−7x−9 from -4x^2+3x-5−4x
2
+3x−5.

Answer:

Sales Tax

Step-by-step explanation:

Answer: about 78 mL

Step-by-step explanation:

When you see the liquid in a curved shape, you want to look at the very bottom of the curve. The bottom shows that our answer will be in the 70 mL, but close to 80. If you look at the lines in between, we can see that there are 5 lines, meaning each line represents 2 mL. Now, we count up and reach 78 mL.

Answer:

8:5

Step-by-step explanation:

I'm honestly not sure how to explain this because it's just a ratio, but good luck!

Answer:

The smaller addend is subtracted from the bigger addend

Step-by-step explanation:

Represent the two numbers with a and b such that a > b

So, the mathematical representation will be

[tex]+a + (-b)[/tex]

Open the bracket

[tex]+a -b[/tex]

This implies that the smaller addend (b) is subtracted from the bigger addend (b)

Take for instance; a = 6 and b = 4

This gives

[tex]+6 + (-4)[/tex]

Open the bracket

[tex]= +6 - 4[/tex]

[tex]= 2[/tex]

Answer:

512 cm^3

Step-by-step explanation:

The side length is 8 cm

V = s^3 where s is the side length

V = 8^3

   =512 cm^3

Answer: 512 cm³

Explanation: Since the length, width, and height of a cube are all equal,

we can find the volume of a cube by multiplying side × side × side.

So we can find the volume of a cube using the formula v = s³.

In the cube in this problem, we have a side length of 8 cm.

So plugging into the formula, we have (8 cm)³

or (8 cm)(8 cm)(8 cm), which is 512 cm³.

So the volume of the cube is 512 cm³.

Answer:

a.) because one month isn't very long

Step-by-step explanation:

Answer:

0.0189

Step-by-step explanation:

We solve for this using Newton's Law of cooling.

The formula for Newton's Law of cooling =

T −Ts = (To−Ts)e^-kt

T = Temperature after cooling

To = Initial temperature

Ts = Room temperature

k = constant

t = time = 2 mins

(200 - 70) = (205 - 70)e^-2k

130 = 135e^-2t

e^-2k= 130/135

k = In(130/135)/-2

k = 0.018870164

Approximately to 4 decimal places = 0.0189

Therefore, the value of k = 0.0189

Answer:

1: 1/2

2: 1

3: Assuming 2 medium triangles = 1 large triangle, then 2

Step-by-step explanation:

1: 2 small triangle makes 1 square. So, if we divide the area of the square (1 square unit) by 2 because 2 small triangles make 1 square, we get 1/2.

2: 2 small triangles makes 1 medium triangle, so using the above logic, 1/2 X 2 = 1.

3: Assuming 2 medium triangles = 1 large triangle, then the same thing applies. medium * 2 = 2

Answer:

Inequality

Step-by-step explanation:

Answer and Step-by-step explanation:

p= probability of straight stitching = 89.4% = 89.4/100= 0.894

n = the total sample of randomly selected baseballs

x = quantity of baseballs that have straight stitching = 5

x follows a binomial distribution

p(X=x) = nCx * p^x(1-p)^n-x

= 7C5 * 0.894⁵ * (1-0.894)⁷⁻⁵

= 21 * 0.571 * 0.011236

= 0.1347

= 13.47%

the probability is only 13.47% therefore the company has to stop the production line

Answer:

a. 24

b. 12

Step-by-step explanation:

a. You can choose from 4 cities for the first performance, then from 3 cities, then from 2 cities, then the last city.

4 * 3 * 2 * 1 = 24

b. Think of the three performances in California as a unit. Within this unit, you can choose from 3 cities for the first one, then 2 cities for the second one, and finally 1 city for the last one.

3 * 2 * 1 = 6

Now you can have the 3 California performances first, followed by Denver, or Denver first followed by California.

6 * 2 = 12

Hello, if [tex]x_1[/tex] and [tex]x_2[/tex] are two zeroes, we can write

[tex]x^2-17x+30=(x-x_1)(x-x_2)=x^2-(x_1+x_2)x+x_1\cdot x_2[/tex]

It means that the coefficients in x must be equal, meaning

[tex]x_1+x_2=17=2+15[/tex]

and the constant terms must be equal, meaning

[tex]x_1\cdot x_2=30 = 2 * 15[/tex]

So the zeroes are 2 and 15.

[tex]x^2-17x+30=x^2-15x-2x+30\\\\=x(x-15)-2(x-15)\\\\\boxed{=(x-2)(x-15)}[/tex]

Thank you

Answer:

1). Option (H)

2). Option (C)

3). Option (C)

4). Option (G)

5). Option (E)

Step-by-step explanation:

(1). Integers are the ''whole numbers''.

