: The Imbrium Basin is the largest basin on the moon. A reasonable domain
for the height above the lowest point in the basin is given by
{d0 < d < 3805774}. What does this tell you about the basin?​

Answer:

5 <-11

Step-by-step explanation:

5 is greater than -11

6

5

4

3

2

1

0

-1

-2

-3

-5

-6

-7

-8

-9

-10

-11

The inequalities created from the number pair 5 and -11 are '5 > -11' and '-11 < 5'. These represent that 5 is greater than -11 and that -11 is less than 5.

To write two inequalities using the number pairs 5 and -11 with the symbols < and >, we consider the numeric value and sign of the numbers. We know that any positive number is always greater than a negative number. This gives us the first inequality: 5 > -11

Now, if we want to write an inequality using <, then we swap the order of numbers. Thus: -11 < 5

These statements tell us that 5 is greater than -11 and -11 is less than 5, which demonstrates how to use < and > inequalities with numbers.

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Answer:

35° and 55°

Step-by-step explanation:

The sum of the angles of a right rectagle is 180°, with a right angle of 90°.

The tell us that A = 2B-15, so:

180° = 90° + A + B

180° = 90° + 2B - 15 + B

180° - 90° + 15 = 2B + B

105° = 3B

B = 105°/3 = 35°

Now, let's find A:

A = 180° - 90° - 35° = 55°

Using the properties of a right triangle and setting up an equation based on the relationship between the two small angles, we find that the angles measure 35 degrees and 55 degrees, respectively.

To solve the problem involving the angles of a right triangle, we recall that the sum of the angles in any triangle is 180 degrees. In a right triangle, one angle is always 90 degrees, which leaves a total of 90 degrees to be shared between the other two angles.

If we let x represent the measure of one of the small angles, then the problem tells us that the other angle is 2x - 15 degrees.

Therefore, we can set up the following equation to solve for x:

x + (2x - 15) + 90 = 180

Combining like terms gives us:

3x - 15 + 90 = 180

3x + 75 = 180

Now, we subtract 75 from both sides of the equation:

3x = 105

Finally, we divide by 3 to find the measure of x:

x = 35

Having found that one of the small angles measures 35 degrees, we can now find the other small angle:

2x - 15 = 2(35) - 15

= 70 - 15

= 55 degrees.

So, the two small angles of the right triangle are 35 degrees and 55 degrees.

Answer:

666 divided by 6 is 111. So, they would need 111 vans.

Answer:

1.6, 1 4/5 (1.8), 1.82

Step-by-step explanation:

Answer:

1.6;1 4/5;1.82

Answer:

The length of the short leg is 5 inches and the leg of the long leg is 12 inches

Step-by-step explanation:

Let

a -----> the long leg of a right triangle

b ----> the short leg of a right triangle

c ----> the hypotenuse of a right triangle

we know that

Applying the Pythagoras Theorem

[tex]c^{2} =a^{2}+b^{2}[/tex] -----> equation A

we have that

[tex]a=b+7[/tex] -----> equation B

[tex]c=13\ in[/tex] ----> equation C

Substitute equation B and equation C in equation A and solve for b

[tex]13^{2} =(b+7)^{2}+b^{2}[/tex]

[tex]169=b^2+14b+49+b^2[/tex]

[tex]2b^2+14b+49-169=0[/tex]

[tex]2b^2+14b-120=0[/tex]

Solve the quadratic equation by graphing

The solution is [tex]b=5\ in[/tex]

see the attached figure

Find the value of a

[tex]a=b+7[/tex] ----> [tex]a=5+7=12\ in[/tex]

therefore

The length of the short leg is 5 inches and the leg of the long leg is 12 inches

The lengths of the leg : 12 and 5

Quadratic function is a function that has the term x²

The quadratic function forms a parabolic curve

The general formula is

[tex]\large {\boxed {\bold {f (x) = ax ^ 2 + bx + c}}}[/tex]

where a, b, and c are real numbers and a ≠ 0.

There are 3 ways to solve quadratic equations

a. factoring b. perfect squared c. quadratic formula

We use the factoring method

Quadratic equation x² + bx + c = 0 is equivalent to quadratic equation

[tex]{\displaystyle {x ^ 2 + (p + q) \times \: pq}}[/tex]

where p + q = b and px q = c

for a = 1, the result of factoring is (x + p) (x + q)

If at an angle there is an angle of 90 degrees, this triangle is said to be a right angle

There is a hypotenuse in this triangle which is the sum of the two sides

where c = hypotenuse

This formula is known as the Pythagorean theorem which states that:

the hypotenuse or the longest side in a right triangle equal to the sum of the squares of the other sides.

then c = 13

then a = b + 7

Then the phytagorean equation becomes:

(b + 7)² + b² = 13²

49+14b+b²+b²=169

49+14b+2b²=169

2b²+14b-120=0

b²+7b-60=0

factoring

(b-5)(b+12)=0

b=5 or b=-12

we use positive number ⇒5

So :

the long leg = b+7=5+7=12

the short leg = b = 5

the triangle angle

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Prove the converse of the Pythagorean Theorem

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Use Pythagoras' theorem

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Keywords :  Pythagorean Theorem , hypotenuse, the long leg

Answer:

(x+7, y-3)

Step-by-step explanation:

7 units to the right and 3 units down

Hey!

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[tex]\large\boxed{The~plant~grew~2\frac{1}{2}~feet!}[/tex]

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

Steps To Solve:

~Find common denominators

6/7 = 54/63

2/9 = 14/63

~Turn into improper fractions

1 54/63 = 117/63

4 14/63 = 266/63

~Subtract.

266/63 - 117/63 = 149/63

~Turn into mixed number

149/63 = 2 23/63

~Round

2 23/63 ≈ 2 1/2

Answer:

2 1/2

Step-by-step explanation:

because 4 2/9 － 1 6/7 equal to 2 half which equal to 2 1/2

Answer:

y = 10

Step-by-step explanation:

Given

10 - y = y - 10 ( subtract y from both sides )

10 - 2y = - 10 ( subtract 10 from both sides )

- 2y = - 20 ( divide both sides by - 2 )

y = 10

Answer:

5

Step-by-step explanation:

[tex]\text{Hello there!}\\\\\text{We are simplifying the fraction:}\,\frac{9}{45}\\\\\text{Both 9 and 45 is divisible by 9, so we'll divide both sides by 9}\\\\\text{Divide:}\\\\\frac{9\div9}{45\div9}=\frac{1}{5}\\\\\boxed{\text{Answer:}\frac{1}{5}}}[/tex]

Answer:

$13.75

Step-by-step explanation:

First figure out how much she paid, by taking the change from the $50

50 - 8.75 = 41.25

She paid $41.25 dollars on three tee-shirts.

Now take how much she spent and divide it on the number of items (tee-shirts) to figure how much each one cost.

41.25 divided by 3 = 13.75

$13.75

Each Tee-shirt cost $13.75

Final answer:

To find the cost of each shirt, subtract the change given from the total amount paid and then divide by the number of shirts purchased.

Explanation:

In this scenario, Maria paid $50.00 for three shirts and received $8.75 in change. To find the cost of each shirt, we subtract the change from the total amount she gave. $50.00 - $8.75 = $41.25. Since she bought three shirts, we divide $41.25 by 3 to find the cost of each shirt. The cost of each shirt is $13.75.

Final answer:

1 kilogram is 10^9 times greater than 1 microgram because 1 kg equals 1000 grams, and there are 10⁶ micrograms in a gram, equating to 10⁹ µg/kg.So,option A.10⁹ is correct.

Explanation:

To determine how many times greater 1 kilogram is than 1 microgram, we need to understand the metric prefixes and their corresponding values. Knowing that 'micro' denotes 10⁻⁶, we can establish that 1 microgram (µg) equals 10⁻⁶grams (g). Since 1 kilogram (kg) equals 1000 grams, we then convert kilograms to micrograms by multiplying by 10⁶:

1 kg = 1000 g x 10⁶ µg/g = 10⁹ µg.

Thus, 1 kilogram is 10⁹ times greater than 1 microgram, which corresponds to option A.

Answer:

the answer is A.

Step-by-step explanation:

The values of the system of equations y=[tex]x^{2}[/tex]-3x+6, y=2x+6 is (0,6),(5,16).

