Is 656250 divisible by 10?

The probability, if Greg gets dressed in the dark, that he winds up wearing the white shirt and tan pants is 0.125 or 12.5%.

To find the probability that Greg winds up wearing the white shirt and tan pants while getting dressed in the dark, we need to find out all the possible outfit options. According to the question given, first we nned to find out number of outfit combinations possible.

Total number of Outfit Combinations:

There are 4 shirts: a white one, a black one, a red one, and a blue one and also two pairs of pants, one blue and one tan. So, total number of possible outfit combinations would be 4 * 2 = 8.

No of favourable options:

As given in the question, Greg wears white shirt and tan pants. There is only one white shirt and one tan pant. So, number of favourable options would be only 1 .

Probability = Number of favourable outcomes/Total no. of combinations

Probability = 1/8

Probability = 0.125 or 12.5%

Therefore, the probability, if Greg gets dressed in the dark, that he winds up wearing the white shirt and tan pants is 0.125 or 12.5%.

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Answer:

Area of a triangle is 100 in²

Height of triangle is 10 in .

we have been asked to find the length of its base .

Formula Used to Find length of its base

☯\( \bf\: Area \: of \: triangle \: = \dfrac{1}{2} \times base \: \times height \: \)

Put the given value we obtain

\( \rm \implies \: 100 = \dfrac{1}{2} \times base \: \times 10 \\ \\ \rm \implies \: 100 = \dfrac{1}{ \cancel2} \times base \: \times \cancel{10} \\ \\ \rm \implies \: 100 = base \: \times 5 \\ \\ \rm \implies \: base \: = \dfrac{100}{5} \\ \\ \rm \implies \: base \: = \cancel\dfrac{100}{5} \\ \\ \rm \implies \: base \: = 20 \: inch\)

So, the length of its base is 20 inch .

The base length of the triangle with the given values of area and length of height to the nearest inch 20in.

A triangle is a two-dimensional shape with three edges and three vertices.

The area of a triangle is expressed as;

A = (1/2) × base × height

Given the data in the question;

We substitute our given values into the expression above.

A = (1/2) × base × height

100in² = (1/2) × Base × 10in

100in² = 0.5 × 10in × Base

100in² = 5in × Base

Base = 100in² / 5in

Base = 20in

Therefore, the base length of the triangle with the given values of area and length of height to the nearest inch 20in.

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Answer:

A

Step-by-step explanation:

Answer:

116.83 or 116.8

Step-by-step explanation:

Hey there! I'm happy to help!

We have two values for y. Since y=y, this means that −2x + 4 and − 1/3x − 1 are equal as well, so we can put them in an equation and solve for x.

−2x + 4 = − 1/3x − 1

We subtract 4 from both sides.

-2x=-1/3x-5

We add 1/3 x to both sides.

-5/3x=-5

We divide both sides by -1 2/3.

x=3

Now, we plug this into one of the original equations to find y.

y=-2(3)+4

y=-6+4

y=-2

Therefore, the solution is (3,-2) or x=3 and y=-2.

I hope that this helps! Have a wonderful day! :D

Answer:

40000000000000000000

Step-by-step explanation:

Answer:

Step-by-step explanation:

Product of the two numbers above:

Answer:

Step-by-step explanation:

jjkk[

Answer:

65 degrees

Step-by-step explanation:

the lines are at 0 degrees and between 60 and 70 so it's 65 degrees.

Answer:

a. \(f^-^1(x)=\frac{x}{4} +3\)

b. \(f(-9)=-48\)

c. \(f^-^1(-9)=\frac{3}{4}\)

Step-by-step explanation:

In a, the -1 means inverse of f(x). To find the inverse, you rewrite the equation in terms of x and y. You replace the x with y and y with x. Then you solve for y.

\(f^-^1(x)=4x-12\)

\(y=4x-12\)

\(x=4y-12\)

\(x+12=4y\)

\(\frac{x}{4} +3=y\)

\(f^-^1(x)=\frac{x}{4} +3\)

In b, all you have to do is plug in -9 into f(x).

\(f(9)=4(9)-12\)

\(f(9)=-48\)

In c, you plug in -9 into inverse function f.

