Please answer. Question below!

Answer:

4 miles

Step-by-step explanation:

8 + 2x = 10 + 1.50x

8 + 0.50 = 10

0.5x = 2

x = 2/0.5

x = 4

I hope that this helps!!

The total number of ways there are to order the numbers 1 through 50 so that 17 occurs first in the ordering and 11 does not occur last in the ordering are :

49! - 48!

To find out how many ways there are to order the numbers 1 through 50 so that 17 occurs first in the ordering and 11 does not occur last in the ordering, follow these steps:

1. Since 17 must be first, there are 49 remaining numbers (2 to 50, excluding 17) to order.
2. There are 49! (49 factorial) ways to order these remaining numbers.
3. However, we must subtract the cases where 11 occurs last in the ordering. In those cases, there would be 48 remaining numbers (excluding 17 and 11) to order, resulting in 48! (48 factorial) ways.
4. Therefore, the total number of ways to order the numbers as required is 49! - 48!.

So, there are 49! - 48! ways to order the numbers 1 through 50 so that 17 occurs first in the ordering and 11 does not occur last in the ordering.

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Answer: 12

Step-by-step explanation:

From the question, we are informed that Steve counts up by 4s and Jon counts up by 3s. To get the smallest number that they both say, we have to find the multiple of 3 and 4 and then choose the lowest. This will be:

Multiples of 3 = 3, 6, 9, 12, 15, 18 ...

Multiples of 4 = 4, 8, 12, 16, 20, 24 ....

We can see that the smallest is 12

Answer:

Step-by-step explanation:

4, 8 , 12 , 16, 20 , 24

3, 6 , 9 , 12, 15, 18

Answer: 200 Students

Step-by-step explanation:

The statement " Rate of college enrollment immediately after completing high school was 67% by 1997" is an example of (a) Descriptive Statistics.

The Descriptive statistics involves the use of measures, such as averages, proportions, and frequencies, to summarize and describe the main features of a set of data.

In this statement, the rate of 67% is a summary statistic that describes the proportion of high school graduates who enrolled in college immediately after completing high school in 1997.

Whereas; the inferential statistics involves making inferences or predictions about a population based on a sample of data.

The statement provides a summary statistic for the rate of college enrollment for a specific year, 1997, but it does not provide any inferences or predictions about the rate of college enrollment for other years or other populations , so it denoted a Descriptive Statistics .

The given question is incomplete , the complete question is

What type of Statistics does the statement "the rate of college enrollment immediately after high school completion was 67" represents ?

(a) Descriptive

(b) Inferential

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The base of the ramp is 45.34 inches long.

In mathematics, trigonometric functions are real functions that relate an angle of a right-angled triangle to ratios of two side lengths. The six trigonometric functions are Sine, Cosine, Tangent, Secant, Cosecant, and Cotangent.

Given here: Height of the tramp= 13 in. and angle of elevation at the base =16°

Now we know that Tan 16= 13/base ( tan ∅ = perpendicular/base)

∴ Base= 13/tan 16

           =45.34 inches

Hence, The base of the ramp is 45.34 inches long.

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Answer: 1

Step-by-step explanation:

If you get a 10/10 on something, it’s 100%. If you get a 9/10, it’s 90%. If you get a 9/9, it’s 100%. So, if you get 8/9, it’s roughly 90% but not exact. It’s actually 88.8%

Answer:

7 questions

Step-by-step explanation:

if 9 = 100%

? = 80%

if less more divides

80/100 ×9

4/5×9

36/5

7.2 which is approximately 7 questions

Double-check the input and review the solution provided by the matrix calculator to ensure accuracy.

The matrix calculator is a useful tool for solving equations involving matrices. To find the values of the variables in the matrix calculator, follow these steps:

1. Enter the coefficients of the variables and the constant terms into the calculator. For example, if you have the equation 2x + 3y = 10, enter the coefficients 2 and 3, and the constant term 10.

2. Select the appropriate operations for solving the equation. The calculator will provide options such as Gaussian elimination, inverse matrix, or Cramer's rule. Choose the method that suits your equation.

3. Perform the selected operation to solve the equation. The calculator will display the values of the variables based on the solution method. For instance, Gaussian elimination will show the values of x and y.

4. Check the solution for consistency. Substitute the obtained values back into the original equation to ensure they satisfy the equation. If they do, you have found the correct values of the variables.Remember to double-check the input and review the solution provided by the matrix calculator to ensure accuracy.

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Answer:

t= 19/9

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

The color of your eyes doesn't depend on your shoe size, and your shoe size doesn't depend on the color of your eyes. All the other examples have a clear independent and dependent variable.

For the given figure, where m and nare relatively prime positive integers. The value of m+n is 32.

The law of cosines, also known as the law of cosines, relates all three sides of a triangle to one angle of the triangle. Most useful for searching for missing information in triangles. For example, if you know all three sides of a triangle, you can use the law of cosines to find the measure of the angle. Similarly, if you know two sides and the angle between them, you can find the length of the third side by the law of cosines.

Let X be the intersection of the circles with centers B and E, and Y be the intersection of the circles with centers C and E.

Since the radius of B is 3, AX = 4.

Assume AE = p.

Then EX and EY are radii of circle E and have length 4 + p.

AC = 8, and ∠CAE = 60° because we are given that triangle T is equilateral.

Using the Law of Cosines on Δ CAE, we obtain

(6+p)² =p² + 64 - 2(8)(p) cos 60

The 2 and the cos 60 terms cancel out:

p² + 12p + 36 = p² + 64 - 8p

12p+ 36 = 64 - 8p

p = 28/20

= 7/5

The radius of circle E is 4 + (7/5)

= 27/5,

So, the answer is 27 + 5 = 32

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Answer:

1/2

0.5

50%

Step-by-step explanation:

The square  is spilt into 2 equal pieces, one out of the 2 is shaded therefore 1/2 is shaded. The decimal to represent the shaded area would be 0.5, as 1 times 1/2 = 0.5. As a percent the shaded area represents 50% as 1/2 times 100 (per cent = per hundred) is equivalent to 50.

I hope this helps :0).

Answer

7q+7

Step-by-step explanation:

collect likes terms

When the relationship between the unit of measurement of a scale (strength) and an outcome (pounds lifted) can be described by a linear equation y = a bx, the scale is said to have a property of equal intervals.

Therefore, when the relationship between the unit of measurement of a scale (strength) and an outcome (pounds lifted) can be described by a linear equation y = a bx, the scale is said to have a property of equal intervals.

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Answer: Cylinder uses less material to make.

Box holds more soup then cylinder.

Step-by-step explanation:

Total surface area of cuboidal box =2(lw+wh+lh), l= length, w=width, h=height

Total surface area of cylinder = \(2\pi r(r+h)\)  where r= radius and h is height.

Given , Dimension of box : 7.5 cm by 4.7 cm by 14.5 cm

Dimension of cylinder : radius of 3.3 cm and a height of 10 cm.

Total surface area of box =2((7.5)(4.7)+(4.7)(14.5)+(7.5)(147.5)) sq. cm

= 2(1209.65)

=2419.3 sq. cm

Total surface area of cylinder = \(2(3.14)(3.3)(3.3+10)\)\(=275.63\ \text{ sq. cm}\)

[π=3.14]

(Total surface area of cylinder)<(Total surface area of box )

So, cylinder uses less material to make.

Volume of box = l x w x h

= (7.5)(4.7)(14.5) = 511.13 cubic cm

Volume of cylinder = \(\pi r^2h\)

\(=(3.14)(3.3)^2(10)\)

= 341.946 cubic cm

As (Volume of box) > (Volume of cylinder )

So, Box holds more soup then cylinder.

The students were interested in the proportion of rental apartments in these suburbs that were leased as furnished apartments and whether this varied with the number of bedrooms in these apartments 500x + 900y + 1500z = 750,000

formal test, using a = 0.05,of whether the proportions of furnished apartments varies across number of bedrooms, that is, whether the furnishing status of an apartment independent of the number of bedrooms in the apartment You may use R to carry out these calculations, but please state the following information from this test: i. the table of expected frequencies ii. the observed value of the test statistic iii. the relevant degrees of freedom for the distribution of the test statistic iv

500x + 900y + 1500z = 750,000 - - - (1)

x + y + z = 1000 - - - - (11)

x = 200 + y + z - - - - (111)

x + 2y + 3z = 1550 - - - (1V)

I bedroom = x

2 bedroom = y

3 bedroom = z

All the condition s gjvbbs'

500x + 900y + 1500z = 750,000 - - - (1)

x + y + z = 1000 - - - - (11)

x = 200 + y + z - - - - (111)

x + 2y + 3z = 1550 - - - (1V)

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The number of cases per batch that should be produced to minimize cost is: 300 units

The number of cases per batch that should be produced to minimize cost can be found by using the Economic Order Quantity.

The Economic Order Quantity (EOQ) is a calculation performed by a business that represents the ideal order size that allows the business to meet demand without overspending. The inventory manager calculates her EOQ to minimize storage costs and excess inventory.  

Thus:

Number of cases per batch = √((2 * Setup costs * annual demand)/ holding costs for the year)

Solving gives:

√((2 * 30 * 15000)/10)

= √90000

= 300 units

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The new price of the scooter will be:

= $50 - (20% × $50)

= $50 - $10

= $40

The sale price of the football will be:

= 35% × $60

= $21

Answer:

X=0.6

Hope u get it right!

Answer:

X=0.6

Step-by-step explanation:

I think that is the answer

(-2, -9) is the vertex of the given quadratic function

Given the quadratic equation below:

F(x) = x^2+4x-5

The quadratic equation in vertex form is expressed as:

f(x) = a(x - h)² + k

f(x) = x² + 4x - 5

f(x) = x² + 4x + 2² - 2² - 5

f(x) =  x² + 4x + 4 - 4 - 5

f(x) = (x + 2)² - 9

Hence the vertex of the function from the resulting function is (-2, -9)

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Answer:

Your answer is:

(x+2)^2

Factor x2+4x+4

x2+4x+4

The middle number is 4 and the last number is 4.

Add together to get 4

Multiply together to get 4

2+2 = 4

2*2 = 4

(x+2)(x+2) or (x+2)^2

Answer:

Heath

I think

Step-by-step explanation:

Answer:

is it Heath?

Hope it helps!!!

In the parallelogram DEFG, value of x is,

⇒ x = - 31

An angle is a combination of two rays (half-lines) with a common endpoint. The latter is known as the vertex of the angle and the rays as the sides, sometimes as the legs and sometimes the arms of the angle.

Given that;

The parallelogram DEFG is shown,

And, m ∠FHG = 58° , m ∠DHE=(−2x−4)°

Now, By figure we get;

⇒ m ∠FHG = m ∠DHE

⇒ 58° = (- 2x - 4)°

⇒ 58 = - 2x - 4

⇒ 58 + 4 = - 2x

⇒ 62 = - 2x

⇒ x = - 31

Thus, In the parallelogram DEFG, value of x is,

⇒ x = - 31

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Answer:

Step-by-step explanation:

When dilating quadrilateral ABCD using P as the center and a scale factor of 1/2, the image is A'B'C'D'.

To dilate the quadrilateral, we multiply the coordinates of each vertex by the scale factor. With a scale factor of 1/2, we can determine the new coordinates as follows:

A' = (1/2) * A

B' = (1/2) * B

C' = (1/2) * C

D' = (1/2) * D

Labeling the new vertices, we have A'B'C'D' as the image of quadrilateral ABCD under the dilation with a scale factor of 1/2.

Similarly, if we dilate quadrilateral ABCD using P as the center and a scale factor of 2, the image is A"B"C"D".

Using the same process as before, we determine the new coordinates:

A" = 2 * A

B" = 2 * B

C" = 2 * C

D" = 2 * D

Labeling the new vertices, we have A"B"C"D" as the image of quadrilateral ABCD under the dilation with a scale factor of 2.

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To find the kernel (ker(T)), nullity(T), range(T), and rank(T) of the linear transformation T defined by T(x) = Ax, we need to perform some calculations based on the matrix A given.

Let's start with the given matrix:

A = [[5, -3], [1, -1]]

(a) ker(T) (Kernel of T):

The kernel of T consists of all vectors x such that T(x) = 0. In other words, we need to find the solutions to the equation Ax = 0.

To find the kernel, we solve the homogeneous system of linear equations represented by the augmented matrix [A | 0]. So we have:

[[5, -3, 0], [1, -1, 0]]

Row reducing the augmented matrix:

[[1, -1/5, 0], [0, 0, 0]]

From the row-reduced form, we can see that the system has one dependent variable (let's say t), and one free variable (let's say s). This means the kernel consists of all vectors of the form [(s, t)] where s and t can be any real numbers.

Therefore, the kernel (ker(T)) is given by (c) ker(T) = [(s, t, s - 4t)] where s and t are any real numbers.

(b) nullity(T):

The nullity of T is the dimension of the kernel (ker(T)). In this case, since the kernel (ker(T)) is given by (c) ker(T) = [(s, t, s - 4t)], the nullity (nullity(T)) is 2.

(c) range(T):

The range of T is the set of all possible outputs of T(x) as x varies over the domain. In other words, we need to find the column space of the matrix A.

To find the range, we perform row operations on the matrix A and look for the pivot columns. The pivot columns correspond to the columns that contain leading 1's after row reduction.

Row reducing the matrix A:

[[5, -3], [1, -1]]

[[1, -1], [0, -1]]

From the row-reduced form, we can see that the first column is a pivot column, but the second column is not. Therefore, the range (range(T)) is the span of the column associated with the pivot column.

The range (range(T)) is given by (b) range(T) = R2, which represents the set of all vectors in the 2-dimensional Euclidean space.

(d) rank(T):

The rank of T is the dimension of the range (range(T)). In this case, since the range (range(T)) is given by (b) range(T) = R2, the rank (rank(T)) is 2.

In conclusion:

(a) ker(T) = [(s, t, s - 4t)] where s and t are any real numbers.

(b) nullity(T) = 2

(c) range(T) = R2

(d) rank(T) = 2

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Answer:

hope this helps you out good luck

Answer:

The correct answer is -2 , -4

Step-by-step explanation:

if x = -2 and y = -4

-5x-3y=22

so :

-5(-2)-3(-4)=22

10+12=22

22=22

end.

Answer:

$6.69

Step-by-step explanation:

Since we know the total cost of 5 pairs of gloves, all we have to do to find the unit price is divide the total cost by how many gloves were are being sold:

33.45 / 5 = 6.69

Therefore, one pair of gloves costs $6.69

Hope this helps :)

According to the conversation we can infer that the information focused on the conversation of two people; one of them is studing for an exam.

To identify what is the conversation about we have to consider who is talking and what are the ideas that they share. In this case, we can infer that the main idea of this conversation is that one of them is studying for an exam this week.

Also, the second person is apologizing because he considered that he is distracting the other person. So, the correc information about de conversation is a short conversation about study.

Note: This question is incomplete. Here is the complete information:

Conversation:
Hello

Hello, How are you?

I am fine, and you?

i am fine too, What are you doing?

I am studing for an exam this week.

Oh, sorry I won´t distract you.

Don´t worry.

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