Complete the hypothesis about the product of two rational numbers. Select the correct answer from each drop-down menu. The product of two rational numbers is number because multiplying equivalent to the ratio of which is number.
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Reason:

The line is going uphill as it moves to the right.

Answer:

The number after - 2 is - 3.5.

Step-by-step explanation:

Follow the pattern

Let the number be  after -2

as in the question after 4 we have 2.5 then 1 and so on.

if we subtract 4 from 2.5 we get

2.5 - 4 = -1.5

similarly:  1 - 2.5 = -1.5

-0.5 - 1 = -1.5

and now

x -(-2) = - 1.5

x = - 1.5 -2

x = - 3.5

so the number after - 2 is - 3.5.

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Answer:

The coefficient is 2

Answer:

5/23

Step-by-step explanation:

▪︎ There are 23 customers in total.

▪︎ Only 5 of them ordered a starter but not a dessert.

▪︎ => 5/23

The probability that a customer picked at random ordered a starter but did not order a dessert = 5/23

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.

The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.

The degree to which something is likely to happen is basically what probability means.

Given:

Total Customers= 23

and, Customer like starter=5

Customer like Dessert =8

Customer like both =7

So,  probability that a customer picked at random ordered a starter but did not order a dessert = 5/23

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Answer:

50°

Step-by-step explanation:

because there opposite to each other.

Answer:

the answer is D

Step-by-step explanation:

I'm not good at explaining but, it is because the line is not touching more than 1 point on the graph. Basically making it pass the vertical line test, therefore making the answer D.

Good luck, hope this helps !!!

The correct option is k(x) = 5x - (5-x)

The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

Here, the given functions are;

g(x) = 5x                  h(x) = 5 - x

Now,

        k(x) = (g - h)(x)

        k(x) = g(x) - h(x)

        k(x) = 5x - (5 - x)

Thus, the correct option is k(x) = 5x - (5-x).

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Answer:

A

Step-by-step explanation:

Since x has a negative coefficient, the graph opens downwards meaning that it has a maximum.

The vertex formula is y = a(x - h)^2 + k so the coordinate must be (-6, 6).

According to the plot of [tex]f(x)[/tex], whose curve passes through the point (-5, -3), we have

[tex]f(-5) = -3 \implies f^{-1}(-3) = \boxed{-5}[/tex]

Answer:

[tex]x = 5y {}^{2} + 10[/tex]

The inverse of the function is x = 5y² + 10.

An equation contains one or more terms with variables connected by an equal sign.

Example:

2x + 4y = 9 is an equation.

2x = 8 is an equation.

We have,

To find the inverse of a function, we need to solve for x in terms of y.

To do this, we can start by replacing y with x and solving for x.

y = 5x² + 10

x = 5y² + 10

Now we have solved for x in terms of y, which gives us the inverse of the original function.

So the equation that can be simplified to find the inverse of y = 5x² + 10 is:

x = 5y² + 10

Thus,

The inverse of the function is x = 5y² + 10.

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Answer:

210km

Step-by-step explanation:

2hours = 180km

2hours = 120minutes

40mins =180/3

           =60km

20mins=60/2

            =30km

2h and 20mins =30+180

                          =210km

Answer:

210kms

Step-by-step explanation:

Speed of the car per hour = 90km/h

or, speed of the car per minute = 90/60kms=1.5km/minute

Now,

car drives for 2hours and 20 minutes

or, (2*60 +20) minutes= 140minutes

Distance of the car drive= minutes travelled* speed per minute

= 140*1.5kms

=210kms

The given reaction is considered as nuclear reaction instead of chemical reaction as the change is coming in the nucleus.

A nuclear reaction is one in which the number of protons or neutrons changes as a result of collisions between two nuclei or an atom and a subatomic particle.

In the given reaction also which is superscript 1 subscript 1 h plus superscript 1 subscript 0 n right arrow superscript 2 subscript 1 h.

A neutron is added to the nucleus of a hydrogen atom here. As a result, it is a nuclear reaction.

A chemical reaction involves the acquisition or loss of electrons, which leads in the synthesis of a new molecule while leaving the nucleus of an atom unchanged.

Thus, we can give a conclusion that because a change in a nucleus happened, the described event is categorised as a nuclear reaction rather than a chemical reaction.

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Answer:

cos L = [tex]\frac{23}{25}[/tex]

Step-by-step explanation:

cos L  = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{KL}{JL}[/tex] = [tex]\frac{23}{25}[/tex]

The measure of angle 2 is 73.

An angle is a combination of two rays (half-lines) with a common endpoint.

Given:

As, angle 1 and 2 are supplementary

<1 + <2 + (6x +5) =180

And, by corresponding angle, <1= 48

So, 48 + <2 + (6x +5)= 180

          <2 + (6x +5) = 132

Also x= 9

then, <2 = 132 - 59

        <2= 73.

Hence, measure of <2 is 9.

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Answer:

x=46

Step-by-step explanation:

4(x+1)-3x=50

first you gotta take care of the () so multiple by 4

(4x+4) -3x=50

combine like terms, subtract 4-3 to get 1 so you have 1x left

4 + x = 50

and then solve for x

x=46

( i checked it to make sure it was right so dw)

Answer:

3 , 6

Step-by-step explanation:

Answer: (2,-3), (2, -3)

Step-by-step explanation: Substitute 2 into each equation. See Attachment and don’t forget to check the work just in case ;)

Answer:

profit=Rs60

Step-by-step explanation:

I hope it helps.

The Venn diagram is given below. Then the number of students who have brother and sister will be 6.

A set is a group of clearly specified components. The number of items in a finite set is denoted by a curly bracket.

In a class of 20 students:

11 have a brother, 9 have a sister, and 6 have neither.

Then the Venn diagram will be

11 – a + a + 9 – a = 20 – 6

               20 – a = 14

                        a = 6

The Venn diagram is given below.

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Using it's concept, it is found that there is a 0.2312 = 23.12% probability that the person has a tattoo.

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem, 995 people were surveyed, out of which 230 have tattoos, hence the probability is given by:

p = 230/995 = 0.2312.

0.2312 = 23.12% probability that the person has a tattoo.

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Answer:

15

Step-by-step explanation:

3x/4+1=19/4+1x/2

3x/4-x/2=19/4-1

x/4=15/4

collect like terms

x=15

The correct option is B. The Wolverines' distribution is negatively skewed, but the Panthers' distribution is symmetric.

Data is symmetric if the median is in the mid of the box plot and the box is mid to the line connecting both whiskers.

The box plot showing scores for the Panthers basketball team has the median shown by a vertical line dividing the box into 2 equal halves.

Also, both whiskers on either side are relatively equal which shows that the data set for bulldogs is symmetric.

On the other side, the box plot for wolverine shows the median closer to the upper quartile.

That shows that the data set for team Wolverines' distribution is negatively skewed.

The correct option is B. The Wolverines' distribution is negatively skewed, but the Panthers' distribution is symmetric.

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Answer:

A. JK and LM lie in the same plane

B. JK and LM do not intersect

E. JK and LM are parallel

Step-by-step explanation:

hope this helped

Answer:

[tex]3x-1[/tex]

Step-by-step explanation:

The formula to find the area of a triangle:

[tex]A = \frac{bh}{2}[/tex]

Here, [tex]A[/tex] is the area, [tex]b[/tex] is the base and [tex]h[/tex] is the height.

However, we are looking for height, so let's rearrange the equation for [tex]h[/tex]:

[tex]A = \frac{bh}{2}\\2A = bh\\h = \frac{2A}{b}[/tex]

Now we know the formula to find the height, let's do so:

[tex]h = \frac{2(18x-6)}{12}\\\\h = \frac{36x-12}{12}\\\\h = 3x - 1[/tex]

Therefore, our final answer is [tex]3x-1[/tex].

Step-by-step explanation:

just breathe and read it carefully. no need for panic. all you need is common sense, nothing fancy.

the tools and definitions to use are given in the description. we only need to use them.

the height of the point of view is 44 + 6 = 50 ft (because the eyes are again 6 ft above the top of the hill, and we are dealing with what the eyes can see).

so, the seeable distance D in miles is then

D = sqrt(2×50) = sqrt(100) = 10 miles

she will be able to see approximately 10 miles to the horizon.

The correct answer is option C which is Gas station A is selling gasoline at a lower rate its price is $3.05 per gallon.

Expression in maths is defined as the collection of numbers, variables, and functions using signs like addition, subtraction, multiplication and division.

Here we have two pieces of information

Gas station A:-

3 gallons for $9.15

1 gallons for  $9.15 / 3 = $ 3.05

Gas station B:-

P = 3.08g

It means that station B is selling the gasoline at a higher price.

Therefore the correct answer is option C which is Gas station A is selling gasoline at a lower rate its price is $3.05 per gallon.

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Answer: You have already given the answer in the question! You can make a small shoe box.

Answer:

B

Step-by-step explanation:

the volume (V) of a sphere is calculated as

V = [tex]\frac{4}{3}[/tex] πr³ ( r is the radius )

here r = 13 , then

V = [tex]\frac{4}{3}[/tex] π × 13³ = [tex]\frac{4}{3}[/tex] π × 2197 = [tex]\frac{4(2197)}{3}[/tex] π = [tex]\frac{8788}{3}[/tex] π units³

The solution is, B.  8788/3 * π units³ is the volume of the sphere shown below.

In mathematics, volume is the space taken by an object. Volume is a measure of three-dimensional space. It is often quantified numerically using SI derived units or by various imperial or US customary units. The definition of length is interrelated with volume.

here, we have,

the volume (V) of a sphere is calculated as

V = 4/3 πr³ ( r is the radius )

now, we have,

from the given figure, we get,

here r = 13 , then

V =  4/3* π × 13³

= 4/3* π × 2197

= 8788/3 * π units³

Hence, The solution is, B.  8788/3 * π units³ is the volume of the sphere shown below.

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