The bolo cavern outside of vandalia is 421 ft below sea level. A little more than75 miles away. Mt Owens is 7295 feet above sea level. What is the difference in elevation between the bolo cavern and Mt Owens?

Answer:

see explanation

Step-by-step explanation:

A number line with an open circle denotes > or <

A number line with a closed circle denotes ≥ or ≤

The sign of the inequality will depend on the direction of the arrow

To the right denotes > or ≥

To the left denotes < or ≤

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

first diagram is x > - 2

The second diagram is x ≥ - 2

The third diagram is x ≤ - 2

The fourth diagram is x < - 2

Answer:

She lost 3 pounds on the first week, then, the second week she gained back one pound. So in total she lost the first two weeks 2 pounds.

On each remaining week of her diet, she lost 2 pounds. So she lost 11x2 = 22. In total she lost 22pounds + 2pounds = 24 pounds,

Answer:

18

Step-by-step explanation:

a + 7b + 4c = 2,

Multiply this equation by 9

9( a + 7b + 4c) = 2*9

9a + 63b +36c = 18

Rearrange the order

36c +9a +63b = 18

Answer:

18

Step-by-step explanation:

36c+9a+63b= collecting 9:

=9*(4c+a+7b)

so it is 4 times the given a+7b+4c which in the definition is equal to 2; so:

=9*(4c+a+7b)=9 * 2=18

Answer:

D. She can check to see if the rate of change between the first two ordered pairs is the same as the rate of change between the first and last ordered pairs.

Step-by-step explanation:

Find the rate of change between first two ordered pairs and the second two ordered pairs:

1. Points (2,4) and (3,9). Rate of change:

[tex]\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{9-4}{3-2}=\dfrac{5}{1}=5[/tex]

2. Points (3,9) and (4,16). Rate of change:

[tex]\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{16-9}{4-3}=\dfrac{7}{1}=7[/tex]

The rate of change for the linear function must the same for each two points on the graph of the function. In this case, the reate of change differs, so this function is not linear and correct option is D.

Answer:

its D

Step-by-step explanation:

Answer:

x = -2 or x = -4

Step-by-step explanation:

Step 1 : Middle term break

x^2 + 6x + 8 = 0

x^2 + 4x + 2x + 8 = 0 (4+2 is equal to six and 4x2 is equal to  8)

x(x + 4) + 2(x +4)

(x+2) (x+4)

x= -2 or x= -4

!!

The correct question is

 What value of b will

cause the system to have an infinite number of solutions?

For

y = 6x – b   and  -3x+(1/2)y=-3

 we have that

y = 6x – b   ---------> equation

1

-3x+(1/2)y=-3--------->  -6x+y=-6------ > -2x+y=-3------- > y=6x-6

y=6x-6------>

equation 2

 we know that

For the system to have an infinite number of solution,

equation 1 must be equal to equation 2

so

6x – b=6x-6-------> 6x-6x=b-6---------> b=6

 the answer is b=(6)

The value of b will cause the system to have an infinite number of solutions is 6

For the system of equations to have an infinite number of solutions, the system of equations must be similar

Given the system of equations:

y = 6x – b   and  -3x+(1/2)y= -3

y = 6x – b .................... 1

From the secind equation;

-3x+(1/2)y=-3

-6x+y=-6

-2x+y=-3

y=6x-6

y=6x-6

Equate with equation 1 to have:

6x - 6 = 6x - b

b = 6

Hence the value of b will cause the system to have an infinite number of solutions is 6

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Area = Length x width and is given as square units.

The book is 1 ft x 5/8ft

Area = 1 x 5/8 = 5/8 square ft.

The answer would be D) 5/8 ft^2

Answer:

the solution is (-2, 1.67)

Step-by-step explanation:

graph both sides of the system.

find where the two libes intersect.

round to the nearest hundredth

Answer:

Step-by-step explanation:

Y=-x^2+6x-5

Y=3

a) Use substitution :

3 = - x²+6x- 5

x²- 6x+8 = 0

b) Factor your equation:

(x- 2)(x-4)=0

c) Identify the x-values of the solutions:

x-2=0 or x-4 =0

x=2 or x=4

d) Identify the solution to the system :

x=2       y=3

      and

x=4       y=3

The nonlinear system of equations can be solved by first substituting Y=3 into the other equation, then simplifying and factoring. The solutions for x are found by setting each factor equal to zero. The overall solutions to the system are (2,3) and (4,3).

To solve the given nonlinear system of equations we can use the substitution method. The equations given are:
Y=-x^2+6x-5 and Y=3.
We can start by substituting Y=3 in the first equation, which yields:
3=-x^2+6x-5. To rewrite this equation so one side is equal to 0, follow these steps:
-x^2+6x-5-3=0.
This simplifies to:
-x^2+6x-8=0.

