In a survey of 164 pet owners, 61 said they own a dog, and 66 said they own a cat. 11 said they own both a dog and a cat. How many owned neither a cat nor a dog?

Answer: Width = 3.4 meters, Length = 6.4 meters

Step-by-step explanation:

If the width is [tex]w[/tex], then the length is [tex]w+3[/tex].

[tex]w(w+3)=22\\\\w^2 +3w=22\\\\w^2 +3w-22=0\\ \\ w=\frac{-3 \pm \sqrt{3^2 -4(1)(-22)}}{2(1)}\\\\w \approx 3.4 \text{ } (w > 0)\\\\\implies w+3 \approx 6.4[/tex]

The domain of a function is the value x that varies.

here x is varying from -4 and it is going to infinity

so the answer is

the domain for the given graph is

So the answer is option (A).

Answer:

55% decay, the other guy is wrong

Step-by-step explanation:

Trust me

Solving the equations for the total number of adults and children and respective ticket costs, we find out that the number of adults and children that attended the movie theater are 13 adults and 6 children.

It is given to us that -

A total of 19 people attended the movie theater which was a mix of adults and children

Each adult ticket was $9

Each child’s ticket was $5.50.

Total cost for the party was $150

We have to find out the number of adults and children that attended the movie theater.

Let us assume that the number of adults and children that attended the movie theater be [tex]x[/tex] and [tex]y[/tex] respectively.

Since, a total of 19 people attended the movie theater including both adults and children, we can say that -

[tex]x+y=19[/tex] ------ (1)

It is also given that each adult ticket was $9 and each child’s ticket was $5.50. So,

For [tex]x[/tex] adults, the ticket price = [tex]9x[/tex], and

For [tex]y[/tex] children, the ticket price = [tex]5.5y[/tex]

It is given that the total cost for the party was $150

[tex]= > 9x+5.5y=150[/tex] ------- (2)

From equation (1), we have

[tex]x+y=19\\= > y =19-x[/tex] ------ (3)

Substituting this value of [tex]y[/tex] in equation (2),

[tex]= > 9x+5.5y=150\\= > 9x+5.5(19-x)=150\\= > 9x +104.5-5.5x=150\\= > 3.5x=45.5\\= > x=13[/tex]------ (4)

Substituting this value of [tex]x[/tex] from equation (4) in equation (3), we get

[tex]y=19-x\\= > y=19-13\\= > y=6[/tex]

Thus, solving the equations, we find out that the number of adults and children that attended the movie theater are 13 adults and 6 children.

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Answer:

Annual Salary: $50,869

Semimonthly Salary: $1,956.50

Step-by-step explanation:

Semimonthly: Occurs twice a month

52 weeks in a year times weekly salary

978.25 x 52= 50,869

978.25 x 2= 1,956.50

The unit rate is $0.015 per tissue

The total number of tissues in the box = 210 tissues

The cost of 210 tissues = $3.19

Here we have to apply the unitary method

The unitary method is defined as the method of finding the value of the single unit. The value of the single unit is call the unit rate

Then the unit rate of tissue = The cost of 210 tissues / The total number of tissues in the box

Substitute the values in the equation

The unit rate = 3.19 / 210

= $0.015 per tissue

Hence, the unit rate is $0.015 per tissue

The complete question is :

Express the rate as unit rate, a box of 210 tissues for $3.19

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The general form of a quadratic polynomial is given by:

You have the following quadratic expression:

In order to factorize the previous expression, you first use the quadratic formula, which is given by;

where a = 5, b = -17, c = -40. You replace these values into the quadratic formula:

The factors of the quadratic polynomial, based on the previous calculated zeros of the piolynomial are as follow:

For this problem, we are given two circles, M and N, that are related by a scale factor of 3, we know that the circumference of the larger circle is 6 cm, and we need to determine the circumference of the smaller one.

The circumference of a circle can be found by using the following expression:

Where 'r' is the radius. When the circles are scaled, their radii should be scaled at the same proportion, so the following demonstrates the relation between both radii:

We know that the circumference for the circle N is equal to 6 cm, therefore we have:

If we replace the radius for circle n, with the second expression, we will obtain:

Circle M's circumference is equal to 2 cm.

Answer:

2cm

Step-by-step explanation:

I Just Took the Test.

A histogram with a symmetric distribution looks like this:

Leaving aside the quality of the drawing, the left and the right side of the histogram are identical if we split it by the red line. Is like having a reflexion axis.

Now, we have to discuss what of the 2 data sets may have such an histogram. This means that we must think which of them may have the same number of ocurrences for very short and very long durations, for regular to short and regular to long durations, and so on and so furth.

Pop album tracks:

In the same album we may have arround 12 tracks (small number), all of them with a duration of arround 3 minutes. We could imagine a histogram like the following:

All the songs last between 170 and 190 seconds, and one or two last a little bit more.

Phone talks:

In this case, we can think that there are some calls to say something like "mom, I'm on my way home" and other like "let me tell you the hole movie I saw yesterday night", so very short and very long calls, but they are no so common. There are a lot of "regular" calls that might last for 60 seconds.

Also, in this case, we are taking into account all the calls from people in the school in one day (yesterday), so, may be 1.000 calls? The actual number really doesn't matter, but the fact that the number is very big. Because of the big number, we can expect a symmetric distribution.

⇒The measure of an exterior angle is equal to the sum of the measures of the two remote interior angles of the triangle.

[tex]2a=(a+10)+44\\2a=a+54\\2a-a=54\\a=54[/tex]

⇒The exterior angle in this case NOTE IT IS 2a NOT a

⇒Therefore Exterior angle is =2(54°)

=108°

The answer is 108°

Answer:

68°

Step-by-step explanation:

We know that,

  the exterior angle of a triangle is equal to the sum of the interior opposite angles of a triangle.

Accordingly,

44 + a + 10 = 2a

First, subtract a from both sides.

44 + 10 = 2a - a

34 = a

Now let us find the measure of the exterior angle.

2a

2 × 34

68°

The rate per hour of the water level change will be 0.75 inches/hour.

It is defined as the change in values of a dependent variable with respect to the independent variables. It is also used to find the unit rate for many conditions.

It is given that, A swimming pool is being filled with a hose. The hose fills the pool at a constant rate. The pool's water level rose 9 inches in 12 hours.

The unit rate is obtained as,

=9 inches / 12 hours

=0.75 inches/hour.

Thus, the rate per hour of the water level change will be 0.75 inches/hour.

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Answer:

Explanation:

Here, we want to get the domain of the given function

We start by dividing the two as follows:

The domain refers to the possible x-values

To get that, we need to solve the quadratic equation in the denominator

We have that as:

So, we have the domain as:

The constant of variation for the given direct variation is 2.

So, the origin (0, 0) and the supplied line are intersected by it (3, 6)

Slope formula: m = y2 - y1/x2 - x1

Where,

Substitute values as follows:

Therefore, the constant of variation for the given direct variation is 2.

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Correct question:

Determine the constant of variation for the direct variation given.

A. 1/2

B. 1

C. 2

We have the next numbers

And we must put them in order least to greatest​

In order to put them in order we can write all numbers as percents

- 1/3

- 0.3

- 8/25

Now, we have all numbers in percents. So we can order them

30% -> 32% -> 33% -> 33.333% -> 33.6%

Height of nth stair from the ground be 18n.

What do you mean by airthmetic sequence?

A sequence of the form a, a + d, a + 2d, a + 3d, a + 4d, etc. is an arithmetic sequence.

The common difference of the sequence is d, and the number  a is the first term. [tex]a_{n}[/tex]  = a + (n - 1)d is the formula for an arithmetic sequence's nth term.

The common difference, or d, is the difference between any two consecutive terms in an arithmetic sequence, and it may be calculated by deducting any pair of terms beginning with a and ending with [tex]a_{n+1}[/tex] Accordingly, d = [tex]a_{n+1}[/tex]  - [tex]a_{n}[/tex]

It is given that height of each stair is 18 cm

Height of first stair = 18 cm

Height of second stair = 18 + 18 = 36 cm

Height of third stair = 36 + 18 = 54 cm

and so on.

This data will make a sequence such as 18 , 36 , 54 , 72 ..........

Here first term , a = 18

Common difference , d = 36 - 18 = 18

For the height of nth stair , use the formula of [tex]a_{n}[/tex]

[tex]a_{n}[/tex] = a + (n-1) d

where a is the first term , d id the common difference and n is the number of terms

Here, [tex]a_{n}[/tex] = 18 + (n-1)18 = 18 + 18n - 18 = 18n

Hence, height of nth stair from the ground be 18n .  

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Answer:   y = 3(x-3)^2-4

==================================================

Explanation:

The graph of y = 3x^2 has (0,0) as the vertex.

To move from (0,0) to (3,-4) we will shift 3 units right and 4 units down.

Therefore, we will have y = 3(x-3)^2-4 as the answer

It is of the form y = a(x-h)^2+k with (h,k) being the vertex.

The 'a' value out front vertically stretches or compresses the parabola. Also if a > 0, then the parabola opens upward; or if a < 0, then the parabola opens downward.

We keep the same value of 'a' so that both parabolas have the same shape.

1) Given the altitude BD, let's find its measure using some trigonometric relations on the Right Triangle:

1.2) Pythagorean Theorem to find the other leg

b²=a²+c² The hypotenuse, in this case, is labeled as "b"

32²=16²+a²

1024=256+a²

1024-256=a²

768=a²

√768=√c²

a=16√3

2) Now, let's use one trigonometric relation on the Right Triangle, based on the similarity of the triangles:

ah=bc Adjusting it:

bh=ac

32h=16√3*16

32h=256√3

h=256√3/32

h=8√3 ≈ 13.85 ≈13.9

3) So the altitude BC of that triangle is approximately 13.9

The function y=3[tex](7/5)^t[/tex] In the function f (x) = bx when b > 1, the function represents exponential growth represents  exponential growth.

Therefore,

The function y=3[tex](7/5)^t[/tex] In the function f (x) = bx when b > 1, the function represents exponential growth represents  exponential growth.

Exponential growth and decay are the two different kinds of exponential functions.

When b > 1, the function

f (x) = bx represents exponential development.

If 0 b 1, then the function

f (x) = bx depicts exponential decay.

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{12 , 24} are the integers from the set S which makes the inequality 4(j − 2) > 4(6 − 3j} true.

Inequality are those mathematical expression where both the sides are not equal . Instead of equality sign , we use less than or greater than sign.

Given inequality is

4(j − 2) > 4(6 − 3j}

open the brackets ,

4j − 8 > 24 − 12j

bring right terms on left side,

4j − 8 - 24 + 12j > 0

adding j terms,

16j - 32 > 0

16j >32

j > 32/16

j > 2

Integers making inequality true should be greater than 2

From set S: {-2 , 2, 12, 24}

{12 , 24 } are integers that makes inequality 4(j − 2) > 4(6 − 3j) True .

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Answer:

False

Step-by-step explanation:

The price of the cheaper vehicle, given the total price of the two cars can be found to be $40, 500

Assuming the price of the cheaper car is denoted as x, the formula for the price of the more expensive car would be:

= Price of cheaper car + $6, 000

= 6, 000 + x

Finding the value of the cheaper car in the dealership can be found by the formula:

x + (6, 000 + x) = 87, 000

2x + 6, 000 = 87, 000

2x = 87, 000 - 6, 000

x = 81, 000 / 2

x = $40, 500

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It is as simple as adding the probability of each event and then subtracting the probability of both events occurring to calculate the probability of either one of two events occurring: P(A or B) = P(A) + P(B) - P(A or B)

What are the  addition Rule probability of two or more events occurring .

P (A or B) denotes the probability of two or more events occurring. The symbol represents the outcomes of event A or event B and means "union" (or both).

P(A) = P(A) + P(B) - P(AB)

The events have no outcomes in common if they are mutually exclusive (disjoint).

Then P(A) = 0.

Here are some simple examples to get you started...

A box includes three glazed doughnuts, four jelly doughnuts, and five chocolate doughnuts. Determine the probability that a person will choose a glazed doughnut or a chocolate doughnut at random.

If the two events are mutually exclusive (also known as disjoint), they cannot both occur!

If neither can happen, P(A and B) is 0. Therefore,

P(A) + P(B) = P(A) + P(B).

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Given:

P(3, -2)

m = -2

The linear equation is of the form y = mx + b where m is the slope and b is y-intercept. So we find b:

Therefore, the equation is:

Graphing:

Answer:  y-intercept (0,5)

slope is -1/2

Step-by-step explanation:

Just put it on a graph.

Answer:

x=25

Step-by-step explanation:

0.3x = 5+0.1x

0.3x-0.1x = 5

0.2x = 5

x = 5/0.2

x= 50/2

x=25

37 degrees plus m mus equal 90 degrees; therefore, the equation that m must satisfy is

subtracting 37 from both sides of the equation gives us

Notice that:

Therefore:

Grouping like terms we get:

Answer:

Let x be the amount invested at 9% and y the amount invested at 6%.

Then we have:

I) x + y = $14,929

II) 0.09x - 0.06y = $1,139.91

First, we multiply equation II by 100:

9x - 6y = $113,991

Now, we add to it 6 times equation I:

15x = $203,565

x = $13,571

Now, we replace x in equation I to find y:

$13,571 + y = 14,929

y = $1,358

The value of the exponent is  80000000000.

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Answer: 48 cents on each twix bar

Step-by-step explanation: divide 12 by 25, which would come out to 0.48, to ensure this is correct you can multiply 0.48x25 and it would be 12

he spent 48 cents on each twix bar

(division)