What is the domain of y = log: X?
all real numbers less than 0
O O O O
all real numbers greater than 0
all real numbers not equal to O
all real numbers
7

Answer:

11/8 or, 1 and 3/8

Step-by-step explanation:

First, we have to make both the denominators the same. In this case, we can multiply 3/4 by 2, to make 4, the denominator, into 8. What we do to the denominator, we must do to the numerator! So, we multiply 3 by 2, and get 6!

Now we have, 5/8 + 6/8, which equals 11/8! Which can also be simplified to 1 and 3/8 (because the numerator is larger than the denominator)

Hope this helps! :)

Answer:

19.49% probability that no more than 16 of them are strikes

Step-by-step explanation:

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

[tex]E(X) = np[/tex]

The standard deviation of the binomial distribution is:

[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]

Normal probability distribution

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

When we are approximating a binomial distribution to a normal one, we have that [tex]\mu = E(X)[/tex], [tex]\sigma = \sqrt{V(X)}[/tex].

In this problem, we have that:

[tex]n = 30, p = 0.626[/tex]

So

[tex]\mu = E(X) = np = 30*0.626 = 18.78[/tex]

[tex]\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{30*0.626*0.374} = 2.65[/tex]

What is the probability that no more than 16 of them are strikes?

Using continuity correction, this is [tex]P(X \leq 16 + 0.5) = P(X \leq 16.5)[/tex], which is the pvalue of Z when X = 16.5. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{16.5 - 18.78}{2.65}[/tex]

[tex]Z = -0.86[/tex]

[tex]Z = -0.86[/tex] has a pvalue of 0.1949

19.49% probability that no more than 16 of them are strikes

9514 1404 393

Answer:

  y -3 = -2(x +4)

Step-by-step explanation:

The slope of the given line is ...

  m = (y2 -y1)/(x2 -x1)

  m = (1 -(-3))/(4 -(-4)) = 4/8 = 1/2

The perpendicular line will have slope -1/(1/2) = -2.

__

The point-slope equation of the line with slope m through point (h, k) is ...

  y -k = m(x -h)

For point (-4, 3) and slope -2, the equation is ...

  y -3 = -2(x +4)

Answer:

Step-by-step explanation:

To find 5e. El change, find the difference between week 1 and 1.

56.92-(-16.54) = 56.92+16.54 = -73.46.

Note: this is negative, because we are calculating the difference.

Hope this helps

Answer:

A.

Step-by-step explanation:

BC ≅ EF

BC needs to be congruent to EF to show that ΔABC ≅ ΔDEF by SAS(Side -Angle-Side) Postulate.

Answer:

(22/7)/6=0.523809

Step-by-step explanation:

V=4/3πr^3

V=4/3π(1/2)^3=π/6

or (22/7)/6=0.523809

Answer:

ABC~WXY by AA

Step-by-step explanation:

In ΔABC

∠B = 90°

∠A = 27°

To Find ∠C

Angle sum property: The sum of all angles of triangle is 180°

∠A+∠B+∠C=180°

27°+90°+∠C=180°

∠C=180°-117°

∠C=63°

In ΔWXY

∠X = 90°

∠Y = 63°

We will use angle sum property

So, ∠W+∠Y+∠X=180°

90°+63°+∠W=180°

∠W=180°-(90°+63°)

∠W=27°

So, ∠A=∠W

∠B =∠X

∠C = ∠Y

So, ABC~WXY by Angle - Angle property.

Hence ABC~WXY by AA

Answer: she is 215m from her starting point

Step-by-step explanation:

The diagram representing the situation is shown in the attached photo. Triangle ABC is formed with AC representing her distance from her starting point.

Angle B = 28 + 90 = 118°

To determine AC, we would apply the law of Cosines which is expressed as

a² = b² + c² - 2abCosA

Where a,b and c are the length of each side of the triangle and B is the angle corresponding to b(AC). Likening the expression to the given triangle, it becomes

AC² = AB² + BC² - 2(AB × BC)CosAC

AC² = 60² + 180² - 2(60 × 180)Cos118

AC² = 3600 + 32400 - 21600Cos118

AC² = 36000 - 21600(-0.46947156)

AC² = 36000 + 10140.59

AC² = 46140.59

AC = √46140.59

AC = 215 m

Answer:

3600.

Step-by-step explanation:

8 =   2*2*2

12=   2*3

18=   2*3*3

30 =  2*3*5

The lowest common multiple of the these is

2 * 2 * 2 * 3*3* 5 = 360.

So the smallest square number = 2*2*2*2*3*3*5*5

(We make all the sets of factors a square).

So it's 16 * 9 * 25 = 3600.

