2m · 2n would be the same as _____.

A) 4 mn
B) 2 m + n
C) 2 mn
D) 2 m - n

Answer:

5 + i

Step-by-step explanation:

the Fundamental theorem of Algebra states that a polynomial of gegree n has n zeros , some of which may be complex.

A polynomial of degree 3 will therefore have 3 zeros

given x = 1 and 5 - i are two of the zeros

Complex zeros occur as conjugate pairs , then

5 - i is a zero then 5 + 1 is also a zero

the 3 zeros are x = 1 , x = 5 - i and x = 5 + i

Answer:

20 would be the lowest that both 10 and 5 could go into, and that would make the fractions 4/20 and 6/20.

Answer:

10

Step-by-step explanation:

We need to find the lowest common multiple of teh 2 denominator:

So first let's write the first few multiples of 5:

5,10,15,20,25

Now let's write the first few multiples of 10:

10,20,30,40,50

Since 10 is the first number that appears in both lists this is our answer

The chairs in the auditorium illustrates an arithmetic sequence

From the question, we have the following sequence:

Seats: 18, 26, 34

Rewrite as:

26 = 18 + 8

34 = 26 + 8

The above means that:

The number of seats on a row is 8 added to the the number of seats on the previous row.

Hence, the recursive rule is:

an = an-1 + 8; a1 = 26

In (a), we have:

a1 = 26 and d = 8

The explicit rule is calculated using:

an = a1 + (n -1) * d

This gives

an = 26 + (n - 1) * 8

Expand

an = 26 - 8 + 8n

Evaluate the difference

an = 18 + 8n

Hence, the explicit rule is:

an = 18 + 8n

This means that n = 7.

So, we  have:

a7 = 18 + 8 * 7 = 74

Hence, there are 74 seats in the 7th row

We have the maximum number of rows to be 12.

So, the sigma notation would be:

[tex]\sum\limits^{12}_{n=1} {18 + 8n}[/tex]

The total number of seats is:

Sn = n/2(2a + (n -1) * d)

This gives

S12 = 12/2(2 * 26 + (12 -1) * 8)

S12 = 840

Hence, 840 chairs can fit the auditorium

Read more about arithmetic sequence at:

https://brainly.com/question/6561461

The circle is an illustration of intersecting chords.

The value of x is 4

The given parameters are:

This means that:

jn * nk = ln * nm

So, we have:

3 * x = 2 * 6

Divide both sides by 3

x = 2 * 2

Evaluate the product

x = 4

Hence, the value of x is 4

Read more about intersecting chords at:

https://brainly.com/question/13950364

Ball is sphere

SurfAce area:-

Answer:

Formula

Surface area of a sphere:

[tex]\sf SA=4\pi r^2[/tex]  (where r is the radius)

Given information

[tex]\pi[/tex] = 3.14

r = 16

Final solution

Substitute given values into the equation and solve:

[tex]\sf \implies SA=4 \cdot 3.14 \cdot 16^2[/tex]

            [tex]\sf =3215.36 \ cm^2[/tex]

Answer:

[tex] \dfrac{a}{a - 4} [/tex]

Step-by-step explanation:

You are subtracting fractions, so as usual with fraction subtraction, you need a common denominator. To get a common denominator, you need to factor each denominator.

[tex] \dfrac{3a}{a + 4} - \dfrac{2a^2 - 16a}{a^2 - 16} = [/tex]

Factor the right denominator. It is a difference of two squares.

[tex] = \dfrac{3a}{a + 4} - \dfrac{2a^2 - 16a}{(a - 4)(a + 4)} [/tex]

The left denominator is (a + 4). The right denominator is (a - 4)(a + 4). The LCD is (a - 4)(a + 4), so multiply the left fraction by (a - 4)/(a - 4).

[tex] = \dfrac{3a}{a + 4} \times \dfrac{a - 4}{a - 4} - \dfrac{2a^2 - 16a}{(a - 4)(a + 4)} [/tex]

[tex] = \dfrac{3a^2 - 12a}{(a - 4)(a + 4)} - \dfrac{2a^2 - 16a}{(a - 4)(a + 4)} [/tex]

Be careful when you do the subtraction of the numerators, 3a² - 12a minus 2a² - 16a. 3a² - 12a - (2a² - 16a). The minus of the subtraction changes each sign inside the parentheses, so you end up with 3a² - 12a - 2a² + 16a. Be especially careful with the +16a.

[tex] = \dfrac{3a^2 - 12a - (2a^2 - 16a)}{(a - 4)(a + 4)} [/tex]

[tex] = \dfrac{3a^2 - 12a - 2a^2 + 16a}{(a - 4)(a + 4)} [/tex]

[tex] = \dfrac{a^2 + 4a}{(a - 4)(a + 4)} [/tex]

[tex] = \dfrac{a(a + 4)}{(a - 4)(a + 4)} [/tex]

[tex] = \dfrac{a}{a - 4} [/tex]

The quadratic equation that can be used to determine the thickness of the frame will be B. 3x² + 5x - 19.25 = 0

It should be noted that a quadratic equation simply means an algebraic expression of the second degree in x.

In this case, the quadratic equation that can be used to determine the thickness of the frame will be 3x² + 5x - 19.25 = 0

Learn more about equations on:

https://brainly.com/question/2972832

Answer:

The answer is C. 4x2 + 16x - 4.25 = 0.

Step-by-step explanation:

Rewrite : [tex]1500 : (6^{2} +43)[/tex] x 37

Simplify : [tex]1500 : 79[/tex] x 37 = 702.531646...

Round to :
- Nearest whole number : 703
- 1 d.p : 702.5
- 2 d.p : 702.53
- 3 d.p : 702.532

The value of the expression when 1500 divided by (6 squared + 43) x 37 using simplification is 702.531647.

A collection of constants, variables connected using one or more arithmetic operator is called an expression.

The way of writing the complex mathematical problems into simpler forms using certain way is called simplification.

Simplification is solved using BODMAS rule.

The expression 1500 divided by (6 squared + 43) x 37 can be written in mathematical form as:

[tex]\dfrac {1500}{((6)^2 + 43)} \times37[/tex]

This can be simplified as,

[tex]\dfrac {1500}{(36 + 43)} \times37[/tex]

[tex]\dfrac {1500}{79} \times37[/tex]

On further solving, it results to 702.531647.

The value of the given expression is 702.531647.

Learn more about expressions here :

https://brainly.com/question/28170201

#SPJ6

Answer: 144 degrees, 136 degrees

Question 1:

The first x should be 144 because a straight line should equal 180, so you just subtract the (left angle or 36 degrees) with 180 to get the opposite angle.

Question 2:

For the second x, add the 2 interior angles and subtract it by 180 or the total sum of the interior angles.

49 + 87 = 136

180 - 136 = 44

Then follow the same steps in the first question.

180 - 44 = 136

Answer:

Step-by-step explanation:

Given equation,

⇒ 5x - 6 = 3x - 8

Subtracting 3x from both sides :

⇒ 5x – 6 – 3x = 3x – 8 – 3x

⇒ 2x – 6 = – 8

Adding 6 to both sides we get :

⇒ 2x – 6 + 6 = – 8 + 6

⇒ 2x = – 2

Dividing both sides by 2 we get :

⇒ 2x/2 = – 2/2

⇒ x = – 1

Therefore,

Answer:

[tex]\sf \boxed{\bold{x=-1}}[/tex]

Solving Stepwise:

[tex]\dashrightarrow \sf 5x-6=3x-8[/tex]

add 6 on both sides

[tex]\dashrightarrow \sf 5x-6+6=3x-8+6[/tex]

simplify

[tex]\dashrightarrow \sf 5x=3x-2[/tex]

subtract both sides by 3x

[tex]\dashrightarrow \sf 5x-3x=3x-2-3x[/tex]

simplify

[tex]\dashrightarrow \sf 2x=-2[/tex]

divide both sides by 2

[tex]\dashrightarrow \sf \dfrac{2x}{2} =\dfrac{-2}{2}[/tex]

simplify

[tex]\dashrightarrow \sf x =-1[/tex]

Check for the answer:

insert x = -1

[tex]\hookrightarrow \sf 5(-1)-6=3(-1)-8[/tex]

[tex]\hookrightarrow \sf -5-6=-3-8[/tex]

[tex]\hookrightarrow \sf -11=-11[/tex]

Answer:

While resting, his heart rate is at 60 bpm. After sprinting, his heart rate is at 130bmp. The difference is 130 - 60 = 70

Step-by-step explanation:

i hope this helps

The correlation coefficient of the given data about time and heart rates is 0.98.

A correlation coefficient is a statistical measure of the degree to which changes to the value of one variable expect change to the value of another.

We have been given time and heart rates of students in Mrs. Anderson's health class and we have to find the value of correlation coefficient.

The formula by Karl Pearson to calculate correlation coefficient is as under:

Correlation coefficient=

=∑(x-x bar)(y-y bar)/[tex]\sqrt{sum(x-x bar)^{2} } \sqrt{sum(y-y bar)^{2} }[/tex]

We have to calculate figures required to fill in the formula which are:

∑(x-x bar)(y-y bar)=350

∑[tex](x-x bar)^{2}[/tex]=44.67

∑[tex](y-y bar)^{2}[/tex]=2872.25

Correlation coefficient=350/[tex]\sqrt{44.67} \sqrt{2872.25}[/tex]

=350/6.68*53.59

=350/357.98

=0.977

After rounding off to nearest hundred it will be 0.98.

Hence the correlation coefficient of the data about time and heart rate is 0.98.

Learn more about correlation coefficient at https://brainly.com/question/4219149

#SPJ2

Answer:

Step-by-step explanation:

Answer:

$6.14.

Step-by-step explanation:

$30.70×20%

there will be after the tax and discount.

Answer:

What is the question? Also, your answer looks a bit wrong  1 think t should be 1 oz

Step-by-step explanation:

For every 15 oz potatoes, Garry uses 0.5 oz less cheese than Heather. So Heather's cheesy potatoes have more cheese.

The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.

For Gary's recipe of cheesy potatoes has 15oz of potatoes and 4oz of cheese.

Ratio of potatoes to cheese in Gary's recipe = 15/4

Heather's recipe of cheesy potatoes has 10 oz of potatoes and 3 oz of cheese.

Ratio of potatoes to cheese in Heather's recipe = 10/3

Multiplying with 1.5 in numerator and denominator

Ratio of potatoes to cheese in Heather's recipe = 15/4.5

Thus, for every 15 oz potatoes heather uses 4.5 oz of cheese.

Hence, In Heather's recipe amount of cheese is 0.5 oz more than Garry's recipe per 15 oz. of potatoes.

Learn more about ratio here:

brainly.com/question/13419413

#SPJ2

Answer:

i believe the last one would be 9 for the number of hours kevin works.

Step-by-step explanation:

Answer:

23/42

Step-by-step explanation:

2/7 = 12/42

1/6 = 7/42

12/42 + 7/42 = 19/42

42/42 - 19/42 = 23/42

Answer:

The number would be 90

Step-by-step explanation:

140 + 10 - 90 = 60

90 - 30 = 60

60 = 60

Answer: 90

Step-by-step explanation:

Let's use x as a placeholder to the number we are trying to find

[tex]140+10-x=x-30[/tex]

Now we need to isolate x

Step 1) Simplify both sides

[tex]140+10-x=x-30\\150-x=x-30[/tex]

Step 2) Add 30 to both sides

[tex]150-x+30=x-30+30\\180-x=x[/tex]

Step 3) Add x to both sides

[tex]180-x+x=x+x\\180=2x[/tex]

Step 4) Divide both sides by 2

[tex]\frac{180}{2}=\frac{2x}{2} \\90=x[/tex]

Step 5) Sub our value into the original equation and solve

[tex]140+10-x=x-30\\140+10-90=90-30\\150-90=60\\60=60[/tex]

Answer:

The answer is 7.

Step-by-step explanation:

7 + 2 is 9.

9 x 3 =27

27 - 7 =20.

Since the original number is 7 then we add 7 to 20.

7 + 20 = 27.

So, the number he started with is 7.

Answer:

1/2 of the  bar is left

Step-by-step explanation:

1/12 x2= 2/12

2/12+ 1/3=2/12+4/12

6/12=1/2

Answer:

[tex] \frac{3}{8} \div \frac{2}{3} - \frac{1}{8} [/tex]

Step-by-step explanation:

HOPE IT HELPS (^o^)/

#carryonlearning

Answer:

ik my head be harding so much

Step-by-step explanation:

like take it out

[tex]\\ \rm\Rrightarrow -42z^2=14z[/tex]

[tex]\\ \rm\Rrightarrow 42z^2=-14z[/tex]

[tex]\\ \rm\Rrightarrow 3z^2=-z[/tex]

[tex]\\ \rm\Rrightarrow 3z=-1[/tex]

[tex]\\ \rm\Rrightarrow z=-1/3[/tex]

Answer:

[tex] - \frac{844}{29} z[/tex]

Step-by-step explanation:

I hope to help

Answer: 224

Step-by-step explanation:

on the white boards

Answer:

i did it

Step-by-step explanation:

Answer:

D [-1,3] and R [5,27]

Step-by-step explanation:

I explained the process of finding the domain and range in your previous questions therefore I will only give you the answer for this one.

D [-1,3] or [tex]-1\leq x\leq 3[/tex]

R [5,27] or [tex]5\leq y\leq 27[/tex]

Answer:

Part A: No. Based on the scatter plot, r = 0.01 is not an accurate value for this data, because 0.01 means pratically no corrlation, while the points on the graph are moderately correlatedPart B: you must describe a scenary where a variable is the cause of the number of strawberries picked. See below, the example of rainfall.

Explanation:

1. Part A:

Since the points in the scatter plot show a moderated upward trend, you must expect a correlation coefficient close to ± 0.5. A correlation coefficient of 0.01 is too close to 0, which would mean that the points are almost not correlated at all.

The correlation coefficients, r, measure the strength of the correlation of two variables and they can have values from - 1 to  1.

r = - 1 is  a perfect negative correlation: the points will adjust perfectly to a line with negative slope.r =  + 1 is a perfect positive correlation: the points will ajdust perfectrly to a line with positive slope.r = 0 means that the variables are not correlated at all.

Hence, the closer to zero, the worse the correlation is, and that is what r = 0.01 means, but the graph shows other thing.

Therefore, the calculated value of r = 0.01 is not accurate for t his scatter plot.

2. Part B.

A causal relationship means that the expllanatory variable (the independent variable) is the cause of the dependent variable.

Hence, you must find a reasonable variable that can be the cause of the number of strawberries picked.

I could imagine the amount of rainfall the week before of harvest.

Thus, the scenario could be:

Amout of rainfall in mm (x)         Number of strawberries picked (y)

      100                                                     20

        50                                                     40

        25                                                     80

        12.5                                                  160

        6.25                                                 320

The amount of rainfall is the cause of the number of strawberries picked, and you could find a model (function) that relates both variables.

Answer:

teacher's age: 30

student's age: 15

Step-by-step explanation:

T = 15 + S

from above,

(T+15)/(s+15) = 3/2

by substitution,

(15+S +15)/(S+15) = 3/2

cross multiply,

2(S+30) = 3(S+15)

2S + 60 = 3S + 45

60 = S + 45

s = 15

T = 30