Next, we can factor this equation. But it will be easier to factor if we multiply through by -1:
x^2-6x+8=0.
The factors of this equation are:
(x-2)(x-4)=0.

To find the x-values of the solutions, set each factor equal to zero:
x-2=0 or x-4=0.
Solving for x, we can see that it's values are x=2 or x=4.
Hence, the solution of the system are the ordered pairs (2,3) and (4,3).

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[tex]\bf ~\hspace{7em}\textit{negative exponents} \\\\ a^{-n} \implies \cfrac{1}{a^n} ~\hspace{4.5em} a^n\implies \cfrac{1}{a^{-n}} ~\hspace{4.5em} \cfrac{a^n}{a^m}\implies a^na^{-m}\implies a^{n-m} \\\\\\ ~\hspace{7em}\textit{rational exponents} \\\\ a^{\frac{ n}{ m}} \implies \sqrt[ m]{a^ n} ~\hspace{10em} a^{-\frac{ n}{ m}} \implies \cfrac{1}{a^{\frac{ n}{ m}}} \implies \cfrac{1}{\sqrt[ m]{a^ n}} \\\\[-0.35em] \rule{34em}{0.25pt}[/tex]

[tex]\bf \left( \cfrac{4^{\frac{5}{4}}\cdot 4^{\frac{1}{4}}}{4^{\frac{1}{2}}} \right)^{\frac{1}{2}}\implies \left( \cfrac{4^{\frac{5}{4}\cdot \frac{1}{2}}\cdot 4^{\frac{1}{4}\cdot \frac{1}{2}}}{4^{\frac{1}{2}\cdot \frac{1}{2}}} \right)\implies \cfrac{4^{\frac{5}{8}}\cdot 4^{\frac{1}{8}}}{4^{\frac{1}{4}}}\implies \cfrac{4^{\frac{5}{8}+\frac{1}{8}}}{4^{\frac{1}{4}}}[/tex]

[tex]\bf \cfrac{4^{\frac{6}{8}}}{4^{\frac{1}{4}}}\implies \cfrac{4^{\frac{3}{4}}}{4^{\frac{1}{4}}}\implies 4^{\frac{3}{4}}\cdot 4^{-\frac{1}{4}}\implies 4^{\frac{3}{4}-\frac{1}{4}}\implies 4^{\frac{2}{4}}\implies 4^{\frac{1}{2}}\implies \sqrt{4}\implies 2[/tex]

Final answer:

The equivalent expression for  [tex](4^5/4 \times 4^1/4 \div 4^1/2)^1/2[/tex] is 2, found by applying properties of exponents such as multiplication, division, and power of a power.

Explanation:

The expression given is  [tex](4^5/4 \times 4^1/4) \div 4^1/2)^1/2.[/tex] To find the equivalent expression, we use the properties of exponents, which include multiplication, division, and taking a power of a power. When you multiply with the same base, you add the exponents, and when you divide, you subtract the exponents. Also, taking a power of a power means you multiply the exponents.

Following these rules:

Combine the exponents for the terms that multiply: 5/4 + 1/4 = 3/2, hence the expression simplifies to [tex]4^{(3/2)}.[/tex]

Subtract the exponent of the denominator: (3/2) - (1/2) = 1, so now we have [tex]4^1.[/tex]

Finally, apply the outer exponent of  [tex]1/2: (4^1)^{(1/2)}[/tex]which means we take the square root of 4, giving us 2 as the final answer.

Answer:

= 10 rs

Step-by-step explanation:

C.P. - 120

S.P. - 130

cp < sp

120 < 130

so , profit = sp - cp

= 130-120

= 10 rs.

hope it helps !

To find the profit for selling eggs, subtract the cost price from the selling price, resulting in a profit of Rs. 10 per dozen.

To calculate the profit or loss from buying and selling eggs, we need to follow a series of steps. First, we find the cost of buying the eggs, which is Rs. 120 per dozen. Then, we find the revenue from selling the eggs, which is Rs. 130 per dozen. The difference between these two amounts will give us the profit or loss made on each dozen of eggs sold.

The calculation is as follows:

Selling Price (SP) per dozen = Rs. 130

Cost Price (CP) per dozen = Rs. 120

Profit per dozen = SP - CP

Profit per dozen = Rs. 130 - Rs. 120 = Rs. 10

Therefore, for each dozen of eggs sold, there's a profit of Rs. 10.

Answer: 99.78%

Step-by-step explanation:

100% - .28 = 99.78

Final answer:

The odds against selling a car today, when the probability of selling a car is 0.28, are calculated by dividing the complement of this probability (0.72) by the original probability (0.28), resulting in odds of approximately 2.6 to 1.

Explanation:

To find the odds against selling a car today, we start with the given probability of selling a car, which is 0.28, or 28%. The probability of not selling a car, which is the complement of the given probability, is therefore 1 - 0.28 = 0.72, or 72%.

Odds can be expressed as a ratio of the probability of the event occurring to the probability of the event not occurring. In this case, the odds against selling a car are the ratio of the probability of not selling the car to the probability of selling the car:

Odds against = Probability of not selling / Probability of selling = 0.72 / 0.28 = 72/28. This ratio can be simplified by dividing both the numerator and the denominator by 28 to get the simplest form.

Thus, the simplified odds against selling a car are 2.57 : 1 (or approximately 2.6 to 1).

Answer:

Step-by-step explanation:

Good evening ,

_______________

a) p(rat)=1-(0,35+0,4+0,1)

b) p(cat ∪ hamster)=0,35+0,1

c) p(dog then dog)= (0,4)²

:)

Answer:

a=0.15

b=0.45

c=0.16

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Let d be the total number of computer desks and c be the total number eof single drawer file cabinets.

1. A computer desk weighs 50 pounds, then d computer desks weigh 50d pounds. A single drawer file cabinet weighs 30 pounds, then c cabinets weigh 30c pounds. In total, a train car can hold 1500 pounds of cargo, so

50d+30c=1500

2.  A computer desk occupies a space of 4 cubic feet, then d computer desks occupy 4d cubic feet. A single drawer file cabinet occupies a space of 3 cubic feet, then c cabinets occupy 3c cubic feet. In total, a train car can hold 138 cubic feet of space, so

4d+3c=138.

Thus, we get a system of two equations:

[tex]\left \{ {{50d+30c=1500} \atop {4d+3c=138}} \right.[/tex]

Answer:

819.54 cm^2

Step-by-step explanation:

We are given

Slant height = l = 20cm

and

Diameter = d = 18 cm

We have to find radius first

r = d/2 = 18/2 = 9 cm

The formula for surface area is:

[tex]SA = \pi rl+\pi r^2\\= (3.14 * 9 * 20) + (3.14 * (9)^2)\\=565.5+254.34\\=819.84\ cm^2[/tex]

As second option is nearest to calculated answer, it is the correct option ..

Answer: second option.

Step-by-step explanation:

We know that we can calculate the surface area of a cone with this formula:

[tex]SA=\pi rl + \pi r^2[/tex]

Where "r" is the radius and "l" is the slant heigth.

We know that the radius is half the diameter, then the radius of this cone is:

[tex]r=\frac{18cm}{2}\\\\r=9cm[/tex]

Since we know the radius and the slant height, we can substitute values into the formula, using 3.14 for π.

Therefore, we get:

 [tex]SA=(3.14)(9cm)(20cm) + (3.14)(9cm)^2=819.54cm^2[/tex]

We'll label the equations to keep track of what we're doing

3x+4y+4z=4    A

5x+7y+3z=5    B

4x+5y+7z=7     C

Normally in Gaussian elimination we'd pick put a constant on each equation and combine to cancel out a variable in all but one.  But here we have an opportunity to make the coefficient 1 on our variables in at least one equation.  This is a pretty good thing to do when solving these by hand.

x + y + 3z = 3         D=C-A

-2x - 3y + z = -1     E=A-B

Let's eliminate x from two equations

-y + 7z = 5          F=2D+E

-y + 5z = 5         G=4D-C

Let's eliminate y

2z = 0               H=F-G

z = 0

-y + 7z = 5

y = -5

x + y + 3z  = 3

x - 5 + 0  = 3

x = 8

Answer: (x,y,z)=(8,-5,0)

Check:

3(8)+4(-5)+4(0) = 4, good

5(8)+7(-5)+3(0)=5, good

4(8)+5(-5)+7(0)=7, good

Answer:

Its C

Step-by-step

correct edge 2021

Answer:

0.2 = 2/9

Step-by-step explanation:

Hope my answer has helped you!

By multiplying, (x – 6)(5x – 4) is 5x² - 34x + 24

The process of multiplying two provided expressions made up of variables and constants is known as the multiplication of algebraic expressions. An expression that uses integer constants and variables together is called an algebraic expression.

Given

(x – 6)(5x – 4)

= 5x² - 30x -4x +24

= 5x² -34x +24

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Answer:

0.027​,1/5,23%,1/4, 0.29

Step-by-step explanation:

Please mark brainliest and have a great day!

