19. Solve the equation: h/
9 = 7.
O A. h = -63
O B. h = 79
O C. h = 1217
O D. h = 63

Median for the given data 17, 2 ,7 is  12.

What is median?

The median is that the value that’s precisely within the middle of a dataset once it's ordered. It’s a live of central tendency that separates the bottom 50% from the very best 50% of values.

Main body :

First of all to find the median data should be arranged in ascending order.

Aranging data in ascending order

2, 5 , 7 , 7 , 8 , 8 , 10 , 10 , 14 , 15 , 17 , 18 , 24 , 27 , 28 , 48

Now there are even number of terms i. e 16

So,

M1 = n / 2 and M2 = ( n / 2 ) + 1

= 16 / 2 = 8 + 1

= 8th term = 9th term

M1 = 10 M2 = 14

Median, M = ( M1 + M2 ) / 2

= ( 10 + 14 ) / 2

= 24 / 2

= 12

Hence median of observation is 12.

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To write 10 more than a number, we use the mathematical operation of addition and the notation 10 + Number = N+10.

To write 10 more than a number, we need to use the mathematical operation of addition. Addition is the process of combining two or more numbers to find the total or sum.

In this case, we are given the number 5 and we are asked to find the number that is 3 more than it. To do this, we can use the mathematical notation: 10 + Number = N+10.

This notation means that we are adding 10 to a number, which results in N+10. The "+" symbol is the addition operator and it is used to indicate that we are performing an addition operation. The "=" symbol is used to indicate that the result of the addition is N+10.

Another way to write 10 more than a number is to use the phrase "10 plus a number". This phrase indicates that we are adding 10 to a number to get N+10.

Therefore, In short, to write 10 more than a number, we use the mathematical operation of addition and the notation 10 + Number = N+10. This means that we are adding 10 to a number, resulting in N+10. It can also be written as "10 plus N", indicating the same operation.

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Answer:

up

Step-by-step explanation:

a is positive

Answer:

(4,8)

Step-by-step explanation:

The solution is where the two lines intersect.

The graphs intersect at x=4 and y = 8

(4,8)

Answer:    B: (4,8)

Step-by-step explanation:

y = 3x +2           you will go to positive to on the graph and go up 3 and to the right two because it is positive until you can't no more.

y = -6x + 32

you will go to +32 on the graph and then go down six and since there is no number under -6 you will replace it with one so it will look like this -6x/1

Answer:

54

Step-by-step explanation:

Answer:

y=54

as x=3

so y=2*x^3

y= 2*3^3

y=2*27

y=54

Answer:

29.4

Step-by-step explanation:

42*0.7

Answer:

C) 29.4

Step-by-step explanation:

Plug in 42 for t in the equation:

f(t) = 0.7t

t = 42

f(42) = 0.7 * (42)

Multiply:

f(42) = 0.7 * 42

f(42) = 29.4

C) 29.4 is your answer.

~

When x^3+2x^2+x+1 is divided by (x+1) then remainder is 1.

In the given question, we have to find what is remainder when x^3+2x^2+x+1 is divided by (x+1).

To find the remainder there are two ways. First we divide the x^3+2x^2+x+1 by (x+1). Second we find the value of from (x+1) by equating (x+1) equal to zero. The put the value of x in the expression x^3+2x^2+x+1.

In this we ca easily find the remainder.

Now we firstly find the value of x;

(x+1) = 0

Subtract 1 on both side we get;

x= −1

Now put x= -1 in the expression x^3+2x^2+x+1.

x^3+2x^2+x+1 = (−1)^3+2(−1)^2+(−1)+1

x^3+2x^2+x+1 = −1+2−1+1

x^3+2x^2+x+1 = 1

Hence, when x^3+2x^2+x+1 is divided by (x+1) then remainder is 1.

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The right question is:

What is remainder when x^3+2x^2+x+1 is divided by (x+1)?

Answer:

The total number of caramel apples are covered with sprinkles is 20 and this can be determined by using the arithmetic operations.

Step-by-step explanation:

Given :

Maya has 120 caramel apples to sell. Each caramel apple is covered with one topping.

1/5 of the caramel apples are covered with peanuts.

1/3 of the caramel apples are covered with chocolate chips.

3/10 of the caramel apples are covered with coconut. The rest are covered with sprinkles.

The following steps can be used in order to determine the total number of caramel apples are covered with sprinkles:

Step 1 - The arithmetic operations can be used in order to determine the total number of caramel apples are covered with sprinkles.

Step 2 - Let 'n' be the number of caramel apples are covered with sprinkles.

Step 3 - So, the value of 'n' is calculated as:

Step 4 - Simplify the above equation.

120 = 24 + 40 + 36 + n

n = 20

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Answer:

There are 20 caramel apples that are covered with sprinkles.

Step-by-step explanation:

First we should make all of these have a common denominator. We could make these be 1/5 = 6/30, 1/3 = 10/30, 3/10 = 9/30. Now we can add them all up. 6 + 10 + 9 = 25/30. Now, to figure out how many apples is 1/30. 120 divided by 30 = 4. Now we can do 4x25 because that's how many non sprinkle apples there are. This is 100. 120 - 100 = 20. You could have also done 4x5 because there were 5/30 sprinkle apples, and gotten the same answer.

       so, there are 20 caramel apples that are covered with sprinkles.

{hope I helped you.]

Answer:

Polynomials form a system similar to the system of integers, in that polynomials are closed under the operations of addition, subtraction, and multiplication.

...

Polynomials: YES or NO

3x½ NO - exponent is not a whole number

2x-3 NO - exponent is not a whole number. Negative exponent places x3 in denominator.

Step-by-step explanation:

Answer:

(-2,6,-6)IS THE SLOPE

Step-by-step explanation:

21/56 = (3 ×7)/ (2×2×2 ×7)

=3/(2×2×2)

=3/8

Answer:

\( \frac{3}{8}\)

Step-by-step explanation:

\(\begin{aligned} \footnotesize \frac{21}{56} &= \footnotesize \frac{3 \times \cancel{7}}{ {2}^{3} \times \cancel{7}} \\ & \footnotesize= \bold{ \frac{3}{8} } \end{aligned}\)

The total volume of the composite figure is 123cm³

First let's do the prism, the volume is the product of the 3 dimensions, so we will get:

v = 12cm*1cm*5cm = 60cm³

Now let's do the cone, the formula for the volume is given, so we can just replace the numbers that we know, notice that the diameter is given and we need the radius which is half of that, so:

r = 6cm/2 = 3cm

Then the volume is:

V = 3*(3cm)²*7cm/3 = 63cm²

So the total volume is 63cm² + 60cm³ = 123cm³

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Answer:   Correct option is A)

The force of friction opposes the relative motion between the heavy box and rough surface.

Step-by-step explanation:

Answer:

4000 Newtons.

Step-by-step explanation:

1000 + 3000

Honesty can be measured by asking people to rate themselves on a scale of 1-10 for honesty, ranking their fellow participants in terms of honesty, conducting a polygraph test to assess physiological responses when presented with specific questions, and conducting interviews to assess how forthright people are in their answers.

An operational definition of honesty can be measured by asking people to rate themselves on a scale of 1-10 for honesty. This would allow participants to self-assess their own level of honesty and provide a baseline for comparison. By observing how often people tell the truth in a given situation, one can measure the level of honesty of a person.

Additionally, a polygraph can be used to measure physiological responses when asking a series of specific questions. This can provide a more accurate measurement of a person’s honesty in comparison to a self-reported scale.

Lastly, conducting interviews with participants can help to assess how forthright people are in their answers. This allows for a more in-depth assessment of honesty by allowing interviewers to observe and assess the sincerity of participants’ answers.

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Answer:

(-6,2)

Step-by-step explanation:

\(f(x)<0\)

We are given \(f(x)=x^2+4x-12\).

So we need to solve:

\(x^2+4x-12<0\)

First let's find when the expression on the left is 0.

\(x^2+4x-12=0\).

The expression on the left is factorable.

Given the coefficient of \(x^2\) is 1, all we have to do is see if there are two numbers that multiply to be -12 and add to be 4.

Those numbers are 6 and -2 so the factored form is:

\((x+6)(x-2)=0\)

So the solutions can be found be solving the following linear equations:

\(x+6=0\) and \(x-2=0\).

First equation, you just need to subtract 6 on both sides. \(x=-6\)

Second equation, you just need to add 2 on both sides. \(x=2\)

So draw a number line with those on it and test the intervals they divide.

--------(-6)--------(2)----------

So we need to test three intervals.

*Plug in a number before -6 to see if that piece of the function is above the x-axis or below. We are looking for below since we want \(f(x)<0\).

Let's plug in x=-8

\(f(x)=(x+6)(x-2)\) or use \(f(x)=x^2+4x-12\).

\(f(-8)=(-8+6)(-8-2)\)

\(f(-8)=(-2)(-10)\)

\(f(-8)=20\) so this piece is above since 20 is positive and not negative.

So we will not include this interval in our answer.

*Plug in a number between -6 and 2 like 0.

\(f(x)=(x+6)(x-2)\)

\(f(0)=(0+6)(0-2)\)

\(f(0)=(6)(-2)\)

\(f(0)=-12\) so this piece is under since -12 is negative and not positive.

So our solution includes the interval (-6,2).

*Plug in a number after 2 like 5.

\(f(x)=(x+6)(x-2)\)

\(f(5)=(5+6)(5-2)\)

\(f(5)=(11)(3)\)

\(f(5)=33\) so this piece is above since 33 is positive and not negative.

The answer only includes the interval (-6,2).

The value of the expression 4 1/5 ÷ 2 1/4 will be -28/15. Then the correct option is E.

What is Algebra?

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

The mixed fraction numbers are given below.

- 4 1/5 and 2 1/4

The mixed fraction number is converted into a fraction number.

-4 1/5 = -21/5

2 1/4 = 9/4

Then the division of the fraction numbers will be

⇒ -(21/5) ÷ (9/4)

⇒ -(21/5) · (4/9)

⇒ -28/15

Then the value of the expression 4 1/5 ÷ 2 1/4 will be -28/15.

Then the correct option is E.

The missing option will be negative 28 over 20.

Answer:

divide by 2

Step-by-step explanation:

2x = 10

the 2 and the x are being multiplied, so do the opposite (inverse operation) which is division

2x/2 = 10/2

x = 5

Answer:

0.618

Step-by-step explanation:

2.472 divided by 4 is 0.618, NOT 1.61812298

The cost of the truck with 3 passengers is A = $ 45

Given data ,

Let's denote the number of passengers as P and the weight of the truck in pounds as W.

For the base rate of $30 per vehicle, the equation can be written as:

Cost = $30

For additional passengers beyond the first two, the equation can be written as:

Cost += ($5) * (P - 2)

For excess weight over 4,000 pounds, the equation can be written as:

Cost += ($10) * (W - 4000) / 500

To find the cost of a truck that weighs 5,000 pounds with three passengers, we substitute the values into the equation:

Cost = $30 + ($5) * (3 - 2) + ($10) * (5000 - 4000) / 500

Simplifying the equation:

Cost = $30 + $5 + $10

Cost = $45

Hence , the cost of a truck that weighs 5,000 pounds with three passengers would be $45

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Answer:

7) 9.135x10^10

8) 3.428x10^-2

9) 2.5x10^-7

10) 4x10^10

Step-by-step explanation:

You’re only supposed to have one number to the left of the decimal point in scientific notation.

7) 9.135x10^10

8) 3.428x10^-2

9) 2.5x10^-7

10) 4x10^10

On a unit circle, the terminal point of theta is (sqrt 3/2, 1/2). theta if 0° is 30 degrees.

The measurement of an angle is expressed in terms of degrees. Radians and degrees are the two most often used units for measuring angles. In actual geometry, the angle is always measured in degrees. Degree is denoted by the sign °. (degree symbol). One full rotation is equal to 360 degrees (sometimes written as 360°), which is the measurement of a complete angle in degrees. The unit of measurement for angles is the degree. Since radians are the SI unit for measuring angles, it is not a SI unit. In geometry, we typically use a protractor to measure angles in degrees. In most cases, a protractor is utilized in schools to measure angles in order to address various mathematical issues.

Given

x = √3/2

y = 1/2

theta = arctan(y/x)

theta = arctan(1/2÷√3/2)

theta = arctan(1/2 * 2/√3)

theta = arctan(1/√3)

theta = 30°

On a unit circle, the terminal point of theta is (sqrt 3/2, 1/2). theta if 0° is 30 degrees.

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Answer:

16 < 24 < 25

Step-by-step explanation:

√16 = 4

√25 = 5

To prove that the given categorical syllogism invalid using the counterexample method, we first need to check whether the syllogism follows the standard form of categorical syllogisms. The standard form of categorical syllogism is:

Premise 1: All A are B. (Major Premise)

Premise 2: All C are A. (Minor Premise)

Conclusion: All C are B.

Let's represent the given syllogism in the standard form:

Premise 1: No undocumented individuals are people who are paid decent wages. (Major Premise)

Premise 2: Some undocumented individuals are not farm workers. (Minor Premise)

Conclusion: Some farm workers are not people who are paid decent wages.

Now, we will use the counterexample method to disprove the given syllogism. We will use real-world examples that will make the premises true but will make the conclusion false. Suppose Premise 1 is "No birds can swim." and Premise 2 is "Some penguins are not birds". Then, the Conclusion will be "Some penguins cannot swim." which is true. Here, we see that the premises are true, and the conclusion is also true.

Let's take another example. Suppose Premise 1 is "No reptiles can fly." and Premise 2 is "Some birds are reptiles." Then, the Conclusion will be "Some birds cannot fly." which is false. Here, we see that the premises are true, but the conclusion is false.

Hence, the syllogism is invalid. Using the same method, we can disprove the given syllogism. Some farm workers are not people who are paid decent wages, because no undocumented individuals are people who are paid decent wages, and some undocumented individuals are not farm workers.

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Answer:

No.

Step-by-step explanation:

I used a graphing tool to graph  \(5x+15y=19\).  (2,1) does not lie on the line. See the picture attached for the graph.

Another way to check this is to substitute x and y for 2 and 1:

\(5(2)+15(1)=19\\\\\left \{ {{5*2=10} \atop {15*1=15}} \right.\\\\10+15=19\\\\\boxed{25\neq19}\)

(2,1) would not lie on the line that has he equation of 5x+15y=19 .

1. x≤5 Work: 2x+9≤19 move the constant to the right then its 2x≤19-9, then subtract the numbers and it would be 2x≤10, then divide both sides of the inequality by 2 which gives you the final answer of x≤5

2. x≥19 Work: x-7≥12 move the constant to the right then its x≥12+7, then add the numbers and get your final answer of x≥19

3. x≤4 Work: Divide both sides of the inequality by -3 and flip the inequality sign and that gives you -3÷(-3)≤-12÷(-3) and divide that which gives you x≤4

4. x<-3 Work: move the constant to the right which gives you -5x>16-1, then subtract to get -5x>15 and divide both sides of the inequality by -5 and flip the inequality sign to get x<-3

Note: This Took Forever LOL

Answer:

4,050 ft^3

Step-by-step explanation:

Separate the figure into a cube and a square pyramid.

Volume of the cube (a^3):

15 x 15 x 15 = 3,375

3,375 ft^3

Volume of the square pyramid (lwh/3):

15 x 15 x 9/3 = 675

675 ft^3

Add the volumes of both figures:

675 ft^3 + 3,375 ft^3 = 4,050

The volume of the whole figure is 4,050 cubic feet.

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