122200000000000000000000000000000000000 in scientific notation

Answer:

3875 feet above sea level

Answer:

[tex]3875[/tex]  [tex]feet[/tex]

Step-by-step explanation:

We first start at 7,000 feet above sea level, we then descend 4,500 feet closer to the sea level, therefore:

[tex]7,000 - 4,500[/tex]

[tex]==> 2,500[/tex]

Then we go up 1,375 feet farther from the sea level, so:

[tex]2,500 + 1,375[/tex]

[tex]==> 3,875[/tex]

The cost of a taxi ride can be calculated using the equation c = 1.75 + (m - 1/8) * 8 * 0.30, where c represents the total cost and m represents the total miles driven. Solving this equation for m when the total cost is $7.75 would yield the number of miles driven.

The subject of this question is the creation of an equation to calculate the cost of a taxi ride. According to the question, a taxi charges $1.75 for the first 1/8 mile and $0.30 for each additional 1/8 mile. First, we need to convert miles to 1/8 miles, since the pricing is based on this fraction. We know that each full mile is equal to 8 fractions of 1/8 mile. Therefore, to convert miles to 1/8 miles, we multiply the number of miles by 8.

Given this pricing structure, the costs associated with additional miles driven beyond the first 1/8 mile (which are already accounted for by the initial $1.75), can be represented by (m-1/8)*8*0.30. Here, (m-1/8) represents the additional miles traveled beyond the first 1/8 mile, and multiplying this by 8 converts these miles into 1/8 miles.

The total cost, c, can thus be represented by the equation c = 1.75 + (m - 1/8) * 8 * 0.30. If a ride cost $7.75, we can substitute this cost into the equation and solve for m to find the number of miles driven. This would give us the equation: 7.75 = 1.75 + (m - 1/8) * 8 * 0.30.

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See the attached picture for the answers:

Final answer:

The scale factor of the dilation that transforms triangle PQR to triangle P'Q'R' does not exist. The coordinates for the reflected triangle P''Q''R'' are P''(-1, 0), Q''(0, -1), and R''(2, -1). Triangle PQR and triangle P''Q''R'' are not congruent.

Explanation:

To find the scale factor of the dilation that transforms triangle PQR to triangle P'Q'R', we can compare the lengths of corresponding sides in the two triangles. The distance between P(4, 0) and P'(1, 0) is 3, the distance between Q(0, -4) and Q'(0, -1) is 3, and the distance between R(-8, -4) and R'(-2, -1) is 6.

Since the lengths of corresponding sides are not equal, the triangles are not similar and there is no scale factor that transforms triangle PQR to triangle P'Q'R'.

To reflect triangle P'Q'R' about the y-axis, we simply change the sign of the x-coordinate for each vertex. The coordinates for the reflected triangle P''Q''R'' are P''(-1, 0), Q''(0, -1), and R''(2, -1).

Triangle PQR and triangle P''Q''R'' are not congruent because their corresponding sides have different lengths.

Answer: [tex]1.2675*10^{37}\ ergs[/tex]

Step-by-step explanation:

Let be "x" the amount of ergs the sun produces in[tex]3.25 * 10^3\ seconds[/tex].

According to the information provided in the exercise, in 1 second the sun produces [tex]3.9 * 10^{33}\ ergs[/tex] of radiant energy.

Then, in order to find the value of "x" you can write the following proportion:

[tex]\frac{ 3.9 * 10^{33}\ ergs}{1\ second}=\frac{x}{3.25 * 10^3\ seconds}[/tex]

Finally, you must solve for "x".

Therefore, you get:

[tex]x=\frac{( 3.9 * 10^{33}\ ergs)( 3.25 * 10^3 seconds)}{1\ second}\\\\x=1.2675*10^{37}\ ergs[/tex]

Answer:

A

Step-by-step explanation:

Given

4 - t = 3(t - 1) - 5 ← distribute and simplify right side

4 - t = 3t - 3 - 5

4 - t = 3t - 8 ( subtract 3t from both sides )

4 - 4t = - 8 ( subtract 4 from both sides )

- 4t = - 12 ( divide both sides by - 4 )

t = 3

Answer: B

Step-by-step explanation:

-19 + (-23)

Answer:

-19-23 is basically 19+23 but in the negatives.

so B is your answer

Step-by-step explanation:

Answer:

The price was increased by 17.15%

Step-by-step explanation:

step 1

we have that

[tex]100\%+3.8\%=103.8\%=103.8/100=1.038[/tex]

Let

x -----> the price of a certain item

we know that

If a price increases by 3.8% a total of 5 times

then

The new price will be equal to multiply the original price by 5 times 1.038

so

[tex]x(1.038)(1.038)(1.038)(1.038)(1.038)=x(1.038)^5[/tex]

step 2

we have that

[tex]100\%-1.4\%=98.6\%=98.6/100=0.986[/tex]

we know that

If a price decreases by 1.4% a total of 2 times

then

The new price will be equal to multiply the actual price by 2 times 0.986

The actual price is [tex]x(1.038)^5[/tex]

so

[tex]x(1.038)^5(0.986)(0.986)=x(1.038)^5(0.986)^2=1.1715x[/tex]

[tex]1.1715-1=0.1715[/tex]

convert to percentage

[tex]0.1715*100=17.15\%[/tex]

therefore

The price was increased by 17.15%

Answer: The price increased by 17.149618%.

Step-by-step explanation:

Given that the price of a certain item increases by 3.8% = 0.038 a total of 5 times.

So every time the price was (1 + 0.038) = 1.038 times the original price.

So after 5 times the price is = [tex]1.038^5=1.205[/tex] times the original price.

Then it decreased by 1.4% twice. So the new price is = [tex]1.205\cdot\left(1-0.014\right)^{2}=1.17149618[/tex] times the original price.

So the percentage increase is = [tex]\left(1.17149618-1\right)\cdot100 \%=17.149618 \%[/tex]

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Answer:

GB is 15 units

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

The Centroid is a point of triangle where all 3 medians intersect

In this problem point G is the centroid of the triangle FDE

FA, EB and DC are medians of the triangle FDE.

Remember that centroid divides the median in 2:1

FA is a is median so FG:GA=2:1.

Find the value of x

[tex]\frac{FG}{GA}=\frac{2}{1}\\\\\frac{5x}{x+9}=\frac{2}{1}\\\\5x=2x+18\\\\5x-2x=18\\\\3x=18\\\\x=6[/tex]

Find the value of GB

GB=2x+3

substitute the value of x

[tex]GB=2(6)+3=15\ units[/tex]

Answer:

−1 1/2

Step-by-step explanation:

i took the test <3

The subtraction of the given expression by the number line is -3/2.

The given expression is:

[tex]-1 \dfrac{1}{3} - \dfrac{1}{6}[/tex]

The improper fraction of [tex]-1 \dfrac{1}{3} =- \dfrac{4}{3}[/tex]

So, the given expression can be written as:

[tex]-\dfrac{4}{3} - \dfrac{1}{6}[/tex]

Since LCM of (3, 6)  = 2

[tex]-\dfrac{4}{3} - \dfrac{1}{6} =\dfrac{-2\times 4 - 1}{6}\\\\ -\dfrac{4}{3} - \dfrac{1}{6} = -\dfrac{9}{6}\\\\ -\dfrac{4}{3} - \dfrac{1}{6} = -\dfrac{3}{2}\\\\[/tex]

Now according to the number

This subtraction will be done, if we add 1/6 toward the left side of the number line.

Hence,

The subtraction:

[tex]-\dfrac{4}{3} - \dfrac{1}{6} = -\dfrac{3}{2}\\\\[/tex]

The procedure by number line is attached below.

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Answer:

y=5/4x

Step-by-step explanation:

Answer:

7) Obtuse, I didn't use a protractor, so I'm estimating about 130 degrees.

8) Straight, all straight lines are equal to 180 degrees.

9) Acute, I estimated about 30-40 degrees, again, no protractor used.

Step-by-step explanation:

Final answer:

To divide 5 by 3/7, we multiply 5 by the reciprocal of 3/7 which is 7/3, resulting in 35/3 or 11 2/3.

