How to evaluate 8(2/3)

Answer:

2x² - 4x

Step-by-step explanation:

Subtract the known binomial from the sum to obtain the other binomial

5x² - 6x - (3x² - 2x)

= 5x² - 6x - 3x² + 2x

= 2x² - 4x ← the other binomial

Answer:

The skier would have to to go 4 times for the season pass to be cheaper than the day stump.

Step-by-step explanation:

This is because the day pass is $103, including ski rentals. $103 times 4 is 412.    Then I have to find out what the cost is for 4 ski rentals, which is 25 times 4. That means that 4 ski rentals are $100. Then I add that to the $300, and that is $400. So therefore, the season pass is cheaper after 4 times of going skiing.

Answer:

-7

Step-by-step explanation:

When you divide a polynomial f(x) by (x-c), the remainder r will be f(c).  

hence you will get the remainder by putting the 2 as value of x:  

f(x) = -3x² + 7x - 9

f(2) = -3(2)² +7(2) - 9

      = -3(4) + 14 - 9

      = -12 + 5

remainder = -7

Final answer:

When substituting x with 2 in the polynomial -3x² + 7x - 9, you simply evaluate it directly. The calculation gives -3(2²) + 7(2) - 9, resulting in a remainder of -7.

Explanation:

To find the remainder when a polynomial is divided by a monomial like x - 2, you can use synthetic division. However, you have asked about the division of -3x² + 7x - 9 by 2, which is actually a simple polynomial evaluation, not a division problem. We will substitute x with 2 in the polynomial and find the remainder.

The polynomial is -3x² + 7x - 9. To find the remainder when we substitute x = 2, we evaluate the polynomial:

-3(2)2 + 7(2) - 9 = -3(4) + 14 - 9 = -12 + 14 - 9 = 2 - 9 = -7.

Therefore, the remainder when 2 is substituted into the polynomial -3x² + 7x - 9 is -7.

Answer:

The value of x is x

Step-by-step explanation:

Answer: x = 5

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Answer:

B.There is a weak negative association.

Step-by-step explanation:

The probability that Craig will get a green gumdrop and a piece of butterscotch candy is 4/25.

To find the probability that Craig will get a green gumdrop and a piece of butterscotch candy, we need to calculate the probability of each event happening separately and then multiply those probabilities together.

There are 5 gumdrops in the first jar with 4 being green, so the probability of choosing a green gumdrop is 4/5. In the other jar, there are 5 pieces of candy with 1 being butterscotch, so the probability of choosing a butterscotch candy is 1/5. Multiplying these probabilities together gives us 4/5 × 1/5 = 4/25.

Answer:

Step-by-step explanation:

The formula of an area of a triangle:

[tex]A_\triangle=\dfrac{1}{2}ab\sin\theta[/tex]

a, b - adjacent sides

θ - included angle

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

7.

a = 9in, b = 14in, θ = 85°

sin85° ≈ 0.9962

Substitute:

[tex]A_\triangle=\dfrac{1}{2}(9)(14)\sin85^o=\dfrac{1}{2}(126)(0.9962)\approx62.8 in^2[/tex]

8.

a = 12 in, b = 5 in, θ = 135°

sin135° = sin(180° - 45°) = sin45° ≈ 0.7071   used sin(180° - x) = sin(x)

Substitute:

[tex]A_\triangle=\dfrac{1}{2}(12)(5)\sin135^o=\dfrac{1}{2}(60)(0.7071)\approx21.2\ in^2[/tex]

A. 272 1/4 ft

B. 68 5/8 ft

Hope this helps!

Shannon and Leslie need to carpet 272.25 square feet in a room with an entertainment system that takes up 12.25 square feet. Therefore, they need to buy 12.25 square feet of carpet.

Shannon and Leslie are planning to carpet a square room that measures 16.5 feet by 16.5 feet. However, they need to account for an entertainment system that juts out into the room, taking up 3.5 feet by 3.5 feet of space.

A. Area of the space with no carpet:

To determine the area of the space with no carpet, we first calculate the area of the entertainment system:

Area of entertainment system = 3.5 feet * 3.5 feet = 12.25 square feet

Next, we subtract the area of the entertainment system from the total area of the room:

Total area of room - area of entertainment system = area of space with no carpet

272.25 square feet - 12.25 square feet = 260 square feet

Therefore, the area of the space with no carpet is 260 square feet.

B. Carpet needed for the room:

To calculate the amount of carpet Shannon and Leslie need to buy, we simply subtract the area of the space with no carpet from the total area of the room:

Total area of room - area of space with no carpet = area of carpet needed

272.25 square feet - 260 square feet = 12.25 square feet

Shannon and Leslie need to buy 12.25 square feet of carpet.

