Write the equation of the line with slope -2 passing through the point (7, -1).

Answer:

C

Step-by-step explanation:

trust me c is the correct answer

Answer:

Step-by-step explanation:

The bell boy added $270 and $20 incorrectly. The $20 bill was something that was returned due to overcharching. On the other hand, $270 was the amount that they paid for their room. This only means that $20 should be deducted from $270 and that's the amount that they paid for their room while $30 and $20 are the amount that the bell boy received as a tip

Total money of the three men: 3($100) = $300

They paid $270 for the room: $300 - $270 = $30

Tip for the bell boy: $30 - $30 = $0

Amount overcharged to them: $0 + $20 = $20

Tip to the bell boy: $20 - $20 = $0

They were left with no more money from the original $300.

g(x)=4

f(x)=×^2-5

(g+f)(n)​

Add both equations and replace x by n

(g+f) (n) = n^2-5+4 = n^2-1

Answer:

Step-by-step explanation:

10 + 8x =10003

8x = 10003 - 10

8x = 9993

X = 9993 ÷ 9

Step-by-step explanation:

Rearrange = 10 + 8 x =10003

                      8x + 10 = 10003

 subtract both= 8x + 10 = 10003

                          8x + 10 -10= 10003-10

 simplify=  subtract the number  8x = 999

Divide the both number = 8x = 9993

                                         8x/8 =993/8

And them simplify it again = x = 9993/8

Answer:

x + x - 45 = 90

2x - 45 = 90

2x = 135

x = 67.5, so x - 45 = 22.5

The other two angles measure 22.5° and 67.5°.

The value of y is 4√3

Similar triangles have the same corresponding angle measures and proportional side lengths. The corresponding angles of similar triangles are congruent or equal.

Also , the ratio of corresponding sides of similar triangles are equal.

There are two triangles that are similar

Therefore;

y /16 = 4/y

y² = 48

y = √48

y = √16 × √ 3

y = 4√3

Therefore, the value of y is 4√3

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The difference in overall loss or gain between sell at the current day's high price or low price is found tp be the difference in overall gain as $280.10

The third option is correct.

High price value: 115 shares * $105.19 per share = $12,084.85

Low price value: 115 shares * $103.25 per share = $11,858.75

High price value: 30 shares * $145.18 per share = $4,355.40

Low price value: 30 shares * $143.28 per share = $4,298.40

The overall value at high price:

$12,084.85 + $4,355.40

= $16,440.25

The overall value at low price:

$11,858.75 + $4,298.40

= $16,157.15

In conclusion, the difference in overall gain or loss:

$16,440.25 - $16,157.15 = $280.10

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The sampling method used in this problem is classified as:

Simple Random Sampling

Samples may be classified as:

In this problem, all the options are assigned a number and then taken, hence a Simple Random Sample is used.

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Answer:

5 3/4 bakers can make 27.91 pretzels in 1 1/2 hours.

Step-by-step explanation:

Given that 1/3 of 33 bakers can make 89 pretzels in 2 1/2 hours, to determine how many pretzels can 5 3/4 bakers make in 1 1/2 hours the following calculation must be performed:

33 x 1/3 = 11

11 bakers can make 89 pretzels in 2.5 hours, that is, 35.6 per hour (89 / 2.5), and 3,236 per baker per hour (35.6 / 11).

3/4 = 0.75

Therefore, 5.75 bakers, making 3.236 per hour during 1.5 hour, will make the following amount of pretzels:

3.236 x 1.5 x 5.75 = X

4.854 x 5.75 = X

27.91 = X

Therefore, 5 3/4 bakers can make 27.91 pretzels in 1 1/2 hours.

Answer:

b. Larger groups tended to take less time to solve the puzzle.

