Find the 67th term of the following arithmetic sequence.
5, 11, 17, 23, ??

Answer:

m<1 = 118

Step-by-step explanation:

The remote angles theorem states that when one extends one of the sides of a triangle, the sum of the two non-adjacent angles is equal to the measure of the angle between the extension of the side and a side of a triangle. One can apply this theorem here by stating that

(28) + (90) = m<1

Remember, a box around an angle signifies that its measure is (90) degrees.

Solve this problem by performing the operation,

118 = m<1

Answer:

1a. [tex]\frac{3}{4}[/tex]

1b. [tex]\frac{7}{10}[/tex]

1c. [tex]\frac{3}{10}[/tex]

1d. [tex]\frac{1}{3}[/tex]

2a. [tex]\frac{3}{4}[/tex]

2b. [tex]\frac{1}{5}[/tex]

2c. [tex]\frac{3}{10}[/tex]

2d. [tex]\frac{9}{10}[/tex]

2e. [tex]\frac{1}{20}[/tex]

3. [tex]\frac{1}{8}[/tex]

Answer:

0 onto functions

Step-by-step explanation:

Let the sets be [tex]A\ and\ B[/tex] such that:

[tex]n(A) = 3[/tex]

[tex]n(B) = 8[/tex]

Required

The number of onto functions

The condition for onto functions is:

For there to be an onto function from set A to set B, the number of elements of B must be less than the elements in set A

Since n(B) > n(A) i.e. 8 > 3

Then, there can't be onto functions from A to B

Answer:

68% of the individuals in the population have an IQ between 85 and 115.  95% of the population has IQ scores between 70 and 130. 99.7% of the population has IQ scores between 55 and 145.

Step-by-step explanation:

Answer:

First coin Second coin outcome

H T HT

T H TH

T T TT

Step-by-step explanation:

First coin     Second coin             outcome

H               T                               HT

T               H                               TH

T               T                                TT

Answer:

90 units sold per hour

Step-by-step explanation:

1/60 of an hour is one minute

1 1/2 is how much it is per minute

1 1/2*60=90

Answer:

The answer is 3/4

Step-by-step explanation:

When you divide two fractions, such as 1/2 ÷ 2/3, you have to flip the second fraction and then you simply multiply the numerators with each other and the denominator with each other.

Answer:

9

Step-by-step explanation:

At x=0, this function's y-value is simply 10. At x=2, the y-value is 28.

We can figure this out by using the slope formula.

[tex](y^2-y^1)/(x^2-x^1)[/tex]

We plug in values to get:

[tex](28-10)/(2-0)[/tex]

18 / 2

9

Answer:

It should be random (i think I don't know)

Step-by-step explanation:

Answer:

Yes it is biased

Step-by-step explanation:

Because instead of selecting a random variety of people they chose ones that are using their service...meaning they probably like the service. (I mean why else would they have it then)

Have a great day.

Answer:

B. or the second one

Step-by-step explanation:

Answer:

I believe this could happen 27 different ways.

Step-by-step explanation:

Answer:

33.75 miles

Step-by-step explanation:

[tex]\frac{1}{15} :\frac{2.25}{y}[/tex]

1 × y = 2.25 × 15

y = 33.75

Answer:

The corresponding p - value will be  is < 0.00001 which is less than 0.05

Step-by-step explanation:

Suppose p= 0.12 and n= 540 then the standard deviation can be taken out as √p(1-p)/n= √0.12(1-0.12)/540= 0.014

For the probability that the survey will provide a sample proportion within 6.03 of the population proportion

we will find the z statistic

z= p^-p/√p(1-p)/n

But √p(1-p)/n= 0.014 and p^-p= 6.03

Putting the values

z= 6.03/0.014= 430.71

The corresponding p - value will be  is < 0.00001 which is less than 0.05

Given:

[tex]sinh(f(x))=1+x^2[/tex]

To find:

The value of f'(x).

Solution:

Formulae used:

[tex]\dfrac{d}{dx}sinh(x)=cosh(x)[/tex]

[tex]\dfrac{d}{dx}x^n=nx^{n-1}[/tex]

[tex]\dfrac{d}{dx}C=0[/tex]

Chain rule:

[tex]\dfrac{d}{dx}[f(g(x))]=f'(g(x))g'(x)[/tex]

Where C is an arbitrary constant.

We have,

[tex]sinh(f(x))=1+x^2[/tex]

Differentiate with respect to x.

[tex]cosh(f(x))f'(x)=0+2x[/tex]

[tex]f'(x)=\dfrac{2x}{cosh(f(x))}[/tex]

Therefore, the required values is [tex]f'(x)=\dfrac{2x}{cosh(f(x))}[/tex].

Answer: 0.00000220524

Step-by-step explanation:

Given:

[tex]y=f(x)[/tex]

[tex]f(x)=\dfrac{1}{2}x-3[/tex]

To find:

The input when the output is – 3.

Solution:

We have,

[tex]f(x)=\dfrac{1}{2}x-3[/tex]

Substituting [tex]f(x)=y[/tex], we get

[tex]y=\dfrac{1}{2}x-3[/tex]               ...(i)

We need to find the input when the output is – 3. It means, we have to find the value of x when [tex]y=-3[/tex].

Putting [tex]y=-3[/tex] in (i), we get

[tex]-3=\dfrac{1}{2}x-3[/tex]

[tex]-3+3=\dfrac{1}{2}x[/tex]

[tex]0=\dfrac{1}{2}x[/tex]

Multiply both sides by 2.

[tex]0=x[/tex]

Therefore, the input is 0 when the output is -3.

Answer:

17) [tex]- \frac{3}{2}[/tex]

18) [tex]\frac{5}{4}[/tex]

19) [tex]-\frac{1}{2}[/tex]

20) [tex]\frac{2}{5}[/tex]

Step-by-step explanation:

Slope intercept form: y = mx + b

y = (x , y)

x = (x , y)

slope = m

b = y-intercept

~

PEMDAS is the order of operations, and stands for:

Parenthesis

Exponents (& Roots)

Multiplication

Division

Addition

Subtraction

~

17) -4y + 16 = 6x

Isolate the variable, y. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

First, subtract 16 from both sides of the equation:

-4y + 16 (-16) = 6x (-16)

-4y = 6x- 16

Next, divide -4 from both sides of the equation:

(-4y)/-4 = (6x - 16)/-4

y = (6x)/-4 + (-16)/-4

y = -3x/2 + 4

Slope: [tex]-\frac{3}{2}[/tex]

~

18) 0 = -12y -36 + 15x

Isolate the variable, y. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

First, add 12y to both sides of the equation:

0 (+12y) =  - 12y (+12y) + 15x - 36

12y = 15x - 36

Next, divide 12 from both sides of the equation to isolate the variable, y:

(12y)/12 = (15x - 36)/12

y = (5/4)x - 3

Slope: [tex]\frac{5}{4}[/tex]

~

19) 3x = -6y

Isolate the variable, y. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

Divide -6 from both sides of the equation:

(3x)/-6 = (-6y)/-6

y = 3x/-6

y = -(3/6)x

Simplify. Divide common factors from both the numerator and denominator.

-(3/6)/(3/3) = - 1/2

Slope: [tex]-\frac{1}{2}[/tex]

~

20) -2x -5 = -5y

Isolate the variable, y. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

Divide -5 from both sides of the equation:

(-2x - 5)/-5 = (-5y)/-5

y = (-2x - 5)/-5

y = (2/5)x + 1

Slope: [tex]\frac{2}{5}[/tex]

Answer:

The answer is number 7

Step-by-step explanation:

56÷8=7

n= 7

Answer:

9 pizzas total were bought for a party. Maya ate 1/3 of a pizza. John ate 4/9 of the same pizza. How much pizza is left?

Answer: 74/9 or 8.2

Step-by-step explanation:

first add 4/9 and 1/3 since it's in parenthesis

4/9+1/3

they need to have the same denominator, use the LCM (which is 9)

multiply 1/3 by 3 to achieve the LCM

4/9+3/9

add together numerators

7/9

subtract 7/9 from 9

9/1-7/9

get 9 to achieve the LCM (which is 9 again)

multiply 9/1 by 9

81/9 minus 7/9= 74/9

Answer:

8 cm

Step-by-step explanation:

The area of the shaded portion is:

[tex]a = \pi \times (( {r1)}^{2} - {(r2}^{2})) [/tex]

A=39π cm^2

r1 is the radius of the large circle

r2=5 cm

So,

[tex]39\pi = \pi \times (( {r1)}^{2} - {5}^{2} ) \\ r1 = 8 \: cm[/tex]

Answer: B.

Step-by-step explanation: took the quiz.

The probability that the sum is greater than 12 is  [tex]\frac{2}{3}[/tex].  The probability the product is 72 is [tex]\frac{1}{6}[/tex].

Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event. For an experiment having 'n' number of outcomes, the number of favorable outcomes can be denoted by x. The formula to calculate the probability of an event is as follows.

Probability(Event) = Favorable Outcomes/Total Outcomes

The outcomes that the sum is greater than 12

6 and 12, 6 and 15, 12 and 15, 0 and 15

So the probability that the sum is greater than 12 is

= [tex]\frac{4}{C^{2} _{4} }[/tex]

= [tex]\frac{4}{6}[/tex]

= [tex]\frac{2}{3}[/tex]

The outcomes that the product is 72: 6 and 12

So the probability is

= [tex]\frac{1}{C^{2} _{4} }[/tex]

= [tex]\frac{1}{6}[/tex]

Hence, the probability that the sum is greater than 12 is  [tex]\frac{2}{3}[/tex].  The probability the product is 72 is [tex]\frac{1}{6}[/tex].

Find out more information about probability here

https://brainly.com/question/11234923

#SPJ2

Answer:

Hello! answer: 12.56

Step-by-step explanation:

Area for circles is found be doing

radius × radius × pi since we arent given radius we have to figure it out. But what we do know it diameter is just 2 times the radius so to undo that to find our radius we just do 4 ÷ 2 and 4 ÷ 2 = 2 so 2 is our radius now we will square it which is just fancy for multiply is by itself so 2 × 2 = 4

4 × 3.14 = 12.56 So 12.56 is our area! Hope this helps you!

Answer:

No

Step-by-step explanation:

it doesnt add up to 180 degrees

Use the triangle inequality theorem.

Add two sides together and see if it is greater than the length of the 3rd side:

28 + 41 = 69 which is greater than 13

41 + 13 = 54 which is greater than 28

28 + 13 = 41 this is equal to the 3rd side length of 41 and not greater than 41

Because 28 + 13 is not greater than 41 those 3 lengths cannot make a triangle.

Answer:

b= 7

Step-by-step explanation:

Answer:

4.2=420/100

4.2-4.2=0

7/20=x/100

x=5×7=35