If there is an error in solving the equation below, then explain the error and in what step the error is in the equation. If no error, then just type “no error”

Answer:

The speed of the boat is 24 kilometers per hour, and the speed of the stream is 2 kilometers per hour.

Step-by-step explanation:

Given that a riverboat travels 52 km downstream in 2 hours, and it travels 66 km upstream in 3 hours, the following calculations must be performed to find the speed of the boat and the speed of the stream:

Downstream = 52/2 = 26

Upstream = 66/3 = 22

Stream = 4/2 = 2

Therefore, the speed of the boat is 24 kilometers per hour, and the speed of the stream is 2 kilometers per hour.

Answer:

[tex]{ \tt{g(x) = a {x}^{2} + bx + c = 0 }} \\ { \tt{f(x) = {a'x}^{2} + b 'x + c' = 0}} \\ { \boxed{ \bf{f(g(x)) = g(f(x))}}} : \\ { \tt{ =( \frac{a}{a'})x {}^{2} + ( \frac{b}{b'}) x} + \frac{c}{c'} } = 0[/tex]

Answer:

2

Step-by-step explanation:

mean = sum of data / no of data

=2+2+2+2+2/5

=10/5

=2

Answer:

$42.50

Step-by-step explanation:

All you have to do is simply multiply

170 x 0.25=$42.50

Answer:

- [tex]\frac{26}{15}[/tex]

Step-by-step explanation:

[tex]\frac{1}{5}[/tex] = -  [tex]\frac{1}{2}[/tex]w - [tex]\frac{2}{3}[/tex]

multiply equation by a common denominator. Let's use 30.  

you get :

6 = -15w - 20

26 = -15w

w = -  [tex]\frac{26}{15}[/tex]

Answer:

B. 9

Step-by-step explanation:

We are given that y varies inversely with x. Recall that inverse variation has the form:

[tex]\displaystyle y=\frac{k}{x}[/tex]

Where k is the constant of variation.

We are given that y = 18 when x = 12. Hence:

[tex]\displaystyle (18)=\frac{k}{(12)}[/tex]

Solve for k. Multiply both sides by 12:

[tex]k=12(18)=216[/tex]

Thus, our equation is:

[tex]\displaystyle y=\frac{216}{x}[/tex]

We want to find x when y = 24. Substitute:

[tex]\displaystyle \frac{24}{1}=\frac{216}{x}[/tex]

Cross-multiply:

[tex]24x=216[/tex]

Divide both sides by 24. Hence:

[tex]x=9[/tex]

Our answer is B.

Answer:

B

Step-by-step explanation:

Given that y varies inversely with x then the equation relating them is

y = [tex]\frac{k}{x}[/tex] ← k is the constant of variation

To find k use the condition y = 18 when x = 12 , then

18 = [tex]\frac{k}{12}[/tex] ( multiply both sides by 12 )

216 = k

y = [tex]\frac{216}{x}[/tex] ← equation of variation

When y = 24 , then

24 = [tex]\frac{216}{x}[/tex] ( multiply both sides by x )

24x = 216 ( divide both sides by 24 )

x = 9

9514 1404 393

Answer:

Step-by-step explanation:

The third angle can be found from the sum of angles in a triangle.

  A + B + C = 180°

  C = 180° -62° -97°

  C = 21°

__

The remaining side lengths can be found using the Law of Sines.

  a/sin(A) = b/sin(B)

  a = sin(62°)(15/sin(97°)) ≈ 13.34

Similarly, ...

  c/sin(C) = b/sin(B)

  c = sin(21°)(15/sin(97°)) ≈ 5.42

The remaining side lengths are approximately ...

  a ≈ 13.3

  c ≈ 5.4

Answer:

-4 ≤ x ≤ -2, 4 ≤ x ≤ 7

Step-by-step explanation:

A function shows the relationship between two or more variables. A function is said to be constant over an interval if its output value is same for every input value within that interval.

As seen in the question, the x variable is the input while the y variable is the output. The function is constant from x = -4 to x = -2. Also, the function is constant within the interval from x = 4 to x = 7. Hence, the interval is:

-4 ≤ x ≤ -2, 4 ≤ x ≤ 7

Answer:

.

Step-by-step explanation:

Answer:

23/6

Step-by-step explanation:

Given fractions

4 3/5 to 1 1/5

Write 4 3/5 as improper fraction= 23/5

Write 1 1/5 as improper fraction= 6/5

Then find the ratio

23/5 : 6/5

Ratio is finding division of two terms

(23/5) / (6/5)

= 23/5 × 5/6

5 at the denominator cancel out 5 at numerator then we have

= 23/6

Hence, fraction in lowest terms here is

23/6

Answer:

Extrapolation

Step-by-step explanation:

From the linear regression plot created in the picture given, se could see that Tha percentage of student covered by the the plot is just above 16%. Therefore, to predict the percentage of the number of juvenile violent crime arrests would be in a state if 25% of children are not in school or in the labor force will require us to assume that the current trend continues into the future. Hence, we use the information and indications we have at present to make prediction into the future based on the assumption that we the current trend will remain relevant and applicable. This assumption into the future based on current trend is called EXTRAPOLATION.

Answer:

Slope: Undefined

Step-by-step explanation:

Since  x=1

is a vertical line, there is no y-intercept and the slope is undefined.  

y-intercept: No y-intercept

Answer:

7,620,650

Step-by-step explanation:

___________

Answer:

7,620,650

Step-by-step explanation:

To write in standard form, you just write the entire number out.

Answer:

[tex]8 \ feet[/tex]

Step-by-step explanation:

In this situation, one is given the following information. A ladder is leaning against a wall and has a measure of (17) feet. The bottom of the ladder is (15) feet away from the wall. One can infer that the wall forms a right angle with the ground. Thus, the triangle formed between the ground, ladder, and wall is a right triangle. Therefore, one can use the Pythagorean theorem. The Pythagorean theorem states the following,

[tex]a^2+b^2=c^2[/tex]

Where (a) and (b) are the legs or the sides adjacent to the right angle of the right triangle. The parameter (c) represents the hypotenuse or the side opposite the right angle. In this case, the legs are the ground and wall, and the hypotenuse is the ladder. Substitute this into the formula a solve for the height of the wall.

[tex]a^2+b^2=c^2[/tex]

Substitute,

[tex](ground)^2+(wall)^2=(ladder)^2\\\\(15)^2+(wall)^2=(17)^2\\[/tex]

Simplify,

[tex](15)^2+(wall)^2=(17)^2\\\\225+(wall)^2=289[/tex]

Inverse operations,

[tex]225+(wall)^2=289\\\\(wall)^2=64\\\\wall=8[/tex]

Answer:

[tex]x = 28[/tex] ----- Banana

[tex]y = 54[/tex] ----- Almonds

[tex]z = 18[/tex] ---- Chocolate

Step-by-step explanation:

Let

[tex]x \to[/tex] banana

[tex]y \to[/tex] almonds

[tex]z \to[/tex] chocolate

So, we have:

[tex]x + y + z = 100[/tex] --- total used

[tex]4x + 8y + 6z = 652[/tex] -- i.e. 6.52 * 100 --- total sales from 100 pounds

[tex]y = 3z[/tex]

Required

The number of pounds of each (i.e. x, y and z)

Substitute [tex]y = 3z[/tex] in [tex]x + y + z = 100[/tex]

[tex]x + 3z + z = 100[/tex]

[tex]x + 4z = 100[/tex]

Make x the subject

[tex]x = 100 - 4z[/tex]

Substitute [tex]y = 3z[/tex] in [tex]4x + 8y + 6z = 652[/tex]

[tex]4x + 8 * 3z + 6z = 652[/tex]

[tex]4x + 24z + 6z = 652[/tex]

[tex]4x + 30z = 652[/tex]

Substitute [tex]x = 100 - 4z[/tex]

[tex]4(100 - 4z) + 30z = 652[/tex]

[tex]400 - 16z + 30z = 652[/tex]

Collect like terms

[tex]- 16z + 30z = 652-400[/tex]

[tex]14z = 252[/tex]

Divide by 14

[tex]z = 18[/tex]

Substitute [tex]z = 18[/tex] in [tex]x = 100 - 4z[/tex]

[tex]x = 100 - 4 * 18[/tex]

[tex]x = 100 - 72[/tex]

[tex]x = 28[/tex]

To calculate y, we have:

[tex]y = 3z[/tex]

[tex]y = 3 * 18[/tex]

[tex]y = 54[/tex]

gjgb go ftc in the class is not a short time to be be free and ear is not a short time to

Answer:

WHAT IS THE FACTOR?

Step-by-step explanation:

Answer:

shall I have to answer for x pls tell

Answer:

D, B, C, A

Step-by-step explanation:

Answer:

I think it is 160 x2 so you would probably divide 160 by x2 which would 144

Step-by-step explanation:

9514 1404 393

Answer:

  x = -1, 1, 9

Step-by-step explanation:

You want x such that f(x) = g(x). Subtracting g(x) from both sides of this equation lets us rewrite it as ...

  f(x) -g(x) = 0

  x³ -9x² -(x -9) = 0

  x²(x -9) -1(x -9) = 0 . . . factor the first pair of terms

  (x² -1)(x -9) = 0 . . . . . . use the distributive property

  (x -1)(x +1)(x -9) = 0 . . . . factor the difference of squares

Values of x that make these factors zero will make f(x) = g(x):

  x = -1, 1, 9 for f(x) = g(x)

Answer:

see graph...

B On a coordinate plane, a line goes through (0, 0) and (1, negative 4).

Step-by-step explanation:

Answer:

Step-by-step explanation:

To determine the graph that represents the linear equation 4x + y = 0, we need to rearrange the equation in slope-intercept form (y = mx + b), where m represents the slope and b represents the y-intercept.

Starting with the given equation:

4x + y = 0

Subtracting 4x from both sides:

y = -4x

Now we have the equation in the form y = mx + b, where m = -4 (the coefficient of x) and b = 0.

Looking at the given graphs:

Graph A: The line goes through (0, 0) and (1, 4). This graph does not represent the equation y = -4x, as the slope is 4, not -4.

Graph B: The line goes through (0, 0) and (1, -4). This graph does represent the equation y = -4x, as it has a slope of -4 and passes through the origin.

Graph C: The line goes through (0, 0) and (4, -1). This graph does not represent the equation y = -4x, as it does not have the correct slope.

Graph D: The line goes through (0, 0) and (4, 1). This graph does not represent the equation y = -4x, as it does not have the correct slope.

Therefore, the best graph that represents the linear equation 4x + y = 0 is:

b. Graph B

(B)

Step-by-step explanation:

The graph has zeros at x = -5 and x = 3 and passes through (4, 9). We can write the equation for the graph as

[tex]y = (x + 5)(x - 3) + c[/tex]

Since the graph passes through (4, 9), we can solve for c, which gives us c = 0. Therefore, the equation for the graph is

[tex]y = (x + 5)(x - 3) = x^2 + 2x - 15[/tex]

Answer:

Step-by-step explanation:

The answer is B) y= x^2+2x-15

Part B is not clear and the clear one is;

P(X ≥ 6)

Answer:

A) 0.238

B) 0.478

C) 0.114

Step-by-step explanation:

To solve this, we will make use of binomial probability formula;

P(X = x) = nCx × p^(x)•(1 - p) ^(n - x)

A) 54% of U.S. adults have very little confidence in newspapers. Thus;

p = 0.54

10 random adults are selected. Thus;

P(X = 5) = 10C5 × 0.54^(5) × (1 - 0.54)^(10 - 5)

P(X = 5) = 0.238

B) P(X ≥ 6) = P(6) + P(7) + P(8) + P(9) + P(10)

From online binomial probability calculator, we have;

P(X ≥ 6) = 0.2331 + 0.1564 + 0.0688 + 0.01796 + 0.0021 = 0.47836 ≈ 0.478

C) P(x<4) = P(3) + P(2) + P(1) + P(0)

Again with online binomial probability calculations, we have;

P(x<4) = 0.1141 ≈ 0.114

The power consumed in the lamp marked 100W - 110V is 15.68W

The power consumed in the lamp marked 100W - 220V is 62.73W

Given:

First lamp rating

Power (P) = 100W

Voltage (V) = 110V

Second lamp rating

Power (P) = 100W

Voltage (V) = 220V

Source

Voltage = 220V

i. Get the resistance of each lamp.

Remember that power (P) of each of the lamps is given by the quotient of the square of their voltage ratings (V) and their resistances (R). i.e

P = [tex]\frac{V^2}{R}[/tex]

Make R subject of the formula

⇒ R = [tex]\frac{V^2}{P}[/tex]             ------------------(i)

For first lamp, let the resistance be R₁. Now substitute R = R₁, V = 110V and P = 100W into equation (i)

R₁ = [tex]\frac{110^2}{100}[/tex]

R₁ = 121Ω

For second lamp, let the resistance be R₂. Now substitute R = R₂, V = 220V and P = 100W into equation (i)

R₂ = [tex]\frac{220^2}{100}[/tex]

R₂ = 484Ω

ii. Get the equivalent resistance of the resistances of the lamps.

Since the lamps are connected in series, their equivalent resistance (R) is the sum of their individual resistances. i.e

R = R₁ + R₂

R  = 121 + 484

R = 605Ω

iii. Get the current flowing through each of the lamps.

Since the lamps are connected in series, then the same current flows through them. This current (I) is produced by the source voltage (V = 220V) of the line and their equivalent resistance (R = 605Ω). i.e

V = IR [From Ohm's law]

I = [tex]\frac{V}{R}[/tex]

I = [tex]\frac{220}{605}[/tex]

I = 0.36A

iv. Get the power consumed by each lamp.

From Ohm's law, the power consumed is given by;

P = I²R

Where;

I = current flowing through the lamp

R = resistance of the lamp.

For the first lamp, power consumed is given by;

P = I²R           [Where I = 0.36 and R = 121Ω]

P = (0.36)² x 121

P = 15.68W

For the second lamp, power consumed is given by;

P = I²R           [Where I = 0.36 and R = 484Ω]

P = (0.36)² x 484

P = 62.73W

Therefore;

The power consumed in the lamp marked 100W - 110V is 15.68W

The power consumed in the lamp marked 100W - 220V is 62.73W

This is one single number. The number is slightly larger than 163 thousand.

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

Explanation:

Consider four slots labeled A,B,C,D

We have....

There's a countdown going on (46,45,44,43) when filling up the slots. This countdown is because we cannot reselect any specific person for multiple slots at the same time.

If order mattered, then we'd have 46*45*44*43 = 3,916,440 permutations possible.

However, order doesn't matter. For any group of 4 people, there are 4! = 4*3*2*1 = 24 ways to arrange them. So we must divide the previous result over 24 to get (3,916,440)/24 = 163,185

This means there are 163,185 different combinations and this is the number of possible samples of size 4 from a population of 46 people. The order of any sample doesn't matter.

Answer:

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60

Step-by-step explanation:

1x120, 2x60, 3x40, 4x30, 5x24, 6x20, 8x15, 10x12, 12x10,15x8, 20x6, 24x5, 30x4, 40x3, 60x2

Step-by-step explanation:

3x-2x=5+10 [taking variables on one side and constant on other]

x=15

soln:

3x-5= 2x+10

3x -5+5=2x+10+5 [ adding 5 on both side]

3x=2x+15

3x-2x=2x+15-2x [subtracting 2x on both side]

x=15

Ans=15

Answer:

[tex]x = 15[/tex]

Step-by-step explanation:

[tex]3x - 5 = 10 + 2x[/tex]

[tex]3x - 2x = 10 + 5[/tex]

[tex]1x = 15[/tex]

[tex]x = 15[/tex]

Answer:

The right answer is "[tex]x\simeq 254[/tex]".

Step-by-step explanation:

Let the number of earlier case will be "x".

Now,

⇒ [tex]x+x\times \frac{26.3}{100}=321[/tex]

or,

⇒ [tex]x+x\times 0.263=321[/tex]

By taking "x" common, we get

⇒   [tex]x(1+0.263)=321[/tex]

⇒                    [tex]x=\frac{321}{1.263}[/tex]

⇒                       [tex]=254.15[/tex]

or,

⇒                    [tex]x\simeq 254[/tex]