Add. 4x−3x2−2x+−3x+3x2−2x

Therefore , the solution of the given problem of slope comes out to be

1/10 , 2/15 , 3/20 and 4/25 slopes are respectively.

steep a line is defined by its slope. The phenomenon of gradient overflow occurs in equations based on gradients. By dividing the median of the run (width difference) at two points even by rise (vertical distinction) between these very same two points, one may calculate the slope. Modeling the fixed path problem involves using an equation of the hill variety, denoted by the formula y = mx + b. The location of the line's y-intercept, when the slope is m, a = b, and also the equation are all true (0, b).

Here,

Given:

To find the slope

we have to find dx/dy is the formula for slope,

Thus ,

=> x/y = 1/10

=> x/y = 2/15

=> x/y =  3/20

=> x/y = 4/25

Therefore , the solution of the given problem of slope comes out to be

1/10 , 2/15 , 3/20 and 4/25 slopes are respectively.

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Answer:

Yes, that’s correct! Periodic tightening of nuts and bolts is a common type of maintenance for all exercise equipment. This helps to ensure that the equipment remains stable and safe to use.

Step-by-step explanation:

Answer:

A (x,y) becomes A'(y,-x)

Step-by-step explanation:

this means we switch x and y to make x a negative

The overtime rate of pay is K10.25.

The overtime rate of pay can be calculated by multiplying the basic rate pay by the time-and-a-quarter factor. In this case, the basic rate pay is K8.20.

To determine the overtime rate of pay, we need to calculate one-quarter (1/4) of the basic rate pay, and then add that amount to the basic rate pay. One-quarter of K8.20 is calculated as (1/4) * K8.20 = K2.05.

By adding the calculated overtime amount to the basic rate pay, we get the overtime rate of pay: K8.20 + K2.05 = K10.25.

Therefore, the overtime rate of pay is K10.25.

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Answer:2

Step-by-step explanation:

you just  do 6 divided by 3 and get 2

Answer:

numeric

Step-by-step explanation:

Answer:

its c

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

I think it's d because the end of the table is on 12 so its less and more than 12.

Answer:

x =  − 4  ±  √ 10,

Step-by-step explanation:

2(x + 4)² = 20

=> 2(x + 4)  (x + 4) = 20

=> 2x + 8 (x + 4) = 20

=> 2x² + 8x + 8x + 32 = 20

=> 2x² + 16x + 32 = 20

=> 2x² + 16x + 12 = 0

=> Now solve using the quadratic formula:

x =  − 4  ±  √ 10,

Radical form: − 4  ±  √ 10,

Decimal form: -0.84, -7.16

Hope this helps!

Theoretical Probability of rolling a 2= 1/20

Experimental Probability of rolling a 2 =  1/20

Theoretical probability of rolling a 2:

The theoretical probability of an event is the ratio of the number of favourable outcomes to the total number of possible outcomes. Since there are 8 sides to the cube, the total number of possible outcomes is 8. Since the number 2 appeared 200 times out of 4000 rolls, the number of favorable outcomes is 200. Therefore, the theoretical probability of rolling a 2 is:

Theoretical Probability of rolling a 2 = Number of favourable outcomes / Total number of possible outcomes = 200/4000 = 1/20

Experimental probability of rolling a 2:

The experimental probability of an event is the ratio of the number of times the event occurred to the total number of trials. In this case, the  event is rolling a 2, which occurred 200 times out of 4000 rolls.    

Therefore, the experimental probability of rolling a 2 is:

Experimental Probability of rolling a 2 = Number of times the event occurred / Total number of trials = 200/4000 = 1/20

Comparing theoretical and experimental probability:

If the cube is fair, we would expect the theoretical probability and the experimental probability to be similar. In this case, both probabilities are 1/20, which means that the cube appears to be fair. However, we would need to conduct more trials to be more confident in our conclusion.

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Answer: 31

Step-by-step explanation:

27 + 4

Answer: y=1/2x-1

Step-by-step explanation:

To find the equation of the line that passes through the points, we need to find out slope, m.

\(m=\frac{y_{2} -y_{1} }{x_{2}-x_{1} }\)

We plug our points into this formula to find slope.

\(m=\frac{1-2}{4-6} =\frac{-1}{-2} =\frac{1}{2}\)

Our slope is 1/2. To find our y-intercept, b, we would plug any point into the equation for slope-intercept form.

y=mx+b

y=1/2x+b

1=1/2(4)+b

1=2+b

b=-1

Now that we know b, our equation is y=1/2x-1.

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

Answer:

Conversations of currencies

Step-by-step explanation:

I am 100% sure that's the other way

Answer:

The answer is 21/32

Step-by-step explanation:

took the test

Answer:

(4-15)/3=3+(2/3)= 3.67

Step-by-step explanation:

Answer:

Step-by-step explanation:

You take items out of a square root if you have a pair of numbers or if you know the square root.  

\(\sqrt{48b^{7} }\)=\(\sqrt{4*4*3*bbbbbbb}\)

So I know the \(\sqrt{4}\)=2 so i can take both out so outside the root will be 2*2 and inside the root will be 3

Now for the b's for every pair there are, you can take that out.  There are 3 pairs of b's so b³ is outside and one b is left inside.

Answer:

4b³\(\sqrt{3b}\)

Using the sine rule;

Thus, a = 27.3

1 cm = 10 mm. Length of book : 28 cm. Length of book = 280 mm. This shows that measurements in mm are the same but look to have a higher number .

The conversion factor provided states that 1 cm is equal to 10 mm, which means that 1 cm is made up of 10 individual millimeters.

The length of my book in when measured in millimeters is 280 mm.

In centimeters, this is therefore:

= 280 mm / 10 cm /mm

= 28 cm

Although the numerical value appears higher when expressed in millimeters, it is important to note that the actual length of the book remains the same.

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Answer:

Y= -1/4x -1  3/4

or Y= -0.25x -1.75

Step-by-step explanation:

I got this by finding the distance between the points.

The distance is 8x and -2y

Divide that by 2 and you get 4 and -1 or -4/1

Then knowing that the slope is -0.25, you know that for each square the line goes down .25  That is how I found the y intercept.

In conclusion Y= -0.25x -1.75

Answer:

Step-by-step explanation:

We would set up the hypothesis test.

For the null hypothesis,

p = 0.1

For the alternative hypothesis,

p < 0.1

This is a left tailed test.

Considering the population proportion, probability of success, p = 0.1

q = probability of failure = 1 - p

q = 1 - 0.1 = 0.9

Considering the sample,

Sample proportion, p = x/n

Where

x = number of success = 7

n = number of samples = 100

p = 7/100 = 0.07

We would determine the test statistic which is the z score

z = (P - p)/√pq/n

z = (0.07 - 0.1)/√(0.1 × 0.9)/100 = - 1

To determine the probability value, we would look at the area below the z score on the normal distribution table.

From the normal distribution table, the area below the test z score in the left tail is 0.16

p = 0.16

Since alpha, 0.01 < than the p value, 0.16, then we would fail to reject the null hypothesis

Therefore, on the basis of this evidence alone, there has not been a significant improvement in the quality of the mugs

By looking at the vertex of the graph, we can see that the fourth graph is the correct option.

Here we want to see which one of the given graphs represents the given absolute value function.

Remember that for the absolute value function:

f(x) = |x - a| + b

Has a vertex at the point (a, b) and opens up.

Then in this particular case, with the function f(x)=∣x+1∣−3, the vertex will be at the point (-1, -3), so we just need to identify which one of the given graphs has that vertex, we can see that the correct option is the fourth option.

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Maci and 2 appointments and Logan had 3 appointments.

The linear equation that represents the total amount earned by Maci is:

Total amount earned = (amount per appointment x number of appointments)  + tips

$170 = ($60 x a) + $50

$170 = $60a + $50

$170 - $50 = $60a

$120 = $60a

a = $120 / $60

a = 2

The linear equation that represents the total amount earned by Logan is:

Profit = total revenue - total cost

Profit = (fee per appointment  x number of appointments) + amount received in tips - (rental fee x number of appointments)

$235 = ($75 x a) + $40 - ($10 x a)

$235 = $75a + $40 - $10a

$235 = $65a + $40

$235 - $40 = $65a

$195 = $65a

a = $195 / 65

a = 3

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The number of fidgets and pop bought was 15 each

From the information given, we have that;

1 fidget costs $3

1 Pop cost $4

Let the number of Fidgets be x

Let the number of Pop be y

Then, we have that a total of 20 fidgets and Pop cots $75

We have that;

20x + y = 75

Now, substitute the value of x as 3, we get;

20(3) + y= 75

expand the bracket

y = 75 - 60

y = 15

The number of fidgets is expressed as;

20x/4 = 20(3) /4 = 15

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Answer:

5,000

Step-by-step explanation:

\(\frac{1}{7}*\frac{5}{5-9} \frac{10}{0-9} *\frac{10}{0-9} * \frac{10}{0-9}\)

Answer:

(x) ∠CAB

Step-by-step explanation:

In ΔCOD and ΔBOA

\(\frac{OA}{OB} = \frac{OD}{OC} \\\\\implies \frac{OC}{OB} = \frac{OD}{OA}\)

Also,

∠COD = ∠BOA (vertically opposite angles)

⇒ ΔCOD and ΔBOA are similar

⇒ ∠CDO = ∠BAO

⇒ ∠CDB = ∠BAC

⇒ ∠CDB = ∠CAB

Part(a),

The exponential function that models the total spent on food and drinks as a function of the number of years since 1990 is:

\(T(x) = 641 \times ((\dfrac{1016}{641})^{(\frac{1}{13}))^x\)

Part(b),

The predicted amount spent in 2000 is 964 billion dollars (rounded to the nearest integer).

Part(c),

The predicted total sales of food and drink in 2018 is 1756 billion dollars

Part(d),

If the exponential trend continues, the total sales will reach 2 trillion dollars approximately 32.72 years after 1990, which is around the year 2022.

(a) To model the total spent on food and drinks as an exponential function of the number of years since 1990, we can use the general form of an exponential function:

\(T = a \times b^t\)

where T is the total spent in billions of dollars, t is the number of years since 1990, a is the initial amount spent in 1990, and b is the growth factor or base of the exponential function.

Using the given information, we can set up two equations:

T(0) = 641 (total spent in 1990)

T(13) = 1016 (total spent in 2003, which is 13 years after 1990)

Substituting these values into the exponential function, we get:

\(641 = a \timrd b^0\) => a = 641

\(1016 = a b^{13\) => \(b = (\dfrac{1016}{641})^{\frac{1}{13}\)

Therefore, the exponential function that models the total spent on food and drinks as a function of the number of years since 1990 is:

\(T(x) = 641 \times ((\dfrac{1016}{641})^{(\frac{1}{13})^x\)

(b) To predict the amount spent in 2000, we need to substitute t = 10 (since 2000 is 10 years after 1990) into the exponential function:

\(T(10) = 641 \times ((\dfrac{1016}{641})^{(\frac{1}{13}))^{10\) ≈ 964

Therefore, the predicted amount spent in 2000 is 964 billion dollars (rounded to the nearest integer).

(c) To predict the total sales of food and drink in 2018, we need to substitute t = 28 (since 2018 is 28 years after 1990) into the exponential function:

\(T(28) = 641 \times ((\dfrac{1016}{641})^{(\frac{1}{13}))^{28\) ≈ 1756

Therefore, the predicted total sales of food and drink in 2018 is 1756 billion dollars (rounded to the nearest integer).

(d) To estimate when the total sales will reach 2 trillion dollars, we need to solve for t in the exponential function when T(t) = 2000 (since 2 trillion dollars is equivalent to 2000 billion dollars):

\(2000 = 641 \times ((\dfrac{1016}{641})^{(\frac{1}{13}))^t\)

\(ln(\dfrac{2000}{641}) = t \times ln((\dfrac{1016}{641})^{(\frac{1}{13})\)

\(t = \dfrac{ln(\dfrac{2000}{641})} { ln((\dfrac{1016}{641})^{(\frac{1}{13})) }}\)

t = 32.72

Therefore, if the exponential trend continues, the total sales will reach 2 trillion dollars approximately 32.72 years after 1990, which is around the year 2022.

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Answer:

x= 32

Step-by-step explanation:

To solve for x in the proportion, cross multiply.

\(\frac{4}{7} =\frac{x}{56} \)

224=7x

32=x

Answer:

\( \frac{4}{7} = \frac{x}{56} \)

7x=4×56

7x=224

x=224/7

x=32

hope it helps you

make me brainliest plz

Answer:

I would pick C.