[tex]\bf (\stackrel{x_1}{4}~,~\stackrel{y_1}{-1})\qquad (\stackrel{x_2}{2}~,~\stackrel{y_2}{-5}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{-5-(-1)}{2-4}\implies \cfrac{-5+1}{-2}\implies \cfrac{-4}{-2}\implies 2 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-(-1)=2(x-4) \\\\\\ y+1=2x-8\implies y=2x-9[/tex]

Answer:

7/11 of the Pizza was left for Zachary.

Step-by-step explanation:

Zachary had 1 - 4/11

= 11/11 - 4 /11

= 7/11.

Final answer:

Jerome ate 4/11 of the pizza, which means that Zachary has 7/11 of the pizza left to eat after subtracting Jerome's portion from the whole pizza.

Explanation:

If Jerome ate 4/11 of the pizza, we need to determine how much is left. Since the whole pizza represents 1, or 11/11, we subtract what Jerome ate from the whole to find out what remains for Zachary. Therefore, we perform the following subtraction:

1/11 (whole pizza) - 4/11 (portion eaten by Jerome) = 7/11 (portion left for Zachary)

So, Zachary has 7/11 of the pizza left to eat.

Answer:

A

Step-by-step explanation:

Hi again! I'm sure you will be able to solve this using the tips I gave you in your last question. Just believe in yourself and you can solve it!

I've given you the answer and you just need to tell me why!

If it's possible, I would like you to tell me why the answer is A by replying here.

Thanks and good luck!

Answer:The equation of the line that has a slope of -1/2 and a y-intercept of -2 is: y=-1/2x-2. All you really have to do here is replace m with -1/2, which is the slope you gave, and replace b with -2, the y-intercept you gave, in the equation y=mx+b. 

If this helped, please mark me brainliest, thank you and if you need more help, feel free to message me .

Step-by-step explanation:

Answer:

-1

Step-by-step explanation:

edge

The point slope form of this line is y+5=m(x).  Now, you need to find m (the slope) of the line using the formula (y1-y2)/(x1-x2):

(-5-4)/(0--3)

-9/3

-3

The complete point slope formula is: y+5=-3x.

Now, to fin the slope intercept form, just solve for y:

y+5=-3x

*Subtract 5 from both sides*

y=-3x-5

Hope this helps!!

Answer:

y = -3x - 5.

Step-by-step explanation:

y – y1 = m(x – x1)

The slope m =  rise /run = (4 - -5) / (-3 - 0)

= 9/-3

= -3.

Using the point (0, -5) and m =-3 in the point-slope:

y - -5 = -3(x - 0)

y + 5 = -3x

y = -3x - 5 is the required  slope-intercept form.

Answer:

4 books

Step-by-step explanation:

The cost for one used = $2.27

The question requires you to find the number of books that could be purchased with $10

Let assume the cost for a single used book to be $ t

If you have $ x in your pocket then the number of books you can purchase with $ x will be;

number of books= $ x/ $t.............................(a)

Applying this expression to the question;

$t= $2.27

$ x= $10

number of books = $10/$2.27 = 4.405 = 4 books

False

why would it be true if its not.

Answer:

False

Step-by-step explanation:

Hope it helps.

Answer: 10 bags

Step-by-step explanation:

First we must calculate the field area. Assuming it is a rectangle then its area equals the product of its length times its width

[tex]A =360*160\\\\A = 57600 ft^2[/tex]

You use 8 pounds of fertilizer per 1,000 square feet

So the amount of fertilizer you should use is:

[tex]57,600 ft^2 * \frac{8\ pounds}{1,000\ ft^2} = 460.8\ pounds[/tex]

As the fertilizer comes in bags of 50 pound then you need

[tex]460.8\ pounds * \frac{1\ bag}{50\ pounds} = 9.2\ bags[/tex]

Since you can not buy 9.2 bags then we round up to the next whole number.

Finally you need 10 bags of fertilizer

7.5c-2.5c+8=-7

Combine the like terms:

7.5c-2.5c = 5c

Now you have 5c +8 = -7

Subtract 8 from both sides:

5c = -15

Divide both sides by 5:

c = -15/5

c = -3

Answer:

C = -3

Step-by-step explanation:

To solve this, we need to isolate the c. So we need to subtract 8 on both sides to get :

7.5c-2.5c = -15

Now combining the c's we get:

5c = -15

So c = -3

For this case we must find an equation equivalent to:

[tex]\sqrt {x ^ 2 + 81} = x + 10[/tex]

We square both sides of the equation to eliminate the root:

[tex]x ^ 2 + 81 = (x + 10) ^ 2[/tex]

We have by definition that:

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

So, rewriting the right side of the equation we have:

[tex]x ^ 2 + 81 = x ^ 2 + 2 * 10 * x + 10 ^ 2\\x ^ 2 + 81 = x ^ 2 + 20x + 100[/tex]

ANswer:

Option D