  Therefore, negative integer will be a whole number with negative notation =(-8).

  Option (H) will be the answer.

(2). "Numbers that can not be written as a fraction are irrational numbers"

   Option (C). √7

(3). "Whole numbers are the basic counting numbers starting from 0"

  Option (C). 0

(4). A rational number is a number that can be written as a fraction(in the form of [tex]\frac{p}{q}[/tex].

  Option (G). [tex]\frac{3}{4}[/tex]

(5). "All positive integers are the natural numbers."

  Option (E). 12

Answer:

y=1/2x+0 m=1/2 b=0

Step-by-step explanation:

You first need to find the slope of this line, the equation for this is.

(y2-y1)/(x2-x1)

In this case it is (3-1)/6-2)

This simplifies to 1/2.

This graph also does not have a +b as when you graph y=1/2x, it already passes through the 2 points shown.

Answer:

0.003

Step-by-step explanation:

P-value = The value of probability.

P value can be defined are the probability of a given test statistic ( which could be z score, t score, f score) that is can be less than, equal to or greater than a given null hypothesis.

In the above question, the test statistic we are given = z score.

z score = -2.73

To find the P- value, we can make use of a z table for normal distribution.

Hence, P(z = -2.73) = 0.0031667

Approximately to the nearest thousandth = 0.003

Step-by-step explanation:

[tex] {7}^{1} = 7 \times 1 \\ = 7[/tex]

Answer:

C. No, more than one output value x is assigned to the input y-value

Step-by-step explanation:

Given

х      у

-3    -2

3     6

0      7

1       7

2      4

3     - 1

Required

State if the table shows x as a function of y

x being a function of y means

[tex]x = f(y)[/tex]

i.e. x represents the output while y represents the input of the function

Note that each value of y (input) must be assigned to separate values of x (output) for a function to be established

Having said;

Next step: We have to examine the x and y column

In the y column, the value 7 occurred twice (as shown below)

х      у

0      7

1       7

This implies that;

Input 7 gives output of 0 and 1.

Hence, this is not a function.

Option C answers the question.

Answer:

the confidence interval is 1.2282 and 0.269

Step-by-step explanation:

n = 7

the mean of the sample =

0.59+0.68+0.10+0.98+1.37+0.55+0.97/7

= 5.25/7

= 0.74857= 0.7486

the standard dev!aton of the sample

= √(0.59-0.7486)²+(0.68-0.7486)²+(0.1-0.7486)²+(0.98-0.7486)²+(1.37-0.7486)²+(0.55-0.7486)²+(0.97-0.7486)²/n-1

= √0.02515+0.0047+0.4206+0.0535+0.3861+0.03944+0.0490/6

= √0.9786/6

= √0.163083

= 0.4038

degree of freedom = 7-1= 6

crtcal value at 2% significance and df of 6 = 3.143

confidence interval =

0.7486±3.143(0.4038/√7)

= 0.7486±3.143(0.1526)

0.7486+0.4796 = 1.2282

0.7486-0.4795 = 0.269

=

Answer:

A. [tex]\frac{82}{3}[/tex]

Step-by-step explanation:

Step 1: We know .3333... is [tex]\frac{1}{3}[/tex], we rewrite the equation as  [tex]\frac{1}{3}[/tex]

[tex]27\frac{1}{3}\\ \frac{1+(27)(3)}{3}\\\frac{1+81}{3}\\\frac{82}{3}\\[/tex]

Therefore the answer would be A. [tex]\frac{82}{3}[/tex]

Answer:

A. 82/3

Step-by-step explanation:

[tex]3\overline{|\smallspace82}\space\space\space\space\\\mathrm{Divide}\:8\:\mathrm{by}\:3\:\mathrm{to\:get}\:2\\\begin{matrix}\space\space\space\space\emptyspace2\space\space\space\space\space\space\space\space\space\space\space\space\space\space\\ 3\overline{|\smallspace82}\space\space\space\space\space\space\space\space\space\space\space\space\end{matrix}\\[/tex]

[tex]\begin{matrix}\space\space\space\space\emptyspace2\space\space\space\space\space\space\space\space\space\space\space\space\space\space\\ 3\overline{|\smallspace82}\space\space\space\space\space\space\space\space\space\space\space\space\\ \space\space\space\space\underline{\emptyspace6}\space\space\space\space\space\space\space\space\space\space\space\space\space\space\end{matrix}\\\mathrm{Multiply\:the\:quotient\:digit}\:\left(2\right)\:\mathrm{by\:the\:divisor}\:3\\[/tex]

