Use the functions a(x) = 3x + 10 and b(x) = 5x − 6 to complete the function operations listed below.

Part A: Find (a + b). Show your work.

Part B: Find (a - b). Show your work.

Part C: Find (a * b). Show your work.

Answer:

In mathematics, the notion of permutation relates to the act of arranging all the members of a set into some sequence or order, or if the set is already ordered, rearranging (reordering) its elements, a process called permuting. These differ from combinations, which are selections of some members of a set where order is disregarded.

Step-by-step explanation:

Answer: it’s 506

Step-by-step explanation:

The number of cannonballs in the stack exists at 650. Since the stack is in the formation of the square pyramid the total number of balls can be acquired by utilizing the formula for discovering the total number of spheres in the square pyramid.

Find the number of cannonballs in the stack:

Given that the pyramid stands a square pyramid and the numeral of balls that form the side of the square exists 12.

By utilizing the formula of a square pyramid,

n(n+1)(2n+1)/6

12(12+1)(2(12)+1)/6

12(13)(25)/6

2*13*25

=650

Therefore the number of cannonballs in the stack exists at 650.

To know more about sum of squares refer to:

https://brainly.com/question/12483895

#SPJ2

Answer:

(a + c, b)

Step-by-step explanation:

First the easy part... the Y-value.

There's an horizontal line where the P is... that line has a point identified (a,b).  So, the Y-value of P is b.

Now the X-value.  

You see that P is a bit right to c, so it's something more than c, but how much?  If you look, P is as right to C as a is to the origin.  Since we know it's a parallelogram, the line that goes from origin to (a,b) is parallel to the one going from C to P.

So the X-value of point P is: c + a

Answer:

its A

Step-by-step explanation:

F is the midpoint of AA' because E.G. bisects AA'.

Answer: Option A

A. 0.98

Step-by-step explanation:

Plan A consists of:

Plan A: treat with antibiotics 1. If not effective, treat with antibiotics 2

Antibiotic 1 has a probability P (1) of 0.8 to be effective

Antibiotic 2 has a probability P (2) of 0.9 to be effective.

For a patient to be treated successfully with plan A it can happen that:

The antibiotic 1 works, or that the antibiotic 1 does not work but the 2 antibiotic if it works.

So the probability that plan A works is:

[tex]P = P (1) + P (not\ 1) P (2)\\\\P = 0.8 + (1-0.8) (0.9)\\\\P = 0.8 + 0.2 * 0.9\\\\P = 0.98[/tex]

The probability of a patient being successfully treated under plan A, which involves treatment with antibiotic 1 and then antibiotic 2 if the first fails, is 0.98, or 98%.

The probability that a patient treated under plan A will be successfully treated is calculated by summing the probabilities of success in each step. Initially, the patient is treated with antibiotic 1 which has an 80% success rate. If this fails (which will happen 20% of the time), then the patient is treated with antibiotic 2 which has a 90% success rate. This 90% will only occur, though, for the remaining 20% of patients who failed the initial treatment. Thus, we calculate this like so: Probability(successful treatment under plan A) = (successful treatment with antibiotic 1) + ((failed treatment with antibiotic 1)*(successful treatment with antibiotic 2)) = 0.8 + (0.2*0.9) = 0.98. Therefore, the probability of successful treatment under plan A equals 98% or 0.98, which corresponds to Choice A.

https://brainly.com/question/32117953

#SPJ3

Answer:

x=0.27

Step-by-step explanation:

The given expression is

[tex]e^{\frac{1}{4}x}=|4x|[/tex]

To solve this equation, we graph the functions:

[tex]f(x)=e^{\frac{1}{4}x}[/tex]

and

[tex]g(x)=|4x|[/tex]

From the graph, the two curves intersects at x=-0.24 and x=0.27.

But the domain of the logarithmic function is x>0

Therefore x=0.27

-0.25 and 0.25.

That is already estimated.

Answer:

see explanation

Step-by-step explanation:

c = a - 2b

  = < 4, 5, 6 > - 2 < 1, 2, 3 > ← multiply each component by 2

  = < 4, 5, 6 > - < 2, 4, 6 >  ← subtract corresponding components

  = < 4 - 2, 5 - 4, 6 - 6 > = < 2, 1, 0 >

| c | = [tex]\sqrt{2^2+1^2+0^2}[/tex] = [tex]\sqrt{4+1+0}[/tex] = [tex]\sqrt{5}[/tex]

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

sum the product of corresponding components

u.v = (3 × 2) + (- 2 × - 1) + (4 × - 6) = 6 + 2 - 24 = - 16

Answer:

Each CD would be $10.99

Step-by-step explanation:

$48.96-5.00=43.96

43.96/4= 10.99

Answer:

The answer is $12.24 each CD. I just did this for my assessment. Looks like we are in the same online school program :D

Step-by-step explanation:

$48.96/4 = $12.24

you can check your answer by doing

$12.24 x 4

Answer:

B)5/3

Step-by-step explanation:

"3x + 5y = 15."

Rewrite in slope-intercept form.

The slope-intercept form is  

y=mx+b

where  m is the slope and  b  is the y-intercept.

y=mx+b

Subtract  3x  from both sides of the equation.

5y=15−3x

Divide each term by  "5"  and simplify.

5y/5=15/5−3x/5

"5" and "5" cancel each other out

Divide  15  by  5

y=3-3x/5

Reorder  3  and  −3x/5

y=-3x/5+3

Rewrite in slope-intercept form.

y=−3/5x+3

Slope:-3/5

The equation of a perpendicular line to  y=−3x/5+3  must have a slope that is the negative reciprocal of the original slope.

mperpendicular=−1/(−3/5)

Simplify the result.

mperpendicular=5/3

hope this helps!

To find the slope of a line perpendicular to the line 3x + 5y = 15, you first find the slope of the given line, which is -3/5 after rearranging to slope-intercept form. The slope of the perpendicular line is then the negative reciprocal of -3/5, which is 5/3.

To find the slope of a line perpendicular to the given line 3x + 5y = 15, we first need to find the slope of this given line. For this we rearrange the equation into y=mx+b (slope-intercept) form. The given equation can be rewritten as y = -3/5x + 3. Therefore, the slope of this line (m) is -3/5.

The slope of a line perpendicular to the original line is the negative reciprocal of the slope of the original line. Therefore the slope of a line perpendicular to 3x + 5y = 15 is the negative reciprocal of -3/5, which is 5/3. So, the correct answer is B. 5/3.

https://brainly.com/question/34849567

#SPJ2

AYZ is a right triangle (we're given that YA is perpendicular to XZ). So, we can use the pythagorean theorem to find the missing side:

[tex]YA^2+AZ^2=YZ^2[/tex]

But we're also given [tex]YZ = 2AZ[/tex], so we have

[tex]YA^2+AZ^2=(2AZ)^2=4AZ^2[/tex]

Since AZ is half of YZ, which is 10, we deduce AZ=5.

Solving for YA, we have

[tex]YA^2+AZ^2=4AZ^2 \iff YA^2 = 3AZ^2 \iff YA = AZ\sqrt{3} = 5\sqrt{3}[/tex]

The probability of picking a 7 and then picking a number greater than 7 is [tex]\dfrac{1}{3}[/tex]  or  [tex]0.\overline{3}[/tex].

Probability shows us the chances of an event occurring.

[tex]\bold{Probability =\dfrac{Desired\ Outcome}{Total\ number\ of\ outcomes\ possible}}[/tex]

Now, given that we have already picked three cards. therefore, 7, 8, and 9.

The number of possible outcomes is 3.

[tex]\bold{Probability(7) =\dfrac{Number\ 7(1)}{Total\ number\ of\ outcomes\ possible (3)}= \dfrac{1}{3}}[/tex]

Now, as card seven is already picked up cards 8 and 9 are the only card left.

therefore, the sample size(possible outcomes) was reduced to 2 only.

Also, cards 8 and 9 both are greater than 7, thus the desired outcome is also 2.

Further the probability of the number greater than 7 occurring,

[tex]\bold{Probability(n>7) =\dfrac{cards\ 8\ and\ 9(2)}{Total\ number\ of\ outcomes\ possible (2)}= \dfrac{2}{2} = 1}[/tex]

The probability of picking a 7 and then picking a number greater than 7

= Probability of card 7 occuring x probability of card 8 and 9 occurring

[tex]=\dfrac{1}{3}\times 1[/tex]

[tex]=\dfrac{1}{3}[/tex]

Hence, the probability of picking a 7 and then picking a number greater than 7 is  [tex]\dfrac{1}{3}[/tex]  or  [tex]0.\overline{3}[/tex].

Learn more about Probability:

https://brainly.com/question/795909

E ) a three-dimensional box-shaped figure, with six identical square faces

Answer:

Option A.

Step-by-step explanation:

Box for a deck of cards will be in the shape of rectangular prism.

A rectangular prism has two parallel rectangular bases, 2 sides parallel to each other along width and 2 similar parallel rectangular sides along the height.

Therefore, option A. "a three dimensional shape with two similar, parallel rectangular bases and sides that are parallelogram" will be the correct option.

Answer:

C

Step-by-step explanation:

Number on top: largest value of k

On the right: the expression for k

Bottom: the first number for k

So,

1. 2³ = 8, but k can not be 3, so it can't be A or B.

2. 8 ÷ 2 = k, which means that the first k should be 4.

So, the answer is C.

Answer:

C

Step-by-step explanation:

[tex]\bf (\stackrel{x_1}{10}~,~\stackrel{y_1}{-5})\qquad (\stackrel{x_2}{-10}~,~\stackrel{y_2}{-1}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{-1-(-5)}{-10-10}\implies \cfrac{-1+5}{-20}\implies \cfrac{4}{-20}\implies -\cfrac{1}{5} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-(-5)=-\cfrac{1}{5}(x-10) \\\\\\ y+5=-\cfrac{1}{5}x+2\implies y=-\cfrac{1}{5}x-3[/tex]

all together there are 23

there are 23 states

Answer:

D. 5/6

Step-by-step explanation:

If there is 6 numbers (6 possible outcomes) and your roll is not a four, there is 5 other numbers you could get so its 5/6.

Hope this helps!

yes, if you do 94/9 you get about 10%. this determines that out of all 94 responses, by dividing it by the 9 people who prefer organic food, you get 10.444 percent which is approximately 10%

The pet store owner's conclusion about her customers' preference for organic pet food is not entirely valid due to the small sample size and potential bias in her survey results. For more accurate conclusions, she should get responses from a larger, more diverse group of customers.

The pet store owner's conclusion is not entirely valid because it is based on the assumption that the 94 responses she received are representative of her entire customer base. While 9 out of 94 responses did indicate a preference for organic pet food, this is a small sample size and may not accurately reflect the preferences of all customers. For a more accurate estimate, she would need to collect responses from a larger and more diverse group of customers, to allow the results to be more statistically significant.

A small sample size can lead to inaccuracies or bias in survey results. In addition, because these customers self-selected to respond tot he survey, they may not represent the full spectrum of her customers. This type of bias is known as a self-selection bias.

So, while it's a starting point, further sampling and more robust survey methods would help strengthen the validity of her conclusions about her customers' pet food preferences.

https://brainly.com/question/32019997

#SPJ2

Answer:

Its only 5 times larger!

Step-by-step explanation:

5 x 10*5= 500000

1 x 10*5= 100000

1 x 10*5 x 5 = 500000

There are 2 sides that are 2 x 1 = 2 ft^2 each

2 sides are 1 x 8 = 8 ft^2 each

And 2 sides 2 x 8 = 16 ft^2 each

Total surface area = 2 + 2 +8+ 8 +16 + 16 = 52 ft^2

Answer: [tex]\text{Surface area =}52\text{ ft.}^2[/tex]

Step-by-step explanation:

The surface area of a rectangular prism is given by :-

[tex]S.A.=2(lw+wh+lh)[/tex], where l is length, w is width and h is height of prism.

From the given picture, length =2ft

height = 8 ft.

width = 1 ft

Then , the surface area of prism will be :-

[tex]S.A.=2((2)(1)+(1)(8)+(8)(2))\\\\\Rightarrow\ S.A.=2(26)\\\\\Rightarrow\ S.A.=52\text{ ft.}^2[/tex]

Answer: rotation

Step-by-step explanation:

a rotation about 90degrees

The transformation of Figure 1 results in Figure 2 is Rotation.

A transformation is a broad phrase covering four distinct methods of changing the shape and/or position of a point, line, or geometric figure. The Pre-Image is the original shape of the object, and the Image during the transformation is the final shape and location of the object.

Transformations in geometry are categorized into three;

As we translate, we move a figure in any direction.

When we flip a figure over a line, we call this reflection.

When we rotate a figure a given amount around a point, we call this rotation.

As we dilate, we enlarge or contract a figure.

Learn more about Transformation here:

https://brainly.com/question/10209321

#SPJ3

Answer:

4x=45

Step-by-step explanation:

Cross multiply to get a simplified equation.

4/5=9/x

4x=45

x=11.25

Answer:

Step-by-step explanation:

4/5=9/x

cross multiphication

x=9*5/4

x=45/4

Answer:

17.C

18.A

Step-by-step explanation:

17. Slope=(y2-y1)/(x2-x1)

=(-1-(-2))/(4-(-3))

=1/7

18.Slope=(y2-y1)/(x2-x1)

=(9-6)/(2-0)

=3/2

Do you want 19 and 20 too?

Question 1:

For this case we have that by definition, the slope of a line is given by:

[tex]m = \frac {y_ {2} -y_ {1}} {x_ {2} -x_ {1}}[/tex]

Where:

[tex](x_ {1}, y_{1}) and (x_ {2}, y_{2})[/tex]are two points through which the line passes.

[tex](x_ {1}, y_{1}) = (- 3, -2)\\(x_ {2}, y_{2}) = (4, -1)[/tex]

Substituting in the equation:

[tex]m = \frac {-1 - (- 2)} {4 - (- 3)} = \frac {-1 + 2} {4 + 3} = \frac {1} {7}[/tex]

ANswer:

Option C

Question 2:

For this case we have that by definition, the slope of a line is given by:

[tex]m = \frac {y_ {2} -y_ {1}} {x_ {2} -x_ {1}}[/tex]

Where:

[tex](x_ {1}, y_{1}) and (x_ {2}, y_{2})[/tex] are two points through which the line passes.

[tex](x_ {1}, y_{1}) = (0,6)\\(x_ {2}, y_{2}) = (2,9)[/tex]

Substituting in the equation:[tex]m = \frac {9-6} {2-0} = \frac {3} {2}[/tex]

ANswer:

Option A

Question 3:

For this case we have that by definition, the slope of a line is given by the following formula:

[tex]m = \frac {y_ {2} -y_ {1}} {x_ {2} -x_ {1}}[/tex]

Where:

[tex](x_ {1}, y_{1}) and (x_ {2}, y_{2})[/tex]are two points through which the line passes.

We have as data:

[tex]m = \frac {7} {8}\\(x_ {1}, y_{1}) = (- 2,1)[/tex]

Substituting in the formula:

[tex]\frac {7} {8} = \frac {y_ {2} -1} {x_ {2} - (- 2)}\\\frac {7} {8} = \frac {y_ {2} -1} {x_ {2} +2}[/tex]

We substitute each of the points and see if the equality is met:

Point A: (6,8)

[tex]\frac {7} {8} = \frac {8-1} {6 + 2}\\\frac {7} {8} = \frac {7} {8}[/tex]

Equality is met.

Answer:

Option A

Question 4:

For this case we have that by definition, the slope of a line is given by the following formula:

[tex]m = \frac {y_ {2} -y_ {1}} {x_ {2} -x_ {1}}[/tex]

Where:

[tex](x_ {1}, y_{1}) and (x_ {2}, y_{2})[/tex]are two points through which the line passes.

We have as data:

[tex]m = \frac {1} {6}\\(x_ {1}, y_{1}) = (0, -3)[/tex]

Substituting in the formula:

[tex]\frac {1} {6} = \frac {y_ {2} - (- 3)} {x_ {2} -0}\\\frac {1} {6} = \frac {y_ {2} +3} {x_ {2} -0}[/tex]

We substitute each of the points and see if the equality is met:

Point A: (-3,0)

[tex]\frac {1} {6} = \frac {0 + 3} {- 3-0}\\\frac {1} {6} = \frac {3} {- 3}[/tex]

It is not fulfilled!

Point B: (6, -2)

[tex]\frac {1} {6} = \frac {-2 + 3} {6-0}\\\frac {1} {6} = \frac {1} {6}[/tex]

Equality is met!

ANswer:

Option B

(5 x 10) + (8 x 1) + (8 x 0.1)

OR

50 + 8 + .8

Fifty-eight and eight tenths

Hope this helped!

Hello!

-EXPANDED FORM- To make the number 58.8 in expanded form, we start out with the number 50 and then add 8 ones to it and finally add .08

-WORD FORM- To make the number 58.8 in word form, the answer would be Fifty-Eight and Eight Tenths

Answer:

C = 20.65 + 0.75M

Step-by-step explanation:

Given in the question that,

standard charge by the rental company = S = 16.95 + 0.60M

insurance charge by the rental company = I = 3.70 + 0.15M

Total charge C = S + I

16.95 + 0.60M + 3.70 + 0.15M = C

20.65 + 0.75M = C

So the equation which represent total charge that includes insurance in terms of M is

The study where a scientist selects 400 people who snore to observe how many hours they snore, and calculates the average time as 4.2 hours, is an observational study.

When a scientist selects 400 people who snore at night to test how many hours they actually snore, and they gather data on the average length of time, which is 4.2 hours, this type of study is known as an observational study.

In an observational study, researchers simply observe the subjects in a study without manipulating any variables. This is different from an experimental study, where scientists would manipulate certain factors to observe the effects.

Therefore, the correct answer to your question is that the study is an observational study.

Answer:

16-20

Step-by-step explanation:

Mode is the one that happens the most and 16-20 has the highest bar

The mode is in people of age between 16- 20 , Therefore Option B is the answer.

Mode is the measure of central tendency of data , It is the value that is occurring continuously in a data set.

A histogram is given in the question ,

As from the definition mode is the value which is occurring repeatedly in the data , The mode is in people of age between 16- 20 , Therefore Option B is the answer.

To know more about Mode

https://brainly.com/question/17727138

#SPJ2

Answer:

B.

• x+2y=-6

• x-2y=-6

Step-by-step explanation:

Try the solution in the equations and choose the set of equations that is true.

___

A. -6+0 ≠ 0 . . . not this system

__

B. -6 +2·0 = -6 . . . true

-6 -2·0 = -6 . . . true . . . . . this system has solution (-6, 0)

__

C. -6 -6·0 ≠ 1 . . . not this system

__

D. 4(-6)+3·0 ≠ -18 . . . not this system

Pages Minutes

15 1

45 3

75 5

300 20

600 40

15 x 2= 39

45x 2= 90

75x2=150

30x20=60

600 x 2 = 1,200

Answer:

82

Step-by-step explanation:

49 - 3 + 72/2

= 46 + 36

= 82

For this case we must find the value of the following expression:

[tex]7 ^ 2[/tex]-3 + 9 * 8÷2 =

According to the PEMDAS algebraic order of operations:

P: Perform any calculation within parentheses

E: Simplify any exponential expressions.

MD: Do all the multiplications and divisions, from left to right, as they appear.

AS: Do all the addition and subtraction, from left to right, as they appear.

So:

49-3 + 9 * 8÷2 =

49-3 + 72÷2 =

49-3 + 36 =

46 + 36 =

82

ANswer:

82

Answer:

1?

Step-by-step explanation:

Answer:

The answer is i

Step-by-step explanation:

[tex] \sqrt{ - 1} = i[/tex]