Henry bought 9 3/4 pounds of oranges at the market. If the oranges cost $1.20 per pound, how many did Henry pay for the oranges.

The sum of polynomials involves adding the polynomials

The other polynomial is [tex]y^3 -y^2+ 4y - 1[/tex]

The sum of the polynomials is given as:

[tex]Sum = y^3 + 3y^2 + 4y - 4[/tex]

One of the polynomials is given as:

[tex]P = 4y^2 - 3[/tex]

Represent the other polynomial with Q.

So, we have:

[tex]P +Q =Sum[/tex]

Substitute the expressions for P and Sum

[tex]4y^2 - 3 +Q =y^3 + 3y^2 + 4y - 4[/tex]

Make Q the subject

[tex]Q =y^3 + 3y^2 -4y^2+ 4y - 4 +3[/tex]

Evaluate like terms

[tex]Q =y^3 -y^2+ 4y - 1[/tex]

Hence, the other polynomial is [tex]y^3 -y^2+ 4y - 1[/tex]

Read more about polynomials at:

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The correct option is ''The value of 135 because it is not greater than 136.5 values is outside the 99% confidence interval for the population mean''

A simple random sample of 85 is drawn from a normally distributed population, and the mean is found to be 146, with a standard deviation of 34.

Which of the following values is outside the 99% confidence interval for the population mean?

A simple random sample of 85 is drawn from a normally distributed population, and the mean is found to be 146, with a standard deviation of 34.

Sample space n = 85,

Mean = 146

And standard deviation = 34

Then, The standard error of the sample is,

[tex]= \dfrac{\sigma}{n}\\\\= \dfrac{34}{\sqrt{85}}\\\\= \dfrac{34}{9.21}\\\\= 3.6[/tex]

Then, z-critical value for 99% is 2.58,

Margin of error = ±9.515

Confidence interval for lower bound is,

= 146 - 9.515 = 136.485

And confidence interval upper bound is,

= 146 + 9.515 = 155.515

Here, 135 is less than the lower bound,

Therefore, 135 does not lie within a 99% confidence interval.

For more details about Lower bound refer to the link given below.

https://brainly.com/question/15974739

Answer:

Answer is

the value of 135

Step-by-step explanation:

just in case some of u have different lettered answers your A may be C so i just give the numerical answer lol its easier

Answer:

33.3333%

Step-by-step explanation:

Answer:

12/36=0.333+

it decrease

Answer:

m=4

Step-by-step explanation:

Answer:

The answer would be 4. It may seem like a lot of steps but its a lot easier then you think haha

Step-by-step explanation:

13-5 = 2m + 5 - 5  (Subtract 5 from both sides of the equation)  

8 = 2m (Simplify)

8/2  = 2m/2 ( Divide both sides of the equation by the same term)

m= 4  (Solution)

Answer:

  310°

Step-by-step explanation:

The sum of arcs around a circle is 360°.

  MPN +MN = 360°

  MPN = 360° -MN . . . . . . . . subtract MN

  MPN = 360° -50° = 310° . . . fill in the given value

The measure of major arc MPN is 310°.

Answer:

A

Step-by-step explanation:

BECAUSE ITS EZ

[tex]y = x-5~~....(i)\\\\y =x^2-5x+3~~.....(ii)\\\\\text{Substitute}~ y= x-5 ~\text{in equation (ii):}\\\\x-5 = x^2 -5x +3\\\\\implies x^2 -5x -x +3 +5 =0\\\\\implies x^2 - 6x + 8 =0\\\\\implies x^2 --4x -2x +8 =0\\\\\implies x(x-4) -2(x-4) =0\\\\\implies (x-4)(x-2)= 0\\\\\implies x =4~~ \text{or}~~ x = 2\\\\\text{Substitute x = 4 in equation (i):} \\\\y = 4-5 = -1\\\\\text{Substitute x = 2 in equation (i):} \\\\y = 2-5 = -3\\\\\text{Hence,}~ (x,y) = (4,-1)~ \text{and}~ (x,y) = (2,-3)}[/tex]

Answer: A.

Step-by-step explanation:

This is the only option in which the terms are ordered from least to greatest.

Therefore, A is the correct answer.

Answer:

y = -2x + 30

Step-by-step explanation:

Firstly, choose 2 coordinates ( I chose [1,28] and [2,,26] ) next use y2-y1/x2-x1 to find your slope, in this case it is -2. Next, take two points and plug them into your equation with your slope to find your b, for this case the b is 30. Put it all together and you get y = -2x + 30

Brainliest would be appreciated. :-)

Saved:-

[tex]\\ \sf\Rrightarrow 2\dfrac{1}{4}-\dfrac{3}{8}[/tex]

[tex]\\ \sf\Rrightarrow \dfrac{9}{4}-\dfrac{3}{8}[/tex]

[tex]\\ \sf\Rrightarrow \dfrac{18-3}{8}[/tex]

[tex]\\ \sf\Rrightarrow \dfrac{15}{8}[/tex]

[tex]\\ \sf\Rrightarrow 1\dfrac{7}{8}[/tex]

Answer:

[tex]\textsf{D)} \quad 1 \dfrac{7}{8}[/tex]

Step-by-step explanation:

Subtract the used volume of punch from the starting volume of punch.

Convert the mixed number to an improper fraction:

[tex]\begin{aligned} \implies 2\frac{1}{4}-\frac{3}{8} & = \dfrac{2 \times 4+1}{4}-\dfrac{3}{8}\\\\ & = \dfrac{9}{4}-\dfrac{3}{8}\end{aligned}[/tex]

Make the denominators of both fractions the same by multiplying the numerator and the denominator of 9/4 by 2:

[tex]\implies \dfrac{9 \times 2}{4 \times 2}-\dfrac{3}{8} = \dfrac{18}{8}-\dfrac{3}{8}[/tex]

[tex]\textsf{Apply the fraction rule} \quad \dfrac{a}{c}-\dfrac{b}{c}=\dfrac{a-b}{c}:[/tex]

[tex]\begin{aligned} \implies \dfrac{18}{8}-\dfrac{3}{8} & = \dfrac{18-3}{8}\\\\ & = \dfrac{15}{8}\end{aligned}[/tex]

Convert back into a mixed number:

[tex]\begin{aligned}\implies \dfrac{15}{8} & = \dfrac{8+7}{8}\\\\ & = \dfrac{8}{8}+\dfrac{7}{8}\\\\ & = 1\dfrac{7}{8}\end{aligned}[/tex]

Answer:

the second

Step-by-step explanation:

Answer:

0.9 + n = 5.2

Step-by-step explanation:

Answer:

30 degree

Step-by-step explanation:

sum of the interior angles of a hexagon=720degree

one angle of the hexagon=720/6=120degree

one angle of the rhombus=90 degree

therefore, x=120-90=30

Answer:

The temperature of the liquid 15 minutes later is [tex]151.5[/tex]

Step-by-step explanation:

This is an example of arithmetic progression

We need to find 15 th term

Here

[tex]a=200.5\\\\d=-3.5\\\\t_{15}=200.5+(15-1)\times-3.5\\\\=151.5[/tex]

Answer: x = 1

Step-by-step explanation:

Answer:

  5π, about 15.708 units

Step-by-step explanation:

A 3-4-5 triangle is a right triangle. When a circle circumscribes a right triangle, the hypotenuse is the diameter of the circle. The circumference of a circle is given by ...

  C = πd

For a diameter of 5 units, the circumference is ...

  C = π(5) = 5π = 15.708 . . . units

_____

Additional comment

The (3, 4, 5) triple is one of the first Pythagorean triples you run across. It is the smallest integer triple, and the only primitive triple with values in an arithmetic sequence. You can show this is a Pythagorean triple by ...

 3² + 4² = 9 +16 = 25 = 5²

That is, these numbers satisfy the Pythagorean theorem relation for sides of a right triangle.

Answer:

There is 11 fish in each fish tank

Step-by-step explanation:

242 total fish

divided into 22 fish tanks

242÷22=11

Draw 11 fish in each of the 22 fish tanks

Answer:

since m=7 and v=32

p= 7• 32

p= 224

Step-by-step explanation:

that means he gets 25% of the sales.

he sold 235 dozen roses for $15.50 per dozen.

so, the total sales was

235 × 15.5 = $3,642.50

100% = $3,642.50

25% = 100%/4 = $3,642.50/4 = $910.63 (rounded to cents)

Answer:

X = 7

Explanation

2x-6=8

2x=6+8

2x=14

2x/2 = 14/2

x = 7

Answer:

x=4.225

Step-by-step explanation:

You can use your trigonometric ratios to help you solve this problem. We have the hypotenuse and the angle that the triangle makes with the adjacent side. X is the adjacent side of this problem, therefore we need to take the cosine of this angle (remember SOHCATOA, Sine: Opposite/Hyp, Cosine: Adjacent/Hyp, and Tan: Opp/Adj) using this, we can model an equation where Cos(62)=(x/9), in order to solve for x, simply multiply both sides by 9 to get a final answer of 4.225...

