Find the missing length

I WILL GIVE BRAINLIEST

Answer:

292 and 2092

Step-by-step explanation:

Surface area:

Wall 1: 40 x 3 = 120m^2

Wall2: 40 x 3 = 120m^2

Wall 3: 15 x 3 = 45m^2

Wall 4: 15 x 3 = 45m^2

Ceiling: 15 x 40 = 600m^2

Total : 240 + 600 + 90 = 730

So, cost of painting = 730/25 x 10 = 29.2 x 10 = 292

Total: 292 + 1800 = 2092

The total cost of paint would be 2092 dollars.

The area of the cuboid is the sum of product of the length, breadth of the given prism.

Surface area:

Wall 1: 40 x 3 = 120m^2

Wall2: 40 x 3 = 120m^2

Wall 3: 15 x 3 = 45m^2

Wall 4: 15 x 3 = 45m^2

Ceiling: 15 x 40 = 600m^2

The Total area: 240 + 600 + 90 = 730

So, The cost of painting = 730/25 x 10

= 29.2 x 10

= 292

Total: 292 + 1800 = 2092

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Answer:

The profit decreases by $ 375 for every $ 1 increase in the selling price.

Step-by-step explanation:

From the definition of the secant line we get that the average rate of change of \(P(x) = -0.015\cdot x^{2}+1.2\cdot x -11.5\), where \(x\) is the selling price of the product, measured in dollars per unit, is:

\(r = \frac{P(55)-P(50)}{55-50}\) (1)

Now we evaluate the function at each bound:

x = 50

\(P(50) = -0.015\cdot (50)^{2}+1.2\cdot (50)-11.5\)

\(P(50) = 11\)

x = 55

\(P(55) = -0.015\cdot (55)^{2}+1.2\cdot (55)-11.5\)

\(P(55) = 9.125\)

Then, the average rate of change is:

\(r = \frac{9.125-11}{55-50}\)

\(r = -0.375\)

Hence, the profit decreases by $ 375 for every $ 1 increase in the selling price.

The statements that best interprets the average rate of change from x = 50 to x = 55 is (b) The profit decreases by $375 for every $1 increase in the selling price.

The profit function is given as:

\(P(x) = -0.015x^2 + 1.2x - 11.5\)

Calculate P(x), when x = 50.

So, we have:

\(P(50) = -0.015(50)^2 + 1.2(50) - 11.5\)

\(P(50) = 11\)

Calculate P(x), when x = 55.

So, we have:

\(P(55) = -0.015(55)^2 + 1.2(55) - 11.5\)

\(P(55) = 9.125\)

The average rate of change from x = 50, to 55 is then calculated using:

\(m = \frac{P(55) - P(50)}{55-50}\)

So, we have:

\(m = \frac{9.125 - 11}{55-50}\)

\(m = \frac{-1.875}{5}\)

Divide

\(m = -0.375\)

The function is in 1000 units.

So, we have:

\(m = -0.375\times 1000\)

\(m = -375\)

-375 implies a decrease of $375 for every $1 increase in sales

Hence, the correct statement is (b)

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Answer:

y = 12+ 3x

Step-by-step explanation:

each month she gets 3 new ones, so 3 times the number of months passed. plus the 12 she already got. That's how many she has each month.

Step-by-step explanation:

So the question is easy ....The thing that you need to do here is ...You should divide area by length....and you will get your answer....

Area of rectangular parking lot = 7081 m²

length of parking lot = 97 m

Width = ?

Now,

Area = l × b

7081 = 97 × b

7081 / 97 = b

b = 73 m

Hence the width is 73 m....

Step-by-step explanation:

D meter stick

Answer: 15,000 people paid $15.00 for reserved seats and 25,000 paid $8.00 for general admission.

Step-by-step explanation:

Let x = Number of reserved seats

y= Number of general admission

According o the question:

x + y = 40000           (i)

15x + 8 y = 425000           (ii)

Multiply 8 to equation (i), we get

8x + 8 y = 320000          (iii)

Subtract (iii) from (ii), we get

15x - 8x + 8y - 8y = 425000-320000

⇒ 7x = 105000

⇒ x = 15000  [Divide both sides by 7]

Put this in (i) , we get

15000+y= 40000

⇒ y = 40000-15000

⇒ y= 25000

Hence, 15,000 people paid $15.00 for reserved seats and 25,000 paid $8.00 for general admission.

Answer:

-1/2

Step-by-step explanation:

2x-y=-8 --> y=2x+8 (slope: 2)

to be perpendicular, the product of two slopes should be -1

thus, the slope of a line perpendicular to this one is -1/2

Answer:

5*8 = 40

Step-by-step explanation:

2(3) -1 = 5

3 +5 = 8

area = 5*8 = 40

Answer:

formula-Area=l×b

Step-by-step explanation:

Length (l)=2x-1

Breadth(b)=x+5

We know that,

Area(A)=l×b

=(2x-1)×(x+1)

=(2×3-1)×(3+1)

=5×4

=20cm*2*

When all samples are drawn from a single population, the mean of the distribution of differences should approximate 0.

When samples are drawn from a single population, the differences between pairs of samples should reflect the inherent variability within that population. If the population has a well-defined mean, the differences between pairs of samples will tend to cancel out, resulting in an average difference close to zero.

This is because the positive differences will be balanced by the negative differences, leading to an overall mean difference of approximately zero.

Therefore, option a, "0," is the correct answer. The mean of the distribution of differences should approach zero when all samples are drawn from a single population.

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The book is opened to pages 11 and 12.

How to get the product of the page

x * (x + 1) = 132

Expanding the equation, we get:

x² + x = 132

To solve for x, we need to rewrite the equation as a quadratic equation:

x²+ x - 132 = 0

Now, we can factor the quadratic equation:

(x - 11)(x + 12) = 0

This equation has two solutions for x:

x = 11

x = -12

Since page numbers cannot be negative, we discard the second solution. Thus, the left-hand page number is 11, and the right-hand page number is 11 + 1 = 12.

So, the book is opened to pages 11 and 12.

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The wavelength of the line in the hydrogen atom spectrum corresponding to the n₁ = 2 to n₂ = 6 transition is 4102 nm.

When an electron transitions from a higher to a lower energy level, it discharges a photon of the a specific wavelength. The Rydberg formula describes the connection between the shift in energy level and the wavelength:

\(\frac{1}{\lambda}=R\left(\frac{1}{n_{1}^{2}}-\frac{1}{n_{2}^{2}}\right)\)

Where,

R = Rydberg constant ( = 1.097 × 10⁷ /m)

n₁ =  lower energy level ( = 2)

n₂ = higher energy level ( = 6)

λ = wavelength of emitted photon

Now, according to the question;

Substitute the given values in the formula;

\(\begin{aligned}&\frac{1}{\lambda}=R\left(\frac{1}{n_{1}^{2}}-\frac{1}{n_{2}^{2}}\right) \\&\frac{1}{\lambda}=1.097 \times 10^{7}\left(\frac{1}{2^{2}}-\frac{1}{6^{2}}\right)\end{aligned}\)

\(\begin{aligned}&\frac{1}{\lambda}=2.437 \times 10^{6} \\&\lambda=4.102\times 10^{-6}\end{aligned}\)

λ = 4102 nm.

Therefore, the wavelength of the line in the hydrogen atom spectrum corresponding to the n₁ = 2 to n₂ = 6 transition is 4102 nm.

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Maria skied a distance of 2.55 km, taking 0.425 hours (25.5 minutes) going up and 0.075 hours (4.5 minutes) skiing down.

To find out how far Maria skied and for how long, we'll use the given information and apply the distance-rate-time formula. The formula is Distance = Rate × Time.
First, let's convert the given 30 minutes into hours since the rates are in km/hr.
30 minutes = 30/60 = 0.5 hours.
Let x be the distance Maria skied up and down, and let t1 and t2 be the time taken to go up and down, respectively.
For the ski lift(going up):
Distance = Rate × Time
x = 6 × t1
For skiing down:
Distance = Rate × Time
x = 34 × t2
Since the round trip took 0.5 hours, we have:
t1 + t2 = 0.5
Now we have a system of equations:
x = 6 × t1
x = 34 × t2
t1 + t2 = 0.5
From the first equation, we can express t1 as:
t1 = x/6
From the second equation, we can express t2 as:
t2 = x/34
Now substitute these expressions into the third equation:
(x/6) + (x/34) = 0.5
To solve for x, find a common denominator (in this case, 102) and combine the fractions:
(17x + 3x) / 102 = 0.5
20x = 51
x = 51/20
x = 2.55 km
Now, we can find t1 and t2:
t1 = x/6 = 2.55/6 = 0.425 hours
t2 = x/34 = 2.55/34 = 0.075 hours
So, Maria skied a distance of 2.55 km, taking 0.425 hours (25.5 minutes) going up and 0.075 hours (4.5 minutes) skiing down.

