Find the slope of the line. (-4,-1) (4,-3)

Answer:

8/11

Step-by-step explanation:

[tex]2\frac{2}{3} = \frac{8}{3}\\3\frac{2}{3} = \frac{11}{3} \\= \frac{8}{3} \div \frac{11}{3}\\=\frac{8\times 3}{3 \times 11} = \frac{24}{33}\\\\LCM: 3\\\\\frac{24 \div 3}{33 \div 3}\\= \frac{8}{11}[/tex]

Step-by-step explanation:

Simplifying

-3(x + 5) = -1(3x + 15)

Reorder the terms:

-3(5 + x) = -1(3x + 15)

(5 * -3 + x * -3) = -1(3x + 15)

(-15 + -3x) = -1(3x + 15)

Reorder the terms:

-15 + -3x = -1(15 + 3x)

-15 + -3x = (15 * -1 + 3x * -1)

-15 + -3x = (-15 + -3x)

Add '15' to each side of the equation.

-15 + 15 + -3x = -15 + 15 + -3x

Combine like terms: -15 + 15 = 0

0 + -3x = -15 + 15 + -3x

-3x = -15 + 15 + -3x

Combine like terms: -15 + 15 = 0

-3x = 0 + -3x

-3x = -3x

Add '3x' to each side of the equation.

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

Combine like terms: -3x + 3x = 0

0 = -3x + 3x

Combine like terms: -3x + 3x = 0

0 = 0

Solving

0 = 0

Couldn't find a variable to solve for.

This equation is an identity, all real numbers are solutions.

Answer:

Step-by-step explanation:

-3(x+5) = -(3x+15)

-3x - 15 = -3x - 15

the 2 sides are identical so there are

INFINITE solutions.

The rounded value of 5,672,874,627 is 5,673,000,000

What is a rounded value?

When a number is rounded, its value is kept relatively constant while being made easier. The outcome is simpler to use but less precise. Since 73 is closer to 70 than to 80, it is 70 when rounded to the nearest ten. But 76 increases to 80.

5,672,874,627

2 is in the million column

5,672,874,627

The nearest million could be 5,672,000,000 or 5,673,000,000.

To round to the nearest million, look at the digit in the column to the right, the hundred thousands.

5,672,874,627

The number in the hundred thousands column is 8.

The rule is, if the number is 5 or more, round up

5,673,000,000

Therefore, the rounded value of 5,672,874,627 is 5,673,000,000

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Answer:

3/5 is longer than 4/7

Step-by-step explanation:

Answer:

x = -2

Step-by-step explanation:

2(4 - 3x) = 20

8 - 6x = 20

-8          -8

-6x = 12

÷-6    -6

x = -2

I hope this helps!

Answer:

7/8-1x2/4x2

7/8-2/8=5/8

5/8

The number which corresponds to the point B is (option b) 4.328.

Given,

A number line 4 to 5 partitioned into tenths. ( image is attached below)

There are 4 red dots:

We have to plot the number corresponding to the point B.

Let's go through the options:

a) 4.009 : This would be between 4 and 4.1. That is, point A.

b) 4.328 : This would be between 4.3 and 4.4. That is, point B.

c) 4.43 : This would be between 4.4 and 4.5

d) 4.77 : This would be between 4.7 and 4.8. That is, point D.

So, the number which corresponds to the point B is (option b) 4.328.

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My Assuming Answer;

OPTION B;

4.328

Add-ons;

Hey again! Here's an answer to your question :) Thanks for giving that recipe. Have a nice day.

The drawing that creates a line of reflection that takes the point A to point B is; D: Draw a line parallel to line AB.

A line of reflection is a line that lies in a position between two identical mirror images so that any point on one image is the same distance from the line as the same point on the other flipped image.

Let us look at the given options;

A) Draw the perpendicular bisector of segment AB; A perpendicular bisector will NOT create a line of reflection that takes point A to point B but rather it will divide the line AB in two equal parts

B) Draw a line through B perpendicular to segment AB; A line through B perpendicular to segment AB will NOT Create a line of reflection that takes point A to point B

C) Draw the line passing through A and B;

A line passing through A and B will NOT create a line of reflection that takes point A to point B but rather will create Line A and B again and not its reflection

D) Draw a line parallel to line AB;

A line parallel to line AB will create a line of reflection that takes point A to point B because a parallel line never meet thereby creating the direct imagery of Line AB.

Thus, the drawing that create a line of reflection that takes the point A to point B is; D: Draw a line parallel to line AB.

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The expression for M from the given function is M = 4π²a²/T²G

The subject of a formula is the variable that is being worked out from a given equation.

Given the equation below;

T² = 4π²a²/GM

We are to make M the subject of the formula

T²GM = 4π²a²

Divide both sides by T²G

T²GM/T²G = 4π²a²/T²G

M = 4π²a²/T²G

Hence the expression for M from the given function is M = 4π²a²/T²G

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Answer: m = 13 kg

Step-by-step explanation:

      This question gives us the formula to use. We will plug-in the values we know and solve for the unknown (mass).

   Given:

F = ma

   Plug-in known values:

(65 kg m/s²) = m(5 m/s²)

   Divide both sides of the equation by 5 m/s²:

The m/s² unit cancel out, so we are left with kg.

m = 13 kg

       The mass of the object is 13 kg.

The probability that he gets at least as many heads as tails is half or 50%.

Probability is obtained by dividing the number of chances that it will take to realize a result by the number of total possible chances. To get the right probability for the question asked here, we need to determine:

The number of chances is equal to 4.

The total number of possible chances is given by the equation:

4 × 2 = 8

Two is obtained by recognizing the fact that there are two sides to the coin. So, he could either get a head or a tail when he tosses the nickel.

Therefore;

4/8 = 1/2 or 50%

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Answer:

Step-by-step explanation:Its 321

Answer:

1) 1x² - 9x - 109 = 0

2) 3x² -12x -15 = 0

3) 3x² + 13x - 27 = 0

4) 6x² + 84x + 236 = 0

5) -16x² + 8x + 383 = 0

Step-by-step explanation:

The standard form of the quadratic equation is ax² + bx + c where a, b and c are constants.

So we have to convert each of the equations into a form that resembles the above

(1) 11x² -98  = 11 + 9x

(2) (2x - 1)² = (x + 4) ²

(3) 4x² + 2x − 9 = (x − 2)(x − 9)

(4) 0 = 6(x +7 )² - 58

(5) -1/2 ( x - 1/4 )² + 12 = 0

If Ximena pays a flat cost of $44.50 per month and $4 per gigabyte and she wants to keep her bill at $50.10 per month, then she can use 1.4 gigabyte of data while staying within her budget.

Given,

The flat cost of cell phone plan = $44.50 per month

Cost per gigabyte =$4

She wants to keep her bill amount = $50.10

Consider the number of gigabyte used as x

Then the linear inequality will become

44.50+4x≤50.10

4x≤50.10-44.50

4x≤5.6

x≤1.4

Hence, If Ximena pays a flat cost of $44.50 per month and $4 per gigabyte and she wants to keep her bill at $50.10 per month, then she can use 1.4 gigabyte of data while staying within her budget

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2(1/2)/0.25=x and 10 is the quotient for the real-world problem in part.

Division is splitting a group into equal parts and it is one of the four basic math operations.

The real-world problem for the division is

2(1/2)÷)0.25=x

Wth 2.5 L of water. you can drink 0.25L litres in one mouthful.How many mouthfuls do you need to drink.

the quotient for the real-world problem in part is

2.5/0.25

=10

10 is the quotient for the real-world problem in part.

Therefore 10 is the quotient for the real-world problem in part.

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Answer:

A, B, C

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

8 x 6 / 2 -9

48 / 2 - 9

24-9

15

The total amount John has to pay in repaying the loan and interest is $18,600

What makes up the total amount John has to pay?

The total amount that John has to pay comprises of the loan principal of $15,000 and the interest on the loan which is computed at the  simple interest rate of 6% for the loan duration of 4 years

I=PRT

I=interest for 4 years=unknown

P=loan principal=$15,000

R=interest rate=6%

T=number of years of loan=4

I=$15,000*6%*4

I=$3,600

A=P+I

A=$15,000+$3,600

A=$18,600

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A solution of 150 h is administered at a rate of 8 ml / hr.

We express the answer in terms of mg/hr m g / h r

90 mg dopamine / 20 ml = 4.5 mg/ml

4.5 mg/ml * 8 ml/h = 36 mg/h

90 mg * 1 h / 36 mg= 150 h to administer -- using the inverse of 90 mg per 1 hour and cancelling mg in numerator and ml denominator.

Hence, 150 h is administered at a rate of 8 ml / hr.

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Answer:-9

Step-by-step explanation:

This statement is False:

"21- to 24-year-olds in the us have the lowest percentage of drivers in fatal crashes with bac levels of .08% or higher."

A traffic collision, also known as a motor vehicle collision, car accident, or car crash, happens when a vehicle strikes another vehicle, a pedestrian, an animal, road debris, or another immovable object, like a tree, pole, or a structure.

An injury that is not fatal under this approach is one that results from prolonged exposure to an outside force or substance (mechanical, thermal, electrical, chemical, or radiation) or from submersion. Both deliberate and inadvertent bodily harm may occur.

Severe injuries are most frequently dealt to the neck, followed by the head, chest, legs, and abdomen/pelvis, for passengers riding on the side of the automobile that was impacted. For those riding in vehicles on the contralateral side of the car, head injuries are most common, followed by chest injuries.

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Answer:

You would want have more stock and less savings

Step-by-step explanation:

Answer:

Many challenging questions do not involve numerical or geometrical considerations but call for deductive inferences based chiefly on logical relationships. Such puzzles are not to be confounded with riddles, which frequently rely upon deliberately misleading or ambiguous statements, a play on words, or some other device intended to catch the unwary. Logical puzzles do not admit of a standard procedure or generalized pattern for their solution and are usually solved by some trial-and-error method. This is not to say that the guessing is haphazard; on the contrary, the given facts (generally minimal) suggest several hypotheses. These can be successively rejected if found inconsistent, until, by substitution and elimination, the solution is finally reached. The use of various techniques of logic may sometimes prove helpful, but in the last analysis, success depends largely upon that elusive capacity called ingenuity. For convenience, logic problems are arbitrarily grouped in the following categorie

The product of two given numbers in terms of scientific notations is 1.36 × 10^(22).

What are scientific notations?

Scientific notations are a way of representing either a very small or a very large number in the powers of 10. Scientific notations comprise digits from 1 to 9 with powers of 10.

Calculation of the product of two numbers

Given two numbers are 3.2 × 10^(12) and 4.25 × 10^(9)

Multiplying two numbers, we get

= 3.2 × 10^(12) × 4.25 × 10^(9)

= 13.6 × 10^(21)

= 1.36 × 10^(22)

Hence, the product of two numbers in terms of scientific notations is 1.36 × 10^(22).

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The solution to the system of inequality is z ≤ -13/2

Inequality are expression that are not separated by an equal sign.

Given the inequality expression

26 ≤ −8z − 26

Add 26 to both sides

26  + 26 ≤ −8z − 26 + 26

52 ≤ −8z

−8z ≥ 52

z  ≤ -52/8

z ≤ -13/2

Hence the solution to the system of inequality is z ≤ -13/2

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Answer:

B) Z ≤ −6.5

Step-by-step explanation:

Since it's Z ≤ -13/2, then it must be B, since 13 divided by 2 is 6.5.

Brainliest, anyone???

The value of the integer of the b is 37,38,39.

According to the statement

We have to find that the value of the integers.

So, For this purpose, we know that the

An integer is a number with no decimal or fractional part and it includes negative and positive numbers, including zero.

From the given information:

Two integers, a and b, have a greatest common actor of 1. If a = 12 and b is greater than 35 but no more than 40.

Then

a=12

35 < b < 40

Now, we use the GCF

then

GCF of a and b =  1

GCF of 12 and 37 =  1

GCF of 12 and  38 =  2

GCF of 12 and  39 =  3 .

So, The value of the integer of the b is 37,38,39.

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The upper-class limit for the sixth class is 179.

So,

Therefore, the upper-class limit for the sixth class is 179.

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The correct question is given below:
Data was collected for 300 fish from the North Atlantic. The length of the fish (in mm) is summarized in the GFDT below.

Lengths (mm) Frequency

120 - 129 1

130 - 139 16

140 - 149 71

150 - 159 108

160 - 169 83

170 - 179 18

180 - 189 3

What is the upper-class limit for the sixth class?

Answer:

c=5+1h

Step-by-step explanation:

The equation for where h represents the number of hours and C represents the total cost is C = 5 + nh.

Given that the skates were rented for $5 and pay $1 an hour for skating per person.

We need to write an equation, where h represents the number of hours and C represents the total cost.

To calculate the total cost (C) for a family with h hours of skating, you would need to consider the cost of renting skates ($5) and the cost of skating per person per hour ($1 per person per hour).

Let n be the number of people in the family.

The equation for the total cost (C) can be expressed as follows:

C = 5 + nh

The $5 is added to the equation as a one-time cost for renting skates, which is the same for any number of people.

nh represents the cost for the number of people (n) skating for h hours, at the rate of $1 per person per hour.

The cost per person is multiplied by the number of hours they skate.

Hence the required equation is C = 5 + nh.

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The tanΘ will be undefined at Θ = π/2, where 0≤Θ≤π and tanΘ will be undefined at  Θ = 3π/2 where π≤Θ≤2π.

A circle is a shape made up of any and all points inside a plane that are situated at a specific distance from the center point. In other words, it is the path a moving point in a plane takes to move around a curve while maintaining a constant distance from another point.

The unit circle the point (cosΘ, sinΘ) lies on the circle.

Where, 0≤Θ≤2π

We know that tanΘ is the ratio of the sinΘ to cosΘ:

tanΘ = sinΘ/cosΘ

So,

tanΘ will be undefined when cosΘ = 0

So in the interval 0≤Θ≤π

CosΘ will be zero at π/2

The tanΘ will be undefined at Θ = π/2, where 0≤Θ≤π and tanΘ will be undefined at  Θ = 3π/2 where π≤Θ≤2π.

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Answer: C

Step-by-step explanation:

Hope this helps. E2020

Answer: B.

Step-by-step explanation:

   First, we will solve both of these given inequalities for x by isolating the variables.

Given:

   6 + 3y < 9

Subtract 6 from both sides of the equation:

   3y < 3

Divide both sides of the equation by 3:

   y < 1

--

Given:

   4y > 3y + 2

Subtract 3y from both sides of the equation:

   y > 2

   Now, our given inequalities are y < 1 and y > 2. These inequalities are easier to view on the graph. We see that these are not equal to (≥ or ≤), so we will have open circles.

   First, we will graph y < 1. We will plot an open circle at y = 1 and then shade to the left of it. Net, we will graph y > 2. We will plot an open circle at y = 2 and then shade to the right of it. This leaves us with answer option B.