Answer:

#5 -1.75, 2.5, -0.2

#6 3 1/2, 2 1/4, -1/2

Step-by-step explanation:

Well when the opposite they mean if the number is positive it becomes negative, and if is negative it becomes positive. very simple happy to help :)

[tex]x^2+12x+35\\\\=x^2 +5x +7x +35\\\\=x(x+5) +7(x+5)\\\\=(x+7)(x+5)\\\\\\3x+15 = 3(x+5)[/tex]

Answer:

2nd option

Step-by-step explanation:

The ratios on both sides must be equal

[tex]\frac{15}{6}[/tex] ( divide numerator/ denominator by 3 )

= [tex]\frac{5}{2}[/tex] ≠ [tex]\frac{3}{2}[/tex] , then not a proportion

[tex]\frac{4}{5}[/tex] ( multiply numerator/ denominator by 3 )

= [tex]\frac{12}{15}[/tex] , this is a proportion

[tex]\frac{9}{21}[/tex] ( divide numerator/ denominator by 3 )

= [tex]\frac{3}{7}[/tex] ≠ [tex]\frac{6}{7}[/tex] , then not a proportion

[tex]\frac{10}{16}[/tex] ( divide numerator/ denominator by 2 )

= [tex]\frac{5}{8}[/tex] ≠ [tex]\frac{2}{8}[/tex] , then not a proportion

Answer:

1. 18/8

2. 16/20

3. 15/28

4. 12/24

Answer:

Graph attached

Step-by-step explanation:

Answer:

[tex]x<-4[/tex]

Step-by-step explanation:

[tex]8x-4<-36\\\Add\:}4\mathrm{\:to\:both\:sides}\\8x-4+4<-36+4\\\mathrm{Simplify}\\8x<-32\\\mathrm{Divide\:both\:sides\:by\:}8\\\frac{8x}{8}<\frac{-32}{8}\\Simplify\\\frac{8x}{8}<\frac{-32}{8}\\Simplify\\\frac{8x}{x}:x\\\mathrm{Divide\:the\:numbers:}\:\frac{8}{8}=1\\=x\\Simplify\\\frac{-32}{8} \\[/tex]

Apply the fraction rule

[tex]=-\frac{32}{8}\\Divide\\ \frac{32}{8} = x=-4\\x<-4[/tex]

Answer:

no they are different numbers, however their signs are inverted

Step-by-step explanation:

Answer:

no

Step-by-step explanation:

-2x+3 is not the same as 2x-3 because, let's say we set each equation equal to something...

-2x+3 = 10                   2x-3 = 10

     -3     -3                      +3    +3

------------------              -----------------

-2x = 7                        2x = 13

x = [tex]\frac{7}{2}[/tex]                               x = [tex]\frac{13}{2}[/tex]

x = 3.5                           x = 6.5

As we can see, these equations are not the same, because, when we set them equal to the same value, the answers are different.

Hope this helps! :D

Answer:

  20%

Step-by-step explanation:

The percentage change is the difference divided by the original amount, expressed as a percentage.

  (30 -25)/25 × 100% = 20%

Production increased by 20%.

Answer:

  C)  x^5/2 +6x^3/2 +1

Step-by-step explanation:

The relevant rule of exponents is ...

  a^b/a^c = a^(b-c)

__

  [tex]\dfrac{x^3+6x^2+x^{1/2}}{x^{1/2}}=x^{3-1/2}+6x^{2-1/2}+x^{1/2-1/2}=\boxed{x^{5/2}+6x^{3/2}+1}[/tex]

Answer:

This is essentially a rule in the unit of radicals, where n✔️X^m = X^m/n. If the value of m is equal to n, as in 2✔️3^2 it would simply be 3^2/2 which is nothing but 3^1 = 3. Basically, the m value can be greater than n and or less than n, but if it is equal the m and n values cancel out. Hope this helped <3