Answer:

1/4 , B

Step-by-step explanation:

This is because it is being kept on multiplying by 1/4 for each pattern.

Answer:

B) 1/4

Step-by-step explanation:

right on edu.

Answer:

y = 4 cosx

Step-by-step explanation:

The standard form of cosine is

y = acos(bx)

where amplitude = | a |

with maximum value a and minimum value - a

The only expression in this form is

y = 4cosx

Answer:

y = 4 cosx

Step-by-step explanation:

Answer:0.139 moles

Step-by-step explanation:

moles =[tex]\frac{mass}{Mr}[/tex]

NOTE: molecular mass of silver is 107.8682

n= [tex]\frac{15}{107.8682}[/tex]

this will give you the final answer of

n= 0.139 moles OR 0.14 moles

Final answer:

To find the number of moles in 15 grams of silver, divide the mass by the molar mass of silver (107.87 g/mol). The result is approximately 0.139 moles of silver.

Explanation:

To find the number of moles in 15 grams of silver, we can use the molar mass of silver. First, the molar mass of silver (Ag) is 107.87 grams per mole, which is the mass of one mole of silver.

We can calculate the number of moles of silver using the formula:

Number of moles = Mass of the substance (in grams) / Molar mass of the substance (in grams per mole)

So, for silver:

Number of moles = 15 grams / 107.87 grams/mole

When we perform this calculation:

Number of moles = 0.139 moles (rounded to three decimal places)

Therefore, there are approximately 0.139 moles of silver in 15 grams of the metal.

Answer:

c = 4/3

Step-by-step explanation:

3(c + 8) = 28

Since we have paranthesis, first use the dsitributive property [multiply 3 by c and 8]

3(c + 8) = 28

3c + 24 = 28

To find the value of c, you must have c alone on one side, so subtract 24 from both sides

3c + 24 = 28

3c = 4

Now, divide by 3 to both sides to get your answer

3c = 4

c = 4/3

Therefore, the answer is 4/3!

I hope this helps! :)

3 (c + 8) = 28

3 x c = 3c

3 x 8 = 24

3c + 24 = 28

3c + 24 - 24 = 28 - 24

3c = 4

3c/3 = 4/3

C = 4/3

Answer:

Step-by-step explanation:

This distribution is "unimodal" and "skewed right."

Answer:

Yoooo, I think we go to the same school! And the other person is correct

Step-by-step explanation:

Answer: [tex]-x^2-x+9[/tex]

Step-by-step explanation:

To simplify the given polynomial [tex]2x^2+6x-7x+8-3x^2+1[/tex] we need to add the like terms. Then we get:

[tex]2x^2+6x-7x+8-3x^2+1=(2x^2-3x^2)+(6x-7x)+(8+1)=-x^2-x+9[/tex]

Therefore, we get that the polynomial simplified is:

[tex]-x^2-x+9[/tex]

Which is a trinomial ( A polynomial that has three terms) of degree 2 (Because the highest exponent is 2).

Answer:

Final answer is [tex]-x^2-x+9[/tex].

Step-by-step explanation:

Given polynomial is [tex]2x^2+6x-7x+8-3x^2+1[/tex].

Now we need to simplify the given polynomial so we can begin with combining like terms.

[tex]2x^2+6x-7x+8-3x^2+1[/tex]

[tex]=2x^2-3x^2+6x-7x+8+1[/tex]

[tex]=(2-3)x^2+(6-7)x+(8+1)[/tex]

[tex]=(-1)x^2+(-1)x+(9)[/tex]

[tex]=-x^2-x+9[/tex]

Hence final answer is [tex]-x^2-x+9[/tex].

Answer:

C

Step-by-step explanation:

A geometric series will only converge if - 1 < r < 1

sum to infinity = [tex]\frac{a}{1-r}[/tex]

The nth term formula for a geometric series is

[tex]a_{n}[/tex] = a[tex]r^{n-1}[/tex]

where a is the first term and r the common ratio

The only summation with - 1 < r < 1 is C where r = - 0.2

Answer:  The correct option is

(C) [tex]\sum_{n=1}^{\infty}4(-0.2)^{n-1}.[/tex]

Step-by-step explanation:  We are give to select the geometric series that converges.

We know that

the general (n-th) term of a common geometric series is given by

[tex]a_n=ar^{n-1}.[/tex]

And the series converges if the modulus of the common ratio is less than 1, .e., |r| < 1.

Now, for the first infinite geometric series, we have

[tex]a_n=\dfrac{2}{3}(-3)^{n-1}.[/tex]

So, the common ratio will be

[tex]r=-3~~~\Rightarrow |r|=3>1.[/tex]

That is, the series will not converge. Option (A) is incorrect.

For the second geometric series, we have

[tex]a_n=5(-1)^{n-1}.[/tex]

So, the common ratio will be

[tex]r=-1~~~\Rightarrow |r|=1.[/tex]

That is, the series will not converge. Option (B) is incorrect.

For the third geometric series, we have

[tex]a_n=4(-0.2)^{n-1}.[/tex]

So, the common ratio will be

[tex]r=-0.2~~~\Rightarrow |r|=0.2<1.[/tex]

That is, the series will CONVERGE. Option (C) is correct.

For the fourth geometric series, we have

[tex]a_n=0.6(-2)^{n-1}.[/tex]

So, the common ratio will be

[tex]r=-2~~~\Rightarrow |r|=2>1.[/tex]

That is, the series will not converge. Option (D) is incorrect.

Thus, (C) is the correct option.

Answer: 26

Step-by-step explanation:

Add all together and the subtract by 12434.7 and you get 26 hope this helps!

Answer:

C

Step-by-step explanation:

First, write 4 ½ in improper form.  2 × 4 + 1 = 9. So the fraction is 9/2.

Now divide:

9/2 ÷ 1/3

To divide by a fraction, multiply by the reciprocal:

9/2 × 3/1

27/2

13 1/2

Answer C.

Answer:

Option D is correct.

Step-by-step explanation:

EMI formula is :

[tex]\frac{p*r*(1+r)^{n} }{(1+r)^{n}-1 }[/tex]

Calculation for convertible car:

p = $28700

r = 6/12/100=0.005

n = [tex]6\times12=72[/tex] months

Putting the values in formula we get

[tex]\frac{28700*0.005(1.005)^{72} }{(1.005)^{72}-1 }[/tex]

= $475.67

Calculation for sports car:

p = 29200

r = 6/12/100=0.005

n = [tex]6\times12=72[/tex] months

Putting the values in formula we get

[tex]\frac{29200*0.005(1.005)^{72} }{(1.005)^{72}-1 }[/tex]

= $483.96

We can see that in both cases the EMI is below $490.

As Chuck can afford a $490-per-month car payment. So, he can afford both cars. (one car out of both)

Therefore, option D is correct. Chuck can afford both the convertible and the sports car​.

Answer:

Step-by-step explanation:

The volume of a cone is

V = (1/3) * pi * r^2 * h

pi = 3.14

r = 3

h = 8

V = 1/3 * 3.14 * 3^2 * 8

V = 1/3 * 3.14 * 9 * 8

V = 75.36

V = 75.4

Answer:

[tex]\frac{27}{4}[/tex]

Step-by-step explanation:

To do this, we must find a common denominator for each of these. This means we must do this

[tex]6*\frac{4}{4} =\frac{24}{4}[/tex]

Next we can add them

[tex]\frac{24}{4} +\frac{3}{4} =\frac{27}{4}[/tex]

Answer:

Step-by-step explanation:

Starting with 6  3/4, we could write 5 + 1 + 3/4, or 5  7/4.

This 5  7/4 is identical to 6  3/4, but the fractional part 7/4 is larger than the fractional part 3/4.

Answer:

not arithmetic

Step-by-step explanation:

An arithmetic sequence has a common difference d between consecutive terms.

Given

[tex]T_{n}[/tex] = 2n² - 1

Substitute in n = 1, 2, 3, 4 to generate the first 4 terms of the sequence

[tex]T_{1}[/tex] = 2(1)² - 1 = 2 - 1 = 1

[tex]T_{2}[/tex] = 2(2)² - 1 = 8 - 1 = 7

[tex]T_{3}[/tex] = 2(3)² - 1 = 18 - 1 = 17

[tex]T_{4}[/tex] = 2(4)² - 1 = 32 - 1 = 31

check the difference between consecutive terms

7 - 1 = 6

17 - 7 = 10

31 - 17 = 14

The differences are not common hence not an arithmetic sequence

Answer: Hm i'm pretty sure that is hunderdths...

Step-by-step explanation:

The place value of 5 in 6.857 is (1/100)th

A digit's numerical value as a result of its position in a number.

1st decimal place - (1/10)th

2nd decimal place - (1/100)th

3rd decimal place - (1/1000)th

In 6.857, 5 is lying at the second decimal position, hence has the place value of (1/100)th .

Learn more about place value on:

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The answer would be....:B.90 ML

The volume of the solution should be given to a cat that weighs 8 lbs. is 9 ml. Thus, the correct option is D.