\(f^-^1(-9)=\frac{3}{4}\)

The masses between the Earth and the Moon found using the Newton's law of universal gravitation, whereby the gravitational force between them is 1.682 × 10²⁶ N, and the mass of the Moon is about 7.1 × 10²² kg, is about 411,144.67 meters'

The Newton's law of universal gravitation indicates that formula for finding the gravitational force F between two objects, can be expressed as follows;

F = G·(m₁·m₂)/d²

Where;

F = The gravitational force

G = The gravitational constant

m₁ and m₂ are the mass of the two objects

d = The distance between them

Where

F = 1.682 × 10²⁶ N·m²·kg⁻²

G = 6.67430 × 10⁻¹¹ N·m²·kg⁻²

m₁ = 6 × 10²⁴ kg

m₂ = 7.1 × 10²² kg

Plugging in the above values into the Newton's law of universal gravitation, we get;

1.682 × 10²⁶ = 6.67430 × 10⁻¹¹ × (6 × 10²⁴ × 7.1 × 10²²)/d²

d² = 6.67430 × 10⁻¹¹ × (6 × 10²⁴ × 7.1 × 10²²)/1.682 × 10²⁶ ≈ 169039940547

d ≈ √(169039940547) ≈ 411144.67

The distance between the Earth and the Moon, found using the specified masses is about 411144.67 meters.

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Part A

The x intercepts always occur when y = 0.

The two x intercepts are at the locations (-2, 0) and (2, 0)

We can shorten that to p = -2 and q = 2

The intercept form of a quadratic is y = a(x-p)(x-q)

So we have y = a(x-(-2))(x-2) which turns into y = a(x+2)(x-2)

Plug in x = 0 and y = -4 from the y intercept and solve for 'a'

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

-4 = a(0+2)(0-2)

-4 = a(2)(-2)

-4 = -4a

a = -4/(-4)

a = 1

We go from y = a(x+2)(x-2) to y = (x+2)(x-2) which is one possible answer.

Let's expand that out using the FOIL rule

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

y = x*x - 2*x + 2*x + 2(-2)

y = x^2 - 2x + 2x - 4

y = x^2 - 4 is another possible answer

-----------------------

The two possible answers are:

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

y = x^2 - 4

=============================================================

Part B

We have p = -7 and q = -1 as the x intercepts. They occur when y = 0.

y = a(x-p)(x-q)

y = a(x-(-7))(x-(-1))

y = a(x+7)(x+1)

Plug in x = 0 and y = 7. Solve for 'a'

y = a(x+7)(x+1)

7 = a(0+7)(0+1)

7 = a(7)(1)

7 = 7a

a = 7/7

a = 1

We go from y = a(x+7)(x+1) to  y = (x+7)(x+1)

Expanding that out gets us

y = (x+7)(x+1)

y = x*x + 1x + 7x + 7*1

y = x^2 + 8x + 7

-----------------------

The two possible answers are:

y = (x+7)(x+1)

y = x^2 + 8x + 7

Answer:

a.

• In standard form : x² - 4 = 0

• In factored form : (x - 2)(x + 2) = 0

b.

• In factored form : (x + 7)(x + 1) = 0

• In standard form :  x² + 8x + 7 = 0

Step-by-step explanation:

a)  Consider the quadratic expression:

P(x) = ax² + bx + c

• (0 , -4) ∈ Table ⇒ P(0) = -4 ⇒ a(0)² + b(0) + c = -4

⇒ c = -4

• (-1 , -3) ∈ Table ⇒ P(-1) = -3 ⇒ a(-1)² + b(-1) - 4 = -3

⇒ a - b = 1

• (1 , -3) ∈ Table ⇒ P(1) = -3 ⇒ a(1)² + b(1) - 4 = -3

⇒ a + b = 1

Solving the system for a and b :

a - b = 1

a + b = 1

⇒ 2a = 2 and 2b = 0

⇒ a = 1 and b = 0

Conclusion:

The quadratic equation P = 0 for the table is :

• In standard form : x² - 4 = 0

• In factored form : (x - 2)(x + 2) = 0

………………………………………………………………………

b)  Consider the quadratic expression:

Q(x) = a'x² + b'x + c'

Factored form :

Q(x) can be written in the form Q(x) = m(x - p)(x + q)

• (-7 , 0) ∈ Table ⇒ Q(x) = m(x − -7)(x - q) = m(x + 7)(x - q)

• (-1 , 0) ∈ Table ⇒ Q(x) = m(x + 7)(x − -1) = m(x + 7)(x + 1)

• (0 , 7) ∈ Table ⇒ Q(0) = 7 ⇒ m(0 + 7)(0 + 1) = 7

⇒ 7m = 7 ⇒ m = 1

Therefore ,

Q(x) = (x + 7)(x + 1)

Equation of the table :  (x + 7)(x + 1) = 0

Q in Standard form :

Just factor  (x + 7)(x + 1)

⇒ x² + x + 7x + 7 = x² + 8x + 7

Equation of the table :  x² + 8x + 7 = 0

the slope for MN

the slope for NP¨

the slope for NP is undefined and for MN is 0

Answer: 4

Step-by-step explanation: because he needs to divided by 2

The coordinates of the vertices of the new triangle are A'(8,-12), B'(-16,20), C'(-20,0). The area of the new triangle will be 4 times the original triangle.

The scale factor is defined as the ratio of the new image's size to the old image's size. The dilation center is a fixed point in the plane. The dilation transformation is defined based on the scale factor and the center of dilation. If the scale factor is greater than one, the image will stretch.

Given that ABC is a triangle. The vertices of the triangle are A(2,-3), B(-4,5), C(-5,0).

The triangle is dilated by a scale factor of 4.

To find the coordinate of the new triangle multiply 4 with x-coordiante and y-coordiante of the vertices of the triangle ABC.

The new coordinate of A is (2×4,-3×4) → A'(8,-12).

The new coordinate of B is (-4×4,5×4) → B'(-16,20).

The new coordinate of C is (-5×4,0×4) → B'(-20,0).

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The solution to the given system of equations is a = 6, b = 4.

The system of equations is given as follows:

a + b = 10  .....(i)

a - b = 2    .....(ii)

To solve this system of equations, we can use the method of elimination.

Adding the two equations, we get:

(a + b) + (a - b) = 10 + 2

2a = 12

a = 6

Substituting a = 6 into one of the equations, we get:

6 - b = 2

b = 4

Therefore, the solution to the system of equations is:

a = 6, b = 4.

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Answer:

To calculate the future value of an investment compounded annually, we can use the formula:

Future Value = Principal Amount * (1 + Interest Rate)^(Number of Periods)

In this case, the principal amount is $3200, the interest rate is 2.4% (or 0.024), and the investment is compounded annually for 4 years.

Plugging these values into the formula, we get:

Future Value = $3200 * (1 + 0.024)^4

Calculating the exponent first:

(1 + 0.024)^4 = 1.024^4 = 1.09985925696

Multiplying the principal amount by the exponent:

Future Value = $3200 * 1.09985925696

Future Value ≈ $3,519.47

Therefore, the investment will be worth approximately $3,519.47 after 4 years when compounded annually at a rate of 2.4%.

Step-by-step explanation:

Answer:

x=4 or -4

y=5

Step-by-step explanation:

2x-3=x+9

=3x=12

=x=12/3

x=4( could also be -4)

y=(4x2)-3

y=5

Answer:

1/2

Step-by-step explanation:

The Rational Root Theorem says that any rational root has

1. a numerator that is a factor of the constant term

2. a denominator that is a factor of the leading coefficient (that's attached to the highest-power term)

Numerator:  \(\pm 1\)

Denominator: \(\pm 2\)

That means there are only two possible rational roots: \(\pm \frac{1}{2}\)

Try them both by plugging them into the polynomial.

\(2\left(\frac{1}{2}\right)^3 + 3\left(\frac{1}{2}\right)^2 -1= \frac{1}{4}+\frac{3}{4}-1 =0\)

Aha!  The negative one-half value does not produce 0

Expression for given numerical is: 9+ (2/x)

Given that we have an word equation that is 9 more than the quotient of 2 and  x

A quotient is a quantity produced by the division of two numbers.

Quotient of 2 and x is \(\frac{2}{x}\).

Nine(9) more  than 2/x is = 9+ (2/x)

So we have an expression that is:

              9+ (2/x)                          

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The profit for 24 sales is $64.

The profit for 24 sales, we first need to calculate the revenue and then determine the profit based on the given information.

The revenue function is given as f(x) = 5x, where x represents the number of hamburgers sold.

To find the revenue for 24 sales, we substitute x = 24 into the revenue function:

Revenue = f(24)

= 5 × 24

= 120 dollars

Now, let's calculate the profit.

The profit is $20 less than 70% of the revenue.

We can express this mathematically as:

Profit = 0.7 × Revenue - $20

Substituting the value of Revenue we calculated earlier:

Profit = 0.7 × 120 - $20

= 84 - $20

= $64

We must first compute the revenue for 24 sales before calculating the profit based on the available data.

The revenue function is denoted by the formula f(x) = 5x, where x is the quantity of hamburgers sold.

We add x = 24 to the revenue function to get the revenue for 24 sales:

f(24) = 5 x 24 = 120 dollars is the revenue.

Let's now determine the profit.

The profit is $20 below the revenue's 70%.

This may be written mathematically as:

Revenue - $20 x Profit = 0.7

Substituting the earlier determined figure of Revenue:

Earnings = 0.7 x 120 - $20 = 84 - $20 = $64

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Lowest price of an iPhone in Paris is €800 because they stated that one euro is equal to one dollar; when multiplied, the result is 944; this indicates that the iPhone is priced lower in Paris.

It is possible to compare the conversion rates of sterling into the euro and the dollar using the same amount of pounds.

Sterling to Euro : \($750 \times 1.14=6855$\)

Pounds to dollars : \($750 \times 1.39=\$ 1042.5$\)

One phone may be purchased with one pound. The dollar is insufficient to purchase a cell phone, but the euro has enough money to do so. Paris has the lowest pricing for the iPhone from this perspective.

The iPhone SE (2020), which costs Rs 40,000, costs more over a lakh rupees according to the most recent Apple price list for India. Everywhere in the globe, the USA market offers the cheapest prices for iPhones.

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Answer:

Step-by-step explanation:

Free brainliest to the first who answers and 100 points!!!!! also a thanks and a five star

Answer:

23. Similar as well as congruent triangle

25. Conguent triangle

Step-by-step explanation:

Answers:

23. Not enough information

25. Congruent (by the HL theorem)

HL = hypotenuse leg

=============================================

Explanation for problem 23.

Check out figure 1 shown below.

I have marked the given diagram with light blue and light pink to show which angles are congruent.

Because lines UN and TC are parallel, we know the following alternate interior pairs are congruent.

Therefore, we can establish one link of paired congruent angles of the triangles LNU and TCH. However, we cannot determine any other angle pairings. Why not? Because we don't know if segment UL is parallel to segment TH. If they were parallel, then we could establish something like angle LUN = angle CHT as one alternate interior pairing.

But again, we don't know if UL is parallel to TH. The arrow markers aren't shown for these segments.

Therefore, we simply don't have enough information to determine if the triangles are similar or congruent.

----------------------------------------

Explanation for problem 25.

Luckily this problem will provide sufficient info to prove the triangles KSR and ISR are congruent.

We start with the given info that KR = SI due to the identical tickmarks. This represents one node in the flowchart (see figure 2).

Another node is angle RKS = angle RIS because both are right angles, aka 90 degree angles.

A third node is SR = SR because of the reflexive property.

Those three nodes then feed into the final conclusion node that triangle KSR = triangle ISR. The reasoning is "HL theorem" where HL = hypotenuse leg. This theorem works for right triangles only.

Take note how I structured the proof so that it flows from top to bottom. The three nodes side by side are related so they share the same row.

There are many other ways to make the flowchart, so don't feel obligated to use this format. Use whatever works best for you.

Sum of the interior angles of a rectangular polygon of 18 sides​ IS 2880°

Given,

Rectangular polygon of 18 sides.

The sum of the measures of the interior angle of any polygon is the number of sides minus 2 multiplied by 180.

Then,

S=(n-2)*180°

n = Number of sides

So,

S=(18-2)(180°)

S=16(180°)

S=2880°

A polygon with 18 sides has an interior angle sum of 2880 degrees.

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Answer:

64 divided by 8

Step-by-step explanation:

Answer:

16 divided by 2 = 8

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

For these types of problems, its important that we focus on the base as well as the lengths of the base and any other given lengths.

Here, the net has a base that forms a square with side lengths of 8mm.

So automatically, we can eliminate choices a and d as both have a base that is a triangle rather than a square.

We've also noticed that the base has a length of 8mm

If we look at B and C closely, we can tell that B has base lengths of 10mm while C has base lengths of 8mm.

So C is the correct answer choice.

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