The square of the difference between a number and 10.

Answer:

Choice A

Step-by-step explanation:

Negative times negative equals positive, is -21 would change to positive 21

Hope this helps!

Answer:

HL

Step-by-step explanation:

The HL Therom only proves right triangles are congruent and since both triangles are right triangles, HL can work here.

Answer:

20 feet

Step-by-step explanation:

\(\frac{80 feet}{40 seconds}\)  = \(\frac{x feet}{10 seconds}\)

Simplify \(\frac{80}{40}\)

\(\frac{80}{40}\) = \(\frac{2}{1}\)

Every 1 second, a person will walk 2 feet.

\(\frac{x}{10}\) = \(\frac{20}{10}\)

X = 20 feet

Answer:

20 feet

Step-by-step explanation:

We can solve this two different ways:

The 1st and easiest way would be to first divide \(40/10\) to get \(4\), and then divide \(80/4\) to get \(20\).

This method works well in this situation because all the numbers are easily divisible, but in some situations this method may give you decimals which would make things more difficult.

In a situation like that, you would create a simple equation using this format: \(y=m(x)\) in which \(y\) represents the total number of feet walked, \(m\) represents the number of seconds, and \(x\) represents number of feet walked per minute.

You would start by finding out the number of feet walked per minute. You do this by plugging the information you know into the equation. We know that the person walks 80 feet in 40 seconds so the equation would look like this: \(80=40x\)

To solve for \(x\), you would then divide 40 on both sides to get \(2=x\)

Now that we know that the person walks 2 feet every second, we can plug the information into a new equation to find out how far they go in 10 seconds. This equation will look like this: \(y=10(2)\) and we can solve it to learn that \(y=20\). This means that the person will walk 20 feet in 10 seconds.

The original price of the salt lapm os $80.

Let's assume that the original price of the salt lamp is P, if we apply a discount of x (a percentage in decimal form) then the new price will be:

P' = P*(1 - x)

Here we know that the discount is of 25%, then x = 0.25

And the final price is $60, then we can write:

$60 = P*(1 - 0.25)

Now we can solve this for P.

$60 = P*0.75

$60/0.75 = P

$80 = P

That is the original price.

Learn more about discounts at:

https://brainly.com/question/843074

#SPJ1

Since the woman is jogging at 6 mi/h, in 10 minutes she will have jogged:

in a similar way, we can find the distance that the man traveled in 10 minutes, considering his speed of 12 mi/h:

since the woman traveled 1 mile and the man traveled 2 miles, we have that after 10 minutes, they are 1+2= 3 miles apart

There are 5,814 different arrangements of first, second, and third place possible among 19 students.

We have,

To find the number of different arrangements of first, second, and third place among 19 students, we can use the permutation formula:

P(n, r) = n! / (n - r)!

where n is the total number of objects and r is the number of objects we want to arrange in a specific order.

In this case, we want to arrange 3 students (first, second, and third place) out of a total of 19, so we can write:

P(19, 3) = 19! / (19 - 3)!

= 19! / 16!

= 19 x 18 x 17

= 5,814

Therefore,

There are 5,814 different arrangements of first, second, and third place possible among 19 students.

Learn more about permutations here:

https://brainly.com/question/1216161

#SPJ1

a) The probability that he receives no job offers is given as follows: 0.0001.

b) The probability that he receives at least one job offer is given as follows: 0.9999.

c) The expected number of job offers is given as follows: 5.6.

The mass probability formula for the number of successes x in n trials is defined by the equation presented as follows:

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

The parameters, along with their meaning, are presented as follows:

The parameter values for this problem are given as follows:

n = 8, p = 0.7.

Hence the expected value is given as follows:

E(X) = np = 8 x 0.7 = 5.6.

The probability of no offers is:

\(P(X = 0) = (1 - 0.7)^8 = 0.0001\)

Hence the probability of at least one job offer is given as follows:

1 - P(X = 0) = 1 - 0.0001 = 0.9999.

More can be learned about the binomial distribution at https://brainly.com/question/24756209

#SPJ4

Answer:

7/10

Step-by-step explanation:

Answer:

Step-by-step explanation:

It has 3 terms so it is a trinomial.

It can also be called a quadratic.

Answer:

a trinomial.

If that is what ur asking for

Step-by-step explanation:

2x+7y+2z+10=0 is the equation of the plane passing through A(-2, 0, -3) and B(1, -2, 1) that lies parallel to the line through C(-2, -13/5, 26/5) and D(16/5, -13/5, 0).

The equation of the plane passing through a point (a,b,c) can be written as A(x-a) + B(y-b) + C(z-c) = 0, where A, B and C are the coefficients of the normal vector to the plane.

So, the equation of the plane passing through a point (-2,0,-3) can be written as A(x+2) + B(y) + C(z+3) = 0,...i)

Now the plane also passes through the point (1,-2,1) so A(1+2) + B(-2) + C(1+3) = 0,

So, 3A-2B+4C=0.........ii)

Now, the direction cosines of CD is

l= 16/5 +2= 26/5

m= -13/5+13/5 = 0

n= 0-26/5 = -26/5

For a plane and line to be perpendicular Dot product of the direction cosines must be zero

or A*26/5 +  B*0 + C*-26/5=0

or, A=C.....iii)

Putting this in i) 7A-2B=0 or, A=2B/7....iv)

putting iii) and iv)

A(x+2) + B(y) + C(z+3) = 0

or, A(x+2) + B(y) + A(z+3) = 0

or, 2*B*(x+2)/7 + B(y) + 2*B*(z+3) /7= 0

or 2*(x+2)/7 + y + 2*(z+3) /7= 0

or 2x+7y+2z+10=0

learn more about equation of plane here https://brainly.in/question/15489710

#SPJ11

Considering the areas of the circle and of the triangle, there is a 61.2% probability that the selected point will land on the white.

The area of a circle of radius r is given by:

\(A = \pi r^2\)

For this problem, the radius is of r = 4 cm, hence the area of the circle is:

A = 16π cm².

The area of a triangle is given by the half the multiplication of the base and the height.

For this problem, the base is of 6 cm, with a height of 4 + 2.5 = 6.5 cm, hence the area is:

A = 0.5 x 6 x 6.5 = 19.5 cm²

The white area is given by the area of the circle subtracted by the area of the triangle, hence:

A = 16π - 19.5.

The total area is the area of the circle, hence the probability is given by:

p = (16π - 19.5)/16π = 0.612.

61.2% probability that the selected point will land on the white.

More can be learned about probabilities at https://brainly.com/question/14398287

#SPJ1

Answer:

400

Step-by-step explanation:

so its actually really easy, take 10x10 and then multiply that by 12 and then divide by the exponent so in this case 10x10x12 then divide by 3

Answer: 400

Step-by-step explanation: 10*10*12/3

Answer:

Circunferencie can be writen also as a fuction of the diameter of the circle

C = pi*D

Where

D = circunferene diameter

Step-by-step explanation:

C = 2.pi.R = 2.R.pi

In a circle 2.R = D

So,

C = pi.D

Answer:

y = -2

Step-by-step explanation:

4(3y+3)+3(3y-2)

12y+12+9y-6

12y+9y+12-6

3y+6

3y=-6

y=-6/3

y=-2

Answer: r = -39

Step-by-step explanation:

The Objective Line Method is one of the approaches for solving linear programming problems. It involves graphically representing the constraints of a problem and using an objective line to find the optimal solution

The Objective Line Method is a graphical technique used to find the optimal solution of a linear programming problem. It involves drawing a straight line that represents the objective function of the problem and moving it parallel to itself until it intersects the feasible region. The point of intersection is the optimal solution to the problem. The objective line method can be used for both maximization and minimization problems. To use the Objective Line Method, the first step is to graph the feasible region of the problem. The slope of the objective line depends on the coefficients of the objective function. The point of intersection is the optimal solution to the problem.

The Objective Line Method is a graphical technique used to find the optimal solution of a linear programming problem. It involves drawing a straight line that represents the objective function and moving it parallel to itself until it intersects the feasible region. The point of intersection is the optimal solution. To use this method, the feasible region and objective function must be graphed on a coordinate plane.

To know more about linear visit:-

https://brainly.com/question/29082894
#SPJ11

The perimeter of the figure is equivalent to 8x + 8

The given diagram is a composite figure. The perimeter of the figure is the sum of all the sides.

Taking the sum of all the sides

Sum = 3x - 2 + (x + 6) + (x + 5) + x + (x + 2) + (x - 3)

Sum = (3x + x + x + x + x + x) - 2 + 6 + 5 + 2 - 3

Sum = 8x + 4 + 7 - 3

Sum = 8x + 8

Hence the sum of the perimeter of the figure is 8x + 8

Learn more on perimeter of the figure here: https://brainly.com/question/29364161

#SPJ1

Answer:

3+2x or 2x+3

Step-by-step explanation:

Answer:

Step-by-step explanation:

x=150

Answer:

x=150

Step-by-step explanation:

you have to add 130 + 20= x

and x=150 so..

The values of Z such that e² = 2 + i√3 are Z = ln(2 + i√3) + 2πik, where k is an integer.

To find the values of Z, we can start by expressing 2 + i√3 in polar form. Let's denote it as re^(iθ), where r is the modulus and θ is the argument.

Given: 2 + i√3

To find r, we can use the modulus formula:

r = sqrt(a^2 + b^2)

= sqrt(2^2 + (√3)^2)

= sqrt(4 + 3)

= sqrt(7)

To find θ, we can use the argument formula:

θ = arctan(b/a)

= arctan(√3/2)

= π/3

So, we can express 2 + i√3 as sqrt(7)e^(iπ/3).

Now, we can find the values of Z by taking the natural logarithm (ln) of sqrt(7)e^(iπ/3) and adding 2πik, where k is an integer. This is due to the periodicity of the logarithmic function.

ln(sqrt(7)e^(iπ/3)) = ln(sqrt(7)) + i(π/3) + 2πik

Therefore, the values of Z are:

Z = ln(2 + i√3) + 2πik, where k is an integer.

The values of Z such that e² = 2 + i√3 are Z = ln(2 + i√3) + 2πik, where k is an integer.

To know more about polar form visit

https://brainly.com/question/30824428

#SPJ11

the unit rate of the crackers will be $0.233.

What is Rate?

A rate in arithmetic is a ratio that contrasts two separate values with various unit systems. For instance, if John types 50 words per minute, that means he types 50 words per minute. We are dealing with a rate because the word "per" is there. The symbol "/" can be used in place of the word "per" in issues.

When two or more similar amounts or numbers are being compared using the same units, a ratio is utilized. When referring to the ratio of one quantity "to" the second quantity in spoken language, it is frequently written with a colon.

A certain brand of crackers costs $2. 89 for 12. 4 ounces.

So per 1 ounce it will cost = 2.89/12.4 = 0.233

Hence the unit rate of the crackers will be $0.233.

Learn more about Rate , by the following link.

https://brainly.com/question/25793394

#SPJ4

Answer:

See explanations below

Step-by-step explanation:

Given the quadrilateral ABCD

A(3,0),B(-4,4),C(-7,0) and D(-3,-5)

The sides of the quadrilateral are AB, BC, CD and AD

The midpoint coordinate of the line is expressed as;

X = x1+x2/2

Y = y1+y2/2

Given A(3,0),B(-4,4)

Midpoint of AB = (3-4/2, 0+4/2)

midpoint of AB = (-0.5, 2)

Given B(-4, 4),C(-7, 0)

Midpoint of BC = (-4-7/2, 4+0/2)

midpoint of BC = (-11/2, 4/2)

Midpoint of BC = (-5.5, 2)

Given C(-7, 0) D(-3,-5)

Midpoint of CD = (-7-3/2, 0-5/2)

midpoint of CD = (-10/2, -5/2)

Midpoint of CD = (-5, -2.5)

Given A(3,0),D(-3, -5)

Midpoint of AD = (3-3/2, 0-5/2)

midpoint of AD = (0/2, -5/2)

Midpoint of AD = (0, -2.5)

Answer:

1:3:4

Step-by-step explanation:

\(\frac{5}{5}: \frac{15}{5}: \frac{20}{5}=1:3:4\)

Answer:

Im pretty sure its 5

Step-by-step explanation:

5:1 due to 20/4 would be 5. I can give you more of an explaination if needed.

Answer:

5 triangles to 4 circles.

The absolute value inequality for the hearing range of each animal is mod(e - 6008) ≤ 5992 and mod(m - 46000) ≤ 45000, respectively.

An absolute value equation has no solution if the absolute value expression equals a negative number since an absolute value can never be negative. You can write an absolute value inequality as a compound inequality. This holds true for all absolute value inequalities. You can replace > above with ≥ and < with ≤.

To solve absolute-value inequalities, first, we must drop the absolute-value bars and restate the inequality in one of two ways, depending on the case.

According to the question,

The elephant can hear: 16 ≤ e ≤ 12000

The avg hearing = (12000 + 16)/2 = 6008

Tolerance = 12000 - 6008 = 5992

Therefore, the value absolute value inequality for the hearing of the elephant is mod(e - 6008) ≤ 5992.

Similarly,

The mouse can hear: 1000 ≤ e ≤ 91000

The avg hearing = (12000 + 91000)/2 = 46000

Tolerance = 46000 - 1000 = 45000

Hence, the value absolute value inequality for the hearing of the mouse is mod(m - 46000) ≤ 45000.

To know more about absolute value inequality, here

https://brainly.com/question/30201926

#SPJ4

Answer:

A, 4 + 12i

Step-by-step explanation:

The option that describes the Coriolis effect is D. the direction of air currents in the Northern and Southern Hemispheres.

The effect of the Earth's rotation on weather patterns and ocean currents is known as the Coriolis effect. Storms swirl clockwise in the Southern Hemisphere and counterclockwise in the Northern Hemisphere due to the Coriolis effect. Circulating air is deflected to the right in the Northern Hemisphere and to the left in the Southern Hemisphere as the Earth rotates on its axis. The Coriolis effect refers to this deflection.

The rotation of the Earth causes the Coriolis effect. Moving objects in the Northern Hemisphere tend to curve to the right of their intended paths; moving objects in the Southern Hemisphere tend to curve to the left of their intended paths. The Coriolis effect causes moving objects to accelerate or decelerate.

Therefore, based on the information given, it should be noted that the correct option is D.

Learn more about Coriolis effect on:

https://brainly.com/question/1557014

#SPJ1

Answer:

Train B is traveling faster.

Step-by-step explanation:

To find which train is faster, divide the distance the train traveled by the elapsed time for each train:

Train A:

Distance traveled is 12.5 meters.

Elapsed time is 1 second.

12.5 ÷ 1 = 12.5

Train A travels 12.5 meters per second.

Train B:

Distance traveled is 100 meters.

Elapsed time is 4 seconds.

100 ÷ 4 = 25

Train B travels 25 meters per second.

25 is greater than 12.5, so train B travels faster.