Is the following number rational or irrational?
-0.323232323232

Answer:

x ≈ - 1.28

Step-by-step explanation:

Using the rule of logarithms

[tex]log_{b}[/tex] x = n ⇔ x = [tex]b^{n}[/tex]

Given

ln(x + 4) = 1 , then

x + 4 = [tex]e^{1}[/tex] ( subtract 4 from both sides )

x = [tex]e^{1}[/tex] - 4 = - 1.28 ( to the nearest hundredth )

Answer:

Minimum number of voters for the democratic candidate would be 3120 voters.

Step-by-step explanation:

Total number of people turning out to vote = 12,000

Percentage of votes a democratic would get = 30%

Which means that it is expected that a democratic candidate will get: 30/100 · 12,000 = 3600 votes

However, the polling may have an error of +4% to -4%

Which means that the votes a democratic candidate will get will range from 30%+4% = 34% to 30%-4%= 26% of the total people who turn out to vote

Minimum number of voters can be determined by taking 26% of the total people who turn out to vote:

Minimum number of votes = 26/100 · 12,000 = 3120

Answer:

B

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

____________________________________

Hey!!!

Solution,

X+68.5+49.5=180(sum of angle of triangle)

or,X+118=180

or,X=180-118

X=62 degree

Hope it helps

Good luck on your assignment

Stay safe....

___________________________________

Answer:

B

Explanation:

Matches all the points on the graph

Answer:

B (the answer selected in the picture)

Step-by-step explanation:

The points in Quadrant 1:

~from left to right~

(2, 0)

(3, 3)

(4, 5)

The point in Quadrant 2:

(-5, 4)

The points in Quadrant 3:

~from left to right~

(-3, -2)

(-1, -2)

The point in Quadrant 4:

(6, -4)

All of these points are listed in the second answer choice; therefore this answer is correct.

Easy claps!

Answer: D) y = 2(5)^x

Step-by-step explanation: 2=2(5)^0 1250=2(5)^4

IT's basic prealgebra!

Answer:

D

Step-by-step explanation:

Answer:

I am not sure what to answer because you are a little unclear, but from what I can see, that means that there would be 14 normal card, and 2 marked cards. I am not sure what you are trying to find, but I am going to assume that you  are trying to find the probability of chossing the marked cards. If you are trying to find the prob. of pulling just one of the cards, then it would be 2/14, or 1/7. If you are seeking the probability of getting both cards, without replacement, then I dont know.

Step-by-step explanation:

Answer:

∠ A ≅ ∠ F

Step-by-step explanation:

Given that the triangles are congruent, then corresponding angles are congruent, that is

∠ A ≅ ∠ F

∠ B ≅ ∠ E

∠ C ≅ ∠ D

The correct statement from the list is therefore ∠ A ≅ ∠ F

The vertex and [tex]x-[/tex]intercepts of the graph of [tex]y= x^2 - 6x - 7[/tex] will be  [tex](3,-16)[/tex] and [tex](7,-1)[/tex], respectively.

A vertex in a quadratic equation is the minimum or maximum point of the equation and  an [tex]x-[/tex]intercept of a graph is the point at which the graph intersects the [tex]x-[/tex]axis.

Vertex form, [tex]y=a(x-h)^2+k[/tex]

We have,

[tex]y= x^2 - 6x - 7[/tex]

Now,

Find the [tex]x-[/tex]intercept  and to find [tex]x-[/tex]intercept put [tex]y=0[/tex] ;

i.e. [tex]y= x^2 - 6x - 7[/tex]

[tex]0= x^2 - 6x - 7[/tex]

[tex]x^2 - 6x - 7=0[/tex]

Now using Mid-term split method find value of [tex]x[/tex];

[tex]x^2 - 7x+1x - 7=0[/tex]

[tex]x(x - 7)+1(x - 7)=0[/tex]

[tex](x - 7)(x +1)=0[/tex]

[tex](x - 7)=0[/tex]⇒[tex]x=7[/tex]

[tex](x +1)=0[/tex]⇒[tex]x=-1[/tex]

So, these are the [tex]x-[/tex]intercept [tex](7,-1)[/tex] of the expression.

Now find the vertex using the above given formula;

[tex]y=a(x-h)^2+k[/tex]

Rewrite in vertex form

[tex]y= x^2 - 6x - 7[/tex]

Add and subtract [tex](-3)^2[/tex] in given expression;

[tex]y= x^2 - 6x + (-3)^2 -7 - (-3)^2[/tex]

[tex]y = x^2 - 6x + 9 -7 - 9[/tex]

[tex]y = x^2 - 6x + 9 -16[/tex]

Now convert quadratic part of equation in [tex](a-b)^2[/tex];

[tex]y = (x-3)^2-16[/tex]

Now compare it with [tex]y=a(x-h)^2+k[/tex]

We get,  [tex]h=3,\ k=-16[/tex]

So, these are the vertex [tex](3,-16)[/tex] of expression.