Equation is relationship between two or more variables that are expressed in equal to form.Equations of two variables look like ax+by=c.It may be linear equation, quadratic equation,cubic equation.

We have been given two equations as y=[tex]x^{2}[/tex]-3x+6 and y=2x+6 and we are required to solve the equations for the value of x.

Putting the value of y from second equation in first equation.

2x+6=[tex]x^{2}[/tex]-3x+6

Cancellng 6 from both sides.

[tex]x^{2}[/tex]-5x=0

x(x-5)=0

x=0,x-5=0

x=0,x=5

Putting the values of x in second equation to get the value of y.

y=2x+6

y=2(5)+6

=10+6

y=16

y=2x+6

y=2*0+6

=6

Points will be (0,6),(5,16).

Hence the values of the system of equations y=[tex]x^{2}[/tex]-3x+6, y=2x+6 is (0,6),(5,16).

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Answer:

(10, 5 )

Step-by-step explanation:

To determine which points lie on the graph or not.

Substitute the x- coordinate of the point into the equation and if the value agrees with the y- coordinate of the point then the point is on the graph.

(2, 7 )

y = 2 + 5 = 7 ← True thus point is on the graph

(6, 11 )

y = 6 + 5 = 11 ← True thus point is on the graph

(220, 225 )

y = 220 + 5 = 225 ← True thus point is on the graph

(10, 5 )

y = 10 + 5 = 15 ≠ 5 ← Point is not on the graph

Answer:

If your asking us to just combine like terms it would be -3b^2-2b^2+1.4b+4c+c

but if your asking us to answer the question it would be -5b^2+1.4b+5c

Hope I helped :)

Graph the following points:

(-2, -3)

(-1, -2)

(0, -1)

(1, cuberoot{2} -2}

(7, 0)

Answer:

10.9

Step-by-step explanation:

So you add or subtract the number, leaving the bottom number the same and then simplify if you need to.

Answer 15 20 10 2.5 7.5

[tex]\bf \lim\limits_{x\to \infty}~-4x^9-3x^3+2x-11 \\\\\\ \lim\limits_{x\to \infty}~-4x^9~~+~~\lim\limits_{x\to \infty}~-3x^3~~+~~\lim\limits_{x\to \infty}~2x~~+~~\lim\limits_{x\to \infty}~-11[/tex]

for any positive value of "x" as it races off towards ∞, our first limit  of -4x⁹ will give us a rather large negative value, our second limit of -3x³ will also give us a large negative value and both will combine to produce an even larger negative value.

our third limit of 2x will give us a positive value, however a much smaller than its previous siblings, and our last limit is just a fixed of -11, not moving at all.

since the negative values are moving faster than the positive ones, and thus overwhelming the positive ones, the limit will increasingly be racing towards -∞.

The limit of the function, [tex]\lim_{n \to \infty} f(x)= -4x^2 - 3x^3+2x - 11[/tex] is - ∞.

Here, given function is,

f(x)=−4x^9−3x^3+2x−11

We have to find the value of [tex]\lim_{n \to \infty} f(x)= -4x^2 - 3x^3+2x - 11[/tex].

What is limit of function?

Limit of function means the value towards which a function moves when the value of independent variable moves to infinity.

Now,

[tex]\lim_{n \to \infty} f(x)= -4x^2 - 3x^3+2x - 11[/tex]

[tex]\lim_{n \to \infty} f(x)= \lim_{n \to \infty} (-4x^2) - \lim_{n \to \infty} (3x^3) + \lim_{n \to \infty} 2x - \lim_{n \to \infty} 11[/tex]

[tex]\lim_{n \to \infty} f(x)= -[/tex]∞

Here, limit of [tex]-4x^{2}[/tex] is -∞,  limit of [tex]-3x^{3}[/tex] is -∞ and limit of 2x is ∞.

For any positive value of x as it races off towards ∞ but here we find the limits as, -∞.

Since the negative values are moving faster than positive.

Hence, the limit will be towards  -∞.

