the lava in a volcano rest 220 ft below sea level when the volcano erupts the lava shoots 930 ft upward how high does the lava reach before it starts to fall

Answer:

x y

4 0

6 2

8 4

Step-by-step explanation:

y=x-4

Replace x each x variable

4-4=0

6-4=2

8-4=4

To complete the table for the given rule y = x - 4, the values of y are found by substituting the x-values into the equation, resulting in y-values of 0, 2, and 4 for x-values of 4, 6, and 8, respectively.

The student has asked to complete a table for the given rule: y = x - 4. To find the value of y for each given x, we simply substitute the x values into the equation and solve for y.

For x = 4, y = 4 - 4 = 0.

For x = 6, y = 6 - 4 = 2.

For x = 8, y = 8 - 4 = 4.

Therefore, the completed table is:

x = 4, y = 0

x = 6, y = 2

x = 8, y = 4

MPG= 30 4/5 or 30.8 is I think is the answer.

Answer:

[tex]unit\ rate=114 \frac{miles}{gallon}[/tex]

Step-by-step explanation:

Hello, I think I can help you with this

remember some properties of mixed numbers

[tex]a\frac{b}{c}=\frac{(a*c)+b}{c}\\ example\\3\frac{1}{5}= \frac{(3*5)+1}{5}=\frac{16}{5}\\[/tex]

Step 1

covert 28 1/2

a=28

b=1

c=2

[tex]a\frac{b}{c}=\frac{(a*c)+b}{c}\\28\frac{1}{2}= \frac{(28*2)+1}{2}=\frac{57}{2}=28.5\\[/tex]

Hence, the distance she drove is 28.5 miles

Step 2

find the  number of gallons

[tex]\frac{1}{4}=0.25[/tex]

then, she used 0.25 gallons to travel 28.5 miles

Step 3

find the unit rate for miles per gallon

[tex]unit\ rate=\frac{number\ of\ miles}{number\ of\ gallons}\\ unit\ rate=\frac{28.5\ miles}{0.25\ gallons}\\unit\ rate=114 \frac{miles}{gallon}[/tex]

Have a great day.

f(x) = (x - 4 )(x - 6) = 0

because you can see when each factor is equal to zero

x - 4 = 0 ⇒ x = 4

x - 6 = 0 ⇒ x = 6

[tex]4y+8=2\qquad|\text{subtract 8 from both sides}\\\\4y=-6\qquad|\text{divide both sides by 4}\\\\y=-\dfrac{6}{4}\\\\\boxed{y=-\dfrac{3}{2}\to y=-1.5}[/tex]

Hello there!

[tex]4y+8=2[/tex]

Explanation:

↓↓↓↓↓↓

First you had to subtract by 8 from both sides of the equations.

[tex]4y+8-8=2-8[/tex]

Simplify

[tex]4y=-6[/tex]

Then you divide by 4 from both sides of the equations.

[tex]\frac{4y}{4}=\frac{-6}{4}[/tex]

Simplify it should be the correct answer.

[tex]y=-\frac{3}{2}[/tex]

Answer⇒⇒⇒⇒⇒y=-3/2

Hope this helps!

Thank you for posting your question at here on Brainly.

Have a great day!

-Charlie

Here are you're answers:

Number sentence: 25 - 14 = 11

Word sentence: twenty-five minus fourteen equals eleven

The three boxes:

11

25 14

Hope this helps!

Answer : option D

Find the solution of 7x = 35

To solve for x , we need to get x alone

so we divide by 7 on both sides

[tex]\frac{7x}{7} =\frac{35}{7}[/tex]

So x= 5

To verify the solution we plug in 5 for x in the given equation 7x= 35

x=5

We have, 7x= 35

7(5)= 35

35= 35

So verified

The solution of expression is,

D. x = 5; 7(5) = 35, 35 = 35

We have to give that,

An equation to simplify,

7x = 35

Now, Simplify the equation as,

7x = 35

Divide on both sides by 7,

7x/7 = 35/7

x = 5

Hence, The solution is, x = 5

And verify it as,

7x = 35

Put x= 5;

7 (5) = 35

7 × 5 = 35

35 = 35

Therefore, The solution is, x = 5

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Answer:

6,8,10

Step-by-step explanation:

Two consecutive even integers would have difference of 2

Hence we can assume the three consecutive integers to be of the form

a-2, a and a+2

Smallest number = a-2 and

Largest number = a+2

Twice the smallest number + 3 times largest number =42 (given)

2(a-2)+3(a+2) = 42

2a-4+3a+6 =42

5a +2 =42

Subtract 2 and then divide by 5

5a = 40 and a = 8

Hence the three numbers are 6,8 and 10

it would be positive because the positive number is bigger than the negative number.

Combine the two terms. Note that one negative sign and one positive sign will result in a negative sign.

8704 + (-7725) = 8704 - 7725 = 979

979 is the resulting number, which is a positive number

Positive is your answer

hope this helps

f(x) = x + 4   ; -4 ≤ x < 3

f(-4) = (-4) + 4

      = 0

f(3) = (3) + 4

     = 7

R: 0 ≤ y < 7    ⇒   [0, 7)

***************************

f(x) = 2x - 1   ; 3 ≤ x < 6

f(3) = 2(3) - 1

      = 6 - 1

       = 5

f(6) = 2(6) - 1

      = 12 - 1

      = 11

R: 5 ≤ y < 11   ⇒   [5, 11)

******************************

Now, put them together:   [0, 7) U  [5, 11)   = [0, 11)

Answer: B

answer is [0,11)

f(x) = x+4 is the first function

We plug in -4 for x  in f(x) = x+4

f(-4) = -4 + 4 = 0

So the graph starts at (-4,0)

Now plug in 3 for x  in f(x) = x+4

f(3) = 3 + 4 = 7

So the first function ends at (3,7)

Second function is f(x) = 2x - 1

We plug in 3 for x  in f(x) = 2x-1

f(3) =2(3)-1 = 5

So the second graph starts at (3,5)

We plug in 6 for x  in f(x) = 2x-1

f(6) =2(6)-1 = 11

So the second graph ends at (6,11)

3<=x<6 so 6 is excluded from x

The range of the following piece wise function is 0  to 11

answer is [0,11)

To be a Pythagorean triple, the numbers must satisfy the Pythagorean theorem:

[tex]a^2+b^2=c^2[/tex]

so check:

[tex]45^2+28^2=53^2\\\\2025+784=2809\\[/tex]

and that holds, so the statement is TRUE

Answer:

150 oz.

Step-by-step explanation:

There are already 150 ounces of alloy of nickel.

Of this 150 oz, 70% is pure i.e. nickel content = 150(0.7) = 105 oz

Now available is

Nickel       Other metals

105                  45

Let x oz of pure nickel is added.

Then new alloy will have 105+x oz nickel in total of 150+x oz.

Percentage pure = [tex]\frac{105+x}{150+x} =85%[/tex]

Simplify to get

[tex]\frac{105+x}{150+x} =\frac{85}{100} \\\\Cross multiply:\\85(150+x) =100(105+x)\\12750+85x =10500+100x\\100x-85x = 12750-10500\\15x = 2250\\x = 150[/tex]

Hence answer is 150 oz should be added.

Hello!

So, to answer this question we need to note that quadruple = x4

25 (our initial count) x 4 = 100

100 (after one hour) x 4 = 400

400 (after two hours) x 4 = 1600

1600 (after three hours) x 4 = 6400

6400 (after four hours) x 4 = 25600

25600 (after five hours) x 4 = 102400

So to answer your question, after six hours, there will be 102,400 of that bacteria in the jar.

Hope this helps!

The slope of the linear function that the table represents is one

The general equation of a straight line is -

[y] = [m]x + [c]

where -

[m] is slope of line which tells the unit rate of change of [y] with respect to [x].

[c] is the y - intercept i.e. the point where the graph cuts the [y] axis.

The equation of a straight line can be also written as -

Ax + By + C = 0

By = - Ax - C

y = (- A/B)x - (C/A)

Given is a table in which [x] represents the age in years of a collectible baseball card, and [y] represents its value in dollars.

We have the following table -

Cards age [x]                 5                      10                      15                    20    

Value in dollars [y]      $0.75               $5.75                $10.75            $15.75

We can calculate the slope of the linear function as -

m = (5.75 - 0.75)/(10 - 5)

m = 5/5

m = 1

Therefore, the slope of the linear function that the table represents is one.

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[Refer to the image for full question]

In decimals, the tenths place is  right after the decimal point. Therefore, the value of the digit in the tenths place of 0.88 is 8.

If x=3+bi, then

[tex]|x|=\sqrt{3^2+b^2}.[/tex]

You know that [tex]|x|^2=13,[/tex] then

[tex]\left(\sqrt{3^2+b^2}\right)^2=13,\\ \\ 9+b^2=13,\\ \\b^2=4,\\ \\b=\pm 2.[/tex]

Two possible complex numbers satisfy these conditions:

[tex]x_1=3+2i, \ x_2=3-2i.[/tex]

As you can see the possible value of b is 2.

Answer: correct choice is A.

The possible value of b in the given complex number is 2 (Option A). This is found by using the definition of modulus of a complex number and solving the resulting equation.

This question requires understanding of complex numbers and their modulus. A complex number is a number of the form a + bi, where a and b are real numbers and i is the imaginary unit with the property i^2 = -1.

|x|^2 represents the square of the modulus (or absolute value) of the complex number x which is defined as |x|^2 = a^2 + b^2. Given in the question, x = 3 + bi and |x|^2 = 13. Thus, by substitution, we get 13 = 3^2 + b^2.

Performing arithmetic operations, it's equivalent to b^2 = 13 - 3^2 = 4. To solve for b, we take the square root of both sides. Because b can be positive or negative, we get b = ±2. Therefore, from the options given, the possible value of b is 2 (Option A).

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By definition an irrational number is one that is not rational. Therefore, it is not possible for a number to both rational and irrational.

0.23, 1/5, 19%

i believe that is correct

Without knowing the ages of all the different members of the club, I believe that the mean would go down due to 24 being an outlier. You generally take the mean by adding up all the numbers and dividing by all the # of given values. Outliers such as 24 would skew the results leaning none way or the other, in this case making it lower than the previous mean.

Answer:it decreased

Step-by-step explanation:

Hey there!!

Given equation :

... 3x - 2 + 5x = 4x + 5 - 2x

Combining like terms :

... 8x - 2 = 2x - 5

Subtracting 2x on both sides :

... 6x - 2 = - 5

Adding 2 on both sides :

... 6x = - 3

Dividing by 6 on both sides :

... x = -1/2 = -0.5

Hence, the answer is -0.5

Hope my answer helps!

4+3=7 and 7x2 is 14 so cooper has 14 and nando and jill have 7 total.

Answer:

Hi 14 goldfish

Step-by-step explanation:

The equation would be 4+3*2 and the final answer would be 14 goldfish

There are 5280 feet in a mile, so 900 feet = 900/5280

=  0.1705 miles to nearest 10,000th of a mile

Total distance =  3.25 + 0.1705

= 3.4205 miles

In miles, 3.420455

In feet, 18060.0024

Hope this helps :)

The rate John is saving is 25. How? You can do 160-110 (to find difference). After this, you will get 50. You can now divide this by 2 (because the problem says two months), which is 25. You can see if this is correct by adding 25 to 110 two times.

110 + 25

= 135

135+25

=160

John is saving money at a constant rate is $25.

Given that, suppose he initially has $110 saved and after 2 months he has $160 saved.

The definition of a rate is a quantity measured and compared to another quantity measured (such as a number of miles per hour) or is the cost of something.

Now, money saved=160-110=$50, time 2 months

Rate of money per month=50/2=$25

Therefore, John is saving money at a constant rate is $25.

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Answer:

12:50 AM

Step-by-step explanation:

60 minutes is 1 hour. add one hour to the start time to get 12:50 AM

Answer:

12:50 AM

Step-by-step explanation:

Add one hour to the start time

Answer:

Now you can give brainliest to the person that answered the question

Step-by-step explanation:

cause the answer helped me

The absolute value inequality to represent the number of words Constraint is 470 ≤ X ≤ 530

Number of words required = 500

Error or deviation = 30

This means that :

Therefore, an absolute value which represents the acceptable number of words :

Minimum ≤ number of words ≤ maximum

Hence, the absolute value inequality for the number of words required is 470 ≤ X ≤ 530

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The ratio table is completed by finding values that are equivalent to the ratio 16:10, which simplifies to 8:5. The corresponding values are calculated by setting up proportions based on the original ratio.

To complete the ratio table that shows ratios equivalent to 16:10, we first understand that the ratio can be simplified to 8:5 by dividing both terms by 2.

We can use this simplified ratio to find missing values in the table.

For the row with 2 in the first column, the second column should be 2 times 5/8 (since 8:5 is equivalent to 16:10) to maintain the ratio equivalency.

This gives us the value 2*(5/8)=1.25.

In the row where the second column is 36, we need to determine the equivalent in the first column.

We set up the proportion 8/5=x/36, and solving for x gives us 8*(36/5)=57.6.

The last row given is 72 in the second column.

To find the corresponding first column value, we use the ratio 8/5=x/72 and solve for x to find 8*(72/5)=115.2.

The filled in ratio table should look like this: