Question 19 of 24
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Which value of x makes the quotient of (6x +90X2 - 135x)=(x+5) undefined?

Question 19 Of 241 PointWhich Value Of X Makes The Quotient Of (6x +90X2 - 135x)=(x+5) Undefined?

Answers

Answer 1

Answer:

D. -5

Step-by-step explanation:

The denominator of the quotient is x+5. When the denominator is zero, the quotient is undefined. The denominator will be zero when x=-5.


Related Questions

Please help me find the area of this polygon

Answers

Answer:

The area of the polygon = 216.4 mm²

Step-by-step explanation:

* Lets talk about the regular polygon

- In the regular polygon all sides are equal in length

- In the regular polygon all interior angles are equal in measures

- When the center of the polygon joining with its vertices, all the

 triangle formed are congruent

- The measure of each vertex angle in each triangle is 360°/n ,

  where n is the number of its sides

* Lets solve the problem

- The polygon has 9 sides

- We can divide it into 9 isosceles triangles all of them congruent,

 if we join its center by all vertices

- The two equal sides in each triangle is 8.65 mm

∵ The measure of the vertex angle of the triangle = 360°/n

∵ n = 9

∴ The measure of the vertex angle = 360/9 = 40°

- We can use the area of the triangle by using the sine rule

∵ Area of the triangle = 1/2 (side) × (side) × sin (the including angle)

∵ Side = 8.65 mm

∵ The including angle is 40°

∴ The area of each triangle = 1/2 (8.65) × (8.65) × sin (40)°

∴ The area of each triangle = 24.04748 mm²

- To find the area of the polygon multiply the area of one triangle

 by the number of the triangles

∵ The polygon consists of 9 congruent triangles

- Congruent triangles have equal areas

∵ Area of the 9 triangles are equal

∴ The area of the polygon = 9 × area of one triangle

∵ Area of one triangle = 24.04748 mm²

∴ The area of the polygon = 9 × 24.04748 = 216.42739 mm²

* The area of the polygon = 216.4 mm²

Answer

[tex]216.4 {mm}^{2} [/tex]

Explanation

The regular polygon has 9 sides.

Each central angle is

[tex] \frac{360}{n} = \frac{360}{9} = 40 \degree[/tex]

The area of each isosceles triangle is

[tex] \frac{1}{2} {r}^{2} \sin( \theta) [/tex]

We substitute the radius and the central angle to get:

[tex] \frac{1}{2} \times {8.65}^{2} \times \sin(40) = 24.05 {mm}^{2} [/tex]

We multiply by 9 to get the area of the regular polygon

[tex]9 \times 24.05 = 216.4 {mm}^{2} [/tex]

Need help with a math question

Answers

Answer:

27%

Step-by-step explanation:

take the number of times it is at 2 cars (16) and divide by the number of surveyed times in total (60). multiply by 100 to show answer as a percent

Answer:

27%

Step-by-step explanation:

We are given the results of survey of one thousand families to determine the distribution of families by their size.

We are to find the probability (to the near percent) that a line has exactly 2 cars in it.

Frequency of 2 cars in a line = 16

Total frequency = 2 + 9 + 16 + 12 + 8 + 6 + 4 + 2 + 1 = 60

P (2 cars in line) = (16 / 60) × 100 = 26.6% ≈ 27%

Since BC is parallel to DE, triangles ABC and ADE are similar. What are the lengths of the unknown sides?

A. AC = 6 in.; CE = 18 in.
B. AC = 15 in.; CE = 5 in.
C. AC = 18 in.; CE = 6 in.
D. AC = 5 in.; CE = 15 in.

Answers

Answer:

Since we have BC ║ DE, we know that:

AB/AD = BC/DE

12/(12 + 4) = BC/12

12/16 = BC/12

BC = (12 · 12)/16 = 9 (in)

Applying the pythagorean, we have:

AB² + BC² = AC²

12² + 9²     = AC²

225           = AC²

AC             = √225 = 15 (in)

Using the information about the parallel lines again, we have:

AC/CE = AB/BD

15/CE = 12/4

CE = (15 · 4)/12 = 5 (in)

So the answer is B

The answer is gonna be: (B)

Which shows the correct substitution of the values a, b, and c from the equation 0 = – 3x2 – 2x + 6 into the quadratic formula? Quadratic formula: x =

Answers

Answer:

[tex]x=\frac{-(-2)\pm \sqrt{(-2)^2-4(-3)(6)}}{2(-3)}[/tex]

Step-by-step explanation:

The given quadratic equation is

[tex]-3x^2-2x+6=0[/tex]            .... (1)

If a quadratic equation is defined as

[tex]ax^2+bx+c=0[/tex]            .... (2)

then the quadratic formula is

[tex]x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]

On comparing (1) and (2), we get

[tex]a=-3,b=-2,c=6[/tex]

Substitute [tex]a=-3,b=-2,c=6[/tex] in the above formula.

[tex]x=\frac{-(-2)\pm \sqrt{(-2)^2-4(-3)(6)}}{2(-3)}[/tex]

Therefore, the correct substitution of the values a, b, and c in the quadratic formula is [tex]x=\frac{-(-2)\pm \sqrt{(-2)^2-4(-3)(6)}}{2(-3)}[/tex].

Help please. Select all correct answers

Answers

We're given pairs (A,B) and asked if we have

enough calcium,

5A + 4B >= 24

enough iron

4A + 6B >= 15

and enough vitamins

7A + 4B >= 15

We check each constraint on each pair; if we find any false we can stop for that pair.

(A,B)=(1,4)

5(1)+4(4)=21   under 24, NO CHECK

(A,B)=(1,5)

5(1) + 4(5) = 25, bigger than 24, good

4(1) + 6(5) = 34, bigger than 15, good

7(1) + 4(5) = 27, bigger than 15, good   CHECK

(A,B)=(2,3)

5(2)+4(3)=22, NO CHECK

(A,B)=(3,2)

5(3)+4(2)=23, NO CHECK

(A,B)=(4,1)

5(4) + 4(1) = 24, ok

4(4) + 6(1) = 22, ok

7(4) + 4(1) = 32, ok, CHECK

Answer:

(1,5),  (4,1)

Step-by-step explanation:

Let's check the possible answers and see if they will Steve to meet his requirements:

We'll start by looking if each answer (dose) will provide enough calcium first.  If it does, we'll get iron and vitamins if needed.

a) (1,4)

Calcium, at least 24 mg

24 ≤ 5x + 4y

24 ≤ 5 (1) + 4 (4)

24 ≤ 5 + 16

24 ≤ 21

NO!

b) (1,5)

Calcium, at least 24 mg

24 ≤ 5x + 4y

24 ≤ 5 (1) + 4 (5)

24 ≤ 25   YES!

Iron, at least 15 mg

15 ≤ 4x + 6y

15 ≤ 4(1) + 6(5)

15 ≤ 34 YES!

Vitamins, at least 16 mg

16 ≤ 7x + 4y

16 ≤ 7 (1) + 4 (5)

16 ≤ 27  YES

YES, YES, YES...

c) (2,3)

Calcium, at least 24 mg

24 ≤ 5x + 4y

24 ≤ 5 (2) + 4 (3)

24 ≤ 22 NO!

d) (3,2)

Calcium, at least 24 mg

24 ≤ 5x + 4y

24 ≤ 5 (3) + 4 (2)

24 ≤ 23 NO!

e) (4,1)

Calcium, at least 24 mg

24 ≤ 5x + 4y

24 ≤ 5 (4) + 4 (1)

24 ≤ 24   YES!

Iron, at least 15 mg

15 ≤ 4x + 6y

15 ≤ 4(4) + 6(1)

15 ≤ 22 YES!

Vitamins, at least 16 mg

16 ≤ 7x + 4y

16 ≤ 7 (4) + 4 (1)

16 ≤ 32 YES

YES, YES, YES...

If there are 25 questions in a test, and I got an 84% grade, how many questions did I get wrong? Please explain!


-sunny

Answers

Answer:

4 wrong

Step-by-step explanation:

Just do .84 times 25.

.84(25)=21

That means you got 21 questions right.

Answer:

You missed 4 questions.

Step-by-step explanation:

If you have a 100 questions test with 1 point each and you get and 84% that means you missed 16 questions. Since there was 25 questions on this test that is 1 quarter of 100. Divide the number of questions missed on a 100 questions test by the fraction of the actual test. So by 4. 16 divided by 4 = 4

A commercial aircraft gets the best fuel efficiency if it operates at a minimum altitude of 29,000 feet and a maximum altitude of 41,000 feet. Model the most fuel-efficient altitudes using a compound inequality.

x ≥ 29,000 and x ≤ 41,000
x ≤ 29,000 and x ≥ 41,000
x ≥ 41,000 and x ≥ 29,000
x ≤ 41,000 and x ≤ 29,000

Answers

Answer:

[tex]x\geq 29,000[/tex]  and  [tex]x\leq 41,000[/tex]

Step-by-step explanation:

Let

x -----> the altitude of a commercial aircraft

we know that

The expression " A minimum altitude of 29,000 feet" is equal to

[tex]x\geq 29,000[/tex]

All real numbers greater than or equal to 29,000 ft

The expression " A maximum altitude of 41,000 feet" is equal to

[tex]x\leq 41,000[/tex]

All real numbers less than or equal to 41,000 ft

therefore

The compound inequality is equal to

[tex]x\geq 29,000[/tex]  and  [tex]x\leq 41,000[/tex]

All real numbers greater than or equal to 29,000 ft and less than or equal to 41,000 ft

The solution is the interval ------> [29,000,41,000]

Answer:

A

Step-by-step explanation:

How are the graphs of the functions f(x) = /16x and g(x) = 3/64x related

Answers

Answer:

the functions f(x) and g(x) are equivalent

Step-by-step explanation:

Your full question is attached below

The equations of your problem are

f(x) = √(16^x)

f(x) = √(4^(2x))

f(x) = √(4^(2x)) = √(4^x.4^x)

f(x) = 4^(x)

and

g(x) = ∛64^x

g(x) = ∛4^(3x)

g(x) = ∛4^(3x)  =  ∛4^(x) .4^(x) .4^(x)

g(x) = 4^(x)

Thus, the functions f(x) and g(x) are equivalent

The height of a kicked football can be represented by the polynomial –16t2 + 32t + 3 where t is the time in seconds. Find the height (in feet) of the football after 1.2 seconds. A. 18.75 feet B. 18.25 feet C. 18.36 feet D. 18.05 feet

Answers

Final answer:

To find the height of the football after 1.2 seconds, we substitute t with 1.2 in the polynomial −16t2 + 32t + 3, simplifying to 18.36 feet, which corresponds to answer option C.

Explanation:

The student asked to find the height of a kicked football after 1.2 seconds, with the height given by the polynomial −16t2 + 32t + 3, where t is the time in seconds. To solve for the height after 1.2 seconds, we substitute t with 1.2 in the polynomial, which gives us:

−16(1.2)2 + 32(1.2) + 3

Calculating this gives:

−16(1.44) + 38.4 + 3

−23.04 + 38.4 + 3

15.36 + 3

18.36 feet.

Therefore, after 1.2 seconds, the height of the football is 18.36 feet, making the correct answer option C.

Which is correct regarding the statement: "If x is an odd integer, then the median of x, x + 2, x + 6, and x + 10 is an odd number" the statement is always false the statement is always true the statement is sometimes true there is not enough information provided to answer the question

Answers

Answer:

I believe it's the statement is always true.

Step-by-step explanation:

test it by substituting x = an odd number:

x=1

so

x = 1 odd number

x + 2 = 1+2 = 3 odd

x + 6 = 1 + 6 = 7 odd

x + 10 = 1+10=11 odd

Answer:

the statement is always true.

What is the value of n?

-4n = 696

A)
n = -2,784

B)
n = -174

C)
n = 174

D)
n = 2,784

Answers

Answer:

n = -174

Step-by-step explanation:

What I did was 696 divided by -4 and got B) n = -174.

Please mark brainliest and have a great day!

B)
Explanation:
-4n=696
Divide both sides by -4
696/-4
N= -174
Remember a -/+= a negative and -/-= positive it’s the same for multiplication as well.

URGENT PLEASE HELP I can not figure this out ive gotten it wrong 3 times pleae

Answers

Answer:

  see below for a graph

Step-by-step explanation:

Each of the functions:

y = -xy = x+2y = 5

will only be graphed in the specified domain. You know that ...

  y = -x

is a line with slope -1 through the origin. It won't go through the origin on your graph, because it stops at x = -2. f(x) is not defined as -(-2) at x=-2, so there will be an open circle at the end of this portion of the graph.

__

You know that

  y = x+2

is a line with slope +1 through the y-intercept (0, 2). It will only be part of your graph for x-values between -2 and 2, inclusive. Because f(x) is defined as x+2 at the end points of this segment, those points will be shown as solid dots.

__

You know that

  y = 5

is a horizontal line. It will be part of your graph for x > 2, and will have an open circle on the end at x=2. f(2) is not defined as 5, but is defined as 4 (see above), which is why the circle is open.

Given the statement "If a line is horizontal, then it has slope equal to zero," what is its contrapositive?

Answers

Answer:

if a line has a slope equal to zero, then it is horizontal

Step-by-step explanation:

Answer:

If a line does not have zero slope, then it is not a horizontal line.

Step-by-step explanation:

edg

Which is greater, 7 P 5 or 7 C 5? 7P5 7C5

Answers

[tex]_7P_5=\dfrac{7!}{(7-5)!}=\dfrac{7!}{2!}=3\cdot4\cdot5\cdot6\cdot7=2520\\_7C_5=\dfrac{7!}{5!2!}=\dfrac{6\cdot7}{2}=21\\\\\\_7P_5> {_7C_5}[/tex]

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

[tex]_nP_k[/tex] is always greater than [tex]_nC_k[/tex]. And it's greater [tex]k![/tex] times.

[tex]\dfrac{_nP_k}{_nC_k}=\dfrac{\dfrac{n!}{(n-k)!}}{\dfrac{n!}{k!(n-k)!}}=\dfrac{n!}{(n-k)!}\cdot \dfrac{k!(n-k)!}{n!}=k![/tex]

Carl's Candies has determined that a candy bar measuring 3 inches long has a z-score of +1 and a candy bar measuring 3.75 inches long has a z-score of +2. What is the standard deviation of the length of candy bars produced at Carl's Candies?

Answers

Answer:

0.75 inches

Step-by-step explanation:

The value that has z=2 is 2 standard deviations from the mean. The value that has z=1 is 1 standard deviation from the mean. The difference between these two values is 1 standard deviation:

1 standard deviation = 3.75 in - 3 in = 0.75 in

Answer:

0.75

Step-by-step explanation:

The legs of a right triangle have lengths of 28 and 16. What's the length of the hypotenuse, rounded to the nearest hundredth? A. 32.25 B. 32.45 C. 22.98 D. 22.94

Answers

Answer:

h = 32.25.

Step-by-step explanation:

h^2 = 28^2 + 16^2 (Pythagoras theorem).

h = √1040

h = 32.25.

Using the Pythagorean theorem, the length of the hypotenuse in a right triangle with legs of lengths 28 and 16, rounded to the nearest hundredth, is 32.25.

The question asks for the length of the hypotenuse in a right triangle with legs of lengths 28 and 16. To find this, we use the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the two legs (a and b). Thus, according to the equation a² + b² = c², we substitute the given values to find the hypotenuse length.

Using the given lengths:

a = 28

b = 16

We calculate:

c = √(28² + 16²)

c = √(784 + 256)

c = √(1040)

c = 32.249

Rounded to the nearest hundredth, the length of the hypotenuse is therefore 32.25.

What integer is equal to 8^ 2/3 ?

Answers

Simplifying it, convert it to a radical form, and evaluate it.. Either way it all equals to a simple whole number, which is '4',

well, except when you convert the expression to radical form using the formula 'a^x/n=n√a^x' then it'll be '^3√8^2'.

____

I hope this helps, as always. I wish you the best of luck and have a nice day, friend..

Answer:

4

Step-by-step explanation:

8 ^ (2/3)

The 2 means squared and the 3 means root

8^2  ^ (1/3)

Rewriting 8 as 2^3

2^3 ^ (2/3)

We know a^ b^c = a^ (b*c)

2 ^ (3*2/3)

2^ 2

4

OR

8 ^ (2/3)

The 2 means squared and the 3 means root

8^2  ^ (1/3)

64 ^ 1/3

We know 4*4*4 = 64

(4*4*4)^ 1/3

4

Which set of ordered pairs has point symmetry with respect to the origin (0, 0)? (-12, 5), (-5, 12) (-12, 5), (12, -5) (-12, 5), (-12, -5) (-12, 5), (12, 5)

Answers

Answer:

  (-12, 5), (12, -5)

Step-by-step explanation:

Reflection across the origin is the transformation ...

   (x, y) ⇒ (-x, -y)

Look for coordinates that are the opposites of their counterparts. You will find the appropriate answer choice is ...

  (-12, 5), (12, -5)

Answer:

(-12, 5), (12, -5)

Step-by-step explanation:

Since, the rule of point symmetry with respect to the origin is,

[tex](x,y)\rightarrow (-x, -y)[/tex]

That is, the mirror image of the point (x, y) with respect to the origin is (-x,-y),

Thus, in the point symmetry with respect to the origin,

[tex](-12, 5)\rightarrow (-(-12), -5))[/tex]

So, the mirror image of point (-12,5) with respect to the origin is (12, -5),

Hence, the set of ordered pairs has point symmetry with respect to the origin is,

(-12, 5), (12, -5)

Second option is correct.

can anyone help with problems 6 and 8 those are the only ones I cannot figure out

Answers

Answer:

[tex](f + g) (x)=x^2 +x +3[/tex]

[tex](f - g) (x)=-x^2 +5x +1[/tex]

Step-by-step explanation:

We have the following functions:

[tex]f(x)=3x +2\\[/tex] and [tex]g(x) = x^2 -2x +1[/tex]

First we find [tex](f + g) (x)[/tex]

To find [tex](f + g) (x)[/tex] we must add the function f(x) with the function g(x)

[tex](f + g) (x)=3x +2 + x^2 -2x +1[/tex]

[tex](f + g) (x)=x^2 +x +3[/tex]

Now we find [tex](f - g) (x)[/tex]

To find [tex](f - g) (x)[/tex] we must subtract the function f(x) with the function g(x)

[tex](f - g) (x)=3x +2 - (x^2 -2x +1)[/tex]

[tex](f - g) (x)=3x +2 - x^2 +2x -1[/tex]

[tex](f - g) (x)=-x^2 +5x +1[/tex]

The density of granite is about 2.75 grams per cubic centimeter. Suppose you have a granite countertop for a kitchen that is 1 meter wide, 3 meters long, and 4 centimeters thick. Which of the following equations will give you its mass, in kilograms? View Available Hint(s) The density of granite is about 2.75 grams per cubic centimeter. Suppose you have a granite countertop for a kitchen that is 1 meter wide, 3 meters long, and 4 centimeters thick. Which of the following equations will give you its mass, in kilograms? 2.75 gcm3×1 m×3 m×4 cm×1000 g1 kg 2.75 gcm3×1 m×3 m×(100 cm1 m)2×4 cm×1 kg1000 g 2.75 gcm3×1 m×3 m×4 cm×1 m100 cm×1 kg1000 g 2.75 gcm3×1 m×3 m×4 cm×1 kg1000 g 2.75 g3cm3×1 m×3 m×(100 cm1 m)2×4 cm×(1 kg1000 g)3 2.75 gcm3×1 m×3 m×(1 m100 cm)2×4 cm×1 kg1000 g

Answers

Answer:

[tex]330\ kg[/tex]

Step-by-step explanation:

Remember that

1 kg=1,000 g

1 m= 100 cm

The volume of the granite countertop in cubic centimeters is equal to

[tex]V=(100)(300)(4)\ cm^{3}[/tex]

The density in kg per cubic centimeter is equal to

[tex]D=2.75(\frac{1}{1,000}) \frac{kg}{cm^{3}}[/tex]

Multiply the density by the volume

[tex]2.75(\frac{1}{1,000})(100)(300)(4)[/tex]

[tex]2.75(120)=330\ kg[/tex]

Which postulate can be used to prove that the triangles are congruent?


A. SAS

B. SSS

C. ASA

D. not congruent

Answers

Answer:

D. not congruent

Step-by-step explanation:

Only two pairs of congruent sides are given to us, when we need either 3 pairs of congruent sides (SSS) or two pairs of congruent sides & 1 pair of congruent angles (SAS), or two pairs of congruent angles & one pair of congruent sides (ASA).

~

Answer the following questions.
1. How many favorable outcomes are expressed in the probability 7/9 ?
2. How many possible outcomes are expressed in the probability 14/25 ?
3. What fraction correctly shows the probability of 14 favorable outcomes out of 21 possible outcomes?
(Enter
as a reduced fraction using / for the fraction bar. Do not use any spaces in your answer.. Example: 1/2 is 1/2
4. Which probability is least likely; 17/35, 5/13, 132/425, 1/2?​

Answers

Answer:

1. 7

2. 25

3. 2/3

4. 132/425

Step-by-step explanation:

Probability is the likelihood of an event occurring and it can be computed by:

[tex]Probability=\dfrac{favorable\hspace{1mm}outcomes}{all\hspace{1mm}possible\hspace{1mm}outcomes}[/tex]

1. So when you are given a probability of 7/9:

[tex]Probability=\dfrac{favorable\hspace{1mm}outcomes}{all\hspace{1mm}possible\hspace{1mm}outcomes}=\dfrac{7}{9}[/tex]

So the answer is 7.

2. Given the probability is 14/25:

[tex]Probability=\dfrac{favorable\hspace{1mm}outcomes}{all\hspace{1mm}possible\hspace{1mm}outcomes}=\dfrac{14}{25}[/tex]

The number of possible outcomes is 25.

3. You have 14 favorable outcomes out of 21 possible outcomes.

[tex]Probability=\dfrac{favorable\hspace{1mm}outcomes}{all\hspace{1mm}possible\hspace{1mm}outcomes}=\dfrac{14}{21}\div \dfrac{7}{7}=\dfrac{2}{3}[/tex]

The answer is 2/3.

The least likely even would be the smallest fraction. If you want to do this the easy way, just change them all to decimal and find the value with the least.

17/35 = 0.49

5/13 = 0.38

132/425 = 0.31

1/2 = 0.5

Since 132/425 = 0.31 is the smallest, then it is the least likely probability.

PLS HELP BRAINLIET WILL BE GIVEN :D

Answers

b)

A - wins at both games

[tex]P(A)=0.3\cdot0.4=0.12[/tex]

c)

A - wins at just one of the games

[tex]P(A)=0.3\cdot0.6+0.7\cdot0.4=0.18+0.28=0.46[/tex]

The distance a car travels at a rate of 65 mph is a function of the time, t, the car travels. Express this function and evaluate it for f(3.5).

