we will follow the steps below:

First, arrange the data giving in ascending order. That is

$6.00, $7.00, $4.00, $5.00, $3.00

We will arrange it in ascending order, hence

$3.00, $4.00, $5.00,  $6.00, $7.00

The median is the middle number, we will now proceed to take the middle number.

The middle number is $5.00

Therefore, the median amount of money raised is $5.00

The median amount of money raised by the 5 families is $5.00.

To find the median amount of money raised by the 5 families, we first need to arrange the amounts in ascending order:

The median is the middle number in a sorted, ascending or descending, list of numbers. Since there are 5 numbers, the median is the third number in this ordered list. Therefore, the median amount of money raised is $5.00.

Answer:

1. w = nr

2. His wage is £52.00

Step-by-step explanation:

1. Given that wages is a function of number of hours worked multiplied by hourly rate

Where n represents hours and r represents rate.

Wage formula is as follows;

Wage (w) = hours (n) * rate (r)

w = n * r

w = nr

2. If he worked 5 hours at a rate of £10.40 per hour

This means

n = 5

r = 10.40

His wage is as follows;

w = nr

w = 5 * £10.40

w = £52.00

Hence, his wage is £52.00

Final answer:

Explanation of Gordon's wages formula and a calculation example for working 5 hours at a specific rate.

Explanation:

The formula for calculating Gordon's wages, w, is given by multiplying the number of hours he works, n, by his hourly rate, r.

A formula for Gordon's wages: w = n * r

Wages earned by Gordon working 5 hours at a rate of £10.40 per hour:

Substitute n = 5 and r = £10.40 into the formula:

w = 5 * £10.40

= £52

The wage Gordon would earn if he worked 5 hours at a rate of £10.40 per hour is £52.

Answer:

x= 6

Step-by-step explanation:

We can use the Pythagorean theorem to find x

x^2 + 2.5^2 = 6.5 ^2

x^2+ 6.25 =42.25

Subtract 6.25 from each side

x^2+ 6.25-6.25 =42.25-6.25

x^2 =36

Take the square root of each side

x = sqrt(36)

x= 6

Answer:

x=6

Step-by-step explanation:

This is a right triangle, because of the little square in the corner. Therefore, we can use the Pythagorean Theorem.

a^2+b^2=c^2

Where a and b are the legs and c is the hypotenuse.

In this triangle, we know that 2.5 and x are the legs, because they form the right angle. We know that 6.5 is the hypotenuse, because it is opposite the right angle.

Therefore, 2.5 and x are a and b, and 6.5 is c.

2.5^2+x^2=6.5^2

Evaluate the exponents

6.25+x^2=42.25

Since we are trying to find x, we have to get x by itself. First, subtract 6.25 from both sides

6.25-6.25+x^2=42.25-6.25

x^2=36

Next, take the square root of both sides, because x is being squared.

[tex]\sqrt{x^2}=\sqrt{36[/tex]

x=6

Answer:

287 rounded to the nearest hundred would be 300.

Answer:

300

Step-by-step explanation:

Note the hundreds place value (bolded and underlined)

287

Look at the place value directly next to it (the tens place value). It is an 8. Because 8 is greater than 5, round up:

287 rounded to the nearest hundreds is 300.

300 is your answer.

~

Answer: As to confirm, a and d are right. I got it on edge

For survey questions specifically for elementary school students, the questions 'What is the average number of days per week that you color with markers?' and 'What is your favorite type of pet?' would be suitable.

In relation to the population of elementary school students, there are certain survey questions that would be relevant and gather pertinent data. Among the options given, the questions that would be suitable are:

'What is the average number of days per week that you color with markers?'

'What is your favorite type of pet?'

These two questions relate directly to the activities and preferences typical of elementary school students, thus can provide relevant data if one is conducting a survey with this specific population. The other questions about accountant salary, raining days, and redwood tree height, do not directly relate to this population and thus are not viable options for this survey.

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