Answer:

3600

Step-by-step explanation:

Answer:

x = 55 degrees

Step-by-step explanation:

Angles of a triangle add up to 180 degree so we'll simply subtract the rest of the angles from 180 to get the value of x.

=> x = 180-75-50

=> x = 55 degrees

Answer:

55

Step-by-step explanation:

The sum of angles triangles will always be 180

75 + 50 is 135

180-35 = 55

Answer:

[tex]x = 6[/tex]

Step-by-step explanation:

Given

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

Required

Determine the x intercept

To get the value of x intercept; we simply substitute 0 for y;

i.e. y = 0

[tex]2y-x=-6[/tex] becomes

[tex]2(0)-x=-6[/tex]

[tex]0-x=-6[/tex]

[tex]-x=-6[/tex]

Multiply both sides by -1

[tex]-1 * -x=-6 * -1[/tex]

[tex]x=-6 * -1[/tex]

[tex]x = 6[/tex]

Hence, the x intercept is 6

Answer:

can be parallelogram as parallelogram has 2 pairs of parallel sides . this means angles of 2 sides will be the same

Answer:

this question is roung

Answer:

Ray KM is an angle bisector of [tex]\angle NKL[/tex].

Step-by-step explanation:

Given that there are 4 lines that are extended from a point K.

Angle between KJ and KN is [tex]58^\circ[/tex] i.e. [tex]\angle JKN =[/tex] [tex]58^\circ[/tex]

Angle between KN and KM is [tex]61^\circ[/tex] i.e.  [tex]\angle NKM =[/tex] [tex]61^\circ[/tex].

Angle between KM and KL is [tex]61^\circ[/tex] i.e.  [tex]\angle MKL =[/tex] [tex]61^\circ[/tex]

Please refer to the attached image for the conditions and dimensions of angles given in the question statement.

Now, let us have a look at the options given:

1. Point K is a midpoint of Line segment JL

JL is not a straight line first of all, and secondly there is no condition given about the line segments.

So, it is incorrect.

2. [tex]m \angle JKN = \dfrac{1}{2}m \angle JKM[/tex]

[tex]\angle JKN =[/tex] [tex]58^\circ[/tex] and

[tex]m \angle JKM =58+61=139^\circ\\\Rightarrow \dfrac{1}{2} m \angle JKM = 64.5^\circ[/tex]

So, it is also incorrect.

3. Ray KM is an angle bisector of [tex]\angle NKL[/tex].

Ray KM divides the [tex]\angle NKL[/tex] into two equal angles [tex]\angle NKM =[/tex] [tex]61^\circ[/tex] and [tex]\angle MKL =[/tex] [tex]61^\circ[/tex] so it is correct.

Answer:

[tex]n^2+3[/tex]

Step-by-step explanation:

4, 7, 12, 19, 28

The differences are 7-4=3, 12-7=5, 19-12=7, 28-19=9.

This is an arithmetic sequence since the differences are constant.

There must be [tex]n^2[/tex] in the nth term.

These are the next terms in the sequence:

4, 7, 12, 19, 28, 39, 52, 67, 84, 103, 124, 147, 172, 199, 228, 259, 292, 327, 364, 403, 444, 487, 532, 579, 628, 679, 732, 787, 844, 903, 964, 1027, 1092, 1159, 1228, 1299, 1372, 1447..

[tex]n^2 +c=4[/tex]

[tex]1^2+c=4[/tex]

[tex]c=4-1[/tex]

[tex]c=3[/tex]

Therefore, the nth term is [tex]n^2+3[/tex].

Answer:

nth term = n^2 + 3.

Step-by-step explanation:

4 7 12 19 28

The differences  are in an arithmetic sequence so this is a quadratic sequence,

- the differences are 3, 5, 7, 9... which is an A.S.

The  common difference of the A.S. is 2 so there is n^2 in the formula for the nth term.

By inspection , we see that each term is 3 more than  the term number squared.

1^2 + 3 = 4

2^2 + 3 = 7

3^2 + 3 = 12  

4^2 + 3 = 19   and so on.

Answer:

16x + 8y -3/2

Step-by-step explanation:

The expression can be represented mathematically as follows.

-2(-8x - 4y + 3/4) = - 10x - 8y - 1 1/4

-2(-8x - 4y + 3/4) = - 10x - 8y - 5/4

The first way to solve this expression is by opening the bracket by multiplying the outside values by the inner values.

-2(-8x - 4y + 3/4)

Multiply -2 by all the values in the brackets

-2 × - 8x = 16x not - 10x

-2 × - 4y = 8y not -8y

-2 × 3/4 = -6/4 = - 3/2  not -5/4

Bringing the value together the expected answer will be 16x + 8y -3/2 and not  - 10x - 8y - 5/4.

Answer

A, B, and C

Step-by-step explanation:

Hope this helps!

