You accidentally dialed one number on your phone’s keypad. Find the probability that the number you dialed is greater than or equal to 0

Answer:

(−∞, 31/5) or x <31/5 (the graph will start a little bit past 6 and will be a open circle and head to the left)

Answer:

x< 6\(\frac{1}{5}\)

Step-by-step explanation:

7<-5(x -8) - 2  Distribute the 5

7<-5x + 40 - 2

7<-5x +38  Subtract 38 from both sides

-31<-5x  Divide both sides by -5

\(\frac{31}{5}\) >x  When you divide both sides by a negative number, you must flip the sign.

or

x < 6 \(\frac{1}{5}\)

The zeros with each multiplicity are given as follows:

The factor theorem is used to define the functions, which states that the function is defined as a product of it's linear factors, if x = a is a root, then x - a is a linear factor of the function.

Considering the linear factors of the function in this problem, the zeros are given as follows:

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The incorrect statement is

In mathematics, dilation can be defined as a transformation which alters the size of an object, though its shape remains unchanged. It is described as a specific similarity transformation where all dimensions associated with the given object (i.e. height, width and length) are increased or decreased uniformly by a particular scale factor.

A dilation thus produces an alteration in size, with the figure being either magnified or diminished while keeping its unique shape intact.

The scale factor used in the dilation is 9/7 instead of 7/3.

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Answer: x= 2/5, 20

Step-by-step explanation:

5x+8=10

1. subtract 8 on both sides

   5x = 2

2. divide 5 on both sides

    x  = 2/5

10x+16

x = 2/5

1. substiuite x for 2/5

10 times 2/5 +16

4 + 16

= 20

The corresponding height of similar rectangular prism m is 9 centimeter.

Given that, the volume of rectangular prism m is 17 cm³ and the volume of rectangular prism n is 136 cm³.

If two solids are similar, then the ratio of their volumes is equal to the cube of the ratio of their corresponding linear measures.

The height of n is 18 cm.

Here, m³/n³ = 17/136

m³/18³ = 17/136

m³/18³ = 17/136

(m/18)³ = 1/8

(m/18)³ = (1/2)³

m/18 = 1/2

m=9 cm

Therefore, the corresponding height of similar rectangular prism m is 9 centimeter.

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Answer: search

Step-by-step explanation: look up the question on your browser and the answer will pop up

Answer:

1/4

Step-by-step explanation:

Answer:

1/4

Step-by-step explanation:

1/8+1/8=2/8 simplified its 1/4 but if you dont want it simplified its 2/8

Answer:

Chen family used the sprinklers for 25 hours

Aoki family used the sprinklers for 40 hours

Step-by-step explanation:

Let C be the number of hours the Chen family used the sprinklers and let A be the number of hours the Aoki family used the sprinklers

Total hours used

=> C + A = 65 (1)

Total water usage for Chen family = 40C  (40 L per hour x no. hour)
Total water usage for Aoki family = 25C    (25 L per hour x no. hours)

Total used by both families = 2000 L

So
40C + 25A = 2000           (2)

Therefore we have two equations in 2 variables which can be solved simultaneously

Multiply (1) by 25:
==> 25C + 25A = 25 x 65
==> 25C + 25A = 1,625   (3)

Subtract (3) from (2) to eliminate the A term:
(2) - (3) ==>
40C + 25A - (25C + 25A ) = 2000 - 1625

40C + 25A - 25C - 25A = 375
40C - 25C = 375
15C = 375
C = 375/15

C = 25
So the Chen family used the sprinklers for 25 hours

Since C + A = 65
A = 65 - C
==> A = 65 - 25
A = 40
The Aoki family used the sprinklers for 40 hours

Answer:

15√3

Step-by-step explanation:

√ 15 ⋅ √ 45

Because both of them have the same base is the square root of two, we can combine them

√15 ⋅ 45

√675

Next, we factor √675 out and get

√15^2 ⋅ 3

= 15√3

So, the answer is  15√3

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To solve for y, we need to isolate y on one side of the equation. We can do this by subtracting 3x from both sides of the equation:

3x + y - 3x = 3 - 3x

Simplifying the left side gives:

y = 3 - 3x

So the solution for y is:

y = -3x + 3

Therefore, y is equal to negative 3 times x plus 3.

4.)

A.)

P = 140

i = 0.05

B.)

140(1.05)^t

C.)

0 = 140

10 = 228.05

5.)

A.) The y-intercept is how much the cell phone cost to purchase.

B.) V means value, t meaning years was replaced by 4, and 31.25 is how much it's worth at that time.

C.) The graph is decreasing, and the value goes down with time.

The area of the composite figure is 378.5 square feets.

We can decompose this into a rectangle of 30ft by 10ft and a circle whose diameter is 10ft.

Remember that the area of a rectangle of width W and length L is given by:

A = L*W

So the area of this rectangle is:

A = 30ft*10ft = 300ft²

And the area of a circle whose diameter D is:

A = 3.14*(D/2)²

So in this case the area of the circle is:

A = 3.14*(10ft/2)²

A = 3.14*(5ft)² = 78.5 ft²

Then the total area of the composite figure is:

area = 300ft² + 78.5 ft²

area = 378.5 ft²

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Answer:

0

Step-by-step explanation:

x < 4 means all numbers less than 4, excluding 4 itself.

4.5 > 4.

5 > 4.

so 0 is the solution

Answer:

4

Step-by-step explanation:

interval notation ( negative infinity, 4)

Answer:

The answer is "(0.782, 0.818)".

Step-by-step explanation:

computing the sample proportion:

\(p=\frac{x}{n}= \frac{1,600}{2000}=0.80 \\\\\)

\(\text{Computing the} \ 95\% \ \ C.I \\\\\)

\(C.I= p \pm Z_{\frac{\alpha}{2}}\sqrt{\frac{P(1-p)}{n}}\)

     \(= 0.80 \pm 1.96 \sqrt{\frac{0.80(1-0.80)}{2000}} \\\\= 0.80 \pm 1.96 \sqrt{\frac{0.80(0.20)}{2000}} \\\\= 0.80 \pm 1.96 \sqrt{\frac{0.16}{2000}} \\\\ = 0.80 \pm 1.96 \sqrt{0.00008} \\\\=0.80 \pm 0.18 \\\\= (0.782, 0.818)\)

conclusion:

Since the interval calculation contains higher values than 75 percent of its union membership, the merger proposal is likely to pass.

The 6th Term is 96.

To find the nth term of the series 3, 6, 12, 24, 48, we need to find the common ratio first. We can find it by dividing any term by its preceding term. For example,6/3=212/6=324/12=248/24=2So, the common ratio is 2.

Now, we can use the formula for the nth term of a geometric sequence:

an = a1 * r^(n-1)where an is the nth term, a1 is the first term, r is the common ratio, and n is the number of terms we want to find.

Let's substitute the known values in the formula:a1 = 3 (the first term)r = 2 (the common ratio)an = a1 * r^(n-1)an = 3 * 2^(n-1)Therefore, the nth term of the series 3, 6, 12, 24, 48 is 3 * 2^(n-1).

We can use this formula to find any term we want. For example, if we want to find the 6th term, we can substitute n = 6:an = 3 * 2^(6-1)an = 3 * 2^5an = 96

So, the 6th term is 96.

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Answer:

$0.64 per cup

Step-by-step explanation:

There are 16 cups in 1 gallon, so the number of cups in 2 gallons is:

1 gallon: 16 cups

2 gallon = 2 x 1 gallon = 2 x 16 cups = 32 cups

So we need to find the price of each cup:

1 cup = ($20.48 / 32 cups) = $0.64 per cup.

Answer:

x < 3

Step-by-step explanation:

\(5x + 7 < 22 \\ 5x < 22 - 7 \\ 5x < 15 \\ x < \frac{15}{5} \\ x < 3\)

ANSWER

A. The slope is -5

The y intercept is (0, 4)

EXPLANATION

We are given the function:

y = -5x + 4

The slope of a function is the rate of change of the y values of that function with respect to the x values.

The intercept is the point where the graph touches the y axis. It is the value of a function when x is zero.

It can be written as (0, c) where c is the intercept.

A linear function is generally written as:

y = mx + c

where m = slope

c = y intercept

Therefore, from the question:

m, slope = -5

c = 4

Therefore, the slope is -5 and the y intercept is (0, 4). (Option A)

Answer:

The answers are: A, D, E, and F

Step-by-step explanation:

The sentences that correctly identify the components of the experiment.

A. The experimental units are subjects

D. There are three treatments

E. One treatment is a circuit training class

F. The factor is the type of class

The study of mathematical structures through computation to pinpoint their underlying characteristics and patterns is known as experimental mathematics.

Given:

The Subjects have 100 Athletes.

Also, there are 50- meter dash.

So, the statement that follows the Experiment:

A. The experimental units are subjects

D. There are three treatments

E. One treatment is a circuit training class

F. The factor is the type of class

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Answer:

Steps in provided image.

Step-by-step explanation:

In the given table, the value of f(g(3)) is 4. The correct option is 1.

A frequency table is a table that displays the frequency of each category or value in a dataset. It is a way of summarizing the distribution of a dataset by showing how often each category or value occurs.

The table typically has two columns: one column lists the categories or values, and the other column lists the corresponding frequency or count.

To find f(g(3)), we first need to determine the value of g(3), and then use that value to find f(g(3)).

From the table, we can see that g(3) is equal to 0, since the value of G(x) is 0 when x=3.

Next, we need to find the value of f(0) by looking at the F(x) column of the table when x=0.

We can see that when x=0, F(x) is equal to 4.

Therefore, f(g(3)) is equal to f(0), which is equal to 4.

Thus, f(g(3)) = f(0) = 4. The correct option is 1.

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Answer:

Below

Step-by-step explanation:

12:10 PM -   ( 1 + 1 ) hr = 10:10 AM    then subtract the 40 min to get 9:30 AM

Answer:

Let n and n+4 be the numbers. Then:

n² + 3(n+4)=66

n²+3n-54=0

(n+9)(n-6)=0

n=6 or -9

n+4=10

Assuming positive integers only, the numbers are 6 and 10…..

Step-by-step explanation:

100% right

Natural number are those number that is used for the purpose of counting and ordering. The two natural numbers are 4 and 6.

Natural number are those number that is used for the purpose of counting and ordering. It is denoted by 'N'.

Let the first number(bigger number) be 'a', and the smaller number be b.

As it is given that the first number is 4 more than the second number. Therefore, the equation can be written as,

a = b + 4

Now, it is given that the product of the two numbers is three times the square of the smaller number. Since, when we add four to b we get a, therefore, b is the smaller number. Therefore, the equation can be written as,

\(ab = 3(b^2)\\\)

As the value of a = b+4, substitute the value of a,

\((b+4)b = 3(b^2)\\\\(b+4) = \dfrac{3b^2}{b}\\\\b+4 = 3b\\\\4=3b-b\\\\4=2b\\\\b = 2\)

Thus, the value of b is 2.

In order to get 'a' add 4 to the value of b, therefore, the value of a is,

\(a = b+4\\\\a = 2+4 \\\\a=6\)

Hence, the two natural numbers are 4 and 6.

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Answer:

The answer would be 28 93/108 or 28 31/36

Step-by-step explanation:

Answer:

26 31/36

Step-by-step explanation:

Answer:

20200

Step-by-step explanation:

As you're in a hurry, I can give it later? xx

Answer: 4xy+2y+x

Step-by-step explanation: Let the area of the larger box be A1 and the smaller box A2. We can then take A1-A2 = Shaded Area.

A1 = (2y+x)*(2y+1)

A1 = 4y^2 +2xy +2y +x

A2 = (2y-x)*(2y)

A2 = 4y^2 - 2xy

Shaded Area = A1-A2

A1-A2 = (4y^2 +2xy +2y +x) - (4y^2 - 2xy)

Shaded Area = 4xy+2y+x

Steve is correct. Steve can find the difference in temperature between 7 AM and 12 PM on Wednesday by adding the distances from 0.

By using a number line, Steve can find the difference in temperature between 7 AM and 12 PM on Wednesday by adding the distances from 0. One temperature is negative and the other is positive, but by adding their distances, he can find the difference. Kelly's method of subtracting -5.1 from the temperature at 12 PM on Wednesday is not necessarily incorrect, but it does not give the exact difference in temperature between the two times. Therefore, using Steve's method, the change in temperature would be the sum of the distance from 0 to the temperature at 7 AM (which is 2.5) and the distance from 0 to the temperature at 12 PM (which is also 2.5), resulting in a difference of 5 degrees.

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We are given the following function:

If we want to stretch a graph vertical we must multiply the function by the factor we want to stretch it:

Therefore, if we want to stretch the given function by a factor of 4 we must multiply the given function by 4:

To shrink the function horizontally we must do the following change:

Therefore, the new function must be:

Simplifying we get:

Now, we graph both functions. We get:

The blue graph represents the original function, and the green graph represent the modified function

Answer:

15

Step-by-step explanation:

1. 2x + 3 = 33

2. 2x = 33 - 3

3. 2x = 30

4. x = 15