When adding 7 to -15 using a number line, which direction would you move on the number line from -15?

The value of the expression using distributive property is [tex]-\frac{4}{5}[/tex] .

According to the distributive property, an expression of the form A (B + C) can be resolved as A (B + C) = AB + AC.

The given expression is  [tex]\frac{4}{7}\times(-\frac{3}{5} ) +(-\frac{4}{5} )\times\frac{4}{7}[/tex]

Here we take the reverse of the distributive property to solve the expression. We take the term of  [tex]\frac{4}{7}[/tex]  common from both the separate expressions:

[tex]=\frac{4}{7}\times(-\frac{3}{5} ) +(-\frac{4}{5} )\times\frac{4}{7}\\\\=\frac{4}{7}(-\frac{3}{5}-\frac{4}{5})\\\\=\frac{4}{7}\times(-\frac{7}{5}) \\\\=-\frac{4}{5}[/tex]

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Since they're in arithmetic progression, there is a constant difference between consecutive terms of

[tex](7x - 7) - (x - 1) = 6x - 6[/tex]

Recursively, the sequence is given by

[tex]\begin{cases} a_1 = x-1 \\ a_n = a_{n-1} + 6x - 6 & \text{for }n\ge2\end{cases}[/tex]

By substitution, we have

[tex]a_2 = a_1 + 6x-6[/tex]

[tex]a_3 = a_2 + 6x-6 = a_1 + 2(6x-6)[/tex]

[tex]a_4 = a_3 + 6x-6 = a_1 + 3(6x-6)[/tex]

and so on, up to the 14th term

[tex]a_{14} = a_1 + 13(6x-6)[/tex]

[tex]a_{14} = (x-1) + 78 (x - 1)[/tex]

[tex]a_{17} = 79 (x - 1) = \boxed{79x-79}[/tex]

The quantity that is best modeled by a linear function is given as follows:

the number of seconds as a function of the number of hours.

A linear function is modeled by the following rule:

y = mx + b

In which:

Another feature of linear functions is uniform behavior, as they are either increasing or decreasing over the entire domain, there are no changes from increasing to decreasing.

Heights increase or decrease over the domain, hence they are not linear, while the area of the square is quadratic, as A = s².

One hour has 3600 seconds, hence the number of seconds in a number of hours is modeled by the following linear function:

S(h) = 3600h.

Hence the quantity that is best modeled by a linear function is given as follows:

the number of seconds as a function of the number of hours.

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Answer:

KM = 1.5

Step-by-step explanation:

The first piece of info we get is that L is the midpoint of JM. This means that L = JM/2. The second piece of information provided is that K is the midpoint of JL, which means K = JL/2. We know that JL = 1, so we can plug it into the equation to help us figure out the problem. You can also illustrate to solve this problem, as I do here.  

Since JL = 1...

K = 1/2, K = 0.5

________________________________________________

J                       K(0.5)                        L                                          M                                                                                                  

 ___________           __________

        0.5                               0.5

Now with this information, we know that 0.5 represents the distance of 1/4 of JM. We know that KM is 3/4 of the number line, and we know that 1/4 of the line is 0.5. We multiply 0.5 * 3 to get our final answer.

FINAL ANSWER: KM = 1.5

Answer:D

Step-by-step explanation:

Answer:

I think it's the last one, the one that have month 4,6,8.

Step-by-step explanation:

Answer:

The translation of 2 units left in function f (x) = 4x + 1 is 4x + 3.

Here,

Function is given as, f(x)=4x+1

And, translation 2 units left.

We have to find the function after translation.

