Find the perimeter of the figure. I’ll mark brainliest if correct

Answer: it takes 7 hours for Rocco to do the job alone.

Step-by-step explanation:

Working together, Rocco and Giulia can paint a room in 3 hours. It would have taken Rocco 7 hours to do the job alone.

Answer:

66, 114, 114

Step-by-step explanation:

angle 3=angle 1=66

angle 2=angle 4=180- angle 3=114

Maria wrote incorrectly the function, it is:

y = |x - 4|

And:

She started with the parent absolute value function:

y = |x|

And wrote a translation to the right as:

y = |x + 4|

That is her mistake, a translation to the right of N units is written as:

g(x)= f(x - N)

So for a translation to the right of 4 units, we need to subtract 4 to the input, the actual function that we can see on the graph is written as:

y = |x - 4|

Now, the y-intercept is what we get when we evaluate in x = 0:

y = |0 - 4| = 4

So the y-intercept is (0, 4).

The x-intercept is the value of x such that y = 0, so we need to solve:

|x - 4| = 0

x - 4 = 0

x = 4

The x-intercept is (4, 0).

Finally, the domain (like in all absolute value functions) is the set of all real numbers, and the range is the set of all real numbers equal to or larger than zero.

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Answer: When you are simplifying exponential terms raised to another exponent, the way to simplify them is to multiply the exponents together.

Step-by-step explanation:

Moon Software Inc. must issue approximately 3,927 OID bonds to raise $3,000,000.

The par bonds have a coupon rate of 10% and a par value of $1,000. To raise $3,000,000, Moon Software Inc. needs to issue 3,000 par bonds since $3,000,000 divided by $1,000 equals 3,000.

The OID bonds have a semiannual coupon rate of 7.75% and a par value of $1,000. Since these bonds need to provide investors with the same effective yield as the par bonds, they must be offered at a discount. To calculate the number of OID bonds required, we need to determine the discount needed to match the effective yield of the par bonds.

The effective yield of the par bonds is 10%. The OID bonds have a coupon rate of 7.75%, so the discount needed to match the effective yield is 10% - 7.75% = 2.25%.

To raise $3,000,000 with OID bonds, we divide the amount by the discount rate: $3,000,000 / 2.25% = $133,333,333.33.

Since each OID bond has a par value of $1,000, we divide the total amount by $1,000: $133,333,333.33 / $1,000 = approximately 133,333.33 bonds.

Since we need a whole number of bonds, we round up to the nearest whole number, which gives us 133,334 bonds.

Therefore, Moon Software Inc. must issue approximately 133,334 OID bonds to raise $3,000,000.

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The measures of the angles of the rhombus are 106 degrees and 74 degrees.

To find the measures of the angles in the rhombus with the given condition, follow these steps:
1. Let the two angles between a side and the diagonals be x and y. According to the given information, the difference between these angles is 32 degrees, so we can write the equation:

x - y = 32.
2. In a rhombus, the diagonals are perpendicular bisectors of each other. This means that the diagonals divide the rhombus into four congruent right triangles.
3. Since the diagonals bisect the angles of the rhombus, we know that x + y = 180 (the angles are supplementary).
4. Now we have a system of two linear equations:
  x - y = 32
  x + y = 180
5. Add the two equations to eliminate the y variable:
  2x = 212
6. Divide both sides by 2 to find the value of x:
  x = 106
7. Substitute the value of x back into one of the equations to find the value of y (using x + y = 180):
  106 + y = 180
8. Solve for y:
  y = 74
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Answer:

83

Step-by-step explanation:

First do 2(6 x 4) = 48

Next do 2(2.5 x 4) = 20

Then do 6 x 2.5 = 15

Finally add the three numbers: 48 + 20 + 15 which equals 83

Therefore, √128 lies between 11 and 12 on a number line.

To determine the two numbers between which √128 lies on a number line, we can calculate the square roots of consecutive perfect squares that surround 128.

By calculating the square roots, we can find the two nearest whole numbers that √128 lies between.

Calculating the square roots of perfect squares near 128:

√121 = 11

√144 = 12

Since 128 is greater than 121 and less than 144, √128 lies between √121 and √144 on the number line.

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For the polynomial function f(x) = x(x + 6):(A) The degree of the polynomial is 2.(B) To find the x-intercepts, we set f(x) equal to zero and solve for x. In this case, we have x(x + 6) = 0. (C) The y-intercept occurs when x = 0.

The given polynomial function f(x) = x(x + 6) is a quadratic polynomial with a degree of 2. To find the x-intercepts, we set the polynomial equal to zero and solve for x. By factoring out x from x(x + 6) = 0, we obtain the solutions x = 0 and x + 6 = 0, which gives x = 0 and x = -6 as the x-intercepts. The y-intercept occurs when x is equal to 0, and by substituting x = 0 into the function, we find that the y-intercept is (0, 0).

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Answer:

A : Equation 4

B: Equation 1

C: Equation 3

D: Equation 2

Step-by-step explanation:

For direct proportionality, it means as one variable increases, the other increases. E.g. as X in eqn 4 increases y increases. Same thing applies to decrease. This is cause y and x are on the "same level". In eqn 2 and 3, y and x are NOT on the same level because of the division sign.

Hope this helps!

Kindly mark (my answer) as brainliest. Thanks.

Answer:

see below

Step-by-step explanation:

The interior angle of the triangle on the right is   180 - ( 9x+12)

  this plus the other two sum to 180 degrees

180 - (9x+12)     +     4x-3      +       6x + 3 = 180

  x   = 12

then the angles are        6(12)  + 3 = 75      4(12) -3 = 45    and    60°      

Answer:

$1.75

Step-by-step explanation:

4b+n=12;2b+3n=18.5

Step: Solve4b+n=12for n:

4b+n+−4b=12+−4b(Add -4b to both sides)

n=−4b+12

Step: Substitute−4b+12fornin2b+3n=18.5:

2b+3n=18.5

2b+3(−4b+12)=18.5

−10b+36=18.5(Simplify both sides of the equation)

−10b+36+−36=18.5+−36(Add -36 to both sides)

−10b=−17.5

(Divide both sides by -10)

b=1.75

Step: Substitute1.75forbinn=−4b+12:

n=−4b+12

n=(−4)(1.75)+12

n=5(Simplify both sides of the equation)

Answer:

b=1.75 and n=5

The probability of choosing two coins from the bag with a combined value of less than 10 cents is 40%.

To find the probability that the combined value of the chosen coins is less than 10 cents, we need to consider all the possible combinations of choosing 2 coins from the bag and determine the number of combinations that satisfy the given condition.

Let's calculate the probabilities for each case:

Choosing two pennies:

The combined value of two pennies is 1 cent. There is only one combination for this case: (Penny, Penny).

Choosing a penny and a nickel:

The combined value of a penny and nickel is 6 cents. There are two possible combinations: (Penny, Nickel) and (Nickel, Penny).

Choosing a penny and a dime:

The combined value of a penny and a dime is 11 cents, which is greater than 10 cents. Therefore, there are no combinations for this case.

Choosing a penny and a quarter:

The combined value of a penny and a quarter is 26 cents, which is greater than 10 cents. There are no combinations for this case.

Choosing two nickels:

The combined value of two nickels is 10 cents. There is only one combination for this case: (Nickel, Nickel).

Choosing a nickel and a dime:

The combined value of a nickel and a dime is 15 cents, which is greater than 10 cents. There are no combinations for this case.

Choosing a nickel and a quarter:

The combined value of a nickel and a quarter is 30 cents, which is greater than 10 cents. There are no combinations for this case.

Choosing two dimes:

The combined value of two dimes is 20 cents. There is only one combination for this case: (Dime, Dime).

Choosing a dime and a quarter:

The combined value of a dime and a quarter is 35 cents, which is greater than 10 cents. There are no combinations for this case.

Choosing two quarters:

The combined value of two quarters is 50 cents, which is greater than 10 cents. There are no combinations for this case.

In total, there are 10 possible combinations, but only 4 of them have a combined value of less than 10 cents. Therefore, the probability that the combined value of the chosen coins is less than 10 cents is 4/10 or 2/5, which can also be expressed as 0.4 or 40%.

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The question is -

A small bag has a penny, a nickel, a dime, and a quarter. A child chooses 2 coins from the bag at random.

What is the probability that the combined value of the chosen coins is less than 10 cents?

The statements that are true about the data in the graph include the following:

B. If 200 students were surveyed, 28 would choose art as their favorite subject.

C. If 400 students were surveyed, 64 would chose social studies as their favorite subject.

In Mathematics, a pie chart can be defined as a type of graph that is used for the graphical representation of the proportion relationship between each part or unit to a whole, especially by dividing a circle into various sectors or sections.

Assuming 200 students were surveyed at 14%, the number of students who would choose art as their favorite subject can be calculated as follows;

Number of students for arts = 14/100 × 200

Number of students for arts = 0.14 × 200

Number of students for arts = 28 students.

Assuming 400 students were surveyed at 16%, the number of students who would choose social studies as their favorite subject can be calculated as follows;

Number of students for social studies = 16/100 × 400

Number of students for social studies = 0.16 × 400

Number of students for social studies = 64 students.

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105

x5.6

0630

+5250=

5880

Then add a decimal point

588.0

588

hope it helps!

Answer:

Step-by-step explanation:

First, let's define standard notation. Standard notation is just the normal way to write numbers. So multiply 5.6 x 105 and you get...

Answer:

Is there supposed to be a photo of what you are asking, if so please edit your question and place the photo. I have placed an explanation and an exapmle for you tho... hope it helps.

Step-by-step explanation:

1/8 of an inch is equal to 0.125 of an inch, so you know it's length to at least 0.01 then you must pick the nearest multiple of 0.125.

If you are using reactions, find the common denominator of 1/8 and the fraction you are using, divide your measured numerator by a new numerator of 1/8, and that's how many 1/8s you have.

Example

measure: 0.56 inches

Nearest 1/8: 4

4/8= 0.5, therefore 0.56 is 0.06 away from 4/8, but 0.065 away from 5/8.

Measured: 5/7

Nearest 1/8: 6

Common denominator gives 7/56 and 40/56. 40/7 gives 5.71, therefore you have 5.71 1/8s, which would round to 6.

The length of the segment to the nearest 1/ 8 of a unit is approximately 3⅛ units.

Segment length can be determined by measuring from one endpoint to the other. In this case, we need to find the length to the nearest 1/8 of a unit.

1. Identify Endpoints:

Locate the two endpoints of the segment. Let's label them as A and B.

2. Measurement:

Using a ruler or any measuring tool, place one end of the ruler at point A and align it with point B. Read the measurement where point B ends on the ruler.

3. Fractional Units:

Most rulers have markings for whole units, halves, quarters, and sometimes eighths. Identify the closest mark on the ruler to point B.

4. Counting Eighths:

Now, focus on the eighths of a unit. Each space between two eighth marks represents 1/8 of a unit. Count how many of these spaces are between the closest quarter or half mark and point B.

5. Final Calculation:

Add up the whole units, halves, quarters, and the eighths you counted. This gives you the total length in mixed-number form.

6. Nearest 1/8:

If the measurement falls exactly on a 1/8 mark, that's your answer. If not, determine whether it's closer to the previous or the next 1/8 mark and round accordingly.

In your case, after following these steps, you'll find that the segment length is approximately 3⅛ units to the nearest 1/8 of a unit.

This means the length is a little more than 3 whole units and 1/8 of a unit.

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Answer:

A.

Twice the sum of a number and three means that the number and three are in parentheses.

Given, (1, 3), (6,3), (6, 6) and (1, 6) are the vertices of a rectangle, the width is 1 unit shorter.

A rectangle is a quadrilateral with the four right angles in the Euclidean plane. It can alternatively be described as a parallelogram with a right angle or an equiangular quadrilateral, where equiangular denotes that all of its angles are equal (360°/4 = 90°). A square is a rectangle with the four equally long sides. Oblong is occasionally used to describe a rectangle that isn't square. Rectanglen is the symbol for a rectangle having the vertices ABCD. ABCD in PNG.

Rectangulus, a combination of rectus (as an adjective, right, proper), and angulus, is the source of the English word rectangle (angle).

A crossed rectangle is a quadrilateral that is formed by the intersection of two diagonals and the two opposite sides of a rectangle (therefore only two sides are parallel). Although opposite angles are equal, it is a specific example of an antiparallelogram in which the angles are not all right angles and equal. There exist so-called rectangles in other geometries, including spherical, elliptic, and hyperbolic ones, with opposite sides of equal length and equal angles that are not right angles.

Many tiling issues use rectangles, like tiling the plane with rectangles or tiling a rectangle with polygons.

By plotting given points in the coordinate plane,

We get rectangle ABCD having vertices,

A(-1,6), B (3,6), C (3,1), D (-1,1)

By distance formula,

Shorter side or width of rectangle,

AB= \(\sqrt{ [3-(-1)]^{2}+ (6-6)^{2}} = \sqrt{4^{2}+0 } = 4 units\)

Longer side or length of rectangle,

BC= \(\sqrt{(3-3)^{2}+(1-6)^{2}}=\sqrt{5^{2} } = 5 units\)

The difference between length and width,

BC-AB= 5-4= 1units

Hence, width of rectangle is 1 unit less than the length.

active attachment

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Answer:

4).

Step-by-step explanation:

sin A = cos B

Because sin A = CB/AB and cos B = CB/AB.

Answer:

g(g(x)=25x

Step-by-step explanation:

g(g(x) is a composition function. Think of g(x) as input. That means whatever g(x) equal that will be inside of the function g(x)

g(x) equal 5x so 5x will be the equal value going into the function g(x)

\(g(x) = 5x\)

\(g(x) = 5(5x)\)

Which equal 25x

Answer:

27x^3 - 54x^2 + 36x - 8

Step-by-step explanation:

(3x - 2)^3

= (3x - 2) (3x - 2) (3x - 2)

= 27x^3 - 54x^2 + 36x - 8

Hope this helps :)

Let me know if there are any mistakes!!

Answer:

1x

Step-by-step explanation:

Answer:

i cant see the question :(

Step-by-step explanation:

The values of variables a and b are -10 and -1.

Now, For the values of a and b, we start by the derivative of the function f(x) = bx² using the power rule of differentiation as,

f (x) = bx²

f'(x) = 2bx

Next, we need to evaluate f'(2)

since the equation given is the tangent line to the graph of f(x) at x = 2:

f'(2) = 2b(2)

f' (2) = 4b

Now, we know that the slope of the tangent line to the graph of f(x) at x = 2 is 2,

which means that 2x + 3y = a can be written in slope-intercept form as:

y = (-2/3)x + a/3

Since this line is tangent to the graph of f(x) at x = 2, we know that the y-coordinate of the point of tangency is f(2), which can be found by substituting x = 2 into the equation for f(x):

f(2) = b(2²) = 4b

So, the point of tangency is (2, 4b).

Now, we can use the point-slope form of a line to find the equation of the tangent line at x = 2:

y - 4b = 2(-2/3)(x - 2)

y = (-4/3)x + (8/3 + 4b)

Comparing this equation to the equation 2x + 3y = a, we can see that the slopes of the two lines are equal, which means:

-2/3 = 2/3b

Solving for b, we get:

b = -1

Now, we can substitute b = -1 into f(2) = 4b to find that:

f(2) = -4

Therefore, the value of b is -1 and the value of a can be found by substituting x = 2 and y = -4 into the equation for the tangent line:

2(2) + 3(-4) = a

a = -10

So, the values of a and b are -10 and -1, respectively.

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Answer:

d

Step-by-step explanation:

=1000

10^3 is 1000

Step-by-step explanation:

To design a track that meets the given requirements, we need to determine the outer diameter of the track based on the specified track width.

1. Track width: 12.5 meters

2. Inner diameter: 113 - 186 meters

To calculate the outer diameter, we add twice the track width to the inner diameter:

Outer diameter = Inner diameter + 2 * Track width

Using the minimum inner diameter (113 meters), the outer diameter would be:

Outer diameter = 113 + 2 * 12.5 = 138 meters

Using the maximum inner diameter (186 meters), the outer diameter would be:

Outer diameter = 186 + 2 * 12.5 = 211 meters

Therefore, the dimensions of the track would be a circle with an inner diameter of 113 - 186 meters and an outer diameter of 138 - 211 meters.

To calculate the area of the track, we use the formula for the area of a circular ring:

Area of track = π * (Outer radius^2 - Inner radius^2)

We can calculate the outer and inner radii as follows:

Outer radius = Outer diameter / 2

Inner radius = Inner diameter / 2

Using the minimum and maximum values:

Minimum outer radius = 138 / 2 = 69 meters

Maximum outer radius = 211 / 2 = 105.5 meters

Minimum inner radius = 113 / 2 = 56.5 meters

Maximum inner radius = 186 / 2 = 93 meters

Now we can calculate the area of the track:

Minimum area of track = π * (105.5^2 - 56.5^2)

Maximum area of track = π * (93^2 - 69^2)

To determine the amount of astroturf and pavement needed, we subtract the area of the track from the total area of the outer circle (based on the maximum outer radius):

Total area of outer circle = π * (105.5^2)

Minimum astroturf area = Total area of outer circle - Minimum area of track

Maximum astroturf area = Total area of outer circle - Maximum area of track

The pavement area would be equal to the minimum and maximum area of the track.

Please note that the above calculations assume a perfectly circular track. In practice, adjustments might be required based on the specific terrain and engineering considerations.

Therefore, based on the given information, the estimated age of the tomb is approximately 3,970 years.

To estimate the age of the tomb based on the radioactive carbon-14 (C-14) content in the cypress beam, we can use the decay equation:

A = A₀ * e*(kt)

Where:

A = Final amount of radioactive substance (55% of the original C-14 content)

A₀ = Initial amount of radioactive substance (100% of the original C-14 content)

k = Decay constant (ln(2) / half-life of C-14)

t = Time (age of the tomb)

Given that the half-life of C-14 is approximately 5600 years, we can calculate the decay constant:

k = ln(2) / 5600 years

Now we can plug in the values:

0.55A₀ = A₀ * e*((ln(2) / 5600 years) * t)

Dividing both sides by A₀:

0.55 = e*((ln(2) / 5600 years) * t)

Taking the natural logarithm of both sides:

ln(0.55) = (ln(2) / 5600 years) * t

Now we can solve for t, the age of the tomb:

t = (ln(0.55) * 5600 years) / ln(2)

Evaluating the expression:

t ≈ 3,970 years

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Answer:

On the inside right side of the triangle.

In order to write a function myMedian that takes a vector as input and returns the median of the vector as output, we can follow these steps:

Step 1: Define a function named myMedian that takes a vector as input.

Step 2: Sort the elements of the vector in ascending order.

Step 3: Find the length of the vector.

Step 4: If the length of the vector is even, then calculate the average of the middle two elements.

Step 5: If the length of the vector is odd, then return the middle element.

Step 6: Display the median of the vector as output. We can use the myMedian function in the command window and verify the result by comparing with the output of the built-in function median.

Here's the code for the function myMedian in MATLAB:

```function med = myMedian(vector)
 sortedVector = sort(vector);
 n = length(sortedVector);
 
 if mod(n, 2) == 0
   med = (sortedVector(n/2) + sortedVector(n/2 + 1)) / 2;
 else
   med = sortedVector((n+1)/2);
 end
 
end```

To verify the output, we can run the following code in the command window:```
v = [2, 5, 1, 7, 3];
m1 = myMedian(v) % output should be 3
m2 = median(v) % output should be 3

```Here, we have created a vector v and passed it to the myMedian function. We have stored the output in m1 variable. We have also used the built-in median function to calculate the median of the vector v and stored it in m2 variable. Finally, we have displayed both the medians and compared them. They should be equal.

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The exact solution of the given equation is 2x² - 2x + 5y² + 18y = C.

What is exact solution of differential equation?

Exact equations are certain differential equations that meet requirements, making it easier to find the solutions to them.

As per question given that,

Gerneral differential equation is,

(2x - 1) dx + (5y + 9) dy = 0

By comparing equation,

Mdx +Ndy = 0

Here,

M = 2x - 1

N = 5y + 9

Now finding the partial derivatives are,

dM / dy = d (2x -1) / dy

From derivative formula: [d (constant) / dy = 0]

Apply formula,

dM / dy = 0          ...... (1)

Similarly,

dN / dx = d (5y + 9) / dx

Differentiate partially with respect to x. keeping y is constant.

dN / dx = 0          ......(2)

Equate both equations (1) and (2),

dM / dy = dN / dx

The given differential equation is exact.

Then the general solution is,

∫ M dx + ∫ N dy = C

Substitute values respectively,

∫ (2x - 1) dx + ∫ (5y + 9) dy = C

∫ (2x) dx - ∫ dx + ∫ (5y) dy + ∫ 9 dy = C

2· x² / 2 - x + 5· y² / 2 + 9y = C

x² - x + 5· y² / 2 + 9y = C

Simplify terms,

2x² - 2x + 5y² + 18y = C.

Which is required solution.

Hence, the exact solution of the given equation is 2x² - 2x + 5y² + 18y = C.

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