982,399,895,054
Select the place where the digit 3 sits in this number.

Given:

Three integers, a, b, and c, where c is a positive integer.

The product of a and b is 6.

The product of a and c is -4.

The product of b and c is -6.

To find:

The values of a,b and c.

Solution:

According to the given information:

[tex]ab=6[/tex]        ...(i)

[tex]ac=-4[/tex]       ...(ii)

[tex]bc=-6[/tex]      ...(iii)

From (ii), we get

[tex]a=-\dfrsc{4}{c}[/tex]          ...(iv)

From (iii), we get

[tex]b=-\dfrsc{6}{c}[/tex]         ...(v)

Putting [tex]a=-\dfrsc{4}{c}[/tex]  and [tex]b=-\dfrsc{6}{c}[/tex] in (i), we get

[tex]\dfrac{-4}{c}\times \dfrac{-6}{c}=6[/tex]

[tex]\dfrac{24}{c^2}=6[/tex]

[tex]\dfrac{24}{6}=c^2[/tex]

[tex]4=c^2[/tex]

Taking square root on both sides, we get

[tex]\pm \sqrt{4}=c[/tex]

[tex]\pm 2=c[/tex]

It is given that c is a positive integer. So, it cannot be negative and the only value of c is [tex]c=2[/tex].

Putting [tex]c=2[/tex] in (iv), we get

[tex]a=-\dfrsc{4}{2}[/tex]

[tex]a=-2[/tex]

Putting [tex]c=2[/tex] in (v), we get

[tex]b=-\dfrsc{6}{2}[/tex]

[tex]b=-3[/tex]

Therefore, the values of a,b,c are [tex]a=-2,b=-3,c=2[/tex].

Answer: multiply and round I'm pretty sure tell me if u want me to multiply for u

Step-by-step explanation:

Answer:

the top answer or A. if it was labeled

Step-by-step explanation:

because my guy it is simple math

Answer:

Answer: 10240

Step-by-step explanation:

640 x 16 = 10240

1 Pound = 16 Ounces

Answer:

Step-by-step explanation:

Slope:

[tex]\sf{\dfrac{y_2-y_1}{x_2-x_1}}[/tex]

y2=3

y1=8

x2=5

x1=(-1)

3-8/5-(-1)

3-8=(-5)

5-(-1)=5+1=6

M=-5/6

The slope is m=-5/6.

Answer:

Graph B is a valid density curve because the curve is above the horizontal axis, and the area under the curve is 1.

Step-by-step explanation:

A density curve is a graph that shows probability.

There are a few properties that those curves have:

The curves are normalized, which means that the area inside the curve is always equal to 1  (or the 100% of possibilities).

And the probabilities are always defined with positive numbers between 0 and 1, which means that we can not have a density curve with elements below the horizontal axis.

From this, we can conclude that graph A is not a density curve (but neither of the two given options for graph A are correct, then we can discard these).

Now let's look at graph B.

We can see that all points are above the horizontal axis, so that is good.

Now let's compute the area inside the curve.

We can see two triangles, remember that the area of a triangle of base b and height h is:

A = (b*h)/2

To calculate the base in the image, just take the difference between the rightmost vertex and the left vertex.

The base of the left triangle is b = (-3 - (-5)) = 2, and the height is h = 0.25

Then the area is:

A1 = (2*0.25)/2 = 0.25

The base of the right triangle is b = (3 - (-3)) = 6, and the height is h = 0.25

Then the area of this triangle is:

A2 = (6*0.25)/2 = 0.75

If add these areas, we get:

Total area = A1 + A2 = 0.25 + 0.75 = 1

Total area = 1

So we have an area under the curve equal to 1, which means that graph B is a valid density curve.

And the correct option is then:

Graph B is a valid density curve because the curve is above the horizontal axis, and the area under the curve is 1.

Answer:

x = 16

Step-by-step explanation:

please mark this answer as brainlest

Answer:

42-x=58

-x=58-42

x=-58+42

x=-16

Answer:

15

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

6×3−3

Multiply 6 and 3 to get 18.

18−3

Subtract 3 from 18 to get 15.

15

Answer:

4 quarts = 1 gallon

Step-by-step explanation:

Hope that hleps

1 quart = 1/4 gallon

Multiply the number of quarts by 4 to find the number of gallons.

Answer:

B and C

Step-by-step explanation:

Sin 45 or Cosine 45.

The trigonometric ratios that Garret could use to describe the relationship between these two sides are sin 30°and  cos 60°.

Trigonometric ratios are the ratios which is described for two sides of a right angled triangle.

The main three trigonometric ratios are sine, cosine and tangent functions.

here, we have,

Given that,

Garret makes a ramp for his skateboard in the shape of a right triangle.

Also given that,

length of the hypotenuse = 2 feet

Length of a leg = 1 feet

Using Pythagoras theorem,

Length of other leg = √(2² - 1²) = √3

45°-45°-90° triangle ratio is 1 : 1 : √2.

30°-60°-90° triangle ratio is 1 : √3 : 2.

Given triangle has the side ratio 1 : √3 : 2. So this is a 30°-60°-90° triangle.

The trigonometric ratio used must include the hypotenuse.

So sin and cos can only be used.

Hence the trigonometric ratios used are sin 30°and  cos 60°.

Learn more about Trigonometric Ratios here :

brainly.com/question/23130410

#SPJ2

Complete question:

Garret makes a ramp for his skateboard in the shape of a right triangle with a hypotenuse of 2 ft, and a leg of 1 ft. He wants to use a trigonometric ratio to describe the relationship between these two sides. Select all of the expressions that he could use.