[tex]\begin{matrix}\space\space\space\space\emptyspace2\space\space\space\space\space\space\space\space\space\space\space\space\space\space\\ 3\overline{|\smallspace82}\space\space\space\space\space\space\space\space\space\space\space\space\\ \space\space\space\space\underline{\emptyspace6}\space\space\space\space\space\space\space\space\space\space\space\space\space\space\end{matrix}\\\mathrm{Subtract}\:6\:\mathrm{from}\:8\\[/tex]

[tex]\begin{matrix}\space\space\space\space\emptyspace2\space\space\space\space\space\space\space\space\space\space\space\space\space\space\\ 3\overline{|\smallspace82}\space\space\space\space\space\space\space\space\space\space\space\space\\ \space\space\space\space\underline{\emptyspace6}\space\space\space\space\space\space\space\space\space\space\space\space\space\space\\ \space\space\space\space\emptyspace2\space\space\space\space\space\space\space\space\space\space\space\space\space\space\end{matrix}\\[/tex]

[tex]\mathrm{Bring\:down\:the\:next\:number\:of\:the\:dividend}\\[/tex]

[tex]\begin{matrix}\space\space\space\space\emptyspace2\space\space\space\space\space\space\space\space\space\space\space\space\space\space\\ 3\overline{|\smallspace82}\space\space\space\space\space\space\space\space\space\space\space\space\\ \space\space\space\space\underline{\emptyspace6}\space\space\space\space\space\space\space\space\space\space\space\space\space\space\\ \space\space\space\space\emptyspace2\emptyspace2\space\space\space\space\space\space\space\space\space\space\space\space\end{matrix}[/tex]

Divide 22 by 3 to get 7

[tex]\begin{matrix}\space\space\space\space\emptyspace2\emptyspace7\space\space\space\space\space\space\space\space\space\space\space\space\\ 3\overline{|\smallspace82}\space\space\space\space\space\space\space\space\space\space\space\space\\ \space\space\space\space\underline{\emptyspace6}\space\space\space\space\space\space\space\space\space\space\space\space\space\space\\ \space\space\space\space\emptyspace2\emptyspace2\space\space\space\space\space\space\space\space\space\space\space\space\end{matrix}[/tex]

Multiply  the quotient digit 7 by the divisor

and sbtract 21 from 22=1

= 27 remainder 1

Answer:

the length of TU is 6......

The numeric length of TU for the given line segment will be 3 units.

A line section that can connect two places is referred to as a segment.

In other words, a line segment is just part of a big line that is straight and going unlimited in both directions.

The line is here! It extends endlessly in both directions and has no beginning or conclusion.

Given a line segment SU in between a point T

Now,

SU = ST + TU

5x = 4x - 3 + 2x

5x = 6x - 3

6x - 5x = 3

x = 3

Now,

TU = 2x = 2(3) = 6 units.

Hence "The numeric length of TU for the given line segment will be 3 units".

For more about line segment,

https://brainly.com/question/25727583

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Answer:

14+22i

Step-by-step explanation:

We multiply and simplify (3-5i)(-2+4i)​ to get:

14 + 22i

A complex number is a number of the form a + bi, where a and b are real numbers, and i is an imaginary unit satisfying i² = -1. For example, 2 + 3i is a complex number.

Complex numbers can be multiplied using the following rules:

(a + bi)(c + di) = (ac - bd) + (ad + bc)i

Thus, the two complex numbers can be multiplied and simplified as follow:

(3-5i)(-2+4i)​ = 3(-2+4i)​ -5i(-2+4i)​

                    = 3(-2) + 3(4i) -5i(-2) -5i(4i)

                    = -6 + 12i + 10i -20i²

                   = -6 + 22i + 20    (Note: i² = -1)

                   = -6 + 20 + 22i

                   = 14 + 22i

Learn more about complex numbers on:

brainly.com/question/5564133

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Answer:

Step-by-step explanation:

To have Distance proportional to time, the person or object must keep a steady or constant rate like speed.

Let's first look at A runner sprinting in the 100 meter dash, since it tells you nothing about time it goes to not enough information.

Now look at An airplane starting at the end of the runway and taking off, it tells you nothing about time so, not enough information.

Now on to A marathon runner jogging at a constant speed for 45 minutes, this is distance proportional to time, because the runner has a constant rate.

The graph is distance proportional to time because, a straight slanted line indicates a constant speed. If it were curved it would not be constant.

The table with the number is distance not proportional to time because if you find the slopes of (25-5)/(10-5) and (50-25)/(15-10), they are 4 and 5 respectively which means there will not be a straight line on the graph.

Lastly, an airplane traveling at a constant speed across the country is distance directly proportional to time because it has a constant rate which is speed.

4 minutes to walk there, 5 minutes to walk back, 4+5 = 9 minutes total walking time. Add this onto the 1 minute to get the copier set up and we have 9+1 = 10 minutes so far.

The copier can print 38 pages per minute. There are 836 copies, so 836/38 = 22 minutes is needed to print out all the pages.

So we have 22+10 = 32 minutes in total so far. Add on the last 5 minute stretch (going from the math department to your 2PM class) to get to 37 minutes. You'll need 37 minutes total.

You didn't provide a starting time, but we can subtract 37 minutes from 2PM to get

02:00 - 00:37 = 01:23

Meaning that if you left the math department at 1:37 PM, then you'd do all those tasks to get to your next class at 2 PM exactly, assuming no other things happen. So it's best to leave before 1:37 PM

Answer:

[tex]P(a\ or\ b) = 0.65[/tex]

Step-by-step explanation:

Given

P(a) = 0.60

P(b) = 0.20

P(a and b) = 0.15

Required

Determine P(a or b)

In probability;

[tex]P(a\ and\ b) = P(a) + P(b) - P(a\ or\ b)[/tex]

Substitute values for P(a and b), P(a) and P(b)

[tex]0.15 = 0.60 + 0.20 - P(a\ or\ b)[/tex]

Collect Like Terms

[tex]P(a\ or\ b) = 0.60 + 0.20 - 0.15[/tex]

[tex]P(a\ or\ b) = 0.65[/tex]

Hence, option B answers the question

Answer

0.65

Step-by-step explanation:

apeeex

Answer:

D) set the width of the compass to equal AP

Step-by-step explanation:

Correct answer option is D)

Answer options:

Answer:

Step-by-step explanation:

[tex] \sf{ - 5x - 10 = 2 - 2(x - 4)}[/tex]

Distribute 2 through the parentheses

⇒[tex] \sf{ - 5x - 10 = 2 - 2x + 8}[/tex]

Move constant to right hand side and change it's sign

Similarly , Move variable to left hand side and change it's sign

⇒[tex] \sf{ - 5x + 2x = 2 + 8 + 10}[/tex]

Collect like terms

⇒[tex] \sf{ - 3x = 2 + 8 + 10}[/tex]

Add the numbers

⇒[tex] \sf{ - 3x = 20}[/tex]

Divide both sides of the equation by -3

⇒[tex] \sf{ \frac{ - 3x}{ - 3} = \frac{20}{ - 3} }[/tex]

Calculate

⇒[tex] \sf{x = - 6.67}[/tex]

Hope I helped !

best regards!!

Answer:

A) 1000 different selections

B) probability of winning = 0.001

C) Net profit on winning = $257.20

D) E(y) = -0. 89165

E) Option B - The Pick 4 game is a better bet because it has a larger expected value.

Step-by-step explanation:

A) For the different selections possible, since each of the digits from 0 - 9 can take a total of 10 digits, then the different selections possible will be = 10³ = 1000 different selections

B) To find the probability of winning, since only one pick can be a winning one. Thus probability of winning = 1/1000 = 0.001

C) Net profit on winning = Amount won - Amount staked

Amount won = ​$258.35

Amount staked = ​$1.15

Thus;

Net profit on winning = ​$258.35 - ​$1.15

Net profit on winning = $257.20

D) If we call the net profit "y", then Expected value is:

E(y) = 257.2(0.001) - 1.15(1 - 0.001)

E(y) = 0.2572 - 1.14885

E(y) = -0. 89165

E) We are told that:If you bet $ 1.15 in a certain​ state's Pick 4​ game, the expected value is negative −$0.89

The expected value of -0.89 in pick 4 is better than that in pick 3 because it's larger.

Answer:

Step-by-step explanation:

Since it's a cube all it's sides are equal

Volume of a cube = l³

where

l is the length of one side

From the question

Volume = 4913 ft³

Substitute the value into the above formula and solve for the length

That's

[tex] {l}^{3} = 4913[/tex]

Find the cube root of both sides

We have

[tex] \sqrt[3]{ {l}^{3} } = \sqrt[3]{4913} [/tex]

We have the final answer as

Hope this helps you

Answer:

17 because 17 x 17 x 17 =4913

Step-by-step explanation:

Answer:

x = -5/9

Step-by-step explanation:

Order of Operations: BPEMDAS

Step 1: Write out equation

2(3 - x) = 16(x + 1)

Step 2: Distribute

6 - 2x = 16x + 16

Step 3: Add 2x on both sides

6 = 18x + 16

Step 4: Subtract 16 on both sides

-10 = 18x

Step 5: Divide both sides by 18

-10/18 = x

Step 6: Simplify

-5/9 = x

Step 7: Rewrite

x = -5/9

Answer:

A

Step-by-step explanation:

Image A shows a rotation.  B is a translation.  C is a reflection.