please help me with this question.

this is an example of linear equations is one variable

Answer:

-99

Step-by-step explanation:

Log(x-1)²=2

Log(x-1)²=Log(100)

(x-1)²=100

x-1=10 and x-1=-10

x₁=11     and x₂=-9

x₁ × x₂ = 11 × (-9) = -99

Step-by-step explanation:

{x:x is an integer where x>-3 and x<3}

Answer:

Option (4)

Step-by-step explanation:

From the graph attached,

We have to find the interval in which the function is less than zero or negative.

Value of the function are along the y-axis and negative value of the function means negative side of the y-axis.

In the graph, function is below the x-axis in the interval x > 4 and x = 6 only.

Therefore, in the interval (4, 6] function f(x) < 0.

Option (4) is the correct option.

Step-by-step explanation:

The radius r is 5 in (r = D/2). so the volume V of the beach ball is

[tex]V= \dfrac{4 \pi}{3}r^3 = \dfrac{4 \pi}{3}(5\:\text{in})^3[/tex]

[tex]\:\:\:\:\:= 523.6\:\text{in}^3[/tex]

Answer: 103.534%

I used a calculator and everything

Answer:

5

Step-by-step explanation:

(3 + 4i) + (2 - 3i) = 3 + 4i + 2 - 3i = 5 + i

distance between (5 + i) and (9 - 2i) is the difference between them. and difference means subtraction.

(9 - 2i) - (5 + i) = 9 - 2i - 5 - i = 4 - 3i

and since we are looking for a distance, we are looking for the absolute value of that subtraction.

after all, we could have done the subtraction also in the other direction

(5 + i) - (9 - 2i) = -4 + 3i

and this must be the same distance.

|(-4 + 3i)| = |(4 - 3i)|

and that is done by calculating the distance of any of these 2 points from (0,0) on the coordinate grid of complex numbers.

|(a +bi)| = sqrt(a² + b²)

in our case here

distance = sqrt(4² + (-3)²) = sqrt(16 + 9) = sqrt(25) = 5

as you can easily see, this is (as expected) the same for the result of the subtraction in the other direction :

sqrt((-4)² + 3²) = sqrt(16+9) = sqrt(25) = 5

Answer:

You need to ask yourself what times 20  gives you 600.  Then ask yourself what times 20 gives you 160.  Then that will give you your answer.

Step-by-step explanation:

Answer:

[tex]BC=9\sqrt{3}\approx15.59\text{ units}[/tex]

Step-by-step explanation:

Since Segment BOA is a diameter:

[tex]m\angle ACB=90[/tex]

Arc Ac and Arc CB are in a ratio of two to four. Since Segment BOA is a diameter, Arc ACB measures 180°. Letting the unknown value be x, we can write that:

[tex]2x+4x=180[/tex]

Hence:

[tex]x=30[/tex]

Thus, Arc CB = 120°. By the Inscribed Angle Theorem:

[tex]\displaystyle m\angle A=\frac{1}{2}\left(\stackrel{\frown}{CB}\right)=\frac{1}{2}\left(120)=60[/tex]

Therefore, ΔABC is a 30-60-90 triangle. Its sides are in the ratios shown in the image below.

Since AC is opposite from the 30° triangle, let AC = a.

We are given that AC = 9. Hence, a = 9.

BC is opposite from the 60° angle and it is given by a√3. Therefore:

[tex]BC=9\sqrt{3}\approx15.59\text{ units}[/tex]

Answer:

all real numbers greater than or equal to 0

Step-by-step explanation:

The domain of the function is whatever the input (in this case, x) can be. As you cannot take the square root of a negative number, x cannot be negative. Because you can take the square root of 0 (which is 0), x can be anything postive or 0, meaning anything greather than or equal to 0. The domain is all real numbers greater than or equal to 0.

Answer:

The covariance between the variables is 21.10 and the Correlation coefficient is 0.9285.

Step-by-step explanation:

Hence,

Answer:

3sqaure root 100/5

Step-by-step explanation:

It would look like this picture Below

Answer:

-12 can be written as the ratio of -24 and 2, for example.

Step-by-step explanation:

Ratio of a to b:

The ratio of a to b is given by the division of a by b, that is:

[tex]r = \frac{a}{b}[/tex]

−12 as a ratio of two integers.

Here, we want any division in which the result is -12. One example is:

[tex]-12 = \frac{-24}{2}[/tex]

-12 can be written as the ratio of -24 and 2, for example.

9514 1404 393

Answer:

  (a) f(c) = 12c -155

  (b) f⁻¹(145) = 25

Step-by-step explanation:

(a) Profit is the difference between revenue (12c) and cost (155). The profit function is ...

  f(c) = 12c -155

__

(b) The number of cars Linda's team must wash to achieve a profit of $145 is found from ...

  145 = 12c -155

  300 = 12c . . . . . . add 155

  25 = c . . . . . . . . . divide by 12

  f⁻¹(145) = 25 . . . . the team must wash 25 cars for a profit of $145

Answer:

x = 22 degree

Step-by-step explanation:

40 + 5x + 30 = 180 degree (being linear pair)

5x + 70 = 180

5x = 180 - 70

x = 110/5

x = 22 degree

Answer/Step-by-step explanation:

1.

✔️Coordinates of vertices ABC:

A(2, 2)

B(6, 2)

C(2, -1)

✔️AC = |2 - (-1)| = 3 units

AB = |2 - 6| = 4 units

2. Distance formula => [tex] d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]

Distance between B(6, 2) and C(2, -1):

[tex] BC = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]

Where,

[tex] B(6, 2) = (x_1, y_1) [/tex]

[tex] C(2, -1) = (x_2, y_2) [/tex]

[tex] BC = \sqrt{(2 - 6)^2 + (-1 - 2)^2} [/tex]

[tex] BC = \sqrt{(-4)^2 + (-3)^2} [/tex]

[tex] BC = \sqrt{16 + 9} = \sqrt{25} [/tex]

[tex] BC = 5 units [/tex]

Answer:

The person above me has the correct answer and solves it in the correct way.

Step-by-step explanation:

This is what I used as my answer though.

Distance Formula: d = √(x2-x1)^2 + (y2-y1)^2 

BC = √(x2-x1)^2 + (y2-y1)^2 

B = (6,2)

C = (2,-1)

BC = √(2-6)^2 + (-1-2)^2 

BC = √(-4)^2 + (-3)^2 

BC = √16+9

BC = √25

BC = 5

Answer:

no se guey..... pero gudluc

Answer:

6x^3+x^2+3x-6

Step-by-step explanation:

f(x) = 4x² + 3x - 2

g(x) = 6x³ - 3x²-4

(f +g) (x)​ =4x² + 3x - 2+6x³ - 3x²-4

Combine like terms

             =6x^3+4x^2-3x^2+3x-2-4

             =6x^3+x^2+3x-6

Answer:

g(2) = -42

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Algebra II

Step-by-step explanation:

Step 1: Define

Identify

[tex]\displaystyle \left \{ {{g(1) = 50} \atop {g(n) = 8 - g(n - 1)}} \right.[/tex]

Step 2: Evaluate

Answer:

Option C

Step-by-step explanation:

n = 81  

s2 = 625  

H0: σ2 = 500  

Ha: σ2 ≠ 500  

Test Statistics X^2 = (n-1)s^2/ σ2 = (81-1)*625/500

X^2 = 100

P value = 0.0646 for degree of freedom = 81-1 = 80

And X^2 = 100

At 95% confidence interval  

Alpha = 0.05 , p value = 0.0646  

p < alpha, we will reject the null hypothesis

At 95% confidence, the null hypothesis

Answer:

5

Step-by-step explanation:

21-16=5

hope it helps!!

is this an Olympiad qn?

Given:

A line passes through the points (-3,7) and (9,-5).

To find:

The equation of the line in the form of [tex]y=mx+b[/tex].

Solution:

If a line passes through two points, then the equation of the line is:

[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]

A line passes through the points (-3,7) and (9,-5). So, the equation of the given line is:

[tex]y-7=\dfrac{-5-7}{9-(-3)}(x-(-3))[/tex]

[tex]y-7=\dfrac{-5-7}{9+3}(x+3)[/tex]

[tex]y-7=\dfrac{-12}{12}(x+3)[/tex]

[tex]y-7=-1(x+3)[/tex]

On further simplification, we get

[tex]y-7=-x-3[/tex]

[tex]y-7+7=-x-3+7[/tex]

[tex]y=-x+4[/tex]

Therefore, the equation of the required line is [tex]y=-x+4[/tex].

Answer:

Time for a round trip = 12.5 hours

Step-by-step explanation:

Mother's house = 250 miles

Total distance for the round trip = 250 + 250 = 500 miles

Given speed = 40 mph

Find time .

[tex]Speed = \frac{distance }{Time }\\\\Time = \frac{distance }{speed } = \frac{500}{40} \\\\Time = 12.5 \ hours[/tex]

Answer:

Only A and B.

Step-by-step explanation:

Corresponding angles are angles in the same position and are the same size. The others are wrong as they are not the same sizes or are not the same

9514 1404 393

Answer:

  D.  600

Step-by-step explanation:

On a number line, positive numbers increase to the right. 600 to the right would be considered to be +600, choice D.

Answer:b

Step-by-step explanation:

Answer:

Step-by-step explanation:

In the simplest way, the domain of a function is basically all of the possible values of the input variable or x-axis in a graph. While the range of a function would be all of the real possible outputs that the function can create. In a graph this would be all of the possible values for the y-axis. For example, in the following function...

y = 4x + 3

The domain of this function would be any and all values for x, while the range of the function would be any and all values that the function can output for y.

Answer:

Letter B

Step-by-step explanation:

I used a graphing calculator,

Hope this helps

Answer:

[tex]{ \bf{3 \frac{1}{5} \div \frac{8}{20} }} \\ = \frac{16}{5} \div \frac{8}{20} \\ { \boxed{ \tt{reciprocal \: of \: \frac{8}{20} = \frac{20}{8} }}} \\ \therefore \: = \frac{16}{5} \times \frac{20}{8} \\ = \frac{320}{40} \\ { \bf{ answer : 8}} \\ \\ {\underline{\tt {\blue{becker \: jnr}}}}

[/tex]