Now,

Function is given as, f(x)=4x+1

After translation 2 units left the function is;

f (x) = 4x + 1 + 2

f (x ) = 4x + 3

Hence, the function after translation 2 units is f (x) = 4x + 3

Answer:

mass of 1 mole 2^5/4=2^5/2a=c=0g

Step-by-step explanation:

Answer:

350p2+19500p-199000

(The first term is actually -350p² but I guess you have to write it as -350p2)

Step-by-step explanation:

Looks like that first term in the revenue equation is -350p²

We have
E = -1500p + 199000
R = -350p² + 18000p

Profit = Revenue - Expenses = R - P

Profit = -350p² + 18000p - (-1500p + 199000)

= 350p² + 18000p + 1500p - 199000

= 350p² + 19500p - 199000

The answer is 1/2

The unitary technique, in its most basic form, is used to calculate the value of a single unit from a specified multiple. How to determine the value of one pen, for instance, if the cost of 40 pens is Rs. 400. The unitary approach can be used to complete it. Additionally, after determining the value of a single unit, we can multiply that value by the number of units needed to determine the value of the additional units. The concept of ratio and proportion is mostly applied using this way.

Jackie grow hair in 3/2 month = 3/4

Jackie grow hair in 1 month = 3/4 x 2/ 3

                                                  = 1/2

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The result of the expression given as 2/3+3/5 is: 19/15

To solve this exercise we have to perform a mathematical operation of division with fractions:

2/3+3/5

We apply the least common multiple of the denominators and we get:

Least common multiple of denominators: 3*5  = 15

[(15/3)*2 + (15/5)*3] / 15

[(5*2) + (3*3)]  / 15

(10 + 9) /  15

19/15

Is a number that expresses the portion of some number over a total. The number that expresses the portion is known as the numerator and the number that expresses the total is known as the denominator.

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The points where the graph intercepts the x-axis is the root of the function.

from the graph the points are 3.9 and 6.1

The vertex v is at v ( 5, -4 ) this is equivalent to v ( h, k )

the equation of parabola in vertex form is y = a ( x- h )^2 + k

y = a ( x - 5 )^2 + {-4)

substituting point ( 4, -1 ) from the graph we have:

-1 = a ( 4 - 5 )^2 - 4

-1 = a - 4

a = 3

substituting the known values to y = a ( x- h ) + k

y = 3 ( x - 5 )^2 - 4

y = 3 ( x - 5) ( x - 5 ) - 4

y = 3 ( x - 5) ( x - 5 ) - 4

y = 3 ( x^2 - 10x + 25 ) - 4

y = 3x^2 - 30x + 75 - 4

y = 3x^2 - 30x + 71

The points where the graph intercepts the x-axis is the root of the function.

from the graph the points are 2 and 4

The vertex v is at v ( 3, 2 ) this is equivalent to v ( h, k )

the equation of parabola in vertex form is y = a ( x- h )^2 + k

y = a ( x - 3 )^2 + 2

substituting point ( 0, -16 ) from the graph we have:

-16 = a ( 0 - 3 )^2 + 2

-16 = a - 9 + 2

-16 = a - 7

a = -9

substituting the known values to y = a ( x- h ) + k

y = -9 ( x - 3 )^2 + 2

y = -9 ( x - 3) ( x - 3 ) + 2

y = -9 ( x - 3) ( x - 3 ) + 2

y = -9 ( x^2 - 6x + 9 ) - 4

y = 3x^2 - 54x - 81 - 4

y = 3x^2 - 54x - 85

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Answer: i have same question somehelp

Step-by-step explanation:

Answer:3/16

Step-by-step explanation:

Simplify 6/32 in Lowest Terms

6/32 = (?)

6/32 = (2 x 3)/(2 x 2 x 2 x 2 x 2)

= 3/16

6/32 = 3/16

Answer:

60

Step-by-step explanation:

rid of precentage and zeros, multiply the numbers you have left.

Answer:

0

Step-by-step explanation:

As x aproaches a, (x-a) will aproach 0, so the numerator will aproach 0, and because 0 divided by anything=0, the whole function will become 0. So, the answer is 0.

2  is the value of invar in the base workspace after executing.

What are variables?

What three categories of variables are there?

Any feature, characteristic, or circumstance that can exist in various amounts or types is considered a variable. Independent, dependent, and controlled variables are typically present in an experiment.

invar = 1;

out1 = plusone(invar);

= 2

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The value of x is 3 days.

Here,

Jenna alone takes x days to finish a project.

Kelly alone takes 3 days more than Jenna alone to finish the project.

They together take 2 days to finish the project.

We have to find the value of x.

What is Mathematical expression?

Mathematical expression is a way where calculations and analytical processes should be observed.

Now,

Jenna alone takes x days to finish a project.

Hence, Jenna complete work in 1 day = 1/x work

Kelly alone takes 3 days more than Jenna alone to finish the project.

That is, x + 3 days.

Hence, Kelly complete work in 1 day = [tex]\frac{1}{x+3}[/tex] work

They together take 2 days to finish the project.

Hence, They together complete a work in 1 day = 1/2 work.

To find the value of x we use the formula of work word problem as;

[tex]\frac{1}{x} + \frac{1}{x+3} = \frac{1}{2} \\\\\frac{(x+3)+x}{x(x+3)} = \frac{1}{2}\\\\2(2x+3) = x (x+3)\\\\4x + 6 = x^{2} + 3x\\\\x^{2} -x-6=0\\\\x^{2} -3x+2x-6=0\\\\x (x-3) +2(x-3)=0\\\\(x+2) (x-3) = 0\\\\x = -2, x = 3[/tex]

Since, The value of x = -2 is not possible (because days are not shown in negative sign).

Hence, The value of x is 3 days.

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The solution associated with rational numbers is descriptively illustrated below with a detailed explanation.

What is a rational number?

Problems with the division of Rational Numbers:

(a) [tex]\frac{5}{7}[/tex] ÷ [tex]\frac{-11}{5} = \frac{5}{7} * \frac{5}{11} = \frac{25}{77}[/tex]

(b) [tex]\frac{\frac{-4}{5} }{\frac{3}{10} }[/tex]

[tex]\frac{-4}{5}[/tex]÷[tex]\frac{3}{10}[/tex]

[tex]\frac{-4}{5} *\frac{10}{3} \\=\frac{-8}{3}[/tex]

(c) [tex]\frac{-7}{17}[/tex]÷[tex]\frac{13}{34}[/tex]

[tex]\frac{-7}{17} X\frac{34}{13}[/tex]

(d) [tex]\frac{-2}{7}[/tex]÷[tex](\frac{-2}{21}[/tex] ÷ [tex]\frac{1}{7} )[/tex]

[tex]\frac{-2}{7}[/tex] ÷[tex](\frac{-2}{21} X\frac{7}{1} )[/tex]

[tex]= \frac{-2}{7} X \frac{-3}{2}[/tex]

[tex]=\frac{3}{7}[/tex]

He multiplied the denominator and numerator.

(e)

[tex]\frac{-1 \frac{1}{2} }{1\frac{2}{3} } \\\\=\frac{\frac{3}{2} }{\frac{5}{3} } \\\\=\frac{3}{2} X \frac{3}{5} \\\\=\frac{9}{10}[/tex]

(f) [tex]\frac{-3}{4}[/tex] ÷ [tex]\frac{2}{5} = \frac{-3}{4} X \frac{5}{2} =\frac{-15}{8}[/tex]

0.75÷0.4 = 1.875

[tex]\frac{3}{4}[/tex] ÷ [tex]\frac{2}{5} = \frac{3}{4} X \frac{-5}{2} =\frac{-15}{8}[/tex]

(g)

Reciprocal of [tex]-1\frac{1}{17} = \frac{-17}{18}[/tex]

Reciprocal of [tex]\frac{-17}{18} = \frac{-18}{17}[/tex]

The above expressions are multiplicative inverse as [tex]\frac{-17}{18} X \frac{-18}{17} =1[/tex]

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The price of crude oil in 3.24 ¢ /cup.

A conversion factor is a number that is used to multiply or divide one set of units into another.

Some conversion factors are-

One gallon = 4 quarts;

4 cups = 1 quart

( ¢ =cents)

Now, as per the given question;

The crude oil was sold at $21.75 per barrel.

The volume of the barrel is 42 gallons.

Let 'P' be the total price of crude oil in ¢ /cup.

To determine the price in cents per cup, we must use the conversion factors:

Price P = ($21.75/1 barrel)×(100 ¢/$ 1.00)×(1 barrel/42 gallons)×1 gallon/ 4      quarts)×(1 quartz/ 4 cups).

Simplify the above equation;

Price per cup P = 3.24  ¢ /cup.

Therefore, the price of crude oil is 3.24 ¢ /cup.

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If the boy is riding a bicycle and gets stuck or got accident by a car, 440ml of IV fluid will be administered.

To avoid further injury, place the victim on the ground very gently and slowly without handling vigorously. In one direction, tilt the sufferer. Dress loosely around the waist, chest, and neck. So that the tongue can fall forward and allow blood and vomit to drain out, tilt your head back and slightly downward. When you come across an accident victim, the first thing you need to determine is whether the victim's body has sustained any physical wounds. Depending on how severe the collision was, you might not be able to see any inside injuries, but you will see a few exterior ones.

In a car accident, spine injuries and head trauma are common. Therefore, be aware that rough handling of the sufferer will result in additional injuries while opting to assist the victim in moving to a safer location on the road. Therefore, request any onlookers to carefully assist in moving the sufferer to a location near the road where it will be safer.

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A scale that allows us to rank individuals or objects, but not say anything about the meaning of the differences between the ranks, is an ordinal scale.

Therefore, a scale that allows us to rank individuals or objects, but not say anything about the meaning of the differences between the ranks, is an ordinal scale.

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Answer:

17/23+3/23 = 10/23 =2.3

Step-by-step explanation:

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I have something on my page, please can you help me?

thankyou

answer:

3/4

explanation:

the side lengths of preimage abcd are all four units, whereas image abcd's lengths are all three. from this, we can surmise the scale factor is 3/4.

how to calculate scale factor:

scale factor = dimension of the new shape ÷ dimension of the original shape

Answer:

Step-by-step explanation:

a^2 + b^2 = c^2

where

a and b are the legs

and

c is the hypotenuse

.

the problem gives the "legs" because the LONGEST leg is always the hypotenuse.

a^2 + b^2 = c^2

1071^2 + 1840^2 = c^2

1147041 + 3385600 = c^2

4532641 = c^2

{ 0,2,4,6,8} is  the complement of the set.

What is natural number in math?

Is zero a natural number?

u = {0, 1, 2, 3, 4, 5, 6, 7, 8}

Odd number less than 8  = { 1,3,5,7 }

complement =  {0, 1, 2, 3, 4, 5, 6, 7, 8} -  { 1,3,5,7 }

                     = { 0,2,4,6,8}

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Answer:

1 5/6

Step-by-step explanation:

Explain what is meant by confounding. what is a lurking variable? what is a confounding variable?

Answer:

A Confounding is the variable that is considered in a research study, and could overall influence the relations between the variables in the study. For example, students wanting to join AP English next semester were told to write a six page essay. When the students turned in their papers and teachers say the difference and grades they believed that the variable was the time that the students handed in the paper. They thought that if the student handed in their paper later than another student that they would receive a lower score, but this was not the case. When asking the students how they prepared for the paper, students replied with different answers. Those who outlined and used other literature for reference scored much higher than those who only used prior knowledge to write their essays. In this study, the lurking variable would be the presence of an outline.

Lurking variable: A variable that is not considered in a research study that could influence the relations between the variables in the study

Confounding variable: A variable that is considered in a research study that could influence the relations between the variables in the study

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