Answer:

[tex]6\frac{8}{9} (1\frac{9}{10}) = 13[/tex]

Step-by-step explanation:

Given

[tex]6\frac{8}{9} (1\frac{9}{10})[/tex]

Required

Estimate

To do this; we start by converting both fractions to improper fraction

[tex]6\frac{8}{9} (1\frac{9}{10})[/tex]

[tex]\frac{62}{9} (1\frac{9}{10})[/tex]

[tex]\frac{62}{9} (\frac{19}{10})[/tex]

Open Bracket

[tex]\frac{62}{9} * \frac{19}{10}[/tex]

Combine to form a single fraction

[tex]\frac{62 * 19}{9 * 10}[/tex]

Multiply numerators and denominators

[tex]\frac{1178}{90}[/tex]

Convert fraction to decimal

[tex]13.0888888889[/tex]

Approximate to nearest whole number

[tex]13[/tex]

Hence, [tex]6\frac{8}{9} (1\frac{9}{10}) = 13[/tex]

Answer:

First box: 14

Second box: greater than

Third box: both factors were rounded up.

Step-by-step explanation:

I JUST DID IT AND GOT IT RIGHT!

HOPE IT HELPS!

Answer:

$0.40 per oz

Step-by-step explanation:

given that the cereal is $3.60 for a 9 oz box

i.e

9 oz ----> costs $3.60

1 oz ----> costs $3.60 ÷ 9 = $0.40

hence the unit rate is $0.40 per oz

Answer:

0.40 per ounce

Step-by-step explanation:

The question asks is to find the unit rate, or price per ounce.

To find this, we need to divide the price by the number of ounces.

price/ ounces

It costs $3.60 for 9 ounces of cereal.

$3.60/9 ounces

Divide $3.60 by 9 (3.60/9=0.4)

$0.4/ounce

It costs $0.40 per ounce of cereal.

Answer:

2 and 30

Step-by-step explanation:

2/3=20/30

2 and 30 means the extremes and 3 and 20 are the means

Answer:

[tex]Total = 7\frac{1}{2} cups[/tex]

Step-by-step explanation:

Given

Initially, he drank 3 pints of water

Then, [tex]1\frac{1}{2}[/tex] more cups

Required

How many cups did Ian drink altogether

This question can be solved by adding the size of water he drank during the hike and when he got home

i.e.

[tex]Total = 3\ pints + 1\frac{1}{2} cups[/tex]

But the answer should be in cups;

So, number of pints has to be converted to number cups

Given that 1 pint = 2 cups;

3 pints will be 3 * 2 cups

3 pints = 6 cups;

So,

[tex]Total = 3\ pints + 1\frac{1}{2} cups[/tex]

[tex]Total = 6\ cups + 1\frac{1}{2} cups[/tex]

[tex]Total = 7\frac{1}{2} cups[/tex]

Altogether, he drank [tex]7\frac{1}{2} cups[/tex] of water

Answer:

Reebs have 1 right angle

Step-by-step explanation:

Look at all the reebs. They all have 1 right angle!

Answer:

C

Step-by-step explanation:

Answer:

Graph C

Step-by-step explanation:

The slope is 2 and to find the numbers in the equation are actually the opposite of what they appear, making the point (-2,1).

Answer:

B.

Step-by-step explanation:

A =  C = 40°

40+40+ 4x = 180

4x = 100

x = 25°

Answer:

x = 59/7, y = -15/7

Step-by-step explanation:

4x= 2y + 38;

2 - 3y=x

We can substitute for x  in the first equation since the second equation is solved for x

4(2-3y) = 2y+38

Distribute

8 - 12y = 2y+38

Add 12y to each side

8-12y+12y = 2y+12y+38

8 = 14y+38

Subtract 38 from each side

-30 = 14y

Divide by 14

-30/14 = y

-15/7 = y

Now solve for x

2 - 3y = x

2 - 3*-15/7 = x

2 +45/7 = x

14/7 + 45/7 = x

59/7 =x

Answer:

B. points C, F and G

Step-by-step explanation:

B. Points G C F

Answer:given below

Step-by-step explanation:

sqrt x^2 +81= x + 10

x^2 + 81 = (x+10)^2

x^2 + 81 = x^2 + 20x + 100

so answer is:  

x^2 + 81 = x^2 +20x + 100

..HOPE IT HELPS YOU...ALL THE BEST

Answer:

The answer is D on egdge2020

Answer:

5

Step-by-step explanation:

The product of 6 and 7 is 42.

Let x be the number of times needed to add 5 to 17 to reach 42.

17 + 5x = 42

5x = 42 - 17

5x = 25

x = 5

Answer: I’m pretty sure it’s 5

Step-by-step explanation: