Reflect (-2, -1) over the y-axis.Then translate the result to the left 1 unit.What are the coordinates of the final point?

Answer:

the correct answer is 193

Step-by-step explanation:

25×1-0=25

25×2-1=49

49×2-1=97

97×2-1=193

First answer:

x=5+2y

Second answer:

y= 10-3x

Step-by-step explanation:

from the first answer your gonna place a dot at 5 on the x-axis and from that your gonna go up 2 and right 1.

the second place a point at 10 on the y-axis from that go down 3 and left 1

Answer:

31

Step-by-step explanation:

A=2(wl+hl+hw)

l -Length  

w-Width  

h-Height

A=2(wl+hl+hw)=2·(1·2+4.5·2+4.5·1)=31

Without any values of the functions f, g, h, and k, it is not possible to find the equation of each function. The equation of a function can be determined by analyzing the values of the function. Based on the given values, a possible equation can be found and then verified by plotting the points on a graph and seeing if they align with the equation.

It's important to note that the equation can be a linear or exponential equation but it's impossible to determine it without any values.

Answer:

A. 3.4.5

Step-by-step explanation:

I looked it up and it forms a right angle.

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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Answer

Selling price = $ 925

Mark percentage = 62%

The cost price is 570.

The value of the angle U from the calculation is 88 degrees.

The sine rule can be applied in a variety of situations, such as determining a triangle's unknown side lengths or angles. The sine rule can be used to locate the missing side or angle if you know the lengths of two sides and the measure of an angle (not necessarily the included angle).

By the use of the sine rule;

u/Sin U = w/Sin W

Thus;

76/Sin U = 71/Sin 69

Sin U = 76Sin 69/71

U = Sin-1 (76Sin 69/71)

U = 88 degrees

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Check the picture below.

\(\textit{Law of Cosines}\\\\ \cfrac{a^2+b^2-c^2}{2ab}=\cos(C)\implies \cos^{-1}\left(\cfrac{a^2+b^2-c^2}{2ab}\right)=\measuredangle C \\\\[-0.35em] ~\dotfill\\\\ \cos^{-1}\left(\cfrac{10^2+4^2-7^2}{2(10)(4)}\right)=\measuredangle A \implies \cos^{-1}\left(\cfrac{ 67 }{ 80 }\right)=\measuredangle A \\\\\\ \cos^{-1}(0.8375) = \measuredangle A \implies 33.12^o \approx \measuredangle A\)

Make sure your calculator is in Degree mode.

The domain of the function consists of all real numbers greater than 0.

A domain can be defined as the set of all real numbers for which a particular function is defined. This ultimately implies that, a domain is the set of all possible input numerical values to a function and the domain of a graph comprises all the input numerical values which are shown on the x-axis.

Next, we would determine the function which models the amount of gas as follows:

Function, f(x) = rate × x

Function, f(x) = 2.25 × x

Function, f(x) = 2.25x

Based on the function above, we can reasonably and logically deduce that the amount of gas cannot be negative. Therefore, the domain of this function is given by:

Domain = [0, ∞]

In conclusion, the domain is equal to all real numbers that are greater than zero (0).

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Answer:

.09

Step-by-step explanation:

Do it like this:

.2 and move the decimal 1 unit to the right.

Do the same thing with .45

You should end up with 2 x 4.5

2 x 4.5 = 9

And now you can put the decimal points back BUT this time you put it back on the .45 side (only applicable in this situation).

Now you have your answer for .2 x .45 now!

Answer:

= 0.09

Step-by-step explanation:

0.2 * 0.45 = 0.09

...

It took Ringani 2.8 years  to accumulate the total amount of R30,000.00 by depositing R8,500.00 yearly into the account with a 7.04% interest rate Compounded annually.The correct answer choice is C. 2.8 years.

To determine how long it took Ringani to accumulate the total amount of R30,000.00 by depositing R8,500.00 yearly into an account with a 7.04% interest rate compounded annually, we can use the formula for compound interest:

A = P(1 + r/n)^(nt)

Where:

A is the final amount

P is the principal amount (initial deposit)

r is the interest rate (in decimal form)

n is the number of times the interest is compounded per year

t is the time in years

In this case, we have:

P = R8,500.00

A = R30,000.00

r = 7.04% = 0.0704 (in decimal form)

n = 1 (compounded annually)

We want to find the value of t.

Using the formula, we can rearrange it to solve for t:

t = (log(A/P)) / (n * log(1 + r/n))

Substituting the given values, we have:

t = (log(30,000/8,500)) / (1 * log(1 + 0.0704/1))

Calculating this using a calculator, we find that t is approximately 2.8 years.

Therefore, it took Ringani approximately 2.8 years (rounded to one decimal place) to accumulate the total amount of R30,000.00 by depositing R8,500.00 yearly into the account with a 7.04% interest rate compounded annually.

The correct answer choice is C. 2.8 years.

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Answer:

12

Step-by-step explanation:

========================================================

Explanation:

The general equation

y = ax^2 + bx + c

has the vertex (h,k) such that

h = -b/(2a)

In this case, a = -16 and b = 147. This means,

h = -b/(2a)

h = -147/(2*(-16))

h = 4.59375

The x coordinate of the vertex is x = 4.59375

Plug this into the original equation to find the y coordinate of the vertex.

y = -16x^2+147x+118

y = -16(4.59375)^2+147(4.59375)+118

y = 455.640625

The vertex is located at (h,k) = (4.59375, 455.640625)

The max height of the rocket occurs at the vertex point. Therefore, the max height is y = 455.640625 feet which rounds to y = 455.6 feet

Certainly! I'll be happy to solve and explain the given problem to you in a step-by-step manner.

In the given diagram, we have a triangle with two angles labeled as 4x° and (3x + 10)°. We need to solve for the value of x.

According to the properties of triangles, the sum of the interior angles of a triangle is always 180 degrees. Therefore, we can set up the following equation:

4x + (3x + 10) + 90 = 180

Let's simplify the equation:

4x + 3x + 10 + 90 = 180

7x + 100 = 180

Next, we'll isolate the variable term by subtracting 100 from both sides of the equation:

7x = 180 - 100

7x = 80

To solve for x, we'll divide both sides of the equation by 7:

x = 80 / 7

Now, let's calculate the value of x:

x ≈ 11.43

Therefore, the value of x is approximately 11.43.

Please note that this solution assumes the given diagram accurately represents the angle measurements, and the calculations provided are based on that assumption.

The probability of selecting a T from the bag is 2/11.

It is important to note that probability is the occurence of likely events. It is the area of mathematics that deals with numerical estimates of the likelihood that an event will occur or that a statement is true.

In this case, an event's probability is a number between 0 and 1. In this case, 0 denotes the impossibility of the event and 1 represents certainty.

The number of T in mathematics is 2 and the number of alphabets are 11. The probability of selecting a T from the bag is 2/11.

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Answer:

63 students

Step-by-step explanation:

84*75%=63

Answer: 30$

Step-by-step explanation:

first you divide 420 by 35 and you get 12 times 2.50$ equals 30$

Where the above relations are given, note that Options A,  D, and E are the relations that represents a function. The others are just relations.

To distinguish a function from a relation, look to see if any of the x values are repeated; if not, the relationship is a function. If some x values are repeated but the accompanying y values differ, we have a relation rather than a function.

Note that where you are given domain and range, only the range is represented on the x-axis.

Some of the x values may be seen repeated in B, and C.

How is this so?

B) In a coordinate system, values are represented as (x, y). so

In relations, B 2 is repeated twice to in connection with -5, and -6. That is:

(2, -5) , (2, -6)

Since two is x, then its repetition nullified the relation as a function.

C) On table indicated on C, it is much easier to identify the x and y values. As is seen, -3 is repeated twice in connection with 4 and 2. Thus, its repetition nullified the relation as a function.

As a result, Options A,  D, and E are the relations that represent a function.

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Answer:

That is a function

Step-by-step explanation:

hope this helps

a < 5

step by step

4 - 4 = 0

9 - 4 = 5

Answer:

The answer to this question can be described as follows:

Step-by-step explanation:

Please find the attachment

Answer:

11.2.

Step-by-step explanation:

Answer:

\( \frac{3}{4} \)

Step-by-step explanation:

Slope is equal to the change in y over the change in x.

\(m = \frac{change \: in \: y}{change \: in \: x} \)

The change in x is equal to the difference in x-coordinates, and the change in y is equal to the difference in y-coordinates .

\(m = \frac{y2 - y1}{x2 - x1} \)

Substitute in the values of x and y into the equation to find the slope.

\(m = \frac{5 - (2)}{7 - (3)} \)

Simplify.

\(m = \frac{3}{4} \)

Hence, the slope is 3/4.

Answer:

x ≤ 2

Step-by-step explanation:

x+5 ≤ 7

x ≤ 7 - 5

x ≤ 2

Answer:

18

Step-by-step explanation:

Factors of 54

1, 2, 3, 6, 9, 18, 27

Factors of 72

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36

Factors of 18

1, 2, 3, 6, 9, 18.

Greatest Common Factor

We found the factors and prime factorization of 72, 54 and 18. The biggest common factor number is the GCF number.

So the greatest common factor 72, 54 and 18 is 18.

Answer: The greatest common factor is 18

Step-by-step explanation: 54-72=18

All u have to do is subtract 54 and 72 together to find the greatest common factor

Answer: 12

Step-by-step explanation:

C=12 because u do 91+53 =144 then 144/12=12

C=12

Answer:

b.  TWO SAMPLE T TEST FOR POPULATION MEANS

Step-by-step explanation: the problem mentions difference and the mean number of minutes so you know it'll be a difference in population MEAN

Answer: These events are independent.

Step-by-step explanation:

Two events are considered independent if the outcome of one event does not affect the outcome of the other event. In this case, getting a 5 or 6 on a dice toss and getting at most 3 on a dice toss are independent events.

This is because the probability of getting a 5 or 6 is 2/6 or 1/3, which is completely unrelated to the probability of getting at most 3, which is 3/6 or 1/2. The outcome of getting a 5 or 6 does not affect the probability of getting at most 3, and vice versa. Therefore, these events are independent.

Answer:

2 1/2 beacuse he needs 1 1/4 for one feeder

Step-by-step explanation: