if jimmy has 384 toy cars and his friend takes 197 of the cars how many cars dows jimmy have left

Answer:

like terms are 12x and -3x, 9 and -4.

Step-by-step explanation:

12x and -3 have a variable of x. 9 and -4 are constants. Since they are like terms you can group them to be 9x+5. 12x-3x is 9x and 9-4 is 5.

Answer:

I think it's about 3840 in.^2

Step-by-step explanation:

The shape is a half circle and a parallelogram

Area of a half circle is 1/2 x pi x r ^2

R is half the diameter(8in), r = 4

Area of half circle = 1/2 x 3.14 x 4^2

Area of half circle = 25.12 square in.

Area of parallelogram = length x height

Area of parallelogram = 10 x 6 = 60 square in.

Total area = 25.12 + 60 = 85.12 square inches

Answer: 85.12 square inches

#1

LSA

TSA

#2

LSA

TSA

#3

LSA

TSA

#4

LSA

TSA

#5

We know

So

She can use this formula

Answer:yes

Step-by-step explanation:

Answer:

4/5

Step-by-step explanation:

m=y2-y1/x2-x1

=6-2/6-1

4/5

Step-by-step explanation:

The amplitude is 2. Amplitude means height from the x-axis to the crest/trough.

The period is 2pi. It is from crest to crest (next crest) or trough to trough (next trough).

Note that crest are the highest points of a wave, and that troughs are the lowest points of a wave. (we are talking about transverse waves, but this is more of a physics thing).

Function of graph:
By playing around in a graphing calculator, I got the equation to be

2 (cos (x + pi/2)).

the 2 changes the amplitude, and the + pi/2 shifts the graph by pi/2 to the left.

Answer:

In fraction form, it would be 3/2

The two diameters that separate the top 7% and the bottom 7% are 5.93 millimeters and 5.83 millimeters, respectively.

To find the diameters that separate the top 7% and the bottom 7%, we need to find the z-scores that correspond to these probabilities and use them to calculate the diameters.

For the top 7%, we look up the z-score for the 93rd percentile (100% - 7%) in the standard normal distribution table or using a calculator. The z-score for the 93rd percentile is approximately 1.48.

z = (x - mu) / sigma

where z is the z-score, x is the diameter, mu is the mean, and sigma is the standard deviation.

1.48 = (x - 5.88) / 0.03

Solving for x, we get

x = 5.93 millimeters (rounded to the nearest hundredth)

So any bolt with a diameter greater than 5.93 millimeters should be rejected.

For the bottom 7%, we look up the z-score for the 7th percentile in the standard normal distribution table or using a calculator. The z-score for the 7th percentile is approximately -1.48.

-1.48 = (x - 5.88) / 0.03

Solving for x, we get

x = 5.83 millimeters (rounded to the nearest hundredth)

So any bolt with a diameter less than 5.83 millimeters should be rejected.

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Step-by-step explanation:

9-(10) = 9-10 = -1

Hope this helps

Answer:

w = 11/4

Step-by-step explanation:

Let's solve your equation step-by-step.

w/5 = 11/20

Step 1: Cross-multiply.

w/5 = 11/20

w • (20) = (11) • (5)

20w = 55

Step 2: Divide both sides by 20.

20w/20 = 55/20

w = 11/4

Given that,

An expression : 4(n- 3²) + n

To find,

The equivalent expression.

Solution,

We have,

4(n- 3²) + n

As 3²= 9

= 4(n- 9) + n

Opening the brackets,

= 4n-4(9) + n

= 4n-36 +n

= 5n-36

Hence, the equivalent expression is 5n-36.

The required measure of ∠L=25° for the given triangle.

A triangle is a closed shape composed of three angles, three sides, and three vertices. It is one of the most fundamental geometric forms and is represented by the symbol Δ.

If two sides of a triangle are congruent, then the angles opposite those sides are congruent.:

∠KJL = ∠JLK

Substitute ∠KJL = 25° into ∠KJL = ∠JLK: 25° = ∠JLK

∠JLK = 25°

Thus, the required measure of ∠L=25°.

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Answer:

Answer:

The distribution of sample means consist of the set of means of all the possible random samples of a specific size(n) from a specific population

Answer:

= 15km/hour

Step-by-step explanation:

Distance = 225km
Time = 15 hours

We will divide distance over time and then we will get the average speed so the average speed will be = 15 km\hour.

Answer:

Below in bold.

Step-by-step explanation:

Speed = distance / time

= 225/15

= 15 km/hour.

Using the integers −9 to 9 at most one time each, place a digit in each box (1, 3) and (9, 3) or (-9, 3) to create endpoints for the longest possible line segment both numerically and graphically whose midpoint is (1, 3).

To find the endpoints of the longest possible line segment with midpoint (1, 3), we can use the midpoint formula, which states that the midpoint of a line segment with endpoints (x₁, y₁) and (x₂, y₂) is ((x₁+x₂)/2, (y₁+y₂)/2).

In this case, we know the midpoint is (1, 3), so we can set up two equations using the variables for the endpoints (x and y) and solve for them:

(x₁ + x₂)/2 = 1

(y₁ + y₂)/2 = 3

We also know that the line segment must be as long as possible, so the endpoints should be as far away from each other as possible. To maximize the distance between the endpoints, we can choose one endpoint to be -9 and the other endpoint to be 9. This gives us:

(x₁ + x₂)/2 = 1 => x₁ + x₂ = 2

(y₁ + y₂)/2 = 3 => y₁ + y₂ = 6

Now we can solve for x₁ and y₁, since x₂ and y₂ will be 2-x₁ and 6-y₁ respectively:

x₁ + (2-x₁) = 2 => x₁ = 1

y₁ + (6-y₁) = 6 => y₁ = 3

So the endpoints of the longest possible line segment with midpoint (1, 3) are (1, 3) and (9, 3) or (-9, 3), and its length is 8 units.

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Sum of Interior Angles = (Number of Sides -2) • 180 degrees

Sum of Interior Angles =  29 * 180

Sum of Interior Angles =  5,220

The interior angle sum of 31-gon is A = 5220°

What is the sum of the interior angles of a polygon?

The sum of the interior angles of a polygon is given by the formula

Sum of Interior angles of a polygon with n sides is

nθ = 180 ( n - 2 )

where n is the number of sides

θ = angle in degrees

Given data ,

Let the interior angle sum of the polygon be = A

Now , the value of A is calculated by

The number of sides of the polygon n = 31

So , the interior angle sum of the 31-gon is given by the equation

Sum of Interior angles of a polygon with n sides is

nθ = 180 ( n - 2 )

where n is the number of sides , so

Substituting the values in the equation , we get

The value of nθ = 180 ( n - 2 )

The value of nθ = 180 ( 31 - 2 )

The value of nθ = 180 x 29

The value of nθ = 5220°

Therefore , the value of A is 5220°

Hence , The interior angle sum of 31-gon is A = 5220°

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The pickup fee is $0.05 .The rate per mile is $1.12..The total cost of a 7-mile trip is $7.89

What is meant by rate?

The term "rate" refers to the measurement of the change in one quantity relative to another, often relative to time. It is usually expressed as a ratio or fraction of the two quantities being compared. Examples of rates are velocity, interest rate, and growth rate.

What is meant by cost?

Costs refer to the value of resources or expenses incurred to achieve a goal. They may be monetary or non-monetary and are often calculated by multiplying quantity by price.

According to the given information:

Let's call the pickup fee "P" and the rate per mile "R". We can use these variables to write equations based on the given information:For the 12-mile trip:

P + 12R = 14.29

For the 17-mile trip:

P + 17R = 19.89

To solve for the pickup fee and rate per mile, we can use these equations to eliminate "P" and solve for "R":

(P + 17R) - (P + 12R) = 19.89 - 14.29

5R = 5.6

R = 1.12

Now we can substitute the value of "R" into one of the original equations to solve for "P":

P + 12(1.12) = 14.29

P = 0.05

Therefore, the pickup fee is $0.05 and the rate per mile is $1.12.To calculate the total cost of a 7-mile trip, we can use the formula:

Total cost = Pickup fee + (Rate per mile x Distance)

Substituting the given values, we get:

Total cost = $0.05 + ($1.12 x 7)

= $7.89Therefore, a 7-mile trip will cost $7.89.

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9514 1404 393

Answer:

   3678%

Step-by-step explanation:

If we assume the interest is compounded, then the effective annual rate is ...

  ((1 +1%)^365 -1) × 100% = (37.7834 -1)×100% ≈ 3678%

The Bernoulli differential equation is a nonlinear ordinary differential equation of the form:

dy/dx + P(x)y = Q(x)y^n, where n ≠ 0, 1.

For n = 0 or n = 1, the equation is linear. For other values of n, a common technique to linearize the equation is to make the substitution y = v^(-1/n-1). The resulting equation is:

dv/dx + (P(x) + Q(x)/v^(1/n-1)) * (1/n-1) * v^(1/n-2) * dv/dx = 0.

For the initial value problem given, we have P(x) = -1/x, Q(x) = -5, and n = 2.

We make the substitution y = v^(-1), so v = y^(-1), and dv/dx = -y^(-2)dy/dx. The equation becomes:

-y^(-2)dy/dx + (-1/x - 5y^2) = 0.

We have the initial condition y(1) = 1/5. In terms of v, the initial condition becomes v(1) = 1/(1/5)^2 = 25.

Now, the differential equation is linear, and we can solve it using standard methods, such as separation of variables. To find the solution that satisfies the initial condition, we may use numerical methods such as the Euler method or Runge-Kutta method.

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Answer:

The two angles that are directly across the intersection point from each other are called vertical angles. Vertical angles are always congruent.

Step-by-step explanation:

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Vertical angles are two angles that are opposite of each other when two intersect. These angles are congruent.

Vertical angles are angles opposite to each other where two lines cross.

When two lines intersect, they naturally form two pairs of vertical angles. Vertical angles share the same vertex or corner, and are opposite each other.

These pair of angles are congruent which means they have the same angle measure.

Hence, Vertical angles are two angles that are opposite of each other when two intersect. These angles are congruent.

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Answer:

1.25 is not closer to 1.04 because it's like, 1 dollar and 4 cents; compared to 1 dollar and 25 cents. Obviously 25 cents is more than 4 cents.

Step-by-step explanation:

1.25 rounded:

1.30

1.04 rounded:

1.00

Answer:

A(-3,4) B(1,-8)

y-y1/x-x1 =y2-y1/x2-x1

y-4/x--3 = -8-4/1--3

y-4/x+3 = -12/1+3

y-4/x+3 =-12/4

y-4/x+3 = -3

y-4 = -3(x+3)

y-4=-3x-9

y+3x +9-4=

y+3x+5=0

Answer:

y = -3x - 5

Step-by-step explanation:

-3, 4 and 1, -8

1 - -3 = 4

-8 - 4 = -12

\(\frac{-12}{4}\) = \(\frac{-3}{1}\) = -3

gradient/slope = -3

now substituting in the point -3, 4 to find the y intercept:

4= -3 x -3 + c

4 = 9 + c

-5 = c

y intercept = -5

equation is y = -3x - 5

Answer:

The best data structure in storing card is an array.

The best choice for a shopping cart is hash-maps. the advantage of harsh mark is that they are dynamic in nature.

Waiting lists are managed by a method called the  First In First Out. when an individual is  waiting  for too long, he or she should be given the first chance for service.

Sorted links are a better options for storing tickets.

Step-by-step explanation:

Solution

In other to store the cards the best structure to be applied here is an array.

Now, we are aware the array size, which comprises of 52 items, and hence card vales can be  easily stored  For standard 52-deck cards, a 2D array of size 4x15 can also be applied, with 4 being color count, and 13 being card in each color.

In this example, the better option for shopping cart is hash-maps, because it is dynamic in nature for instance, when items are  removed and more often, and also, there is a need for mapping of item ID or name to its actual database, so these values can be kept or stored as key-value pairs.

Waiting lists are normal managed in a way of First In First Out, since a person is waiting longer should be given the first chance for service. this FIFO method is best used by a Queue. so this online waiting list can best be used by a queue.

For tickets storing, a better option will be the sorted linked lists. because the tickets are to be stored in a large amount, and there will be deletions and insertions in large quantity. so keeping them in a sorted list will reduce the resource usage and the trade-off made as high search time will also have less effect, as there will be a limited number of searches.

Using the normal distribution, it is found that 2.5% of the snakes are longer than 16.6 in.

In a normal distribution with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

In this problem, the mean and the standard deviation are respectively, given by \(\mu = 15, \sigma = 0.8\).

The proportion of the snakes are longer than 16.6 in is 1 subtracted by the p-value of Z when X = 16.6, hence:

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{16.6 - 15}{0.8}\)

\(Z = 2\)

\(Z = 2\) has a p-value of 0.975.

1 - 0.975 = 0.025 = 2.5% of the snakes are longer than 16.6 in.

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Answer:

D - 5%

Explanation:

Given the information about the circle, the value of x is 7.3

A circle is simply a round shape that has no corners or line segments. It is a shape consisting of all points in a plane that are at a given distance from a given point, the centre. Equivalently, it is the curve traced out by a point that moves in a plane so that its distance from a given point is constant.

The value of x based on the information given will be:

10x + 38 = 111

10x = 111 - 38

10x = 73

Divide

x = 73 / 10

x = 7.3

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Step-by-step explanation:

the area of a rectangle is

length × width

the perimeter of a rectangle is

2×length + 2×width

so,

length×width = 48 cm²

2×length + 2×width = 28 cm

length + width = 14 cm

length = 14 - width

we use this in the first equation :

(14 - width) × width = 48

14×width - width² = 48

-width² + 14×width - 48 = 0

a quadratic equation

ax² + bx + c = 0

has the general solution

x = (-b ± sqrt(b² - 4ac))/(2a)

in our case

x = width

a = -1

b = 14

c = -48

width = (-14 ± sqrt(14² - 4×-1×-48))/(2×-1) =

= (-14 ± sqrt(196 - 192))/-2 =

= (-14 ± sqrt(4))/-2 =

= (-14 ± 2)/-2 =

= 7 ± 1

width1 = 7 + 1 = 8 cm

width2 = 7 - 1 = 6 cm

length1 = 14 - width1 = 14 - 8 = 6 cm

length2 = 14 - width2 = 14 - 6 = 8 cm

so, we see, one of them must be 8 cm, and the other 6 cm.

let's length be the longer side, so

length = 8 cm

width = 6 cm

Answer:

(0, -10/3)

the -10 is over the 3 in the form of a fraction