9 more than the quantity of 6 less than a number n is 18

Answer:

D

Step-by-step explanation:

Answer:

Let x = quarts of water to be added

so then

12* 10% + x * 0% = (12+x) * 6% (this says 12 quarts of 10% solution + x quarts of 0%(water) equals the new total (12+x) of a 6% solution

1.2 = .72 + .06x

.48 = .06x

x = 8 (quarts of water to be added)

Step-by-step explanation:

Hope this helps

Answer:

Since f(-1) = 0 and f(-2) = 0, we can set up two equations:

(-1)³ + p(-1)² - q(-1) - 4 = 0

(-2)³ + p(-2)² - q(-2) - 4 = 0

Simplifying each equation, we get:

-1 + p - q - 4 = 0

-8 + 4p - 2q - 4 = 0

Simplifying further, we get:

p - q = 5

2p - q = 6

Solving for p and q, we can add the two equations together to eliminate q:

p - q + 2p - q = 5 + 6

3p - 2q = 11

Then, we can substitute the value of q from the first equation into this equation to solve for p:

3p - 2(q + 5) = 11

3p - 2q - 10 = 11

3p - 2q = 21

3p - 2(5 + p) = 21

p - 10 = 7

p = 17

Substituting this value of p into either equation for q, we get:

q = p - 5 = 12

Therefore, the coefficients are p = 17 and q = 12. To factor the expression, we can use synthetic division or long division. Using synthetic division, we get:

-1 | 1 17 -12 -4

|__ -1 -16 28

1 1 12

This gives us the factorization:

f(x) = (x + 1)(x² + x + 12)

To find the solutions, we can use the quadratic formula on the quadratic factor:

x = (-1 ± sqrt(1 - 4(1)(12))) / 2(1)

x = (-1 ± sqrt(1 - 48)) / 2

x = (-1 ± sqrt(-47)) / 2

x1 = (-1 + i(sqrt(47))) / 2

x2 = (-1 - i(sqrt(47))) / 2

Therefore, the solutions are x1 = (-1 + i(sqrt(47))) / 2, x2 = (-1 - i(sqrt(47))) / 2, and x3 = -1.

Step-by-step explanation:

give me thanks for more! your welcome bud!

Answer:

A

Step-by-step explanation:

the domain is all the possible numbers that the x can be, so to find this from the graph you find the x-value of the leftmost point, which is -1 in this case, and the x-value of the rightmost point, which is 3. this means the range of values would be -1 <= x <= 3

Answer:

A

Step-by-step explanation:

Only one that make sense

Answer:

Outcomes are { L, RL, AL, RAL, ARL }

Associated X values are { 1, 2, 2, 3, 3 }

Step-by-step explanation:

As given,

left  = (L),

right = (R)

goes straight ahead  = (A)

Now,

The Sample space become = { L, RL, AL, RAL, ARL }

In L -

Number of cars = 1

In RL-

Number of cars = 2

In AL-

Number of cars = 2

In RAL-

Number of cars = 3

In ARL-

Number of cars = 3

Hello i need help with that too

Answer: g (x)=(x -2)(3x +3)

lesser x = -1

greater x = 2

Step-by-step explanation:

(a) The errors made by the student are:

Incorrectly expanding 49(2) as 24 instead of 98.

Mistakenly factoring the quadratic equation as (y - 8)(y - 1) instead of

\(y^{2} - 9y + 8.\)

(b) The exact solution to the equation is x = 7/11.

(a) The student made two errors in their solution:

Error 1: In the step \("22x + 49(2) = 0,"\) the student incorrectly expanded 49(2) as 24 instead of 98. The correct expansion should be 49(2) = 98.

Error 2: In the step \("y^{2} - 9y + 8 = 0,"\) the student mistakenly factored the quadratic equation as (y - 8)(y - 1) = 0. The correct factorization should be \((y - 8)(y - 1) = y^{2} - 9y + 8.\)

(b) To find the exact solution to the equation, let's correct the errors made by the student and solve the equation:

Starting with the original equation: \(22x + 4 - 9(2) = 0\)

Simplifying: 22x + 4 - 18 = 0

Combining like terms: 22x - 14 = 0

Adding 14 to both sides: 22x = 14

Dividing both sides by 22: x = 14/22

Simplifying the fraction: x = 7/11

Therefore, the exact solution to the equation is x = 7/11.

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Answer:

I believe the answer is 7

Step-by-step explanation:

The angle measures of the other angles of the parallelogram would be: 40°, 140°, and 140°.

A parallelogram is a quadrilateral that has two pairs of opposite sides that have the same length (congruent sides) and has two pairs of opposite angles that are congruent to each other.

Also, consecutive angles of a parallelogram are said to be supplementary to each other. That is, consecutive angles sum up to 180 degrees.

Given that one of the interior angles of a parallelogram equals 40 degrees, therefore, the angle that is opposite to 40 degrees would also be equal to 40 degrees.

The angle that is consecutive to angle 40 degrees would be: 180 - 40 = 140 degrees.

The last angle in the parallelogram which is opposite to angle 140 degrees would also be equal to 180 degrees.

Therefore, the angle measures of the other angles of the parallelogram would be: 40°, 140°, and 140°.

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The inequality expression that corresponds to the solution of the inequality graph is x² + 3x - 3 < 0.

option B.

The inequality expression that corresponds to the solution of the inequality graph is determined by simplifying the equations as follows;

The solution of the graph,

x > -4 and x < 1

The first equation with "≥" is ruled out because the graph doesn't have a thick dot.

Let's simplify the second expression;

x² + 3x - 3 < 0

solve using quadratic formula;

x > -3.79 or x < 0.79

The third expression is ruled out since its solution will be complex.

For the last expression;

x² + 3x - 3 > 0

x < -3.79 or x > 0.79

Thus, the correct inequality expression is x² + 3x - 3 < 0.

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It should be noted that a one to one function is the function where the answers never repeat. This will be illustrated in the one to one graph

It should be noted that the information is incomplete. Therefore, an overview will be given. It should be noted that the graph with one to one function denotes the functions that are given.

A function g is one to one when every element of the range simply corresponds to exactly one element of the domain of g.

It should also be noted that the one to one function can denote the relations between sets.

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The width of the field is 230 feet and the length is 310 feet.

Let's denote the width of the field as "x" feet.

The length of the field is 80 feet longer than the width, so it can be represented as "x + 80" feet.

To find the total amount of fencing material needed, we sum up the lengths of all four sides of the rectangular field:

2(length) + 2(width) = perimeter

Substituting the given values:

2(x + 80) + 2(x) = 1080

2x + 160 + 2x = 1080

4x + 160 = 1080

4x = 920

x = 920/4

x = 230

Therefore, the width of the field is 230 feet.

Now we can find the length by adding 80 feet to the width:

Length = Width + 80 = 230 + 80 = 310 feet.

So, the width of the field is 230 feet and the length is 310 feet.

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Answer:
10

Step-by-step explanation:

-3x+7x-8=34+9x-2

(Combine like terms)

4x-8=32

(Add 8 to each side)

4x=40

(Divide by 4)

X=10

Answer:B

Step-by-step explanation:

E202 just did :)

Answer:

b

Step-by-step explanation:

edg 2020

Answer:

Slope is 10

5 calories per minute

The slope of a graph is the rate of change of the graph.

From the graph, we have the following points.

\(\mathbf{(x,y) = (0,0)(10,100)}\)

The slope (m) is calculated as follows:

\(\mathbf{m = \frac{y_2 - y_1}{x_2 - x_1}}\)

So, we have:

\(\mathbf{m = \frac{100 - 0}{10-0}}\)

\(\mathbf{m = \frac{100}{10}}\)

\(\mathbf{m = 10}\)

Hence, the slope of the graph is 10

The number of minutes per calories burned is the inverse of the slope.

\(\mathbf{Minutes = \frac{1}{10}}\)

\(\mathbf{Minutes = 0.1}\)

Hence, 1 calories is burned in every 0.1 minute.

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The required statistical parameters has been computed as follows:

Range = 15.

Standard deviation, SD = 4.4441.

Variance = 19.75.

Mathematically, the range of a data set can be calculated by using this formula;

Range = Highest number - Lowest number

Range = 36 - 21

Range = 15.

Mathematically, the mean for these data sets would be calculated by using this formula:

Mean = [F(x)]/n

F(x) = 22 + 29 + 21 + 24 + 27 + 28 + 25 + 36

F(x) = 212.

Mean = 212/8

Mean = 26.5

Next, we would calculate the standard deviation by using this formula:

SD = √(1/n × ∑(xi - u₁)²)

SD = √(1/5 × ∑(22 - 26.5)² + 1/5 × ∑(29 - 26.5)² + 1/5 × ∑(21 - 26.5)² + 1/5 × ∑(24 - 26.5)² + 1/5 × ∑(27 - 26.5)² + 1/5 × ∑(28 - 26.5)² + 1/5 × ∑(25 - 26.5)² + + 1/5 × ∑(36 - 26.5)²)

Standard deviation, SD = 4.4441.

In Statistics, the standard deviation of a data sample is the square root of the variance and this is given by this mathematical expression:

Variance = δ²

Variance = 4.4441²

Variance = 19.75.

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The total materials handling cost allocated to the modular homes is $246,372.84.

The total materials handling cost allocated to the Prefab Barns is closest to $108,000.

To allocate materials handling cost based on material moves, we must determine proportion of material moves for each product and then apply that proportion to the total materials handling cost.

Proportion of material moves for Modular Homes:

= (Total expected material moves for Modular Homes) / (Total expected material moves for both products)

= 590 / (590 + 190)

= 0.756

Total materials handling cost allocated to Modular Homes:

= Proportion of material moves for Modular Homes * Total materials handling cost

= 0.756 * $325,890

= 246 372.84

= $246,372.84.

To allocate the materials handling cost based on direct labor-hours, we need to determine proportion of direct labor-hours for each product.

For Modular Homes:

Total direct labor-hours for Modular Homes:

= 6,000 units * 800 hours/unit

= 4,800,000 hours

For Prefab Barns:

Total direct labor-hours for Prefab Barns:

= 9,000 units * 300 hours/unit

= 2,700,000 hours

Total direct labor-hours for both products:

= 4,800,000 hours + 2,700,000 hours

= 7,500,000 hours

Proportion of direct labor-hours for Prefab Barns:

= 2,700,000 hours / 7,500,000 hours

= 0.36

Allocated materials handling cost for Prefab Barns:

= Proportion of direct labor-hours for Prefab Barns * Total materials handling cost

= 0.36 * $300,000

= $108,000.

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In calculating the factor A variation, there are two degrees of freedom. In determining the variation of factor B, there are two degrees of freedom.

A two-factor factorial design is an experiment that collects data for all potential values of the two factors of the study. The design is a balanced two-factor factorial design if equivalent sample sizes are used for every of the possible factor combinations.

Suppose we have two components, A and B, each of which has a high number of levels of interest. We will select a random level of component A and a random level of factor B, and n observations will be taken for each experimental combination.

From the data given:

a.

In calculating the factor A variation, there are two degrees of freedom.

In determining the variation of factor B, there are two degrees of freedom.

b.

Finding the degree of freedom using the interaction variation, there are four degrees of freedom.

c.

In finding the random variable, there are 9(4-1) = 27 degrees of freedom.

d.

In calculating the total variable, there are 9*4-1 =35 degrees of freedom.

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Answer:

Should be 4.

Step-by-step explanation: Here's why.

First off, use the given formula for determining the slope: m=\(\frac{y2-y1}{x2-x1}\) . You will need this formula.

Second, label all your points with the right variable. For example,

0 = x1 / 0 = y1 / 2 = x2 / 8 = y2

Once completed, you've set up your problem and now you're ready to solve. Replace the formula with all the numbers. Make sure they're in the right place.

Here's how it should look:

m = \(\frac{8-0}{2-0}\)

From here, you will subtract the numerator and the denominator.

m = \(\frac{8-0}{2-0}\) = \(\frac{8}{2}\)

Be sure to simplify it. When simplified, it goes down to 4.

Good luck! I have attached my work for you so that it's easier to understand.

Complete Question

A batter hits a baseball 3 ft above the ground toward the center field fence, which is 10 ft high and 400 ft from home plate. The ball leaves the bat with speed at 115 an angle 50 above the horizontal. Is it a home run?

Answer:

\(t=5.40sec\)

Step-by-step explanation:

From the question we are told that

Height on hit \(H_h=3ft\)

Height of center field fence \(H_f=10ft\)

Distance from home plate \(D=400ft\)

Initial speed \(v_0=115\)

Angle  \(\theta=50\)

Generally the Parametric equation of the trajectory of a projectile are mathematically represented as

\(x=(v_0cos\theta )t\)

\(y=(v_0sin\theta )t-\frac{1}{2} gt^2\)

Therefore

\(x=(v_0cos\theta )t\)

\(x=(115cos50\textdegree )t\)

\(x=74t\)

\(y=(v_0sin\theta )t-\frac{1}{2} gt^2\)

Initial co_ordinates (0,3)

\(y=3+(115sin50\textdegree )t-\frac{1}{2} 32t^2\)

\(y=3+88t-16t^2\)

Generally its a home run when Y>10 and x=400

Time when x=400 is

\(t=\frac{400}{74}\)

\(t=5.40sec\)

Given that 16 families went on a trip and the cost of the trip was Rs. 2,16,352.The amount paid by each family is to be determined by unitary method Hence each family paid Rs.13522

Now, let's solve this by using the method of unitary method. To find the cost of 1 family trip, we will divide the total cost of the trip by the number of families.2,16,352 / 16 = 13,522 So, the cost of the trip per family is Rs. 13,522.Hence, each family paid Rs. 13,522 for the trip.

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Answer:

Step-by-step explanation

1. The total cost of the trip for all 16 families is Rs 2,16,352.
2. To find out how much each family paid, we need to divide the total cost by the number of families: Rs 2,16,352 ÷ 16.
3. When we do the division, we get the result: Rs 13,522.

Now let's check if this result is correct:

1. If each family paid Rs 13,522 for the trip, then the total cost for all 16 families would be: 16 × Rs 13,522 = Rs 2,16,352.
2. This is exactly the same as the total cost given in the problem statement.

So we have shown that each family paid **Rs 13,522** for the trip

Given:

The passing point of line is (2,4)

The line is parallel to x = - 2

Any equation parallel to x= A has an equation of the form x = B.

Now the equation passing through (2,4) and parallel to x = - 2 is given by :

This is the required answer.

Answer:

4

Step-by-step explanation:

40% of 40= 16

59% of 49= 20

16+20=36

40-36=4