Hi 6 questions ! They are practice so shouldn’t be to hard!
Please fine the slope through the given points

By knowing that water outflow is stable and the known geometry, the draining time of the rectangular tank is equal to a time of a minute and 36 seconds.

In this question we must determine the draining time of a tank whose dimensions are known and whose water outflow is stable. The draining time is equal to the volume of the rectangular tank divided by outflow rate:

V = (1.2 m) · (0.8 m) · (0.5 m)/(0.3 m³/min)

V = 1.6 min

By knowing that water outflow is stable and the known geometry, the draining time of the rectangular tank is equal to a time of a minute and 36 seconds.

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Answer:

9

Step-by-step explanation:

0

Answer:

Question 1: A. Replace one equation with a multiple of the other equation

Question 2: B. No

Step-by-step explanation:

1) How can we get System B from System A?

Choose 1 answer:

A. Replace one equation with a multiple of the other equation

B. Replace one equation with a multiple of itself

C. Swap the left-hand sides of both equations

D. Swap the order of the equations

2) Based on the previous answer, are the systems equivalent? In other words, do they have the same solution?

Choose 1 answer:

A. Yes

B. No

The answer to both questions is in bold and in the "Answer" section.

Hope this helps!

If not, I am sorry.

Range for the given Exponential function [tex]f(x) = 3(16)^{{\frac{3}{4}x}[/tex] is f(x) > 0.

the correction option is a). f(x) > 0

The function given in, the question is exponential function is given by
[tex]f(x) = 3(16)^{{\frac{3}{4}x}[/tex]  Which is an exponential function. The domain of the  give function is (-∞, ∞).

The function which is in format f(x) =  [tex]a^{x}[/tex] where, a is constant and x is variable,  the domain of this exponential function  lies   (-∞, ∞).  

the Question seems to be incomplete. And options could be
a) f(x) > 0              c) f(x) ≤ 0
b) f(x) < 0              d) f(x) ≥ 0

Simplification of the given equation
[tex]f(x) = 3(16)^{{\frac{3}{4}x}[/tex]      
[tex]f(x) = 3(2^4)^{{\frac{3}{4}x}[/tex]
[tex]f(x) = 3(8)^{x}[/tex]

clearly, the range of the exponential function is f(x) > 0.

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The graph of (2x - 1) / (x + 2) have intercepts at (0.5, 0) and (0, -0.5), The graph of (1 - 4x) / (1 - x) have intercepts at (0, 1) and (0.25, 0) and The graph of (-3x - 4) / (x + 2) have intercepts at (-1.33, 0) and (0, -2).

An equation is an expression that shows the relationship between two or more numbers and variables.

Plotting the graph using geogebra online graphing tool.

The graph of (2x - 1) / (x + 2) have intercepts at (0.5, 0) and (0, -0.5), The graph of (1 - 4x) / (1 - x) have intercepts at (0, 1) and (0.25, 0) and The graph of (-3x - 4) / (x + 2) have intercepts at (-1.33, 0) and (0, -2).

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Answer:

Step-by-step explanation:

Answer:

7*36=21*x

252=21x

x=12

Hope it helps!

Answer:

12

Step-by-step explanation:

Let x be the unknown number.

Method 1

[tex]\implies \sf 7 \times 36 = 21 \times x[/tex]

[tex]\implies \sf 252 = 21x[/tex]

[tex]\implies \sf \dfrac{252}{21} = \dfrac{21x}{21}[/tex]

[tex]\implies \sf 12=x[/tex]

[tex]\implies \sf x=12[/tex]

Method 2 (using mental arithmetic)

[tex]\implies \sf 7 \times 36 = 21 \times x[/tex]

As 7 and 21 are both multiples of 7, divide both sides by 7:

[tex]\implies \sf 36=3x[/tex]

Divide both sides by 3:

[tex]\implies \sf 12=x[/tex]

[tex]\implies \sf x=12[/tex]

Answer:

4 is the answer

Step-by-step explanation:

you can - or + the equation only then when the letter is same z and z both are same so you can - them and get the answer.

Answer:

Original price=$12

Step-by-step explanation:

First set that up as an equation

9/a=75/100

Now cross multiply

75a=900

Then divide 75 from both sides for original price

75a/75=900/75

a=12

There's your answer

Hope this helped :)

The rational exponent form of the given expression is b³. The correct option is the second option b³

From the question, we are to determine the rational exponent form of the given expression

The given expression is

[tex]\sqrt{b^{6} }[/tex]

From one of the laws of indices, we have that

[tex]\sqrt[n]{x^{m} } = x^{\frac{m}{n} }[/tex]

Thus,

[tex]\sqrt{b^{6} } = b^{\frac{6}{2} }[/tex]

= [tex]b^{3}[/tex]

∴√b⁶ = b³

Hence, the rational exponent form of the given expression is b³. The correct option is the second option b³

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The first and foremost rule for determining if 2 triangles are similar is checking if their angles are the same. Obviously, in this example, the angles are completely different, so the triangles are not similar.

Have a nice day!

And good luck on the assignment!

Answer:

y = -x +2

Step-by-step explanation:

Equation of a line in slope-intercept form :

   y = mx + b    where m = slope and 'b' is the y-axis intercept

y = -x-2    is in this form.....  slope m = -1      b = -2

   the parallel line will have the same slope = -1 and will look like

        y = -x + b

       to calculate the value of 'b' for this line, substitute in the point given:

             -2 = - (4) + b      shows b = 2

  so your line becomes   y = -x + 2

Answer:

  y =-x + 2

Step-by-step explanation:

    Parallel lines have same slope.

     y = -x - 2

Compare with the equation of the line in slope y-intercept form: y =mx + b

Slope = m = -1

So, equation of line: y = -x + b

Point(4 ,-2) is going through this line. so, substitute x = 4 & y = -2 in the above equation.

            -2 = -4 + b

          -2 + 4 = b

              [tex]\sf \boxed{b = 2}[/tex]

Equation of the required line:

            [tex]\sf \boxed{\bf y = -x + 2}[/tex]

The number that corresponds to the null hypothesis and the alternative hypothesis will be 3 and 6 respectively.

Specify the correct number from the list below that corresponds to the appropriate null and alternative hypotheses for this problem.

It should be noted that the null hypothesis suggests that there's no statistical relationship between the variables.

The alternative hypothesis is different from the null hypothesis as it's the statement that the researcher is testing.

In this case, the number that corresponds to the null hypothesis and the alternative hypothesis will be 3 and 6 respectively.

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Answer:

5 feet

The graphs intersect at x = 5.

Answer:

6.6

Step-by-step explanation:

the "mean" of a data set is what we commonly refer to as the average. We find this estimate of values by adding up all of the values of the data set, and then dividing by the number of values we added together.

{for example: the mean [average] of 1, 5, 6:

1 + 5 + 6 = 12

12 ÷ 3 [we have 3 numbers] = 4}

our values:

6.1 ; 5.9 ; 4.2 ; 5.9 ; 10.7

> 6.1 + 5.9 + 4.2 + 5.9 + 10.7 = 32.8

[we have 5 numbers]

32.8 / 5 =  6.56

when rounding a number, we look to the digit one place to the right. If it is greater than or equal to 5, we "round up" our digit [we move it up to the next digit]

if it is less than 5, we keep our digit the same

(the tenths place =  _  . _ _ _  ones. tenths)

so if we round 6.56 to the nearest tenth:

6.56

[6 > 5]

6.6

So, the mean of this data set rounded to the nearest tenth is 6.6

hope this helps!!

Answer:

f(x) must be shifted 6 units down in order to produce the graph of g(x).

Answer:

70 cm2??

Step-by-step explanation:

The area of the rectangle: 50 cm2

The area of the triangle: About 20 cm2

50 cm2 + 20 cm2 +

By trigonometric functions and law of cosines, the value of x associated with a missing angle in the geometric system is between 7.701 and 7.856.

In this question we have a geometric system that includes a right triangle, whose missing angle is determined by the following trigonometric function:

sin (7 · x + 4) = 12/14

7 · x + 4 = sin⁻¹ (12/14)

7 · x + 4 ≈ 58.997°

7 · x = 54.997°

x ≈ 7.856

In addition, the geometric system also includes a obtuse-angle triangle and that angle can be also found by the law of the cosine:

7² = 8² + 6² - 2 · (8) · (6) · cos (7 · x + 4)

17/32 = cos (7 · x + 4)

7 · x + 4 = cos⁻¹ (17/32)

7 · x + 4 ≈ 57.910°

7 · x ≈ 53.910°

x ≈ 7.701

Hence, we conclude that the value of x associated with a missing angle in the geometric system is between 7.701 and 7.856.

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To graph this situation we must take into account the data and the organization of each of them on the X axis and Y axis.

To graph this situation we must take into account the data we have:

Based on these data, we assign the horizontal axis to count years and the vertical axis to count tickets per year. We must continue the pattern of increased attendance over the years.

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Answer:

30 miles is the actual distance.

Step-by-step explanation:

3 3/4 = 15/4

15*2=30

Answer:

see explanation

Step-by-step explanation:

(9m + 4)² - (9m - 4)² ← expand both factors using FOIL

= 81m² + 72m + 16 - (81m² - 72m + 16) ← distribute parenthesis by - 1

= 81m² + 72m + 16 - 81m² + 72m - 16 ← collect like terms

= 144m

= 72(2m)

which is divisible by 72 for all m

Answer: A=9x^4

Step-by-step explanation:

Hii, do you need to find the area of a square with a side length of 3x^2? Let me help you out! (:

To find the area of a square, you need to square its side length.

Sounds strange, right?

The formula is shown below.

[tex]\LARGE\boldsymbol{A=a^2}[/tex]

Here "A' (capital A) denotes the area

"a" (lower-case a) denotes the side length

The 2 above the a tells us that we need to multiply the side length times itself.

Alright, now it's just a matter of sticking in the known values...

[tex]\sf A=(3x^2)^2[/tex]

Simplify

[tex]\sf A=9x^4[/tex]

Voila! There's our answer, cheers! (;

Hope I helped! Best wishes! (:

Reach far. Aim high. Dream big.

[tex]\underbrace[/tex]

If organisation supports 125 villages financially and it is 11% of world wide then the total villages in world wide that needs help is 1136.36 villages.

Given An organization supports 125 villages financially. This figure is only 11% as compared to the organization's worldwide support.

If 125 villages are 11% of worldwide villages who need help financially then we have to find 100% value according to organisation figure which can be calculated as under:

if 125 is 11% then 1% will be 125/11

then 100% will be 125/11*100

=12500/11

=1136.36

=1136 Approx

Hence 1136 villages are totally present worldwide which need help financially.

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Answer:

f(x) = -2x+1

Step-by-step explanation:

See attached image

The equation of line will be;

⇒ f (x) = - 1/2x + x

What is Equation of line?

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

Two points on the line are (- 4, 3) and (4, -1).

Now,

Since, The equation of line passes through the points (- 4, 3) and (4, -1).

So, We need to find the slope of the line.

Hence, Slope of the line is,

m = (y₂ - y₁) / (x₂ - x₁)

m = (- 1 - (3)) / (4 + 4)

m = - 4 / 8

m = - 1/2

Thus, The equation of line with slope - 1/2 is,

⇒ y - (3) = - 1/2 (x + 4)

⇒ y - 3 = - 1/2x - 2

⇒ y = - 1/2x + x

Therefore, The equation of line will be;

⇒ f (x) = - 1/2x + x

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Both the Red and Yellow lines are lines of symmetry, Option D is correct.

A coordinate system is a system that uses one or more numbers, or coordinates, to uniquely determine the position of the points or other geometric elements on a manifold such as Euclidean space.

Lines of symmetry in a figure are lines that divide the figure into equal parts.

The given figure is a square as we observe the four sides are equal in the given shape.

In a square, there are four lines of symmetry, each of which divides it into two identical parts.

The symmetry lines of a square are both its diagonals and the lines joining the midpoints of its opposite sides (bisectors).

In the given Figure, the Red lines cuts the shape into 2 equal halves vertically and the Yellow line cuts the shape into 2 equal halves diagonally.

Hence, both the Red and Yellow lines are lines of symmetry, Option D is correct.

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Answer:

Online customers buy an average of 4 packs compared with walk-in customers, who buy an average of 2 packs.

Step-by-step explanation:

Create the dot plots (see attached diagrams)

Online customers: blue dots

Walk-in customers: red dots

To calculate the average packs both groups of customers buy, sum all data values and divide by the total number of data values.

[tex]\textsf{Average of Online customers}=\dfrac{ 1 \times 3+ 4 \times 4+ 5\times 5}{10}=4.4[/tex]

[tex]\textsf{Average of Walk-in customers}=\dfrac{ 3 \times 1+ 6\times 2+ 1\times 3}{10}=1.8[/tex]

Online:  4.4 rounds down to 4

Walk-in:  1.8 rounds up to 2

Therefore, online customers buy an average of 4 packs compared with walk-in customers, who buy an average of 2 packs.

Find average of both customers

Online :-

Offline

option C

Answer:

search it up ok that's all you can do

Answer:

Graph will shift 2 units to the left