Find the coordinates of the reflection: B (7,-1) is reflected over the x-axis B’=?

Answer:

On the y axis

Step-by-step explanation:

Given

\((x,y) = (0,1)\)

Required

Determine the location of the point

\((x,y) = (0,1)\)

This implies that;

\(x = 0\)

\(y = 1\)

For any given point

Where \(x = 0\) and \(y \ne 0\)

It means that the point lies on the y axis.

See attachment for further explanation

Based on an equation, the amount that Isabel spent on bread was $2.42.

To solve the equation for the amount spent on bread, we determined the total amount Isabel spent by subtracting the change from the total bills she had.

An equation is a mathematical statement of the equality or equivalence of two or more mathematical expressions.

The amount Isabel spent on vegetables = $15.91

The amount she spent on fruits = $11.22

Let the amount she spent on bread = x

The total amount she went with = $30 (3 x $10)

The change she got after giving the cashier $30 = $0.45

The total amount Isabel spent for vegetables, fruits, and bread = $29.55 ($30.00 - $0.45)

x = $2.42 ($29.55 - $15.91 - $11.22)

Check:

Vegetables = $15.91

Fruits = $11.22

Bread = $2.42

Total expenses = $29.55

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So the different number has a 4 with a value of 40.

What is Algebraic expression ?

Algebraic expression can be defined as combination of variables and constants.

To solve this problem, we need to first identify the place value of the digit 4 in the given number.

The digit 4 is in the hundreds place in the number 431.67, so its value is 4 x 100 = 400.

According to the problem statement, the 4 in the different number represents a value which is one-tenth of the value of the 4 in 431.67. Therefore, the value of the 4 in the different number is:

400/10 = 40

To determine the value of the different number, we need to look at the other digits in the number. Since we don't have any information about the other digits, we cannot determine the value of the different number. The answer is that the value of the different number cannot be determined with the information given.

Therefore, So the different number has a 4 with a value of 40.

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Answer:

Annette should plan to spend 2.25 hours walking back.

Step-by-step explanation:

To solve this problem, we can use the formula:

Time = Distance / Speed

Let's assume the distance of the race is D miles.

Annette spends her time running the distance of the race, which takes:

Time running = D / 9 hours

She then walks back the same distance, which we need to find the time for:

Time walking = D / 3 hours

Since Annette has a total of 3 hours for her training, the sum of the running time and walking time should equal 3 hours:

D / 9 + D / 3 = 3

To simplify the equation, we can multiply all terms by 9 to eliminate the denominators:

D + 3D = 27

Combining like terms:

4D = 27

Dividing both sides of the equation by 4:

D = 6.75

So, the distance of the race is 6.75 miles.

To find the time Annette should spend walking back, we substitute the distance into the time-walking formula:

Time walking = D / 3 = 6.75 / 3 = 2.25 hours

Therefore, Annette should plan to spend 2.25 hours walking back.

Answer:

3 cuh

Step-by-step explanation:

15/3 = 5 9/3= 3

Hi there!

~

\(R = \frac{2.1}{sin 67.5}\)

\(Arc = R\) \(\frac{3\pi }{4}\)

(A)

Hope this helped you!

Answer:

a. 2m

b. 5m

Step-by-step explanation:

a. from the triangle assuming ABC

half triangle ABC will be ABO and ACO

AO = OB = 4.20m ÷ 2

AO = OB = 2.1m

finding the angle between AB and AC

360 - 225 = 135°

the angle between AB and AO

135÷2= 67.5°

using sin to find the length of AB = radius

sin 67.5 = 2.1/r

r= 2.2730 ~2m

b. theta/360 ×2πr = length of the arc

L= 135/360×2×22/7 × 2.2730

Length of the arc = 5.3578m ~ 5m

Answer:

Step-by-step explanation:

You want to know the amounts invested in stocks, bonds, and CDs when the total investment is $145000, $10000 more is invested in bonds than CDs, earnings are $6977.50, and rates of return are 6.7% for stocks, 2.5% for bonds, and 5.75% for CDs.

We can write three equations in 3 unknowns for this problem. Let s, b, c represent amounts invested in stocks, bonds, and CDs, respectively. Then the problem statement tells us the relations are ...

These equations can be solved using any of several methods. The second equation offers a nice relation between b and c, so substitution for one or the other of those will reduce the equations to two equations in two unknowns.

We prefer a calculator solution using an augmented matrix of the coefficients. That is shown in the attachment. It tells us the investment amounts are ...

__

Additional comment

Using b = c +10000, the two remaining equations are ...

<95141404393>

Answer:

Step-by-step explanation:

60 x²-132x+24=12[5x²-11x+2]

=12[5x²-10x-x+2]

=12[5x(x-2)-1(x-2)]

=12(x-2)(5x-1)

Answer:

Step-by-step explanation:

\(60x^2-132x+24\\ \\ 12(5x^2-11x+2)\\ \\ 12(5x^2-10x-x+2)\\ \\ 12(5x(x-2)-1(x-2))\\ \\ 12(5x-1)(x-2)\)

Answer:

151.9 or 15.2

Step-by-step explanation:

the surface area of the cylinder is approximately 471 dm².

Now, For the surface area of the cylinder, we need to find the lateral area  and the area of the two circular bases.

Since, The formula for the lateral area of a cylinder is

L = 2πrh,

where r is the radius of the cylinder and h is the height.

In this case, the diameter is 10 dm,

So the radius is 5 dm.

And the height is also 10 dm.

Therefore, the lateral area is:

L = 2πrh

L = 2π(5 dm)(10 dm)

L = 100π dm²

The formula for the area of a circle is

A = πr²,

where r is the radius.

In this case, the radius is 5 dm,

So the area of each base is:

A = πr²

A = π(5 dm)²

A = 25π dm²

To find the total surface area, we add the lateral area and the area of the two bases:

SA = 2(Area of Base) + Lateral Area

SA = 2(25π dm²) + 100π dm²

SA = 50π dm² + 100π dm²

SA = 150π dm²

Substitute pi as 3.14, we can calculate:

SA ≈ 150(3.14) dm²

SA ≈ 471 dm²

Therefore, the surface area of the cylinder is approximately 471 dm².

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The  probability of selecting a boy then a girl is 24/91

Probability is defined as the chance of occurrence of an event

E.  It is the ratio of the number of required outcome over the total of all possible outcomes in an even.

the given parameters that will help us to determine the probabilities are

The probability of the event is

P(E) = Pr(B) Then Pr(G)

Pr(E) = 8/14 *6/13

Simplify the fractions to have  48/182

= 24/91

Conclusively the selection is 24/91

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the graph of Andrew's distance from home will look like this: Time (x-axis)  0  1  2  3  4  5  6  7  8  9  10 Distance (y-axis)  0  5  10 10 15 20 20 24 28 32  0

Graph is a data structure which is used to represent relationships between objects or data points. It is composed of nodes and edges, where nodes are the objects and edges are the connections between the objects. Graphs are used to represent mathematical equations, networks, and data structures such as trees. They are also used to represent relationships between data points in large datasets. Graphs can be used to represent both directed and undirected relationships, and are commonly used in many fields including computer science, engineering, mathematics, and data science.

From the given information, we can create a graph that shows Andrew's distance from home as he drives to the store, to the bank, and back again. The x-axis will represent time (in minutes), and the y-axis will represent the number of blocks away from home.

At time zero, Andrew is at his home, so the graph will begin with a point at (0, 0). As he travels to the store, the graph will move up 5 blocks for every minute he drives. Therefore, after 2 minutes, he will be 10 blocks away from home, so the graph will be at (2, 10). After he stops at the store for 2 minutes, he will still be 10 blocks away from home, so the graph will stay at (2, 10).

When he leaves the store and drives to the bank, he will move 5 blocks each minute. After 5 minutes, he will be 25 blocks away from home, so the graph will be at (5, 25). After he stops at the bank for 3 minutes, he will still be 25 blocks away from home, so the graph will remain at (5, 25).

Finally, when he drives home, he will move 4 blocks for each minute he drives. After 5 more minutes, he will be back at his home, so the graph will be at (10, 0).

Therefore, the graph of Andrew's distance from home will look like this:

Time (x-axis)  0  1  2  3  4  5  6  7  8  9  10

Distance (y-axis)  0  5  10 10 15 20 20 24 28 32  0

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The vector whose magnitude is 3 and whose components I. the I and j direction are equal is; <3√2/2i, 3√2/2j>.

It follows that the magnitude of a vector in terms of its components in the i and j direction is;

M = √(x² + y²).

On this note, since the i and j components are equal; x = y and hence, we have;

3 = √(x² + x²).

3² = 2x²

x² = 9/2

x = 3/√2

x = 3√2/2

On this note, the required vector which is as described is; <3√2/2i, 3√2/2j>.

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Answer:

-24+6=

Step-by-step explanation:

select the correct rule, then solve the equation

Complete Question

Use the given minimum and maximum data entries, and the number of classes, to find the class width, the lower class limits, and the upper class limits. minimum=7, maximum = 83, 6 classes ​

What is the class width? (whole number)

We have that the Class Width is given as

7-19

20-32

33-45

46-58

59-71

72-84

Generally

\(Class\ width =\frac{83-7}{6}\)

Class width =12.67

Class width =13

Hence

Lower class limit is

7,7+13=20...33,46,59,72

Upper class limit is

7+13-1=19,32,45,58,71,84

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The monthly income of the first person is $600.

Given that, the average monthly income of three persons is RS 3,600.

The income of the first is 1/5 of the combined income of the other two.

Here, Let income of the first be A, let income of the second be B and let Income of the third be C.

A+B+C=3600 -----(i)

Income for the first person = 1/5(B+C) -----(ii)

Substitute equation (ii) in equation (i), we get

(B+C)/5 +B+C =3600

B+C+5B+5C=3600×5

6B+6C=18000

6(B+C)=18000

B+C=3000 ------(iii)

Substitute (iii) in equation (i), we get

A=$600

Therefore, the monthly income of the first person is $600.

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The number of different frames you can create, if There are 4 different styles, each available in 5 different colors, there are 3 different shades of blue to choose from, is 12.

A combination is a choice of items from a group of different items, where the order of the choices is irrelevant.

Given:

There are 4 different styles, each available in 5 different colors, there are 3 different shades of blue to choose from,

Calculate the total number of frames, we can create as shown below,

The number of frames = different styles available for blue color × shades of blue

The number of frames = 4 × 3

The number of frames = 12

Thus, the number of frames you can create is 12.

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Answer:

6−10u−U or 6−U−10u

Step-by-step explanation:

6+−5u+−5u+−U

Combine −5u and −5u to get −10u.

6−10u−U

Answer:

=−11u+6

Step-by-step explanation:

i hope this helps :)

(1) Solve;

(2) Solve;

Answer:

Context?

Step-by-step explanation:

Answer:

infinitely many solutions

Step-by-step explanation:

14x + 6 = 2(5+7x)-4

14x + 6 = 10 + 14x - 4

14x + 6 = 14x + 6

infinitely many solutions because both sides of the equation are equal

The correct answer is: C) The graph of f(x) is reflected over the x-axis and translated 3 units up to become g(x).

To understand how the graph of f(x) changes to become g(x), let's analyze the transformations applied.

The function f(x) = log(3x) represents a logarithmic function, where the base of the logarithm is 10. The graph of f(x) will have a vertical asymptote at x = 0 and will increase as x increases.

The function g(x) = -f(x) + 3 takes the negative of f(x) and then adds 3 to it. This means that the graph of g(x) is obtained by reflecting the graph of f(x) over the x-axis and then translating it vertically 3 units up.

The reflection over the x-axis changes the sign of the y-values, so the graph of g(x) will be below the x-axis where the graph of f(x) is above the x-axis, and vice versa.

The translation 3 units up moves the entire graph vertically, shifting it higher on the coordinate plane.

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The ways to elect the candidates from the total is 462

From the question, we have

The number of ways of selection could be drawn is calculated using the following combination formula

Total = ⁿCᵣ

Where

n = 11 and r = 6

Substitute the known values in the above equation

Total = ¹¹C₆

Apply the combination formula

ⁿCᵣ = n!/(n - r)!r!

So, we have

Total = 11!/5!6!

Evaluate

Total = 462

Hence, the number of ways is 462

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Answer:

The correct equation is y = 4x + 4.

The result of the expression 20 - 6 is 14.

To solve the given expression, 20 - 6, and isolate the variable, we need to clarify whether there is an equation involved. However, in this case, the expression does not contain any variable to isolate, and it is not an equation that needs balancing. It is a straightforward arithmetic expression.

Step 1: Start with the given expression, 20 - 6.

Step 2: Evaluate the subtraction operation: 20 - 6 = 14.

Step 3: The simplified expression is now 14. However, since there is no variable present, there is no need to isolate any variable.

This means that when you subtract 6 from 20, the answer is 14. Remember that isolating a variable and balancing an equation are relevant when dealing with equations that involve variables. In this case, the expression is a simple subtraction operation, yielding a constant value of 14 as the answer.

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Answer:

156

Step-by-step explanation:

Let d = people who chose dance class

274 = 2d - 38

Add 38 to both sides

274 = 2d - 38

+ 38       + 38

312 = 2d

Divide both sides by 2

312/2 = 2d/2

d = 156

Answer:

=£1970

Step-by-step explanation:

10%=£360

5%=£190

40%=£1440

45%=£1630

£3600-£1630=£1970

The Binomial probability of x = 3 for the given parameters is 0.2048

The Binomial probability relation can expressed as :

\(P(x) = nCx * p^{n} * q^{n-x}\)

where :

for x = 3

We substitute x into the equation thus :

P(x = 3) = 17C3 * (1/8)³ * (1 - 1/8)¹⁴

P(x = 3) = 0.2048

Therefore, the probability of x = 3 in the scenario given is 0.2048

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The probability of the sample mean being less than 25.3 is given as follows:

0.9713 = 97.13%.

The sample mean would not be considered unusual, as it has a probability that is greater than 5%.

The z-score of a measure X of a normally distributed variable that has mean represented by \(\mu\) and standard deviation represented by \(\sigma\) is obtained by the equation presented as follows:

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

The parameters for this problem are given as follows:

\(\mu = 25, \sigma = 1.3, n = 68, s = \frac{1.3}{\sqrt{68}} = 0.1576\)

The probability of a score less than 25.3 is the p-value of Z when X = 25.3, hence:

Z = (25.3 - 25)/0.1576

Z = 1.9

Z = 1.9 has a p-value of 0.9713.

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To verify if the relation is a function, it must be verified if from each value of x only one arrow departs.

A relation represents a function when each input value is mapped to a single output value.

In mapping notation, with the arrows, it must be verified if there is no input from which more than one arrow departs.

The problem is incomplete, hence the general procedure to verify if the relation is a function was presented.

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Answer:

-1342

Step-by-step explanation: