What is the x-coordinate of the point that divides the
directed line segment from Kto J into a ratio of 1:3?
K(9,2)
1 2 3 4 5 6 7 8 9 10 11 12 x
top Tuppo
OOOO
J (1.-10)

Answer:

[tex]c=11.8\ units[/tex]

Step-by-step explanation:

we know that

The formula of law of cosines is equal to

[tex]c^2=a^2+b^2-2(a)(b)cos(C)[/tex]

where

a, b and c are sides. C is the angle opposite side c

In this problem we have

[tex]a=3\ units\\b=10\ units[/tex]

[tex]C=120^o[/tex]

substitute the given values

[tex]c^2=3^2+10^2-2(3)(10)cos(120^o)[/tex]

[tex]c^2=109-(60)cos(120^o)[/tex]

[tex]c^2=109-(60)(-0.5))[/tex]

[tex]c^2=109+30[/tex]

[tex]c^2=139[/tex]

[tex]c=11.8\ units[/tex]

Answer:

Step-by-step explanation:

Explanation:

The product of two positive numbers is always positive.

So product of All positive numbers will be always positive.

For Example

( + ) × ( + ) = ( + )

The product of two negative number is always positive.

So product of even negative numbers will be always positive

For example

( - ) × ( - ) = ( + )

Also product of negative and positive is also given as a negative

( - ) × ( + ) = ( - )

and

( + ) × ( - ) = ( - )

Let the Six Positive numbers be

a, b ,c , d, e, f

So the Product of Six Positive numbers will be

[tex](+a)\times (+b)\times (+c)\times (+d)\times (+e)\times (+f)=\textrm{Positive Number}[/tex]

Let the Six Negative numbers be

-a, -b ,-c , -d, -e, -f

So the Product of Six Negative numbers will be

[tex](-a)\times (-b)\times (-c)\times (-d)\times (-e)\times (-f)=\textrm{Positive Number}[/tex]

Therefore the Product's Sign will be

a) Positive ; Positive

Answer:

c) Positive; Positive

Step-by-step explanation:

As we know it is a basic rule in mathematics, that if positive is multiplied by positive it gives a positive result always. So hence, from this rule it is proved that if we multiply 6 positive numbers, we will be getting the product which will be having positive sign. And in the second part of the questions, answer  is that if we multiply 6 negative numbers then the sign remains positive as we know it is also a basic rule in mathematics that when 2 negative numbers are multiplied by each and other then it will give a positive product. So the answer will remain 'c) Positive; Positive''

Answer:

Step-by-step explanation:

Answer - 8+(-5)= -13

Step-by-step explanation:

Answer:

[tex] {4}^{ - 3} \times {4}^{2} \times {4}^{5} = {4}^{ - 3 +2 + 5} = {4}^{4} [/tex]

False. The missing exponent is 4.

Answer:

150.72 cubic centimeter

Step-by-step explanation:

Given:-

Height of cone (h) = 9cm

Diameter of cone(d)=8cm

radius of cone(r)=[tex]\frac{d}{2}[/tex]=[tex]\frac{8}{2} =4cm[/tex]

To calculate= Volume of cone([tex]V_{cone}[/tex])

[tex]Volume\ of\ cone(V_{cone}) =\frac{1}{3} \times \pi \times r^{2} \times h[/tex]

[tex]=\frac{1}{3} \times 3.14\times 4^{2} \times 9[/tex]

Volume of cone([tex]V_{cone}[/tex]) [tex]=150.72\ cubic\ centimeter[/tex]

Therefore paper cone cup can hold 150.72 cubic centimeter of water.

The paper cone cup can indeed hold 150.72 cubic centimeters of water.

The paper cone cup can indeed hold 150.72 cubic centimeters of water. Let's break down the calculation:

1. Given dimensions:

  - Height of the cone (h) = 9 cm

  - Diameter of the cone (d) = 8 cm (which implies a radius (r) of 4 cm)

2. To calculate the volume of the cone, we'll use the formula:

[tex]\[ V_{\text{cone}} = \frac{1}{3} \pi r^2 h \][/tex]

3. Plugging in the values:

[tex]\[ V_{\text{cone}} = \frac{1}{3} \pi \cdot 4^2 \cdot 9 \][/tex]

4. Calculating:

[tex]\[ V_{\text{cone}} = \frac{1}{3} \cdot 3.14 \cdot 16 \cdot 9 = 150.72 \, \text{cubic centimeters} \][/tex]

Therefore, the paper cone cup can indeed hold 150.72 cubic centimeters of water.

Answer:

1 point

Step-by-step explanation:

The number of games in the tournament is:

₄C₂ = 6

Another way to look at it: Team 1 plays 3 games against Team 2, 3, and 4.  Then, Team 2 plays 2 games against Team 3 and 4 (Team 2 already played Team 1).  Finally, Team 3 plays a game against Team 4.  So the total is 3 + 2 + 1 = 6.

If there's a total of 6 games, then there's a total of 6 points.  So if x is the number of points Team 4 has:

x + 1 + 3 + 1 = 6

x + 5 = 6

x = 1

Team 4 has 1 point.

Answer:  THE ANSWER IS B (Sine ONLY)

Step-by-step explanation:i just did it on USAtestprep

Check the picture below.

Answer:

Millileters

Step-by-step explanation:

If it held 400 liters, it would be a pretty gigantic cup

Answer:

400 millieters

Step-by-step explanation:

because a cup is measured in milliters

Answer:

[tex]6.7\sqrt{2}\ in[/tex]

Step-by-step explanation:

Let x inches be the length of the side of the square. The area of the square is

[tex]x\cdot x=x^2\ in^2[/tex]

Then

[tex]x^2=44.89\\ \\x=6.7\ in[/tex]

By the Pythagorean theorem,

[tex]d^2=6.7^2+6.7^2\\ \\d^2=44.89+44.89\\ \\d^2=89.78\\ \\d=\sqrt{89.78}=6.7\sqrt{2}\ in[/tex]

Find the length of a side by taking the square root of the area:

Side = sqrt44.89 = 6.7 inches.

Now to find the length of the diagonal multiply the side length by the sqrt of2:

Diagonal = 6.7Sqrt(2) ( exact length)

As a decimal= 9.4752

Answer:

[tex]ec = \frac{6 \times 5}{4} = 7.5 [/tex]

To calculate Alia's hourly wage, you divide the total amount she earned ($585.60) by the total number of hours she worked (18.3 hours), which results in approximately $32 per hour. This question is related to the subject of Mathematics, specifically rates and ratios.

The subject of this question is Mathematics, specifically the sub-topic of rates and ratios, which includes calculating earnings per hour.

To calculate Alia's earnings per hour, we need to divide her total earnings by the number of hours she worked. Here's a step-by-step explanation:

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Answer:you would times everything on the inside by 5 im pretty sure

Step-by-step explanation:

1. non-random and biased.

2. random and unbiased.

Answer:

97-x

Step-by-step explanation:

100-(3+x)

= 100-3-x (- sign is multiplied with the both 3 and x)

= 97-x

Answer:

Step-by-step explanation:

x + 3 = 100

x = 100 - 3

x = 97

Answer:

1. First option.

2. First option.

3. First option.

Step-by-step explanation:

1. You need to remember that the Associative Property of Addition states the following:

[tex](a+b)+c=a+(b+c)[/tex]

Notice that you can group the numbers "a", "b" and "c" in any combination.

In this case, given the statement provided in the exercise:

[tex](2 + 3.4) + 6 = 2 + (3.4 + 6)[/tex]

You can identify that it ilustrates the Associative Property of Addition.

2. Remember that:

- Natural numbers are known as "Counting numbers".

- Whole numbers include positive numbers and zero.

 - Integers include the Whole numbers and the negative numbers.

- Rational numbers are those numbers that can be wriitten as a fraction:

[tex]\frac{a}{b}[/tex]

Where "a" is the numerator and "b" is the denominator.

 - Integers are a subset of Rational Numbers.

- Irrational numbers cannot be written as a fraction.

Based on this, you can conclude that [tex]\frac{1}{3}[/tex] is a Rational number.

3. The product is the result of a multiplication.

In this case the word "more than" indicates Addition.

Then, the product of 2 more than "y" and 7 can be expressed as:

[tex]7(y+2)[/tex]

Answer:

20 hours

Because 143.50/7= 20.5

Meaning the most she can work is 20 hours a week

The factored form of given expression is:

[tex]16x^2(x-3)(x+3)[/tex]

Step-by-step explanation:

The identity that can be used to factorize the given expression is:

[tex]a^2-b^2 = (a+b)(a-b)[/tex]

Given

[tex]16x^4-144x^2[/tex]

As 16 is a factor of both terms

[tex]=16x^2(x^2-9)[/tex]

Using the identity

[tex]=16x^2[(x)^2-(3)^2]\\=16x^2[(x-3)(x+3)][/tex]

Hence,

The factored form of given expression is:

[tex]16x^2(x-3)(x+3)[/tex]

Keywords: Factorization, polynomials

Learn more about polynomials at:

#LearnwithBrainly

Answer:

Option 3

Step-by-step explanation:

we know that

The solution show in the graph represent the interval [4,∞)

All real numbers greater than or equal to 4

In a number line the solution is the shaded area at right of x=4 (closed circle)

The number 4 is included in the solution set

therefore

Option 3

Answer:

Option B [tex]\frac{Kg*m^2}{s^2}[/tex]

Step-by-step explanation:

we know that

The formula to calculate the work is equal to

[tex]W=Fd[/tex]

where

W represents work

F represents force

d represents distance

The units are

[tex]F=(\frac{Kg*m}{s^2})[/tex] ---> Newtons

[tex]d=m[/tex] ---> meters

substitute the units in the formula

Remember that when multiply exponents with the same base, adds the exponents and maintain the same base

[tex](m)(m)=m^{1+1}=m^2[/tex]

so

[tex]W=(\frac{Kg*m}{s^2})(m)=(\frac{Kg*m^2}{s^2})[/tex]

Answer:

B

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

Final answer:

Cami must answer all 12 of the remaining questions correctly to achieve a final score greater than 80% on her exam, having already secured 70% correct from the first 20 questions.

Explanation:

Cami has answered 70% of the first 20 questions correctly, which means she has 14 correct answers. As the final exam has 32 questions in total (20 + 12), to achieve a final score greater than 80%, she needs to get more than 80% of 32 total questions correct, which is more than 25.6 correct answers. Since she cannot get a fraction of a question correct, she needs at least 26 correct answers in total. Given she has already 14 correct, she needs at least 12 more correct answers out of the remaining 12 questions to achieve this score.

The residual is 1.5

Step-by-step explanation:

Given the regression line equation as : y=1.2x +3.5

The formula for residual = Observed y-value - Predicted y-value

This gives the vertical distance from the actual plotted point to the point on the regression line. You should find how far the data fall from the regression line.

In this case, at y=5, from the graph, to get the vertical distance, perform subtraction as;

5.0 - 3.5 = 1.5

Learn More

Regression line: https://brainly.com/question/2235989

Keywords : residual, regression line, modeled, data

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Answer:

[tex]a_{87} = -1020[/tex]

Step-by-step explanation:

Given:

The given AP is.

12,0,-12,......

[tex]n=87[/tex]

The first term of an AP [tex]a=12[/tex]

Common difference [tex]d=0-12=-12[/tex]

We use the the formula for nth term of an AP.

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

for 87th term

[tex]a_{87} = 12+(87-1)(-12)[/tex]

[tex]a_{87} = 12+(86)(-12)[/tex]

[tex]a_{87} = 12+(-1032)[/tex]

[tex]a_{87} = 12-1032[/tex]

[tex]a_{87} = -1020[/tex]

Therefore, The 87th term of given series is -1020.

Answer:C

Step-by-step explanation: fixed cost = 10.47+4.25

Variable cost =1.35m

Total cost= 10.47+4.25+1.35m<=30

Answer:

Option C 10.47 +4.25 + 1.35m 2 30

Step-by-step explanation:

Data:

DoorDash charges a fee of =  $4.25

Fee per mile = $ 1.35

Cost of a meal = $ 10.47

The maximum number of miles is given by:

10.47 + 4.25  + 4.25 < 30

Therefore, option C is correct.

Answer:

5,46 inches per months

Step-by-step explanation:

1 year = 12 months

The average precipitation per month is :

65,52 inches ÷ 12 = 5,46 inches per months

HOPE THIS HELPED ;3

The predicted amount of precipitation received between the end of March and the end of June is 0 inches.

To predict the amount of precipitation received between the end of March and the end of June, we need to find the difference in total precipitation between those two months. According to the given information, the total precipitation in inches for each month is as follows:

March: 4 inches

April: 2 inches

May: 0 inches

June: 4 inches

To find the amount of precipitation received between the end of March and the end of June, we can subtract the total precipitation at the end of March from the total precipitation at the end of June:

Total precipitation at the end of June - Total precipitation at the end of March = 4 inches - 4 inches = 0 inches

Therefore, the predicted amount of precipitation received between the end of March and the end of June is 0 inches.

Answer:

The Area of the base is 16 cm² .

Step-by-step explanation:

Given as :

The surface area of the cuboid = x = 95 cm²

The lateral surface area of the cuboid = y = 63 cm²

Let The Area of the base = z cm²

Now, Let The length of cuboid = l cm

The breadth of cuboid = b cm

The height of cuboid = h cm

According to question

∵ The surface area of the cuboid = 2 ×(length × breadth + breadth × height + height × length)

Or, x = 2 ×(l × b + b × h + h × l)

Or, 95 =  2 ×(l × b + b × h + h × l)

Or,  (l × b + b × h + h × l) = [tex]\dfrac{95}{2}[/tex]          ....1

Similarly

∵lateral surface area of the cuboid = 2 ×(breadth × height + length × height)

Or, y = 2 ×(b × h + l × h)

Or, 2 ×(b × h + l × h) = 63

Or, (b × h + l × h) = [tex]\dfrac{63}{2}[/tex]              ......2

Putting value of eq 2 into eq 1

so,  (l × b +  [tex]\dfrac{63}{2}[/tex] ) = [tex]\dfrac{95}{2}[/tex]    

Or, l × b = [tex]\dfrac{95}{2}[/tex] - [tex]\dfrac{63}{2}[/tex]    

Or,  l × b = [tex]\dfrac{95 - 63}{2}[/tex]

i.e l × b = [tex]\dfrac{32}{2}[/tex]

so, l × b = 16

Now, Again

∵The Area of the base = ( length × breadth ) cm²

So, z =  l × b

i.e z = 16 cm²

So, The Area of the base = z = 16 cm²

Hence,The Area of the base is 16 cm² . Answer

Final answer:

The diameter of the pizza is 14 inches, its circumference is approximately 43.98 inches, and its area is about 153.94 square inches, calculated using fundamental geometry formulas for circles.

Explanation:

A pizza with a radius of 7 inches is given, and we are tasked with determining its diameter, circumference, and area. These are fundamental geometry calculations related to circles.

The diameter of a circle is twice its radius. So, the diameter of the pizza is 2 × 7 inches = 14 inches.

The circumference of a circle is calculated as π (Pi) times its diameter.

Therefore, the circumference of the pizza is π × 14 inches ≈ 43.98 inches (using π = 3.1416).

The area of a circle is given by π times the square of its radius (πr²).

Hence, the area of the pizza is π × 7² inches² ≈ 153.94 square inches.

These calculations provide a complete geometric understanding of the pizza's properties in terms of diameter, circumference, and area.

The perimeter of a square is calculated by multiplying the length of one side by 4.

The perimeter of a square is the sum of all four sides. Since a square has equal sides, you can find the perimeter by multiplying the length of one side by 4. The formula for the perimeter of a square is P=4s, where P is the perimeter and s is the length of one side.

For example, if the length of one side is 5 units, the perimeter would be 4 * 5 = 20 units. If the length of one side is 8 centimeters, the perimeter would be 4 * 8 = 32 centimeters.

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Answer:

4.8 Liters.

Step-by-step explanation:

When pressure is kept constant the volume of a certain quantity of gas is proportional to the absolute temperature of the gas.

So, [tex]\frac{V_{f} }{T_{f}} = \frac{V_{i} }{T_{i}}[/tex] .......... (1)

Where, f denotes the final and i denotes the initial values.

Now, [tex]V_{i} = 3[/tex] Liters,

[tex]T_{i} = 25 + 273 = 298 K[/tex] and  

[tex]T_{f} = 200 + 273 = 473 K[/tex]

Therefore, from equation (1) we get,

[tex]V_{f} = \frac{3 \times 473}{298} = 4.76[/tex] Liters ≈ 4.8 Liters. (Answer)