Explanation:

To calculate 5 divided by 3/7, we invert the fraction 3/7 and multiply by 5. It’s the same as multiplying 5 by the reciprocal of 3/7. The reciprocal of 3/7 is 7/3. Therefore:

5 × 7/3 = 5 × (7 ÷ 3)

5 × 7/3 = (5 × 7) ÷ 3

5 × 7/3 = 35/3

5 × 7/3 is 11 with 2 left over or, in other words, it is 11 2/3.

Remember, when you divide by a fraction, you are essentially calculating how many times that fraction goes into the number. So here, 5 divided by 3/7 is asking how many groups of 3/7 there are in 5, which is why we multiply by the reciprocal.

Answer:

all work is shown and pictured

Answer:

The mean will be increased by 5

Step-by-step explanation:

Suppose a set of data [tex](2, 4, 6, 8, 10, 12)[/tex]

Mean is defined as sum of all the values given set of data divided by total number of values.

Mean1 = [tex]\frac{2+4+6+8+10+12}{6} = \frac{42}{6} = 7[/tex]

Now if we add 5 toeach value, the new set becomes [tex](7, 9, 11, 13, 15, 17)[/tex]

for which,

Mean2 = [tex]\frac{7+9+11+13+15+17}{6} = \frac{72}{6} = 12[/tex]

Mean2 - Mean1 = 5

Answer:

x=−7,1

Step-by-step explanation:

1 Subtract 33 from both sides.

-5|x+3|=-17-3−5∣x+3∣=−17−3

2 Simplify -17-3−17−3 to -20−20.

-5|x+3|=-20−5∣x+3∣=−20

3 Divide both sides by -5−5.

|x+3|=\frac{-20}{-5}∣x+3∣=

​−5

​

​−20

​​  

4 Two negatives make a positive.

|x+3|=\frac{20}{5}∣x+3∣=

​5

​

​20

​​  

5 Simplify \frac{20}{5}

​5

​

​20

​​  to 44.

|x+3|=4∣x+3∣=4

6 Break down the problem into these 2 equations.

x+3=4x+3=4

-(x+3)=4−(x+3)=4

7 Solve the 1st equation: x+3=4x+3=4.

x=1x=1

8 Solve the 2nd equation: -(x+3)=4−(x+3)=4.

x=-7x=−7

9 Collect all solutions.

x=-7,1x=−7,1

y = 19

x = 4(19) + 21(19) = 76 + 399 = 475

3(475) × 7

1425 × 7

9975 <--- answer.

Hope this helped!

Nate

Answer:

the answer is 39

Step-by-step explanation:

Answer:

Step-by-step explanation:

We can model a line with slope-intercept form:

[tex]y = mx + b[/tex]

where [tex]m[/tex] is the slope and [tex]b[/tex] is the Y-intercept.

We know that the new line is parallel to the given line, so the two lines have the same slope, or [tex]m = \frac{3}{2}[/tex]:

[tex]y = \frac{3}{2}x + b[/tex]

To determine [tex]b[/tex], we just need to plug in the given point that the line passes through, [tex](-2, 3)[/tex]:

[tex]y = \frac{3}{2}x + b[/tex]

[tex](3) = \frac{3}{2}(-2) + b[/tex]

[tex]3 = -3 + b[/tex]

[tex]b = 6[/tex]

This gives us the following equation:

[tex]y = \frac{3}{2}x + 6[/tex]

The equation of the line is y = (3/2)x + 6.

The equation of a line is given by:

y = mx + c

where m is the slope of the line and c is the y-intercept.

Example:

The slope of the line y = 2x + 3 is 2.

The slope of a line that passes through (1, 2) and (2, 3) is 1.

We have,

The equation of the line passes through the point (-2,3).

y = m(1)x + c

The equation of the line is parallel to the line whose equation is y=3/2x-4.

​This means,

y = (3/2)x - 4

This is in the form of y = m(2)x + c

m(2) = (3/2)

So,

m(1) = m(2)

Now,

(-2, 3) = (x, y)

y = m(1)x + c

3 = (3/2) x (-2) + c

3 = -3 + c

c = 3 + 3

c = 6

Now,

y = m(1)x + c

y = (3/2)x + 6

Thus,

The equation of the line is y = (3/2)x + 6.

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Answer:

[tex]\large\boxed{14:2=20:\dfrac{20}{7}}[/tex]

Step-by-step explanation:

[tex]14:2=20:x\\\\\dfrac{14\!\!\!\!\!\diagup^7}{2\!\!\!\!\diagup_1}=\dfrac{20}{x}\\\\\dfrac{7}{1}=\dfrac{20}{x}\qquad\text{cross multiply}\\\\7x=(20)(1)\\\\7x=20\qquad\text{divide both sides by 7}\\\\x=\dfrac{20}{7}[/tex]

Answer:

0.34 cents

Step-by-step explanation:

You simply divide 1.02 by the 3 peppers.

Answer:

75 and 552 =627

Step-by-step explanation:

First=x

Second 7x+27

x+ 7x+27= 627

8x+27=627

8x=600

x=75

75*7+27 =525

525+27 = 552

Answer:

D.  y = -3x + 6.

Step-by-step explanation:

6x + 2y = 12

2y = -6x + 12  Divide through by 2:

y = -3x + 6.

Answer:

D. y = -3x + 6

Step-by-step explanation:

6x + 2y = 12

-6x - 6x

_____________

2y = -6x + 12

__ ________

2 2

[tex]y = -3x + 6[/tex]

I am joyous to assist you anytime.

To expand (2x + 4) (3x^2 + 5x + 7), draw a rectangle with six regions, multiply the terms in each region and add them together. The final expanded form is 6x^3 + 22x^2 + 34x + 28.

To expand the polynomial expression (2x + 4) (3x2 + 5x + 7), we will use the rectangle (or area) method. This involves drawing a rectangle divided into six regions, each representing a product of a term from the first binomial and a term from the second trinomial.

First, draw a 2x3 rectangle, with the dimensions representing the two terms in the first binomial and the three terms in the second trinomial.

Label the length of the rectangle with the three terms from the second trinomial, 3x2, 5x, and 7.

Label the width of the rectangle with the two terms from the first binomial, 2x and 4.

Fill in each of the six regions by multiplying the term at the end of the row by the term at the top of the column. For example, the top-left region would be 2x multiplied by 3x2, giving 6x3.

Continue filling in the other five regions: 2x times 5x is 10x2, 2x times 7 is 14x, 4 times 3x2 is 12x2, 4 times 5x is 20x, and 4 times 7 is 28.

Combine like terms to get the final expanded form: 6x3 + 22x2 + 34x + 28.

Answer~ A. y=3x-4

Explanation~ Look at the X column. Start with the first row, which is 5 in the x column and 11 in the y column. Looking back at the equation. As you can see, it has the same variables that are in the table. Replace the x with the 5 from the table.

*Remember to put the 5 in parenthesis; you must always do this when plugging in numbers into your equations*

If done correctly, your equation should now look like this:

y=3(5)-4

Following PEMDAS, the order you solve order of operations, you must first multiply, as Multiplication is before Subtraction. So, you must multiply the 5 and 3. 5×3=15, so, now your equation should look like:

y=15-4

Simply subtract 4 from 15, and you should get 11. Therefore,

y=11

Continue this process down through the table to double check your work.

I hope I helped! Sorry for the dang essay lol

Answer is provided in the image attached.

Using the slope formula, the slope, in simplest form, of the line that goes through (-3, 1) and (7, -14) is: [tex]\mathbf{-\frac{3}{2}}[/tex]

Recall:

Slope of a line that passes through any two points is found using the formula: [tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Given the two points that the line passes through are: (-3, 1) and (7, -14)

[tex](-3, 1) = (x_1, y_1)\\\\(7, -14) = (x_2, y_2)[/tex]

[tex]m = \frac{-14 - 1}{7 - (-3)} = \frac{-15}{10} \\\\m = -\frac{3}{2}[/tex]

Therefore, using the slope formula, the slope, in simplest form, of the line that goes through (-3, 1) and (7, -14) is: [tex]-\frac{3}{2}[/tex]

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Let's plug in the variables one by one.

6g - 2h

plug in 5 for g and 4 for h

6(5) - 2(4)

multiply

30 - 8

subtract

→ 22

20g

plug in 2 for g

20(2)

multiply

40

2(g + 1)

plug in 10 for g

2(10 + 1)

add

2(11)

multiply

→ 22

4g + 5h

plug in 1 for g and 4 for h

4(1) + 5(4)

multiply

4 + 20

add

24

Therefore, the answers that have a value of 22 are 6g - 2h and 2(g + 1)

Answer: 6g-2h when g=5 and h=4

and 2(g+1) when g=10 .

Step-by-step explanation:

1) 6g-2h  

when g=5 and h=4, then we have

6(5)-2(4)=30-8=22

2) 20 g  when g=2, we have

20(2)=40 ≠22

3) 2(g+1) when g=10 , we have

2(10+1)=2(11)=22

4) 4g+5h  when g=1 and h=4, we have

4(1)+5(4)=4+20=21≠22

Hence, the required answer is : 6g-2h when g=5 and h=4

and 2(g+1) when g=10 .

Answer:

x = -25

Step-by-step explanation:

Solve for x:

(2 x)/5 - 6 = -16

Hint: | Put the fractions in (2 x)/5 - 6 over a common denominator.

Put each term in (2 x)/5 - 6 over the common denominator 5: (2 x)/5 - 6 = (2 x)/5 - 30/5:

(2 x)/5 - 30/5 = -16

Hint: | Combine (2 x)/5 - 30/5 into a single fraction.

(2 x)/5 - 30/5 = (2 x - 30)/5:

(2 x - 30)/5 = -16

Hint: | Multiply both sides by a constant to simplify the equation.

Multiply both sides of (2 x - 30)/5 = -16 by 5:

(5 (2 x - 30))/5 = -16×5

Hint: | Cancel common terms in the numerator and denominator of (5 (2 x - 30))/5.

(5 (2 x - 30))/5 = 5/5×(2 x - 30) = 2 x - 30:

2 x - 30 = -16×5

Hint: | Multiply 5 and -16 together.

5 (-16) = -80:

2 x - 30 = -80

Hint: | Isolate terms with x to the left hand side.

Add 30 to both sides:

2 x + (30 - 30) = 30 - 80

Hint: | Look for the difference of two identical terms.

30 - 30 = 0:

2 x = 30 - 80

Hint: | Evaluate 30 - 80.

30 - 80 = -50:

2 x = -50

Hint: | Divide both sides by a constant to simplify the equation.

Divide both sides of 2 x = -50 by 2:

(2 x)/2 = (-50)/2

Hint: | Any nonzero number divided by itself is one.

2/2 = 1:

x = (-50)/2

Hint: | Reduce (-50)/2 to lowest terms. Start by finding the GCD of -50 and 2.

The gcd of -50 and 2 is 2, so (-50)/2 = (2 (-25))/(2×1) = 2/2×-25 = -25:

Answer:  x = -25

Answer:

x = -25

Step-by-step explanation:

(2/5)x - 6= -16   (add 6 to both sides)

(2/5) x = -16 + 6

(2/5) x = -10  (multiply both sides by 5)

2x = -10 (5)

2x = -50  (divide both sides by 2)

x = -50 / 2

x = -25

The shape moves from its original position, point A, to a point down from A, point B, after the first move. Even after a 90-degree clockwise rotation, because we are considering the shape as a point, it will still be at point B. The final move to the right places the shape at point C. The final position of the shape is at point C.

For the purpose of illustrating this problem, let's assume that the original placement of the shape is at point A. Now, based on the movements described, here are the steps:

The final location of the shape will be at point C, which is down and to the right of the initial position, point A, after a clockwise rotation.

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[tex]\bf \stackrel{5}{~~\begin{matrix} 20 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~} \times \cfrac{3}{~~\begin{matrix} 4\\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}\implies 5\times 3\implies 15[/tex]

The simplest form of the expression 20 x 3/4 is 15, which is achieved by first multiplying 20 by 3 to get 60, and then dividing 60 by 4.

The student has asked to find the simplest form of the mathematical expression 20 x 3/4.

To simplify this expression, you multiply 20 by 3 and then divide the result by 4.

First, calculate 20 times 3, which equals 60.

20×3 = 60

Next, divide 60 by 4, which gives you 15.

[tex]\frac{60}{4} = 15[/tex]

So, the simplest form of the expression 20 x 3/4 is 15.