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Answer:

Share sold by Stock A = 4000, Stock B = 1000 and Stock C = 5000

Step-by-step explanation:

Total sold sold = 10000

i.e. [tex]A + B + C = 10000[/tex] ....(1)

Shares sold by stock A = 4 × Shares sold by stock B

i.e. [tex]A = 4B[/tex] ....(2)

Shares sold by stock C = Shares sold by stock A + Shares sold by stock B

i.e. [tex]C = A + B[/tex] ....(3)

substituting value of [tex]A[/tex] from (2) in (3) we get

[tex]C = 4B + B = 5B[/tex] ....(4)

substituting value of [tex]A[/tex] and [tex]C[/tex] from (2) and (4) in (1) we get

[tex]4B + B + 5B = 10000\\10B = 10000\\B = 1000[/tex]

[tex]A = 4B = 4*1000 = 4000[/tex]

[tex]C = 5B = 5*1000 = 5000[/tex]

Answer:

A,shift the graph of y =x2 right 15 units

Step-by-step explanation:

The new equation is subtracting 15 from the value of x.

When you subtract a number from x, the graph moves to the right by the number you subtract.

x-15, shifts the graph right 15 units.

The answer is: Shift the graph of y = x2 right 15 units.

Answer: The Statement is true

Step-by-step explanation: the lines in the graph are constantly parallel to each other, showing that when one increases, so does the other

Answer:

The given statement is true.

Step-by-step explanation:

We are given the following graph in the picture:

On the x-axis years are shown from 1959 to 2005.

The y axis shows the poverty rate and the number of people in poverty.

The blue strips in the graph are the recession time.

Now, for each blue strip, we could see the line for poverty rate and the number of people in poverty increases. There is an upward trend in the line in the blue strip.

In other words we could say that the slope increases for all the blue strips which actually represents that the number of people in poverty increases in recession.

Thus, the given statement is true.

Answer:

It makes 5/3 it is less than two!

Step-by-step explanation:

Topic: Fractions and Mixed Numbers

You have to remember the concept of fractions, let's represent by cake diagrams, it says that Gary says that 3, let's say it's 3 cakes, as the fractions are represented in terms of thirds, let's draw the cakes each one divided in 3.

and the statement says that taking away 1 and 1/3 it will make more than 2.

As you can see in the picture below, we take away 1 cake and we will take away another third of a second cake represented by the brown region of the cakes. it means that the yellow region is what's left after taking the 1 and 1/3. as you can see it doesn't make two, makes less than two exactly 5/3.

PS: Try and do it mathematically now!

Answer:

The 1000 ml bags, over $3000

Step-by-step explanation:

First, determine how many bags you need from each vendor. Then find the cost per bag with each vendor. Remember, the bags are reported to be only half full when discarded, therefore you need the equivalent of 5,000 1,000 ml bags and 5,000 500ml bags.

Answer:100ml bag is 3000

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

$21-$13=$8

$8÷$2=4 bottles

Answer:

the answer is -8 13/30

Step-by-step explanation:

Answer:

x = ± [tex]\sqrt{\frac{ab+2}{3} }[/tex]

Step-by-step explanation:

Given

3x²  - 2 = ab ( isolate the x² term by adding 2 to both sides )

3x² = ab + 2 ( divide both sides by 3 )

x² = [tex]\sqrt{\frac{ab+2}{3} }[/tex] ( take the square root of both sides )

x = ± [tex]\sqrt{\frac{ab+2}{3} }[/tex]

Answer:

x =  √ [(ab + 2)/ 3]

Step-by-step explanation:

3x^2 - 2 = ab

3x^2 = ab + 2

x^2 = (ab + 2)/ 3

x =  √ [(ab + 2)/ 3]

Answer:

Step-by-step explanation:

Answer:

19.2

Step-by-step explanation:

Answer:

205  miles per hour.

Step-by-step explanation:

1 mile = 5280 feet so:

300 ft / second = 300/ 5280 miles/second.

There are 3600 seconds in an hour so

this converts to  300 * 3600 / 5280 miles per hour

= 204.55 miles per hour.

Hey!

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

Solution:

Let's use dimensional analysis!

[tex]= \frac{1mi}{5280ft} * \frac{3600}{1hr} * \frac{300ft}{1sec}[/tex]

[tex]= \frac{1,080,000}{5,280}[/tex]

[tex]= 204.454545...[/tex]

[tex]= 205[/tex]

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Answer:

205

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Hope This Helped! Good Luck!