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Answer:

Irrational

Step-by-step explanation:

40 is not a perfect square.

Answer:

irrational

Step-by-step explanation:

40 isnt a perfect square where if you want to know weather it is or not you put the square root of any number on the calculator and if it's the same answer or in the answer there is a square root then it is an irrational number

Answer:

The answer is

\(2 \cos(100) + i \sin(100) \)

Step-by-step explanation:

This is a complex number,

\(a + bi\)

First, convert this to de movire form.

\(r( \cos( \alpha ) + i \sin( \alpha ) \)

where

\(r = \sqrt{ {a}^{2} + {b}^{2} } \)

and

\( \alpha = \tan {}^{ - 1} ( \frac{b}{a} ) \)

\(a = 4\)

\(b = - 4 \sqrt{ 3} i\)

\(r = \sqrt{ {4}^{2} + ( - 4 \sqrt{3}) {}^{2} } \)

\(r = \sqrt{16 + 48} \)

\(r = \sqrt{64} = 8\)

and

\( \alpha = \tan {}^{ - 1} ( \frac{ - 4 \sqrt{3} }{4} ) \)

\( \alpha = \tan {}^{ - 1} ( - \sqrt{3} ) \)

Here, our a is positive and b is negative so our angle in degrees must lie in the fourth quadrant, that angle is 300 degrees.

So

\( \alpha = 300\)

So our initially form is

\(8( \cos(300) + i \sin(300) )\)

Now, we use the roots of unity formula. To do this, we first take the cube root of the modulus, 8,

\( \sqrt[3]{8} = 2\)

Next, since cos and sin have a period of 360 we add 360 to each degree then we divide it by 3.

\( \sqrt[3]{8} ( \cos( \frac{300 + 360n}{3} ) + \sin( \frac{300 + 360n}{3} ) \)

\(2 \cos(100 + 120n) + i \sin(100 + 120n) \)

Since 100 is in the second quadrant, we let n=0,

\(2 \cos(100) + i \sin(100) \)

We have that the proportion of people that like dark chocolate more than milk chocolate is 29%, with a margin of error of 1.9%. Then we would have:

then, the absolute value inequality that most looks like this is the following:

The ratios of (a) square kens to square meters (1 ken² / 1 m²) is 3.88

For given question,

We have been given the unit conversion.

A traditional unit of length in Japan is the ken

and 1 ken = 1.97 m

We need to find the the ratios of (a) square kens to square meters.

First we find the square of 1 ken.

⇒ 1 square kens = (1.97 m)²

⇒ 1 square kens = 1.97 × 1.97 m²

⇒ 1 square kens = 3.88 m²                  ..................(1)

And 1 square meters = 1 m²                 ................. (2)

Now we take the ratio of square kens to square meters.

From (1) and (2),

⇒ 1 ken² / 1 m² = 3.88 / 1

⇒ 1 ken² / 1 m² = 3.88

Therefore, the ratios of (a) square kens to square meters (1 ken² / 1 m²) is 3.88

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Step-by-step explanation:

The question is incomplete. Let us assume the two bathrooms have floors that each measure 24 square feet and third bathroom floor measures 18 square feet.

For the two bathrooms, the total area will be 2*24 = 48 square feet

Since the third bathroom measures 18 square feet, the total square feet for the  3 bathrooms is equal to 48sq. ft + 18 sq.ft = 64sq. ft

If the tile costs $2.39 per square foot, then the amount that 64sq. ft tiles will cost is expressed as:

1 sq. ft = $2..39

64sq.f = $x

Cross multiply:

1*x = 2.39* 64

x = $152.96

Hence the amount that the company's spent on tiles for the three bathrooms will be 15296 cents.

Note that the dimensions of bathrooms were assumed. You can follow the same procedure for any dimension given.

Answer:

$126

Step-by-step explanation:

We solve using Compound Interest formula

For Matthew

Matthew invested $4,700 in an account paying an interest rate of 3 3/8% compounded monthly.

P = $4700

R = 3 3/8 % = 3.375 %

t = 14 years

n = Compounded Monthly = 12

Hence,

First, convert R as a percent to r as a decimal

r = R/100

r = 3.375/100

r = 0.03375 rate per year,

Then solve the equation for A

A = P(1 + r/n)^nt

A = 4,700.00(1 + 0.03375/12)^(12)(14)

A = 4,700.00(1 + 0.0028125)^(168)

A = $7,533.80

For Peyton, we are using a different compound interest formula because it is compounded continuously

Peyton invested $4,700 in an account paying an interest rate of 3 1/4%

compounded continuously.

P = $4700

R = 3 1/4 % = 3.25%

t = 14 years

n = Compounded continuously

First, convert R as a percent to r as a decimal

r = R/100

r = 3.25/100

r = 0.0325 rate per year,

Then solve the equation for A

A = Pe^rt

A = 4,700.00e^(0.0325)(14)

A = $7,408.01

After 14 years, the amount of money Matthew would have in his account than Peyton, to the nearest dollar is calculated as:

$7,533.80 - $7,408.01

= $125.79

Approximately = $126 to the nearest dollar

Answer:

126

Step-by-step explanation:

126 to the nearest dollar

Answer:

start with -29, multiply each term by 4

start with 60, multiply each term by 0.1

start with 97 and multiply each term by 0.5

3.03 cells

Step-by-step explanation:

1. The first sequence begins with -29. -116 ÷ -29 = 4, -464 ÷ -116 = 4, etc. Each value is multiplied by 4 to get the next value.

2. The second sequence begins with 60. 6 ÷ 60 = 0.1, 0.6 ÷ 6 = 0.1, etc. Each value is multiplied by 0.1 to get the next value.

3. The colony starts with 97 cells. Splitting into two is the same as multiplying by 0.5.

4. Multiply 97 by 0.5, 5 times for 5 minutes.

97 · 0.5 · 0.5 · 0.5 · 0.5 · 0.5 = 3.03

The distance between point M and point N is 12 units.

Coordinates are a set of numbers or vaIues that describe the position or Iocation of a point in space. In two-dimensionaI space (aIso known as the Cartesian pIane), coordinates are typicaIIy represented by two vaIues, usuaIIy denoted as (x, y), that describe the horizontaI and verticaI position of a point reIative to a set of axes.

The distance formuIa is a mathematicaI formuIa used to find the distance between two points in a two- or three-dimensionaI space.

d = √[(x₂ - x₁)² + (y₂ - y₁)²]

The distance formuIa is based on the Pythagorean theorem, which states that in a right triangIe, the square of the Iength of the hypotenuse (the side opposite the right angIe) is equaI to the sum of the squares of the Iengths of the other two sides.

In the given question,

We can use the distance formuIa to find the distance between point M and point N:

d = √[(x₂ - x₁)²+ (y₂ - y₁)²]

where (x₁, y₁) are the coordinates of point M and (x₂, y₂) are the coordinates of point N.

PIugging in the given vaIues, we have:

d = √[(-8 - 4)² + (-8 - (-8))²]

d = √[(-12)² + 0²]d = √[144]

d = 12

Therefore, the distance between point M and point N is 12 units.

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Answer: To find the equation of a line perpendicular to another line, we need to find the negative reciprocal of the slope of the original line and use the point-slope form of a line.

The equation of the original line is 5y = 2x - 4, which we can rearrange to get y = (2/5)x - 4/5. The slope of this line is 2/5. The negative reciprocal of the slope is -5/2.

Now, we can use the point-slope form of a line, y - y1 = m(x - x1), where m is the slope and (x1, y1) is a point on the line. Substituting the slope -5/2 and the point (0, 7), we get:

y - 7 = -5/2 (x - 0)

y - 7 = -5/2 x

y = -5/2 x + 7

So the equation of the line perpendicular to 5y = 2x - 4 and passing through (0, 7) is y = -5/2 x + 7.

Step-by-step explanation:

Answer:

Rift =37.92 pounds

Terraza=2.08 pounds

9514 1404 393

Answer:

Step-by-step explanation:

Let t represent the number of pounds of Terraza blend required. Then 40-t is the number of pounds of Rift Valley blend needed. The cost of the mix will be ...

  13.50t +10.20(40 -t) = 10.37(40)

  3.30t = 6.8 . . . . . . . . . . . . . . . . . . . . subtract 408

  t = 6.8/3.30 = 68/33 = 2 2/33 ≈ 2.06061 . . . . pounds of Terraza

Then the quantity of Rift Valley blend required is ...

  40 -2 2/33 = 37 31/33 ≈ 37.93939 . . . . pounds of Rift Valley

A room area

Lenght × Width = 16 × 12

= 192 square feet

1 square yard = 9 square feet

so 1 square feet = 1/9 square yard

192 square feet = 192 × 1/9 square yard

= 64/3 square yard

Total cost

$30 × 64/3 = $640

Answer:

1 - 12

2 - 22

3 - 12

4 - waterslide

5 - 3

6 - 36%

7 - 9/28

8 - 8/22 or 4/11

9  - 6/25

10 - 50

Step-by-step explanation:

1 - 28-8-7=12

2 - 3+8+11=22

3 - 9+3=12

4 the total at the water activities was 20 while the total at the picnic was 18

20 is greater than 18 therefore the waterslide was favored

5 - 12 - 9 = 3

6 -(100/50)18=36

Answer:

you take the perimeter and subtract 2*the length. Then you divide that answer by 2

Step-by-step explanation:

This is because a rectangle is made up of 2 pairs of heights. 2 equal sides represent the height and 2 equal sides represent the width.

When we subtract the lengths of the 2 sides that represent the height we get a number that we then have to divide by 2 to get the width of the triangle.

Hope this helps. It's a little difficult to explain but the answer is correct :)

Answer:

-4.84

Step-by-step explanation:

the -4.84 is closest to the positive side of a number line. meaning -4.84 is greater

Answer:

-4.84

Step-by-step explanation:

Becuase the smaller the minus number the greater Becuase its the reverse of positive numbers

The formula for a cubic polynomial function is f(x)=ax³++bx²+cx+d, where a not equal to 0.

f(x) = x³+2x²-16x-32

The formula for a cubic function is f(x) = ax3 + bx2 + cx + d, where a, b, c, and d are all real values and a 0.

A cubic polynomial function has the formula f(x)=ax3++bx2+cx+d, where an is not equal to 0. A cubic polynomial always has three zeros, which could be all the same or all different. The zeros could be real or complex, depending on the function.

If x = -4, -2, or 4 then f(x) = 0

These are the roots, then.

factors include F(x) = [(x+4)(x-4)] = (x+4)(x+2)(x+4) For example, (x+2) f(x) = (x2-16) (x+2) f(x) = x3+2x2-16x-32

A cubic equation might have three real roots, similar to how a quadratic equation could have two. However, a cubic equation always has at least one real root, unlike a quadratic equation, which may not have any real solutions.

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Answer:

B

Step-by-step explanation:

Radius is half of diameter so r is 36

\(4/3\pi r^3\) is volume of sphere

using 3.14 as pi you get 195,333.12 cubic cm

On a unit circle, the terminal point of theta is (sqrt 3/2, 1/2). theta if 0° is 30 degrees.

The measurement of an angle is expressed in terms of degrees. Radians and degrees are the two most often used units for measuring angles. In actual geometry, the angle is always measured in degrees. Degree is denoted by the sign °. (degree symbol). One full rotation is equal to 360 degrees (sometimes written as 360°), which is the measurement of a complete angle in degrees. The unit of measurement for angles is the degree. Since radians are the SI unit for measuring angles, it is not a SI unit. In geometry, we typically use a protractor to measure angles in degrees. In most cases, a protractor is utilized in schools to measure angles in order to address various mathematical issues.

Given

x = √3/2

y = 1/2

theta = arctan(y/x)

theta = arctan(1/2÷√3/2)

theta = arctan(1/2 * 2/√3)

theta = arctan(1/√3)

theta = 30°

On a unit circle, the terminal point of theta is (sqrt 3/2, 1/2). theta if 0° is 30 degrees.

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