Answers

Distance = rate * time

Replace D with f. Instead of writing D(t), write f(t).

f(t) = 65t

Let t = 3.5

f(3.5) = 65(3.5)

f(3.5) = 227.5

Did you follow?

Final answer:

The distance a car travels at 65 mph is a function of time, expressed as f(t) = 65t. Evaluating it for 3.5 hours, the car would travel 227.5 miles.

Explanation:

The distance a car travels at a rate of 65 mph is a function of the time, t, the car travels. This can be expressed mathematically as f(t) = 65t, where f(t) is the distance in miles and t is the time in hours. To evaluate this function for f(3.5), we multiply 65 miles/hour by 3.5 hours.

f(3.5) = 65 miles/hour × 3.5 hours = 227.5 miles

Therefore, a car traveling at a constant speed of 65 mph for 3.5 hours will have traveled 227.5 miles.

The population of a city in 2000 was 400,000 while the population of the suburbs of that city in 2000 was 900,000. Suppose that demographic studies show that each year about 5% of the city's population moves to the suburbs (and 95% stays in the city), while 4% of the suburban population moves to the city (and 96% remains in the suburbs). Compute the population of the city and of the suburbs in the year 2002. For simplicity, ignore other influences on the population such as births, deaths, and migration into and out of the city/suburban region.

Answers

Answer: 900,000 for the city/2,304,000

Step-by-step explanation:

I used the exponential growth formula with initial population rate of growth and time passed.

Final answer:

In 2002, the population of the city was 416,000 and the population of the suburbs was 884,000.

Explanation:

In 2000, the city's population was 400,000 and the suburban population was 900,000. Each year, 5% of the city's population moves to the suburbs (and 95% stays in the city), and 4% of the suburban population moves to the city (and 96% remains in the suburbs). To calculate the population of the city in 2002, we need to subtract 5% of the city's population in 2000 from the 2000 city population and add 4% of the suburban population. To calculate the population of the suburbs in 2002, we need to subtract 4% of the suburban population in 2000 from the 2000 suburban population and add 5% of the city population.

Population of city in 2002 = (City population in 2000) - 5% of (City population in 2000) + 4% of (Suburban population in 2000)

Population of suburbs in 2002 = (Suburban population in 2000) - 4% of (Suburban population in 2000) + 5% of (City population in 2000)

By substituting the given values, we can calculate the population of the city and suburbs in 2002.

Population of city in 2002 = 400,000 - 0.05 * 400,000 + 0.04 * 900,000

Population of city in 2002 = 400,000 - 20,000 + 36,000

Population of city in 2002 = 416,000

Population of suburbs in 2002 = 900,000 - 0.04 * 900,000 + 0.05 * 400,000

Population of suburbs in 2002 = 900,000 - 36,000 + 20,000

Population of suburbs in 2002 = 884,000

Learn more about Population calculation here:

https://brainly.com/question/2894353

#SPJ3

An election was contested by 3 candidates.A got 345983 votes. His nearest rival, Candidate B won elections by 15967 votes. Candidate C got 279845 votes and 39823 votes were declared invalid. Find total number of votes polled.

Answers

Final answer:

To find the total number of votes polled in the election with three candidates and invalid votes, the sum of votes received by each candidate and the invalid votes is calculated. The total number of votes polled is 1,027,601.

Explanation:

The question pertains to vote totals and calculating the overall number of votes polled in an election with three candidates. To solve this, we will perform simple addition of the votes received by each candidate and also include votes that were declared invalid.

Candidate A received 345,983 votes. Candidate B won the election by a margin of 15,967 votes more than Candidate A, which means Candidate B received 345,983 + 15,967 = 361,950 votes. Candidate C received 279,845 votes, and there were 39,823 invalid votes.

