Which equation has x = 5 as the solution

Answer: NO

Step-by-step explanation:

This is not a function, since there are multiple outputs for ONE input.

Answer:

no

Step-by-step explanation:

to be a function, the x's can only have one partner. Here, 7 has two partners (7 goes to 20 and also to 18) and the 11 has two partners also. This relation is not a function.

Answer:

1/30

Step-by-step explanation:

The probability of getting ”E” is 1/6.

There is only 1 “E” out of 6 letters.

There is no replacement.

There are now 5 letters without “E”.

”A”, “B”, “C”, “D”, “F”

The probability of getting ”B” is 1/5.

There is only 1 “B” out of 5 letters.

⇒ 1/6 × 1/5

⇒ 1/30

Answer:

the mode is 2

Step-by-step explanation:

The surface area of the rectangular prism is 396 square inches

He will need 504 tlles

From the question, we have the following parameters that can be used in our computation:

7 in by 12 in by 6 in

The surface area of the rectangular prism is calculated as

Area = 2 * (7 * 12 + 7 * 6 + 12 * 6)

Evaluate

Area = 396

Hence, the area is 396 square inches

The number of tiles is 7 * 12 * 6 = 504

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Question

wants to tile the surface of a rectangular storage case that is 7 inches​ long, 12 inches​ wide, and 6 inches tall. If he uses all green​ tiles, how many tiles will he​ need?

Answer:

6

Step-by-step explanation:

Absolute value is a number's distance from 0, another way to think of it is that it makes any number positive, so |-6|, the absolute value of -6 would be 6.

Answer:

6

Step-by-step explanation:

The absolute value is always positive, since it's the number's distance from zero.

Thus, the absolute value of -6 is 6.

Done !!

In order to explain why -4 - 2 equals -8, let's start with the equation 0.2 = 0. By analyzing this equation, we can uncover the reason behind this seemingly counterintuitive result.

1. Begin with the equation 0.2 = 0.

2. Subtract 0.2 from both sides of the equation to isolate the variable: 0.2 - 0.2 = 0 - 0.2.

  This simplifies to 0 = -0.2.

3. Observe that the right side of the equation, -0.2, is a negative number.

4. Recall that subtracting a negative number is equivalent to adding its positive counterpart. Therefore, -0.2 is the same as +0.2.

5. Rewrite the equation as 0 = +0.2.

6. Notice that 0 on the left side of the equation is equal to 0 + 0, since any number added to zero remains unchanged.

7. Substitute 0 + 0 for 0 in the equation: 0 + 0 = +0.2.

8. Simplify the equation to 0 = +0.2.

9. Finally, recognize that a positive number cannot equal zero. Hence, the equation 0 = +0.2 is false.

10. As a result, the original equation 0.2 = 0 is invalid.

11. Therefore, the logical consequence is that any subsequent deductions based on this invalid equation would also be incorrect.

12. Consequently, -4 - 2 does not equal -8, as per the explanation derived from the flawed equation.

To summarize, by analyzing the equation 0.2 = 0, we can determine that subsequent deductions based on this equation are incorrect. Hence, -4 - 2 does not equal -8.

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Answer:

The equivalent expression of \(\ln(6\cdot a + 9\cdot b)\) is \(\ln 3 + \ln (2\cdot a + 3\cdot b)\).

Step-by-step explanation:

Let be \(r = \ln (6\cdot a + 9\cdot b)\), which is now solved as follows:

1) \(\ln(6\cdot a + 9\cdot b)\) Given.

2) \(\ln [3\cdot (2\cdot a + 3\cdot b)]\) Distributive property.

3) \(\ln 3 + \ln (2\cdot a + 3\cdot b)\) (\(\ln (x\cdot y) = \ln x + \ln y\)) Result.

The equivalent expression of \(\ln(6\cdot a + 9\cdot b)\) is \(\ln 3 + \ln (2\cdot a + 3\cdot b)\).

We want to find an equivalent expression to ln(6a + 9b). We will get:

ln(6a + 9b) = ln(3) + ln(2a + 3b)

Here we will be using the rule:

ln(x) + ln(y) = ln(x*y)

Now let's see our expression:

ln(6a + 9b) = ln(3*(2a + 9b))

Now we use the above rule to write:

ln(3*(2a + 3b)) = ln(3) + ln(2a + 3b)

Then the equivalent expression is:

ln(6a + 9b) = ln(3) + ln(2a + 3b)

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7 + 2x = 3x - 3

10 = 1x

x = 10

answer : the number is 10

Answer:

It should be 75 cm if we're taking the same test.

Step-by-step explanation:

y=0.3x-2

20.5=0.3(75)-2

0.3*75=22.5

22.5-2=20.5

20.5=20.5

Using the line of best-fit, it is found that the approximate length of the reptile is of 75 centimetres.

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

The mass y, in grams, of a reptile with length of x centimetres is given by:

\(y = 0.3x - 2\)

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

\(y = 0.3x - 2\)

\(20.5 = 0.3x - 2\)

\(0.3x = 22.5\)

\(x = \frac{22.5}{0.3}\)

\(x = 75\)

The approximate length of the reptile is of 75 centimetres.

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Answer:

He needs more bananas. (\(\frac{10}{12}+\frac{9}{12}\))

Step-by-step explanation:

Find the least common multiple for both denominators.

For 6 and 4 in the denominators, their L.C.M is 12.

Cup of mashed bananas:

Multiply both the numerator and denominator by 2.

\(\frac{5}{6} = \frac{10}{12}\)

Cup of mashed strawberries:

Multiply both the numerator and denominator by 3.

\(\frac{3}{4} = \frac{9}{12}\)

Since the denominators are now the same, we can compare them in the same ratio.

\(\frac{10}{12} > \frac{9}{12}\)

Therefore he needs \(\frac{1}{12}\) more mashed bananas than mashed strawberries.

Answer: wait one sec

Step-by-step explanation:

Answer:

(3,5.5)

Step-by-step explanation:

(x₁+x₂)   (y₁+y₂)

--------    --------

   2           2

5+1         7+4

  6           11

------        ------

 2             2

   (3, 5.5)

Answer:this isnt a complete question

Step-by-step explanation:

please fix the question

The least amount of paint that is needed to paint the walls of a room with a rectangular prism shape is 1. 8 gallons.

There would be two walls with 10 x 16 dimensions so the area is :

= 2 x 10 x 16

= 320 square feet

Two walls with 20 x 10 dimensions :

= 2 x 20 x 10

= 400 square feet

The total area is :

= 400 + 320

= 720 square feet

One gallon of paint can cover 400 square feet so the number of gallons needed is:

= 720 / 400

= 1. 8 gallons

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Full question is:

One gallon of paint covers 400 square feet. What is the least amount of paint needed to paint the walls of a room in the shape of a rectangular prism with a length of 20 feet, a width of 16 feet, and a height of 10 feet? Write your answer as a decimal.

Based on the distance that Jill is above sea level, and the distance of the whale, the difference in elevation is 1.35 km.

Jill's elevation relative to sea level is:

= +5/4 km

The whale's elevation relative to sea level is:

= - 0.1 km

The difference is therefore:

= 5/4 - (-0.1)

= 1.25 + 0.1

= 1.35 km

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Answer:

\(3\sqrt{5}\)

Step-by-step explanation:

We remember the distance formula: Given two points \((x_{1}, y_{1})\) and \((x_{2}, y_{2})\), the distance between them is \(\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2}\).

So, we plug in for our two points to get that the distance between them is \(\sqrt{(3-(-3))^2+(1-(-2))^2}=\sqrt{6^2+3^2}=\sqrt{36+9}=\sqrt{45}=\sqrt{9\cdot 5}=\sqrt{3^2\cdot 5}=\sqrt{3^2}\cdot \sqrt{5}=\boxed{3\sqrt{5}}\)

Based on the image attached, the solution for GE  is approximately 22.72.

To  be able to solve the equation √129 + √129 = GE, one need to simplify the  expression and then isolate GE.

Step 1: One can add the square roots:

Note that the equation:

√129 + √129 = GE.

Step 2:  Do put together the square root terms:

2√129 = GE.

Step 3:  Then Divide by 2:

√129 = GE/2.

Step 4: The Square both sides:

129 = (GE²)/4.

Step 5: So, Multiply by 4:

516 = GE².

Lastly, Take the square root:

√516 = √(GE²)

√516 = GE

GE = 22.72. approx.

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See text below



Step 26

Solve the equation for GE:

√129+√129 = GE

GE=2/129

Show steps

The additional 60 men, the provisions will last for approximately 20 weeks.

To determine how long the provisions will last with the additional 60 men, we need to consider the total number of people and the original duration the provisions were meant to last.

Originally, the provisions were intended to sustain 400 men for 23 weeks. This means that the provisions were estimated to be sufficient for a total of 400 * 23 = 9200 person-weeks.

Now, with the additional 60 men, the total number of men becomes 400 + 60 = 460.

To calculate how long the provisions will last with the increased number of men, we divide the total person-weeks by the new number of men:

Provisions last = Total person-weeks / Number of men

= 9200 / 460

≈ 20 weeks (rounded to the nearest whole number)

The additional 60 men will extend the supply's shelf life to around 20 weeks.

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Answer:

\(y-7=-\dfrac{1}{3}(x-1)\)

Step-by-step explanation:

\(\boxed{\begin{minipage}{4.4cm}\underline{Slope Formula}\\\\Slope $(m)=\dfrac{y_2-y_1}{x_2-x_1}$\\\\where $(x_1,y_1)$ and $(x_2,y_2)$ \\are two points on the line.\\\end{minipage}}\)

To find the equation of a line that passes through two given points, first find its slope by substituting the given points into the slope formula.

Define the points:

Substitute the points into the slope formula:

\(\implies m=\dfrac{5-7}{7-1}=\dfrac{-2}{6}=-\dfrac{1}{3}\)

Therefore, the slope of the line is -¹/₃.

\(\boxed{\begin{minipage}{5.8 cm}\underline{Point-slope form of a linear equation}\\\\$y-y_1=m(x-x_1)$\\\\where:\\ \phantom{ww}$\bullet$ $m$ is the slope. \\ \phantom{ww}$\bullet$ $(x_1,y_1)$ is a point on the line.\\\end{minipage}}\)

To find the equation in point-slope form, simply substitute the found slope and one of the given points into the point-slope formula:

\(\implies y-7=-\dfrac{1}{3}(x-1)\)

The group of people who should make up a sample that will best answer her question is the 9th graders in her school. The correct option is C.

Subjects are the different sets of information which is studied.

9th graders in her school will be perfect because the question is specifically asking about the opinions of 9th-grade students in the high school, so it makes sense to sample this group directly.

The other options may provide some insights, but they may not be as accurate or representative of the opinions of the 9th-grade students in the school.

Thus, the correct option is C, 9th graders in her school.

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The expression can be completed as 4 × (4 + 3)

A mathematical expression is a combination of numbers, symbols, and operations that represent a mathematical relationship or calculation.

Mathematical expressions can be used to represent a wide range of concepts, including algebraic equations, geometric formulas, and statistical models.

Looking at the pages:

On page 2, we have 4 stickers per row while on page 3 we have 3 stickers per row. Also, both page 2 and page 3 have 4 rows each. Thus, we can complete the expression as follows:

4 × (4 + 3)

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The graph of the function y = 5|x - 4| is added as an attachment

From the question, we have the following parameters that can be used in our computation:

y = 5|x - 4|

The above function is an absolute value function that has been transformed as follows

Next, we plot the graph using a graphing tool by taking not of the above transformations rules

The graph of the function is added as an attachment

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Answer:

6.45, 264, 508, 625

Answer: 20 Pounds

Step-by-step explanation:

1/4 X 5 = 1/20 then reverse it

20/1 = 20 Pounds

(may not be correct!!!)

Answer:Median = Mid value of Set of observation

If number of observation is odd, suppose n

Median =  th term

If number of observation is even , then

Median = Mean of two middle observation i.e

Data set : 17, 20, 30, 28, 18

Data arranged in ascending order: 17,18,20,28,30

Let one data =x

Number of observation is even.

Given, Median = 24

As , when number of observation is even , median is mean of two mid values.

Median=→→→ getting the median.

So, x must be greater than 30.

The correct option satisfying the above condition is Option (D) 34.

Step-by-step explanation:

Answer:

A. The missing number is 11

Step-by-step explanation:

The highest number in the set is 30 and the lowest is 12, this makes the range 18.

30 is supposted to be there to make the range what the problem says it is: 12.

20 and 25 could be there because no matter what, as long as 30 is the greatest number, 20 and 25 don't effect the range AT ALL.

If 11 was in the number sequence, the lowest number would be 11, making the range 19, (30-11=19) which is not what the teacher is saying the range is.

So in short, A. The missing number is 11 is the correct answer.

The quadratic equation with roots -7, 3/4 in standard form is

4x² + 25x - 21 = 0.

A quadratic equation is an algebraic equation of degree two and has exactly two roots real or imaginary or complex.

We know the roots of a quadratic equation are also factors of a quadratic equation.

If x = a and x = b are two roots of a quadratic equation then x - a = 0 and

x - b = 0 are the factors of a quadratic equation that can be formed by multiplying the two factors (x - a)(x - b) = 0.

Given that -7 and 3/4 are the roots.

∴ { x - (-7)}{ x - 3/4) = 0.

(x + 7)(x - 3/4) = 0.

x² + 7x -(3/4)x - 21/4 = 0.

x² + (25/4)x - 21/4 = 0.

4x² + 25x - 21 = 0.

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The result is positive, Tori made a capital gain of $1,839 from the sale of the Mattel stock.

The selling price is the amount of money at which a product or service is sold to the customer. It is the price that the customer pays to purchase the product or service from the seller. The selling price is usually determined by considering various factors such as the cost of production, overhead expenses, marketing expenses, and the desired profit margin. The seller may also take into account the competition in the market and adjust the selling price accordingly.

To calculate Tori's capital gain or loss, we need to find the difference between the amount she sold the shares for and the amount she bought them for.

Tori bought 300 shares of Mattel stock for $34.87 per share, so her initial investment was:

300 x $34.87 = $10,461

She later sold all of the shares for $41 per share, so she received:

300 x $41 = $12,300

To find her capital gain or loss, we subtract her initial investment from the amount she received from the sale:

$12,300 - $10,461 = $1,839

Since, the result is positive, Tori made a capital gain of $1,839 from the sale of the Mattel stock.

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Answer:

Step-by-step explanation:

To check whether the given credit card number is valid or not, we need to apply the Luhn algorithm or the mod-10 algorithm. The Luhn algorithm works by adding up all the digits in the credit card number and checking if the sum is divisible by 10 or not. If it is, then the credit card number is considered valid, otherwise, it is invalid.

Let's apply the Luhn algorithm to the given credit card number:

Step 1: Starting from the rightmost digit, double every second digit

| 5 | 4 | 2 | 4 | 9 | 8 | 1 | 3 | 2 | 7 | 2 | 0 | 0 | 0 | 8 | 5 |

|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|

| | 8 | | 8 | | 16| | 6 | | 14| | 0 | | 0 | | 10|

Step 2: If the doubled value is greater than 9, add the digits of the result

| 5 | 4 | 2 | 4 | 9 | 8 | 1 | 3 | 2 | 7 | 2 | 0 | 0 | 0 | 8 | 5 |

|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|

| | 8 | | 8 | | 7 | | 6 | | 5 | | 0 | | 0 | | 1 |

Step 3: Add up all the digits in the credit card number, including the check digit

5 + 4 + 2 + 4 + 9 + 8 + 1 + 3 + 2 + 7 + 2 + 0 + 0 + 0 + 8 + 5 + 1 = 61

Step 4: If the sum is divisible by 10, then the credit card number is valid, otherwise, it is invalid.

61 is not divisible by 10, therefore the given credit card number is invalid.

Hence, it can be concluded that 5424 9813 2720 0085 is an invalid MASTERCARD credit card number.

Using the radius of the Ferris wheel and the angle between the two positions, the time spent on the ride when they're 28 meters above the ground is 12 minutes

The radius of the Ferris wheel is 30 / 2 = 15 meters.

The highest point on the Ferris wheel is 15 + 4 = 19 meters above the ground.

The time spent higher than 28 meters is the time spent between the 12 o'clock and 8 o'clock positions.

The angle between these two positions is 180 degrees.

The time spent at each position is 10 minutes / 360 degrees * 180 degrees = 6 minutes.

Therefore, the total time spent higher than 28 meters is 6 minutes * 2 = 12 minutes.

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The value of function which cross the y-axis at point (0, 7) will be;

⇒ y = x + 7

To find the value of any one of the variables from one equation in terms of the other variable is called the substitution method.

Given that;

The point which cross the function = (0, 7)

Now,

Since, The point which cross the function = (0, 7)

Hence, The point must be satisfy the function.

By option (1);

⇒ y = x + 7

Put (x, y) = (0, 7)

⇒ 7 = 0 + 7

⇒ 7 = 7

Thus, The correct function which passes through the point (0, 7) is,

⇒ y = x + 7

Option (i) is true.

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9514 1404 393

Answer:

Step-by-step explanation:

The given sides form the given angle, so the Law of Cosines can be used to find the third side.

  b = √(a² +c² -2ac·cos(B)) ≈ √7.982544072 ≈ 2.8253

The measure of angle A can be found from the Law of Sines.

  A = arcsin(a/b·sin(B)) ≈ arcsin(0.71017) ≈ 45.2°

Angle C can be calculated from the other two angles.

  C = 180° -27.4° -45.2° = 107.4°