Step-by-step explanation:

Given that

The group of 1 to 8 people and each group do have the same puzzle to solve

Now based on the given statements and attached graph

It can be seen that the larger number of groups would take lesser time for solving the puzzle

Therefore the option b is correct

And, the rest of the options would be wrong

Answer:

24

Step-by-step explanation:

so knnd

Answer: 24 is wrong

Step-by-step explanation:

Answer:

\((x+1)^2+(y+2)^2=25\)

Step-by-step explanation:

\(\boxed{\begin{minipage}{5 cm}\underline{Equation of a circle}\\\\$(x-a)^2+(y-b)^2=r^2$\\\\where:\\ \phantom{ww}$\bullet$ $(a, b)$ is the center. \\ \phantom{ww}$\bullet$ $r$ is the radius.\\\end{minipage}}\)

Given:

Substitute the given center and solution point into the formula and solve for r²:

\(\implies (2-(-1))^2+(2-(-2))^2=r^2\)

\(\implies (2+1)^2+(2+2)^2=r^2\)

\(\implies (3)^2+(4)^2=r^2\)

\(\implies 9+16=r^2\)

\(\implies 25=r^2\)

Substitute the given center and found value of r² into the formula to create an equation of a circle with the given characteristics:

\(\boxed{(x+1)^2+(y+2)^2=25}\)

Answer:

107

Step-by-step explanation:

sum means addition so 3 + 6 = 9 116 - 9 = 107 hope it helps    <3

To solve the system of equation graphically we need to plot each equation on the plane. First we notice that both equation are linear, which means that their graphs are lines; this also means that to graph them we just need two points for each equation. Let's graph the equations.

First equation: y=x-2

As we said we just need two points on the line, to get them we just need to give values to x (any values we want) and plug them in the equation to get y.

If x=0, then we have:

hence the line passes through the point (0,-2)

If x=1, then we have:

hence the line passes through the point (1,-1)

With this we conclude that the line passes through the points (0,-2) and (1,-1). Plotting this points on the plane and joining them with a straight line we have the graph of the first equation:

Second equation: y=-2x-5:

We follow the same procedure as with the first equation.

If x=0 we have:

Hence the line passes through (0,-5)

If x=1 we have:

Hence the line passes through (1,-7)

Plotting this points and joining then with a line we have the graph for the second equation:

Finally, we plot both lines in the same plane. The solution of the system will be the point of intersection of the lines. The graph of the system is shown below:

From it we notice that the lines intersect at (-1,-3).

Therefore, the solution of the system is the point (-1,-3) which means that x=-1 and y=-3.

After simplifying the following expression the power of a , c ,d e could be 20,2 , 2 , 6 .

What is expression ?

expression can be defined as with the minimum of two variables or numbers and at least one math operation.

Given expression,

(\(a^{10}\) \(b^{0}\)cd\(e^{3}\) ) power -2

so, we know that (a) power -1 could be 1/a .

similarly,

(\(a^{10}\) \(b^{0}\)cd\(e^{3}\) ) power -2  =  1  /  \(a^{20}\) \(c^{2}\)\(d^{2}\)\(e^{6}\)

Hence the values after simplifying the following expression, the power of a , c ,d e could be 20,2 , 2 , 6 .

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Answer:

120

Step-by-step explanation:

90+90+x+60=360

240+x=360

x=360-240

x=120⁰

Answer:

x = 180° - 60° = 120°

Step-by-step explanation:

Because they are same side interior angles

Answer:

f⁻¹(x) = (x + 10)/2

General Formulas and Concepts:

Algebra I

Step-by-step explanation:

Step 1: Define

f(x) = 2x - 10

Step 2: Rewrite

Step 3: Find Inverse

Solve for the new y.

Answer:

\(let \: the \: {f}^{ - 1}(x) \: be \: m \\ m = \frac{1}{2x - 10} \\ m(2x - 10) = 1 \\ 2x - 10 = \frac{1}{m} \\ x = \frac{1}{2m} + 5 \\ therefore \\ {f}^{ - 1} (x) = \frac{1}{2x} + 5\)

Answer:

17

Step-by-step explanation:

STUDY HARD GUYS I NEED HW HELP

hmm..

Step-by-step explanation:

yes since the exponent is how many times you will multipy the muber by

Remainder=2

The number is divided by 3, 4, 5, 6.

What is an example of a remainder?

Sum remaining after division (happens when the first number does not divide exactly by the other).

                  Example: Dividing 19 by 5 precisely is not possible. 3 x 5 = 15, which is 4 less than 19, is the closest you can get without exceeding.

The required number is 62.

Let the required smallest number be X.

We are aware that the required number is to be divided by 5, 6, 4, 3.

The number leaves a remainder=2 on dividing by the aforementioned numbers.

So, we will calculate the LCM of 6, 5, 4, 3 to get the number.

The lowest multiple that is common between 6, 5, 4, 3=60

We divide X by 60 and get 2 as the remainder.

So, X has to be 2 more than the LCM.

X=60+2

X=62

Therefore, the required number is 62.

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Answer:

Los números son 23 y 35.

Step-by-step explanation:

Q: The sum of two numbers is 58. If one of the numbers is 12 more than the other number, what are the numbers?

Set the numbers as x and y. Using the given information, we have two equations:

x+y=58

x=y+12

Solving using substitution, we have:

y+y+12=58 -> y=23

Substituting, x=23+12=35

The numbers are 23 and 35.

Answer:

5

Step-by-step explanation:

Jill's annual earnings can be calculated by multiplying her weekly pay by the number of weeks in a year: $298/week x 52 weeks/year = $15,496/year. Her earnings to date are $14,900, so she has earned an additional $596 in the current week.

Social Security is taxed at 6.2%, so the amount deducted from her pay each week is 6.2% of her gross weekly pay. That's 0.062 x $298 = $18.48.

Answer:

67

Step-by-step explanation:

Total shirts = 53

Have to get = 100

Remaining shirts:

= 100 - 53

= 67

Answer:  you would need to cross the bridge 5 times

Step-by-step explanation:

costing a total of $42.50 for each option.

hope this helps

Answer:

hey you can use scan and search

Answer:

I got : 0.42264973

Step-by-step explanation:

1/ -√3 + 1

-√3 = -1.73 ( 2 decimal place )

1/ -1.73 + 1

and found the answer

We can be 99% confident that the true mean healing rate of newts falls within the interval of 22.919 to 30.415 micrometers per hour.

Sample Mean: = (29 + 27 + 34 + 40 + 22 + 28 + 14 + 35 + 26 + 35 + 12 + 30 + 23 + 18 + 11 + 22 + 23 + 33) / 18

= 480 / 18

≈ 26.667

Sample Standard Deviation (s):

= ✓((Σ(29 - 26.667)² + (27 - 26.667)² + ... + (33 - 26.667)²) / (18 - 1))

≈ ✓(319.778 / 17)

≈ ✓(18.81)

≈ 4.336

Confidence level = 99%

Sample Size (n) = 18

Sample Mean = 26.667

Sample Standard Deviation (s) = 4.336

Degrees of Freedom (df) = n - 1 = 18 - 1 = 17

Using a t-table or statistical software, we find that the critical value for a 99% confidence level with 17 degrees of freedom is approximately 2.898.

Margin of Error (E) = 2.898 * (4.336 / ✓18))

≈ 3.748

Confidence Interval = (26.667 - 3.748, 26.667 + 3.748)

= (22.919, 30.415)

We can be 99% confident that the true mean healing rate of newts falls within the interval of 22.919 to 30.415 micrometers per hour. This means that if we were to repeat the study multiple times and construct confidence intervals, approximately 99% of those intervals would contain the true mean healing rate of the population.

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Answer:

x = 0.428571 repeating

Step-by-step explanation:

Answer:

-0.428571 repeating

Step-by-step explanation:

add 4.6 both sides

1.5 = -3.5x

divide -3.5 both sides

-0.428571 repeating