Unit conversion is a way of converting some common units into another without changing their real value. for, example, 1 centimeter is equal to 10 mm, though the real measurement is still the same the units and numerical values have been changed.

The weight of the cat is 8 lbs. Therefore, the weight of the cat in kg will be,

Weight of cat = 8 lbs = (8×0.454) kgs = 3.632 kgs

Since for one kg, the recommended dose is 5 mg, therefore, the recommended dose for the cat will be,

Recommended dose for cat = 3.632kg × 5 = 18.16 mg

Now, as given that one ml of solution contains 2mg of drugs, therefore,

1 ml = 2mg

1 mg = 1/2 ml

18.16 mg = 18.16 × 1/2 = 9.08ml ≈ 9 ml

Hence, the volume of the solution should be given to a cat that weighs 8 lbs. is 9 ml. Thus, the correct option is D.

Learn more about Units conversion:

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ANSWER

(-1,5)

(7,5)

EXPLANATION

The given set of parametric equations is:

[tex]x = 4t + 3[/tex]

and

[tex]y = 5 {t}^{2} [/tex]

We make t the subject in the first equation to get:

[tex]t = \frac{x - 3}{4} [/tex]

We put this into the second equation to get;

[tex]y =5( \frac{x - 3}{4} )^{2} [/tex]

When x=-1,

[tex]y =5( \frac{ - 1- 3}{4} )^{2} = 5[/tex]

Therefore (-1,5) lies on this line.

When x=7,

[tex]y =5( \frac{7 - 3}{4} )^{2} = 5[/tex]

Therefore (7,5) also lie on this line.

Answer:

38.

Step-by-step explanation:

range is taking the highest number subtracting it by the smallest

Answer:

the answer is 38

Step-by-step explanation:

you subtract the biggest number with smallest number

Answer:

Line x is represented by the function f(x)=3x + 5

Step-by-step explanation:

f(x)=3x+5;   y -intercept = 5

When x = 0, y = 3(0) + 5 = 5

When x = - 2, y = 3(-2) + 5 = -1

So the coordinate points (0,5) and (-2, 1)

Look at the second line (x), it has the y-intercept at 5 and matching those 2 coordinate points above.

So answer is the second line (x)

Hello there! It is the second line, line X.

The equation asks which line is represented by the given equation, f(x)=3x+5. Well, since the equation is in y-intercept form, y = mx + b, we know m is the slope, so the slope is 3, and b is the y intercept, so they intercept is 5.

If any of the lines on the graph intersect at (0,5), or through the y axis at 5, they have a y intercept of 5 and could potentially be the correct answer. There is only one lune that does this, line x, making this the answer.

I hope this was helpful and have a great rest of your day!  

The value of k in the equation f(x) = (9x^2 + 37x + 41) / (3x + 5) with an oblique asymptote at y = 3x + k is k = 41.

To find the value of k in the equation f(x) = (9x^2 + 37x + 41) / (3x + 5), where f(x) has an oblique asymptote at y = 3x + k, we need to determine the relationship between the numerator and denominator as x approaches infinity.

To do this, we can perform polynomial division. Divide the numerator (9x^2 + 37x + 41) by the denominator (3x + 5). The result should give us the oblique asymptote equation y = 3x + k.

Performing polynomial division:

3x + 5 ) 9x^2 + 37x + 41
- (9x^2 + 15x)
----------------------
22x + 41

The result of the division is 22x + 41.

Therefore, the oblique asymptote equation y = 3x + k becomes y = 22x + 41.

Comparing this equation to y = 3x + k, we can see that the value of k is 41.

So, the value of k in the equation f(x) = (9x^2 + 37x + 41) / (3x + 5) with an oblique asymptote at y = 3x + k is k = 41.

Answer:

C. or D. I would say D though.

Step-by-step explanation:

All you have to do is look at the total with both children and adults, then you can take that and divide it by the total of either children or adults and then you would get the answer D.

Answer: B

Step-by-step explanation:

Answer:

Number: 4153

Step-by-step explanation:

4153 - 738 = 3415

as we know the resulting number starts with 3 and is a 4 digit number so we fix 4 in the thousands position of original number. Subsequently we fix 4 in the hundredth position of the number after subtraction from  738

4_ _ 3 - 738 = 34_ _

now we have a 2 empty spaces and 9 number to choose from, start from the lowest .

4 1 0 3 - 738 = 3365 , 4 has to be in the hundredth position

we increment the middle numbers by four and then by 1 until we get our answer

4 1 4 3 - 738 = 3 4 0 5

4 1 5 3 - 738 = 3 4 1 5  --------- Answer