To find the total number of votes polled, add together all the votes:

Votes for Candidate A: 345,983

Votes for Candidate B: 361,950 (since Candidate B won by 15,967 votes more than Candidate A)

Votes for Candidate C: 279,845

Invalid votes: 39,823

Adding these together:

345,983 + 361,950 + 279,845 + 39,823 = 1,027,601

Therefore, the total number of votes polled in the election is 1,027,601.

98 POINTS!!!!!!!!!!!!!!!!!!

Answers

Answer:

a = 13 and b = 12-5i

Step-by-step explanation:

We need a common denominator

3+2i         5-i

---------- + ---------

3-2i          2+3i

(3+2i) (2+3i)         (5-i)(3-2i)

------------------ + --------------------

(3-2i) (2+3i)          (2+3i) (3-2i)

Foil the numerators

6 +4i+9i+6i^2 +15-3i-10i+2i^2        

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

         (2+3i) (3-2i)

Combine like terms

21 +8i^2          

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

(2+3i) (3-2i)

We know that i^2 = -1

21 +8(-1)        

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

(2+3i) (3-2i)

21 -8        

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

(2+3i) (3-2i)

13        

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

(2+3i) (3-2i)

Foil the denominator

13

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

6 +9i -4i -6i^2

Combine like terms

13

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

6+ 5i -6(-1)

13

----------

12 +5i

We know have

13

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

12 + 5i

Multiply by the conjugate

13               ( 12-5i)

------------- * -------------

12 + 5i         12 -5i

13 (12-5i)

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

144 +25

13(12-5i)

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

169

12-5i

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

13

The parentheses are (12-5i)/13

We need the reciprocal to make the equation become 1

which is 13/ 12-5i

a = 13 and b = 12-5i

Answer:

a = 13

b= 12-5i

Step-by-step explanation:

Simplify the values and i squared will be -1

20 da is equal to A. 2,000 cm. B. 2 m. C. 20,000 cm. D. 20,000 mm

Answers

Answer:

B. 2 m

Step-by-step explanation:

20 da is equal to 2 m.

Can someone please help me? Will give the brainlest!!

Answers

Step-by-step explanation:

The ratio of the perimeters = the scale

P₂ / P₁ = 6 / 4 = 3 / 2

The ratio of the areas = the square of the scale

A₂ / A₁ = (6 / 4)² = (3 / 2)² = 9 / 4

Same for the triangles:

P₂ / P₁ = 6 / 3 = 2

A₂ / A₁ = (6 / 3)² = (2)² = 4

Which system could be used to solve the following:

A manager is comparing two companies.

Company A charges $50 plus $7 per item.

Company B charges $30 plus $9 per item.

For what number of items will the cost be the same at both companies?

(A) y=7+50x
y=30+9x

(B) y=50+7x
y=30x+9

(C) y=50+7x
y=30+9x

(D) y=50x+7
y=30x+9

Answers

Answer:

(C)

10

Step-by-step explanation:

Let y = cost of items

Let x = number of items

Total cost  = fixed charge + (cost per item x number of items)

Given:

company A fixed charge = $50 , cost per item = $7

company B fixed charge = $30 , cost per item = $9

For company A,

Total Cost = $50 + ($7 x number of items),

          or

     y = 50 + 7x

Similarly for company B,

Total Cost = $30 + ($9 x number of items),

          or

     y = 30 + 9x

Hence (C) is the correct answer.

For the cost to be the same, Total cost for A = total cost for B

i.e 50 + 7x = 30 + 9x

x = 10 items  (Answer)

Final answer:

The correct system to solve the problem is y=50+7x and y=30+9x. The cost will be the same at both companies when there are 10 items.

Explanation:

The correct system that could be used to solve the problem is (C) y=50+7x and y=30+9x.

To find the number of items where the cost will be the same at both companies, we need to set the two equations equal to each other and solve for x.

50+7x = 30+9x

20 = 2x

x = 10

Therefore, the cost will be the same at both companies when there are 10 items.

Learn more about System of Equations here:

https://brainly.com/question/21620502

#SPJ12

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