A. sin 30°

B. cos 45°

C. tan 30°

D. sin 45°

E. cos 60°

F. tan 45°

Division is one of the four fundamental arithmetic operations. The number of machines that will be needed to produce 1,984 printers in a day is 32 machines.

The division is one of the four fundamental arithmetic operations, which tells us how the numbers are combined to form a new one.

Given that 20 machines produce 1,240 printers in a day. Therefore, the rate of production for a single machine can be written as,

Rate of production for a day = 1240/20 = 62 printer per machine

Now, the number of machines that will be needed to produce 1,984 printers in a day is,

Rate of production for a day = 1,984 / Number of machine

62 = 1984 / Number of machine

Number of machines = 32 machines

Hence, the number of machines that will be needed to produce 1,984 printers in a day is 32 machines.

Learn more about Division:

https://brainly.com/question/369266

#SPJ2

Answer:

D

Step-by-step explanation:

-22°F+27°F=5°F

have a nice day or evening

Answer:

D

Step-by-step explanation:

I took the test

YOU DO NOT NEED TO SOLVE AS SEEN IN THE PROBLEM ON THE PAPER

Answer:

x=6

Step-by-step explanation:

x=21+15

 -21   -21

x=6

Answer:

x = 6

Step-by-step explanation:

5x - 7 and 23 are vertical angles and are congruent , then

5x - 7 = 23 ( add 7 to both sides )

5x = 30 ( divide both sides by 5 )

x = 6

There are 42 teachers 30 male 12 female. 30:12.  male teachers to the total number of teachers 42:30. total of teachers to the female teachers 42:12

Answer:

he saves 3 dollars. its not worth it.

Step-by-step explanation:

you divide 12 by ten getting you 1.2 which you subtract from 1.50 that then multiply that by 10

Answer:

The inequality represents the maximum amount of t-shirts she could buy is:

30x+9y≤75

Step-by-step explanation:

With the information provided, you can say that the result of adding up the price per jean for the number of jeans plus the price per shirt for the number of shirts has to be less than or equal to 75, which can be represented as:

30x+9y≤75, where

x is he number of jeans purchased

y is he number of shirts purchased

Answer:

Radius of P = 5 cm

Step-by-step explanation:

Radius (r) of Q = 20 cm

Area of Q = 4 × Area of P

This means that:

Area of the quarter circle (Q) = 4 × Area of the circle (P)

Thus:

¼(πr²) = 4 × πr²

Plug in the values into the equation

¼(π*20²) = 4 × πr²

Find the value of r, which is the radius of P

¼(400π) = 4πr²

Multiply both sides by 4

400π = 4πr²*4

400π = 16πr²

Divide both sides by 16π

400π/16π = r²

25 = r²

Take the square root of both sides

√25 = √r²

5 = r

r = 5

Therefore, the radius of P = 5 cm

Answer:

x = 17.1°

Step-by-step explanation:

tan x = 4/13 = 0.3077

x = 17.1°

The measure of the angle θ from the given triangle is 17.9°.

The sides and angles of a right-angled triangle are dealt with in Trigonometry. The ratios of acute angles are called trigonometric ratios of angles. The six trigonometric ratios are sine (sin), cosine (cos), tangent (tan), cotangent (cot), cosecant (cosec), and secant (sec).

From the given triangle, AC=13 and BC=4 units.

We know that, sinθ=Opposite/Hypotenuse

sinθ= 4/13

sinθ= 0.3076

θ=17.9°

Therefore, the measure of the angle θ from the given triangle is 17.9°.

Learn more about the trigonometric ratios here:

brainly.com/question/25122825.

#SPJ2

The solution to the inequality is x is less than 4.

What is inequility ?

An inequality is a mathematical statement that expresses a relationship between two values or expressions that are not necessarily equal. Inequalities are often used in mathematics to compare values, express constraints or limitations, and solve problems involving ranges of values.

To solve the inequality -2x - 3 > -11, we can start by isolating the variable x.

-2x - 3 > -11

Add 3 to both sides:

-2x > -8

Divide both sides by -2 (and flip the inequality because we're dividing by a negative number):

x < 4

So the solution to the inequality is x is less than 4.

To know more about inequility visit :

https://brainly.com/question/30238989

#SPJ1

Answer:

v fggfbfgbfgbgbfgb

Step-by-step explanation:fgfgbgfbfg

Answer:

2140

Step-by-step explanation:

Median can be described as the number that lies in the middle of a set of arranged observations. the observations can be arranged in ascending or descending order

in a set of 5 numbers, the median would be the 3rd number

the median is 2141. there was to be 2 numbers before and after 2141

1956, x 2141, 2250, 2647

the largest possible value of x is 2140. this is the largest number that is less than 2140

Answer:

on the second line below zero

Step-by-step explanation:

It’s a negative 0.6 right?

Answer:

-0.6 would be the third line down

Step-by-step explanation:

If you're counting down from 0 go by -0.2

-0.2

-0.4

-0.6

Answer:

Independent events i believe

Step-by-step explanation:

answer

measure of o is 75

and n is same as o as the sides are same

hope this helps you

Answer:

number 2 is the answer or 4*pi inches² or 12.6

Step-by-step explanation:

Answer:

18.18

Step-by-step explanation:

total sum of angle of quadrilateral is 360

70+60+ 7x-4+4x-3=360

160-7 +11x =360

153 +11x =360

11x=360-153

x=207/11

x=18.18

Answer:

-22x - 1

Step-by-step explanation:

(-12x+(-13)) - (10x+(-12))        

(-12x-13) - (10x-12)           Take away the plus sign since addition of a negative is            the same as subtraction.

(-12x-10x) + (-13+12)          Put like terms together.

-22x - 1                             Simplify

Answer:the answer is -22x-1 hope that helps

Step-by-step explanation:

Answer:

c

Step-by-step explanation: