Do,k = (9,6) --> (3,2)
The scale factor is?
1/3
3
6

Answer:

The air is .6m^3

Step-by-step explanation:

The volume of a cube is

V = s^3 where s is the side length

The volume of the tank is

V = 1^3 = 1 m^3

The volume of the water is 1 by 1 by .4

V = l*w*h

   = 1 *1*.4

   = .4 m^3

The difference must be filled by air

1- .4 = .6 m^3

The air is .6m^3

Answer:

0.4 m³

Step-by-step explanation:

Volume of air:

Base area × height

1 × 1 × 0.4

0.4 m³

Answer:

A. log Subscript 4 Baseline (3 x + 4) = 2

Step-by-step explanation:

I graphed it.

The equation [tex]\log_4(3x + 4) = 2[/tex] has a solution of x = 4

An equation is an algebraic expression that is represented by the equality "=" sign

For an equation to have a solution of x = 4, the equation must be true at x = 4

From the options, we have:

[tex]\log_4(3x + 4) = 2[/tex]

Substitute 4 for x

[tex]\log_4(3*4 + 4) = 2[/tex]

[tex]\log_4(16) = 2[/tex]

Express 16 as 4^2

[tex]\log_4(4^2) = 2[/tex]

Apply the law of logarithm

[tex]2\log_4(4) = 2[/tex]

Apply the law of logarithm

[tex]2*1 = 2[/tex]

[tex]2= 2[/tex]

The value of x = 4 is true for [tex]\log_4(3x + 4) = 2[/tex].

Hence, the equation [tex]\log_4(3x + 4) = 2[/tex] has a solution of x = 4

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Answer:

Number of person use more than 15 hours per week from 800 subscribers = 448

Step-by-step explanation:

Given:

Total number of sample = 50

Result = 28 Person use more than 15 hours per week

Find:

How many people use more than 15 hours per week

Computation:

⇒ Probability of Person use internet more than 15 hours per week = 28 / 50

⇒Probability of Person use internet more than 15 hours per week = 0.56

⇒Number of person use more than 15 hours per week from 800 subscribers = 800 × Probability of Person use internet more than 15 hours per week

⇒Number of person use more than 15 hours per week from 800 subscribers = 800 × 0.56

⇒ Number of person use more than 15 hours per week from 800 subscribers = 448

Answer:

448

Step-by-step explanation:

Since 28/50 customers use the internet more than 15 hours per week. 28/50 is our fraction. So we do 28/50x800 which gives you 448.

9514 1404 393

Answer:

Step-by-step explanation:

Let n represent the number of nickels Ryan has. Then the number of pennies is n-3, and his coins have a value (in cents) of ...

  5n +1(n -3) = 75

  6n = 78 . . . . . . . . . collect terms, add 3

  n = 13 . . . . . . . . . .  number of nickels Ryan has

  n-3 = 10 . . . . . . . .  number of pennies Ryan has

Ryan has 10 pennies and 13 nickels.

Ryan has 10 pennies and 13 nickels.

Algebra is the part of mathematics that helps represent problems or situations in the form of mathematical expressions.

Given:

Ryan has $0.75 worth of pennies and nickels.

Let x be the number of nickels Ryan has.

So, the number of pennies be x-3,

Then,

 5x +1(x -3) = 75

 6x = 78

  x = 13

 and, x-3 = 10

Hence, Ryan has 10 pennies and 13 nickels.

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The construction worker are making more than More than 75% of teachers.

A box plot is a graphical rendition of statistical data based on the minimum, first quartile, median, third quartile, and maximum.

Let us consider the construction workers  is 45000.

So 45,000 represent the third quarter which is 75% of the data.

So, the construction worker are making more than More than 75% of teachers.

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Answer:

1. Compound

2. Simple

3. Simple

4. Compound

Step-by-step explanation:

The way I differentiated these was based on the quantitivity of each scenario. I related it to compound and simple sentences. For example, when one act was committed, it was clearly singular & simple. But if there was two actions consecutively, I'd consider that compound.

Answer:

compound

Step-by-step explanation:

hope this helps

Answer:

Simply subtract the fail rate from 100; the resulting number is the pass rate. So, if you know that 6 percent of students failed, you would subtract: 100 - 6 = 94 percent is the pass rate for the test.

Step-by-step explanation:

Answer:

19:20

Step-by-step explanation:

500 test scores

25 failing

500 -25 = 475 = passing scores

passing:all scores

475: 500

Divide each side by 25

475/25:500/25

19:20

Answer:

Step-by-step explanation:

its 1

The given function f(x) = (1/4)ˣ, the initial value of the function when x is substituted in the function is , 1

Function is a relation between a set of inputs and a set of outputs which are permissible. In a function, for particular values of x we will get only a single image in y. It is denoted by f(x).

Vertical line test:-

Whenever we want to check whether a given expression is a function or not we can apply a vertical line test, in this test we check for a single image of x , we are getting a single image or more.

If we get more images then it will not be a function.

For example, let us take, y² = 4ax

y = ±√4ax

For single value of x we get two values of y

Hence, it will not be a function.

Given that,

Graph of function f(x) = (1/4)ˣ

when value of x is substituted in given function,

f(0) = (1/4)⁰

f(0) = 1

So, the initial value of the function is 1

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Answer:

A) AB is approximately straight line

B) 40 yards

C) 96 years

Step-by-step explanation:

A) For the toxic dump site to be traingular, AB must be a straight line to form hypotneuse of the traingle and that the traingle is right angle triangle

B) assuming a right angle triangle, using pythagoras theorem

H²=P²+B²

H²= 24²+ 32²

H= 40 yards

C) Parameter= 24+32+40=96 yards

Answer:

A. Side AB is approximately straight and forms the hypotenuse side of the right triangle

B. 40 yards

C. 96 yards

Step-by-step explanation:

A. The assumption about the curved side AB that David would need to make in order to justify his claim is that the side AB is straight and is the hypotenuse side of the right triangle.

B.  The length of AB is thus;

√(24² + 32²) = 40 yard

C. The approximate perimeter is therefore;

24 + 32 + 40 = 96 yards

Answer:

>

Step-by-step explanation:

The correct symbol for the unit conversion is given by 2000 lb = 1 T

In order to translate measurements of a particular amount between different units, a mathematical conversion factor is usually used. This modifies the measurement of the quantity without altering its effects.

The particular circumstances or the intended result control the conversion process. This may be governed by law, a contract, a list of technical specifications, or other publicly available standards.

A precise conversion from one system to another is necessary for some measures in order to maintain the precision of both the original measurement and the conversion.

Based on the connection between a particular pair of original units and a particular pair of target units, each conversion factor is chosen.

Given data ,

Let the symbol be represented as A

Now , the weight of the object is given by

Let the first weight be p = 2000 lb

Let the second weight be q = 1 Ton

And , from the unit conversion

2000 lb = 1 Ton

So , the value of q = p

Hence , the symbol is equal to and 2000 lb = 1 Ton

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To find the minimum score required for the scholarship, we need to find the z-score that corresponds to the top 9% of the normal distribution.

To find the minimum score required for the scholarship, we need to find the z-score that corresponds to the top 9% of the normal distribution.

Step 1: Convert the top 9% to a z-score using the standard normal distribution table.

Step 2: Use the z-score formula to find the corresponding ACT Reading score.

Step 3: Round the answer to the nearest tenth.

The minimum score required for the scholarship is the score that corresponds to the z-score found in Step 1.

To be in the top 9% for ACT Reading scores, a student needs a minimum score of approximately 29.3.

To determine the minimum ACT Reading score required for the top 9%, we need to find the z-score that corresponds to the 91st percentile in a standard normal distribution. According to z-tables, the z-score for the 91st percentile is approximately 1.34.

⇒ Z = (X - μ) ÷ σ

⇒ Mean (μ) = 21.4,

⇒ Standard Deviation (σ) = 5.9,

⇒ Z = 1.34

⇒ X = Z × σ + μ

⇒ 1.34 × 5.9 + 21.4 = 7.906 + 21.4

≈ 29.3

Therefore, to be in the top 9%, the minimum ACT Reading score required is approximately 29.3.

Answer:D

Step-by-step explanation:

1st --- 20

2nd -- 16

3rd -- 12.8

4th -- 10.24

5th -- 8.192

6th -- 6.5536

The first square with a side length of less than 8 inches is option (D) sixth square and it's side length is 6.5536 inches.

A word problem is a verbal description of a problem situation. It consists of few sentences describing a 'real-life' scenario where a problem needs to be solved by way of a mathematical calculation.

For the given situation,

Orlando is making a design for a logo.

The first square measures = 20 inches

The second square measures = [tex](20-4 ) = 16 inches[/tex]

The third square measures = [tex]( 16-(4)(0.8))=16-3.2[/tex]

⇒ [tex]12.8 inches[/tex]

The fourth square measures = [tex]12-(3.2)(0.8)=12-2.56[/tex]

⇒ [tex]10.28 inches[/tex]

The fifth square measures = [tex]10.28-(2.56)(0.8) =10.28-2.048[/tex]

⇒ [tex]8.192[/tex]

The sixth square measures = [tex]8.092-(2.048)(0.8)=8.092-1.6384[/tex]

⇒ [tex]6.5536[/tex]

Hence we can conclude that the first square with a side length of less than 8 inches is option (D) sixth square and it's side length is 6.5536 inches.

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Step-by-step explanation:

Simple

The percent of bus and car is 35

So 35% x 1500 = 525

Total bus and car students are 525

Step-by-step explanation:

A:24

B:40

C:150

Hope this helped if I was correct

Answer:

y = -2/3x - 2

Step-by-step explanation:

The slope of this line is -2/3 and the y-intercept is -2.

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Answer:

18 years

Step-by-step explanation:

Formula:   V(t) = P* (1 +  r/2)^(2t)

r = 4% = 0.04

P =$1,900

V(t) = $1,900 *(1 + 0.04/2)^ (2t)

V = 1900 *(1.02)^(2t)

$3,875.79  =  1900 * 1.02^2t

3875.79/1900 =  1.02^ (2t)

2.0398894736842  = 1.02 ^(2t)

ln 2.0398894736842 =  ln (1.02^(2t) )

ln 2.0398894736842 =  2*t*ln (1.02)

ln 2.0398894736842  /(2* ln (1.02)) =  t

0.71289562682179 / (2 * 0.0198   )  = t

18.00002 years  = t

Answer:

45 degrees

Step-by-step explanation:

∠1 and ∠4 are on a straight line. Therefore, they are supplementary and add to 180 degrees.

∠1+∠4=180

We know that the m∠1 is 135 degrees. We can substitute 135 in for ∠1.

135+∠4=180

Now we have to solve for ∠4. To do this, we need to get ∠4 by itself. 135 is being added on to ∠4. To undo this, subtract 135 from both sides, because subtraction is the opposite of addition.

135-135+∠4=180-135

∠4=180-135

∠4=45

The measure of ∠4 is 45 degrees.

Answer:

12 inches

Step-by-step explanation:

Because surface area is like a box,it would be the top.

Answer:

A ≈ 374.81  

Step-by-step explanation:

SA = bh + (s1 + s2 + s3)H is the formula for SA of a triangular prism. if you plug in all of the digets thats what you get.

Answer:

28.26

Step-by-step explanation:

The total number of students in the 6th grade is 300.

A percentage is a number or ratio expressed as a fraction of 100. If we have to calculate percent of a number, divide the number by the whole and multiply by 100.

For the given situation,

25% of the 6th-grade class students is 75

Let x be the total number of students, say 100%.

⇒ [tex]25\%=\frac{1}{4}[/tex]

Here, 1 part is 25% then 4 parts are 100%

Thus 1 part = 75, then

⇒ [tex]4 parts = 4(75)[/tex]

⇒ [tex]4 parts = 300[/tex]

Hence we can conclude that the total number of students in the 6th grade is 300.

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Answer:

Yes there is a loss of area

The loss is 5,858 ft²

Step-by-step explanation:

Kindly find attached rough sketch of the problem for your reference.

This problem bothers on the mensuration of flat shapes, rectangle and parallelogram

Firstly let us calculate initial area of the map, the rectangle

Area = length x width

Area = 200*100

Area = 20,000ft²

Now let us calculate the area of the new zoning map, parallelogram

Area = Base x height

But from the sketch we can solve for the height Applying

SOH CAH TOA

Using SOH

Sinθ= opposite/hypotenuse

Sin θ= h/100

h= sinθ*100

h= sin(45)*100

h= 0.7071*100

h= 70.71ft

We can now solve for the area of the new zoning map

A= 200*70.71

A= 14142ft²

Loss in square feet is

Area of initial map - area of New map

= 20,000-14,142

= 5,858 ft²

Answer: 20

Step-by-step explanation:

8 times 2 = 16

16 plus 4 = 20

Answer:

2x * 4

Step-by-step explanation:

Answer:

About 324.96 inches

Step-by-step explanation:

Pythagorean Triangle Formula: a²+b²=c²

36²+323²=c²

1296+104329=c²

c²=105,598

Square root both sides

c=[tex]\sqrt{105,598}[/tex]

c=324.958459 inches≈324.96 inches

We have been given that a parabola has vertex [tex](-8,-7)[/tex] and also passes through the point [tex](-7,-4)[/tex]. We are asked to write the equation of the parabola in vertex form.

We know that vertex form of parabola in format [tex]y=a(x-h)^2+k[/tex], where point (h,k) represents vertex of parabola.

Let us write equation of parabola using our given information as:

[tex]y=a(x-(-8))^2-7[/tex]

[tex]y=a(x+8)^2-7[/tex]

Now we will substitute the coordinates of point  [tex](-7,-4)[/tex] to solve for a as:

[tex]-4=a(-7+8)^2-7[/tex]

[tex]-4=a(1)^2-7[/tex]

[tex]-4=a-7[/tex]

[tex]-4+7=a-7+7[/tex]

[tex]3=a[/tex]

Therefore, our required equation would be [tex]y=3(x+8)^2-7[/tex] and option 'c' is the correct choice.

Answer:

D. 49.75 months

Step-by-step explanation:

Esme earns a net salary of $2400 per month.

In her saving account she already have a balance of $100.

She saves $100 every month after her monthly expenses.

She plans to buy a car of $20000 using a no interest loan .

She usually make a $300 payment on the loan every month.

The number of months she will save enough money to pay off her loan completely can be calculated below.

let

x  = number of months

The amount she saved altogether every month is $300 + $100 = $400.

Recall she already has $100 in her account

Amount of loan to be repaid = 100 + 400x

20000 = 100 + 400x

20000 - 100 = 400x

19900 = 400x

divide both sides by 400

x = 19900/400

x = 49.75 months

Answer:

D.) 49.75 Months

Step-by-step explanation:

Answer:

1 solution. Solution is -3.

Step-by-step explanation:

First subtract 8 from both sides. This gives you 5x=2x-9.

Then subtract 2x from both sides. This gives you 3x= -9

Next divide both sides by 3. This would give you that x = -3.

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Final answer:

The equation 5x + 8 = 2x - 1 is solved by isolating x to find that it has one solution, x = -3.

Explanation:

The equation 5x + 8 = 2x - 1 can be solved for x to determine how many solutions it has. To do this, we first rearrange the equation to bring all terms involving x on one side and the constants on the other. Subtract 2x from both sides to obtain 3x + 8 = -1. Next, subtract 8 from both sides to get 3x = -9. Finally, divide both sides by 3 to isolate x, which yields x = -3. Therefore, the equation has one solution: x = -3.

Answer:

2

Step-by-step explanation:

The value of z-score of an appliance that stopped working at 64 months is,

⇒ 2

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications.

For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

Given that;

The set of life spans of an appliance is normally distributed with a mean 48 and a standard deviation 8 months.

We know that;

Z- score = (X - μ) / σ

Here, We have;

μ = 48

σ = 8 months

X = 64 months

Hence, We get;

z - score = (64 - 48) / 8

z - score = 16 / 2

z - score = 2

Thus, The value of z-score of an appliance that stopped working at 64 months is,

⇒ 2

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

Explanation:

The idea is to plug in each pair of coordinates and see if you get a true equation. Choice A does not work because

y = 6x-2

20 = 6(6)-2 ... plugged in x = 6 and y = 20

20 = 36-2

20 = 34

we have a false equation. So this shows choice A does not work.

--------

However, choice D does work since...

y = 6x-2

28 = 6(5)-2 .... plug in (x,y) = (5,28)

28 = 30-2

28 = 28

Put another way, if we plugged x = 5 into the equation, then we'd get y = 28. Therefore, showing (5,28) is a point on the line y = 6x-2.

To find the ordered pair that satisfies the equation, substitute values for x and solve for y. The ordered pair for the equation y = 6x - 2 is (0, -2).

To find the ordered pair that satisfies the equation y = 6x - 2, we need to substitute different values for x and solve for y. Let's start by substituting x = 0. Plugging x = 0 into the equation, we get y = 6(0) - 2 = -2. So the ordered pair is (0, -2). Another way to find more ordered pairs is by using the slope-intercept form of the equation, y = mx + b, where m is the slope and b is the y-intercept. In this case, the slope is 6 and the y-intercept is -2.

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Answer:

B

Step-by-step explanation:

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