Hence, we can say that the vertex and [tex]x-[/tex]intercepts of the graph of [tex]y= x^2 - 6x - 7[/tex] will be  [tex](3,-16)[/tex] and [tex](7,-1)[/tex], respectively.

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Answer:

Part B is 1/4

Step-by-step explanation:

From the letter a), we have 8 possible options. From these options, we have 2 that have turkey and ketchup (WTK and BTK), so the probability is the number of options we want over the total number of options:

P = 2/8 = 1/4

Types of sandwiches Hugo could make

a) WCK, WTM, WTK, BCM, BCK, BTM, BTK.

A fraction of the possible types of sandwiches have Turkey and Ketchup

b) 1/4

a) For this answer we just need to write all possibilities of sandwiches, so we can use the options given to create all the sandwiches, besides the one given:

(WCM given), WCK, WTM, WTK, BCM, BCK, BTM, BTK.

b) From the letter a), we have 8 possible options. From these options, we have 2 that have turkey and ketchup (WTK and BTK), so the probability is the number of options we want over the total number of options:

P = 2/8 = 1/4

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Answer:

1. 56x - 480

2. 40x + 80

3. LENGTH = 72 feet, WIDTH = 66.4 feet

part 2: Regular means that all sides and angles are the same length

4. 6x

5. 216 feet

Step-by-step explanation:

(20x + 24) * (36x - 20)

56x - 480

2(20x + 24) + 2(36x - 20)

40x + 48 + 72 - 40

40x + 80

176 = 40x + 80

176 - 80 = 40x + 80 - 80

96 = 40x

96 / 40 = 40x / 40

2.4 = x

(20(2.4) + 24)

(36(2.4) - 20)

6(36)

Answer:

Domain : x ∈ Real Numbers

Range : y ≥ 30

Step-by-step explanation:

The given equation is:

[tex]y^2-9x^2=900[/tex]

Simplifying it

[tex]\frac{y^2}{900}-\frac{9x^2}{900}=\frac{900}{900}\\\frac{y^2}{900}-\frac{x^2}{100}=1\\\frac{y^2}{30^2}-\frac{x^2}{10^2}=1[/tex]

Where Standard equation of parabola is:

[tex]\frac{y^2}{a^2}-\frac{x^2}{b^2}=1[/tex]

Which are similar. Conic Section is a parabola.

Simplify the given equation:

[tex]y^2-9x^2=900\\y=\sqrt{9x^2+900},y=-\sqrt{9x^2+900}\\y=3\sqrt{x^2+100},y=-3\sqrt{x^2+100}[/tex]

For whatever value of x, term under the square root always remains positive, so

Domain : x ∈ Real Numbers

For minimum value of x i.e 0, y=30. If we increase x, y also increases. So

Range : y ≥ 30

Answer:

-10=m+(-15)

or,-10=m-15

or,-m=-15+10

or,-m=-5

m=5

Hope it helps

Good luck on your assignment

Answer:

[tex]m = 5[/tex]

Step-by-step explanation:

[tex] - 10 = m + ( - 15) \\ - 10 = m - 15 \\ - 10 + 15 = m \\ m = 5[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

D

Step-by-step explanation:

well the are obviously not parallel perpendicular line are right angled and the intersect so they are not skew lines

Answer:

Choice A (x=5)

Step-by-step explanation:

You can get you answer either by using the 3-4-5 Triangle Rule or the Pythagorean theorem ([tex]a^{2} +b^{2} =c^{2}[/tex])

Using the Pythagorean theorem:

Begin by plugging in 4 into a and 3 into b

[tex]4^{2} +3^{2} =c^{2}[/tex]

[tex]16 +9 =c^{2}[/tex]

[tex]c^{2}= 25[/tex]

Then, find the square root of each side

[tex]\sqrt{c^{2} } =\sqrt{25}[/tex]

[tex]c =5[/tex]

Choice A (x = 5) is your answer

Answer:

A. x=5

Step-by-step explanation:

This triangle is a right triangle. We know this because of the little square in the corner that represents a right angle. Therefore, we can use Pythagorean Theorem.

[tex]a^2+b^2=c^2[/tex]

where a and b are the legs and c is the hypotenuse.

We know that 4 and 3 are the legs, because they form the right angle. We also know that x is the hypotenuse, because it is opposite the right angle.

a=4

b=3

c=x

Substitute these values into the formula.

[tex]4^2+3^2=x^2[/tex]

Evaluate the exponents.

4^2 is the same as 4*4, which is 16.

3^2 is the same as 3*3, which is 9.

[tex]16+9=x^2[/tex]

Add 16 and 9.

[tex]25=x^2[/tex]

We are trying to find x, which means we have to get x alone. x is currently being squared. To undo this, take the square root of both sides. The exponent and square root will cancel, leaving x by itself.

[tex]\sqrt{25}=\sqrt{x^2}[/tex]

[tex]\sqrt{25}=x[/tex]

[tex]5=x[/tex]

Therefore the correct answer is A: x=5

Answer:

ratio

Step-by-step explanation:

Sign " : " is called Colon it represents the ratio, which is an ordered pair of a & b (b =! 0) which is a/b, represent as a:b.

The ratio is comparison of two quantities, usually by dividing them. By comparing one data point (A) to another data point (B), the formula would be A/B. This means you are dividing information A by information B.

Ratio data is a form of numeric data. It measures variables on a continuous scale, with an equal distance between adjacent values.

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Answer:

Indirect Variation

Step-by-step explanation:

Answer:

D.

Step-by-step explanation:

Bottom of the ladder is base, a = 3 ft

Top of the ladder from the ground is the perpendicular, b = 4 ft

We have to find the length of ladder, c = ?

So we'll use Pythagoras theorem

c² = a²+b²

c² = 3²+4²

c² = 9+16

c² = 25

Taking square root on both sides, we'll get

c = 5 feet

Answer:

Using pythagoras theorem

hypotenus^2=Adjacent^2+Opposite^2

H^2=3^2 + 4^2

H^2=9+16

H^2=25

H=square root of 25

H=5

Hope it helps.

The answer is 5 feet.

Answer:

The symmetric property of congruence is:

If ∠A ≅ ∠B, then ∠B ≅ ∠A.

If, AB ≅ CB, then CB ≅ AB.

Step-by-step explanation:

Two triangles are said to be congruent if they have the same three sides and the same three angles, not necessarily the same sides or the same angles are equal.

The properties of congruence are:

For all angles A, ∠A ≅ ∠A. That is, all angles are congruent to themselves.

If AB is side of a triangle then, AB ≅ AB.

For any angles A and B if, ∠A ≅ ∠B, then ∠B ≅ ∠A.

For sides AB and CB of a triangle if, AB ≅ CB, then CB ≅ AB.

For any angles A, B and C if, ∠A ≅ ∠B, and ∠B ≅ ∠C then ∠A ≅ ∠C.

For sides AB, CB and CA of a triangle if, AB ≅ CB, and CB ≅ CA, then AB ≅ CA.

Thus, the symmetric property of congruence is:

If ∠A ≅ ∠B, then ∠B ≅ ∠A.

If, AB ≅ CB, then CB ≅ AB.

Answer:

 y = 4

Step-by-step explanation:

The two given points both have the same y-value, so the line through them is a horizontal line. None of the answer choices is correct for the points given here.

Answer: median is 22.5

Step-by-step explanation:

Answer:

22.5

Step-by-step explanation:

median means middle and because there is 4 digits, you have to find the middle of 22 and 23 which is 22.5

Answer:

Graph A ; Option B

Step-by-step explanation:

Consider the criteria for the graph;

[tex]Criteria;\\\\Crosses Y - axis at Point - ( 0, - 7 ),\\Decreases Before Crossing Y - axis,\\Remains Constant after Crossing Y - axis,\\[/tex]

Now take a look at each option before us;

[tex]Graph A - \\1. Travels Down,\\2. Crosses Y - axis at Point ( 0, - 7 )\\3. Remains Constant\\\\Graph B - \\1. Travels Upward,\\2. Crosses Y - axis at Point ( 0, 7 )\\3. Remains Constant\\\\Graph C - \\1. Travels Down,\\2. Crosses Y - axis at Point ( 0, - 7 )\\3. Travels Upward[/tex]

Comparing the three, we conclude that Graph A meets the provided criteria, which confirms that it is the right answer;

[tex]Solution ; Graph A[/tex]

C Graph A is your answer

Answer:

x = 5/2       x = -4

Step-by-step explanation:

2x^2 + 3x – 20 = 0

Factor

(2x -5) (x+4) = 0

Using the zero product property

2x-5 =0     x+4 = 0

2x=5           x = -4

x = 5/2       x = -4

Answer:

the answer is D (the last one)

Step-by-step explanation:

Answer:

60

Step-by-step explanation:

5 x 4 x 3=60

Answer:

24 ways

Step-by-step explanation:

4x3x2

12x2

24