Wooden blocks in the shape of
cubes are painted with different
colors. How many square
centimeters will be painted?
4 cm

Answer:

x ≈ 11.3

Step-by-step explanation:

using the cosine ratio in the right triangle

cos61° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{DE}{DF}[/tex] = [tex]\frac{5.5}{x}[/tex] ( multiply both sides by x )

x × cos61° = 5.5 ( divide both sides by cos61° )

x = [tex]\frac{5.5}{cos61}[/tex] ≈ 11.3 ( to the nearest tenth )

The equivalent area of the parallelogram is 44.4m^2

The formula for finding the area of a parallelogram is expressed as:

Area = base * height

Given the following parameters

Base = 12m

Height = 3.7m

Substitute the given parameters into the formula to have:

Area = 12m * 3.7m

Area of the parallelogram = 44.4m^2

Hence the area of the parallelogram given is 44.4m^2

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Answer:

$44

Step-by-step explanation:

since its original price is $40, you would just add 5% but since it says 5% EACH year for 2 years , it would be 10%

you would just add 40 plus %10 if im not mistaken which is $44 so the price just went up $2 each year.

sorry if im wrong.

Answer:

The first one

Step-by-step explanation:

She cant buy anything over $15, but she can buy something thats $15 :))

Any quarter with sales level less than or equal to 7.908 million dollars would be considered a "failure" by this company.

To determine this sales level, we need to find the 20th percentile of the normal distribution with mean 9 million dollars and standard deviation 1.3 million dollars.

By using a standard normal distribution table we can find that the z-score corresponding to the 20th percentile is approximately -0.84.

The sales level that is the cutoff between quarters that are considered "failures" will be:

-0.84 = (x - 9)/1.3

- 0.84 * 1.3 = x - 9

- 1.092 = x - 9

x = 9 - 1.092

x = 7.908

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To convert kilometers per hour (km/hr) to meters per second (m/sec), we need to multiply the speed by 0.27778.

So, to convert 81 km/hr to m/sec, we multiply it by 0.27778 as follows:

81 km/hr x 0.27778 = 22.5 m/sec (rounded to one decimal place)

Therefore, 81 km/hr is equal to 22.5 m/sec (approximately).

~~~Harsha~~~

Answer: 22.5 Meters per Second

Step-by-step explanation: 1 km/h = 0.2777777778 m/s     1 m/s = 3.6 km/h

Example: convert 20 km/h to m/s:

20 km/h = 20 × 0.2777777778 m/s = 5.5555555556 m/s

Answer:

[tex]B. y=-1/4x+6.[/tex]

Step-by-step explanation:

The line perpendicular to the line y = 4x + 5 would need a slope of -1/4.

The slope of any perpendicular line multiplied by the original line must equal -1. Therefore, only answer B works.

Answer:

B

Step-by-step explanation:

The given line is a slope -intercept form

  y = mx + b     m is the slope

   for this line slope = 4

PERPENDICULAR slope is  - 1/m  = = -  1/4   <====you just have to LEARN this!

Answer B has slope = - 1/4

The steps to graph the absolute value functions are given below.

We have,

Absolute value functions of form f(x) = |ax + b| have a characteristic shape, which depends on the values of a and b.

Here are some general guidelines for graphing these functions:

Find the y-intercept:

To find the y-intercept of the graph, set x=0 and solve for y.

This gives f(0) = |b|, so the y-intercept is at the point (0,|b|).

Find the x-intercept(s):

To find the x-intercepts of the graph, set y = 0 and solve for x.

If b > 0, there are two x-intercepts: x = -b/a and x = b/a.

If b = 0, there is one x-intercept at x=0.

If b < 0, there are no x-intercepts.

Determine the direction of the graph:

If a > 0, the graph opens upwards, like a "V".

If a < 0, the graph opens downwards, like an upside-down "V".

Determine the vertex:

The vertex is the point where the graph changes direction.

If a > 0, the vertex is at (-b/a, 0).

If a < 0, the vertex is at (b/a, 0).

Sketch the graph:

Use the information above to sketch the graph of the absolute value function.

Plot the y-intercept, the x-intercept(s), and the vertex, and then draw a smooth curve connecting these points.

Thus,

The graph of the absolute value functions is given above.

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Answer:

y = 3/2x + 3

Step-by-step explanation:

The slope-intercept form is y = mx + b

2y − 3x = 6

2y = 3x + 6

y = 3/2x + 3

So, the answer is y = 3/2x + 3

If a load of 10 tons was distributed equally among 6 trucks, each truck would carry 1.6667 tons.

In Mathematics, the unit rate is sometimes referred to as unit ratio and it can be defined as the quantity of material that is equivalent to a single unit of product or quantity.

In order to determine the unit rate, we would use the following mathematical equation (formula);

Unit rate = Number of ounces/Number of trucks

Unit rate = 10/6

Unit rate = 1.6667 tons.

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Complete Question:

A load of 10 tons was distributed equally among 6 trucks, how many does each truck carry?

Answer:

x=9 y=-2

Step-by-step explanation:

Substitute -2 for y in x+2y=5

x+2y=5

x+(2)(-2)=5

x-4=5(add 4 to both sides)

x=9

y=-2 as stated before

x=9 y=-2

The point of tangency and the equation of the tangent line are (x, y) = (- 5, 0) and x = - 5, respectively. (Correct choice: D)

A figure representing a circle and a tangent line, from which we need to determine the point of tangency and the equation of the tangent line. The point of tangency is a point where the tangent line and the circle meet each other.

Thus, by direct inspection, we have the following results:

Point of tangency

(x, y) = (- 5, 0)

Tangent line

x = - 5

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Work Shown:

r = 2 = radius

h = 3 = height

SA = surface area of the cylinder

SA = 2*pi*r^2 + 2*pi*r*h

SA = 2*pi*2^2 + 2*pi*2*3

SA = 8pi + 12pi

SA = 20pi   ....... exact surface area

SA = 20*3.1415926535898

SA = 62.831853071796

SA = 62.832 ....... approximate surface area

1) The decay constant is  0.0385

2) The amount after ten years is  27.2 mg

3) The time taken for 10 mg to remain is  36 years.

We know that;

P = Poe^-kt

Given that the half life is 18 years;

20=40e^-18k

20/40=e^-18k

0.5 =e^-18k

ln0.5 = -18k

k = -0.693/-18k

k = 0.0385

After 10 years we have;

P = 40e^-10(0.0385)

P = 27.2 mg

10 mg will remain when;

10 = 40e^-0.0385t

10/40 =e^-0.0385t

0.25 = e^-0.0385t

ln0.25 = -0.0385t

t = -1.386/-0.0385

t = 36 years

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The population of Kentucky is nearly 5.9 times that of North Dakota.

To determine how many times larger Kentucky's population is than North Dakota's population, divide Kentucky's population by North Dakota's population:

4.47 x 10^6 / 7.62 x 10^5

We can simplify the fraction by dividing both the numerator and denominator by 7.62 x 10: 4.47 x 106 / 7.62 x 105 = 5.87

5.9, rounded to the closest tenth.

As a result, the population of Kentucky is nearly 5.9 times that of North Dakota.

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Answer:

answers in picture

(Btw we can’t see one of the triangles so you can just assume that the last one would be 46 degrees)

Step-by-step explanation:

Hope this helps! Pls give brainliest!

The numeric value of f(x) at x = π/5 is given as follows:

f(π/5) = - 2π/5 - 2

We are given the second derivative of the function, as follows:

f''(x) = -25sin(5x).

As we have the second derivative of the function, the function itself is obtaining integrating the second derivative twice.

Using integral by substitution, the first derivative is given as follows:

f'(x) = 5cos(5x) + K1

In which K1 is the constant.

When x = 0, f'(0) = 3, hence the value of K1 is obtained as follows:

3 = 5 + K1

K1 = -2.

Hence:

f'(x) = 5cos(5x) - 2.

Integrating again, the function is given as follows:

f(x) = 5sin(5x) - 2x + K2.

When x = 0, y = -2, hence the constant K2 is obtained as follows:

K2 = -2.

Thus the function is:

f(x) = 5sin(5x) - 2x - 2.

The numeric value of the function at x = π/5 is obtained as follows:

f(π/5) = 5sin(5(π/5)) - 2(π/5) - 2.

f(π/5) = 5sin(π) - 2π/5 - 2

f(π/5) = - 2π/5 - 2 -> as sin(π) = 0.

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Answer:5.6

Step-by-step explanation:

28 divided by 5 is 5.6

Answer: $33.6

Step-by-step explanation: 28(.20) will give us our $5.6 discount. now add that on top of 28.

The value of x in the triangular pyramid is 8 units.

The volume of the pyramid is given as 240 units cube. Therefore, let's find the value of x in the pyramid.

volume of the pyramid = 1 / 3 ×base area × height

Therefore,

base area = 1 / 2 bh

base area = 1 / 2 × 12 × x

base area = 6x

Therefore,

volume of the pyramid =  1 / 3 × 6x × 15

240 = 30x

divide both sides by 30

x = 240 / 30

x = 8 units

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The total change in All - Plus stock, given the change in one day and the dip the next day, would be - $ 3.125.

In the one day shown on the table, the price of All - Plus stock dropped by $ 2.50 dollars. The very next day, the price of the stock still dropped but this time by 1 / 4 of the fall in the first day so the fall was ;

= 1 / 4 x 2. 50

= $ 0. 625

This means that the total change in price can be found to be :

= Change in price first day + change next day

= 0. 625 + 2. 5

= $ 3. 125

This means prices of All - Plus stock changed by - $ 3.125.

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The x and y int for the equation are x = undefined and y-int = 1

From the question, we have the following parameters that can be used in our computation:

y = 4^x

Set the variable x to 0 to calculate the y-intercept

So, we have

y-int = 4^0

y-int = 1

Set the variable y to 0 to calculate the x-intercept

So, we have

4^x = 0

So, we have

x = ln(0)/ln(4)

Evaluate

x = undefined

Hence, the x-intercept is undefined

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The degree of the polynomial function f(x) = -2x + 2x3 is 3

From the question, we have the following parameters that can be used in our computation:

f(x) = -2x + 2x3

The degree of a polynomial function is the higtest power in the polynomial

In f(x) = -2x + 2x3, the highest power is 3

Hence, the degree is 3

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The area of the triangle is; 33 in².

The area of the rectangle is; 190 in².

The total area as required is; 223 in².

By observation; the triangle is such that its base is 6 in and it's height is; (20 - 9) = 11 in.

Therefore, the area of the triangle given by; (1/2)×b×h is; (1/2) × 6 × 11 = 33 in².

The area of the rectangle of length 20 in and width 9.5 in is; 20 × 9.5 = 190 in².

Ultimately, the total area of the composite shape is; 33 + 190 = 220 in².

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There are 264 anagrams of the word CADERNO that have vowels before consonants.

We have,

To count the number of anagrams of the word CADERNO that have vowels before consonants, we can use the following steps:

Count the number of vowels in the word.

In this case, there are three vowels: A, E, and O.

Count the number of consonants in the word.

In this case, there are four consonants: C, D, R, and N.

Determine the possible arrangements of vowels and consonants that satisfy the condition of having vowels before consonants.

Since there are three vowels and four consonants, there are two possible arrangements that satisfy this condition:

a) Vowel - Consonant - Vowel - Consonant - Vowel - Consonant - Consonant

b) Vowel - Consonant - Vowel - Consonant - Consonant - Vowel - Consonant

Calculate the number of ways to arrange the vowels and consonants in each of the possible arrangements determined in step 3.

We can use permutations to calculate this.

For arrangement a):

There are 3 ways to choose the first vowel (A, E, or O)

There are 4 ways to choose the first consonant (C, D, R, or N)

There are 2 ways to choose the second vowel (whichever is left out of the two remaining vowels)

There are 3 ways to choose the second consonant (whichever is left out of the three remaining consonants)

There is 1 way to choose the third vowel (the remaining vowel)

There is 1 way to choose the fourth consonant (the remaining consonant)

There is 1 way to choose the fifth consonant (the remaining consonant)

The total number of arrangements for this case is: 3 x 4 x 2 x 3 x 1 x 1 x 1 = 72

For arrangement b):

There are 3 ways to choose the first vowel

There are 4 ways to choose the first consonant

There are 2 ways to choose the second vowel

There are 2 ways to choose the second consonant (whichever is left out of the two remaining consonants)

There are 2 ways to choose the third consonant (whichever is left out of the two remaining consonants)

There is 1 way to choose the third vowel

There is 1 way to choose the fourth consonant

The total number of arrangements for this case is: 3 x 4 x 2 x 2 x 2 x 1 x 1 = 192

Add up the total number of arrangements for both cases to get the final answer:

72 + 192 = 264

Therefore,

There are 264 anagrams of the word CADERNO that have vowels before consonants.

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A better prediction in the scatter plot when for x when y = 7 would be

A scatter plot, аlso known as a scatter diagram or scatter grаph, is a grаphical representаtion оf dаtа thаt displays thе relаtionship between twо variables.

It is used to investigate thе сorrelation or relаtionship between twо quantitativе variables, tyрically rеprеsеntеd on thе x-axis and y-aхis оf a Сartesian cооrdinate system.

In the coordinate Cartesian system shown, for y = 7 the value closest is 11.  x = 52 is far away and will correspond to higher vales of y.

The relationship is a positive association

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The measure of the angle is A. 125^o

A measure of an angle which lies between 90^o and 180^0 is said to be obtuse. This implies that the measure of the angle is greater than a right angle but less than the sum of angles on a straight line.

In the given expression, the halfway between 120 and 130 degrees is given as;

(120 + 130)/ 2 = 125

Thus given that the angle has one ray pointing towards zero, then the other ray is pointing towards 125 degrees.

Then it can be concluded that the measure of the angle is A. 125^o.

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Answer: The answer is 24 kilograms of the 50% silver alloy and 16 kilograms of the 25% silver alloy should be used to make 40 kilograms of the 40% silver alloy.

Step-by-step explanation:

The circumference of the circle is 50.272in and the area is 3.142 x 8² = 200.96in².

The formula for circumference of a circle is given as:

  C = 2[tex]\pi[/tex]r

where r is the radius

and [tex]\pi[/tex] is 3.142

Area of a circle is given as:

   A = [tex]\pi r^{2}[/tex]

From the diagram,

diameter (d) given is 16in i.e:

d = 16in

but

r = d/2 = 16/2 = 8in

Now solve the C and A using the formula above:

C = 2 x 3.142 x 8 = 50.272in (approx.)

A = 3.142 x 8² = 200.96in² (approx.)

Briefly, a circle is a two-dimensional geometric shape consisting of all points in a plane that are a fixed distance, called the radius, from a given point called the center.

The distance around the circle, also known as its perimeter, is called the circumference.

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Answer:

James Abbott McNeill Whistler's Nocturne in Black and Gold: The Falling Rocket (c. 1875) is an example of "art-for-art's sake" of the Aestheticism movement.

Answer:

Step-by-step explanation:

27 times 3

= 81

Answer: 81

Step-by-step explanation: 27x3 ok what 3^to the 4th power so it would be 3x3x3x3

      9x9=81 is the same as saying 27x3