Round to the nearest tenth, then find the sum. 35.26 + 8.32 + 6.78 i will give 12 points pleas help me in in a test

Answer:

48 square inches

Step-by-step explanation:

lxwxh

6x4x2

Answer:

Step-by-step explanation:

You want the perimeter and area of a figure consisting of a 4 × 11 rectangle with semicircles attached to each straight edge.

If you trace the perimeter of the figure, you see you are tracing the circumference of a circle 4 units in diameter and the circumference of a circle that is 11 units in diameter. The circumference of a circle is given by ...

  C = πd

so the total circumference is ...

  C1 +C2 = π(4) +π(11) = π(4+11) ≈ 47.12 . . . . units

The perimeter of the figure is about 47.12 units.

The area of two half-circles is the area of one whole circle of the same diameter. The area of a circle of diameter d is given by ...

  A = (π/4)d²

The total area of the circles of diameters 4 and 11 is ...

  A1 +A2 = (π/4)·4² +(π/4)·11² = (π/4)(4² +11²)

The area of the central rectangle is added to the areas of the semicircles. Its area is ...

  A = LW

  A = (11)(4)

The area of the entire figure is the sum of the circle areas and the rectangle area:

  total area = (π/4)(4² +11²) +(4)(11) ≈ 151.60 . . . . square units

The area of the figure is about 151.60 square units.

__

Additional comment

You usually see the formula for the area of a circle as ...

  A = πr²

Since r = d/2, we can express this using d as ...

  A = π(d/2)² = π(d²)/(2²) = (π/4)d²

You may notice that a square that circumscribes the circle will have a side length of d, and an area of d². The fraction π/4 tells you the fraction of that enclosing square that is covered by the circle. This fact can help you estimate areas and volumes of circles and cylinders.

The requried,  Celia made 15 mugs if she had 7.45 lbs of clay left over.

To determine the number of mugs that Celia made, we need to first subtract the weight of the sculpture and the leftover clay from the initial weight of the clay. This will give us the total weight of clay that Celia used for the mugs:

Total weight of clay used for mugs = 40 lbs - 17.4 lbs - 7.45 lbs = 15.29 lbs

Next, we can divide the total weight of clay used for the mugs by the amount of clay used per mug:

Number of mugs = Total weight of clay used for mugs / Amount of clay used per mug

Amount of clay used per mug = 1.01 lbs/mug

A number of mugs = 15.29 lbs / 1.01 lbs/mug = 15.13

Therefore, Celia made 15 mugs.

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The probability of selecting a citizen, aged 25 or over, who had 4 years of college will be 0.2455.

Given that:

The table below shows the educational attainment of a​ country's population, aged 25 and over.

The probability is given as,

P = (Favorable event) / (Total event)

The probability of selecting a citizen, aged 25 or over, who had 4 years of college will be given as,

P = 41 / 167

P = 0.2455

The probability will be 0.2455.

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The complete question is given below.

The mass per running metre of a copper bar with a uniform cross-section in the form of a triangle as shown in the figure when the density of copper is 8 850 kg/m³ is 3.

Mass per running meter = density x area x length

Substituting the values for density, area, and length, you get:

Mass per running meter = 8,850 x [(b x h) / 2] x length

Simplifying the equation, you get:

Mass per running meter = 4,425 x b x h x length

Mass = 8850 / 4425

Mass = 2

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it will take approximately 6.8 minutes until there are 50 grams of the element remaining.

We can use exponential decay formula to solve this problem:

A = A₀ ×e²(-rt)

where A is the amount of the element remaining, A₀ is the initial amount, r is the decay rate (as a decimal), t is the time elapsed.

We know that the initial mass of the element is 640 grams, the decay rate is 19.3% per minute, and we want to find the time it takes for there to be 50 grams of the element remaining. So we can write:

50 = 640 ×e²(-0.193t)

Dividing both sides by 640, we get:

0.078125 = e²(-0.193t)

Taking the natural logarithm of both sides, we get:

ln(0.078125) = -0.193t

Solving for t, we get:

t = ln(0.078125) / (-0.193)

t ≈ 6.8 minutes

Therefore, it will take approximately 6.8 minutes until there are 50 grams of the element remaining.

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Answer:

Please mark me the brainliest

Let's denote the time in minutes by t, and the mass of the element at time t by m(t). Then we can write an exponential decay equation:

m(t) = m(0) * (1 - r)^t

where m(0) is the initial mass of the element, r is the decay rate as a decimal (19.3% = 0.193), and t is the time in minutes.

We know that the initial mass is m(0) = 640 grams, and we want to find the time t when the mass has decreased to 50 grams. So we can set up the following equation:

50 = 640 * (1 - 0.193)^t

Simplifying:

0.07796875 = 0.807^t

Taking the natural logarithm of both sides:

ln(0.07796875) = ln(0.807^t)

Using the property of logarithms that ln(a^b) = b * ln(a):

ln(0.07796875) = t * ln(0.807)

Dividing both sides by ln(0.807):

t = ln(0.07796875) / ln(0.807)

Using a calculator, we get:

t ≈ 24.9

Therefore, to the nearest tenth of a minute, it will take 24.9 minutes until there are 50 grams of the element remaining.

Step-by-step explanation:

Answer:correct answers 0.42

2.73

Step-by-step explanation:We can solve this quadratic equation in sin(θ) by using the substitution u = sin(θ):

-6u^2 - 5u + 3 = 0

Now we can use the quadratic formula to solve for u:

u = (-b ± sqrt(b^2 - 4ac)) / 2a

where a = -6, b = -5, and c = 3. Substituting these values, we get:

u = (5 ± sqrt(5^2 - 4(-6)(3))) / 2(-6)

u = (5 ± sqrt(109)) / (-12)

Therefore, either:

sin(θ) = (5 + sqrt(109)) / (-12)

or:

sin(θ) = (5 - sqrt(109)) / (-12)

Answer:

Answer:

= 6 R 25

= 6 25/27

187 divided by 27 equals

6 with a remainder of 25

Step-by-step explanation:

The value of the composite function t(s (2)) is 8

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

s(x) = -x + 5

t(x) = 2x + 2

The composite function t(s(x)) is calculated as

t(s(x)) = 2s(x) + 2

Substitute the known values in the above equation, so, we have the following representation

t(s(x)) = 2(-x + 5) + 2

Again, substitute the known values in the above equation, so, we have the following representation

t(s(2)) = 2(-2 + 5) + 2

Evaluate

t(s(2)) = 8

Hence, the value of t(s(2)) is 8

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Using the concept of similar triangles, the length of the other two sides of triangle B are: 20 cm and 25 cm

Similar triangles are  defined as triangles that possess the same shape, but then their sizes may very well vary. This means that, if two triangles are similar, then we can say that their corresponding angles are congruent and corresponding sides are in equal proportion.

Since the shortest side of triangle B is 10cm, it means that it corresponds to the shortest side of triangle A which is 8 cm.

Thus:

Ratio of corresponding sides of B:A = 10/8

Thus:

Second side of triangle B: (10/8) = (x/16)

x = 160/8

x = 20 cm

Third side of triangle B: 10/8 = y/20

y = 200/8

y = 25 cm

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Answer:

First, we need to convert 15 American dollars to Euro:

15 USD * 17.1 Euro/USD = 256.5 Euro

Then, we can use the exchange rate between Euro and Dominican Pesos to convert Euro to Dominican Pesos:

1 Euro = 435.2 Dominican Pesos/7 Euro

Therefore, 256.5 Euro = (256.5/7) * 435.2 Dominican Pesos = 9,475.2 Dominican Pesos

Finally, we can use the proportion:

12 USD / 15 USD = x Dominican Pesos / 9,475.2 Dominican Pesos

Solving for x, we get:

x = (12/15) * 9,475.2 = 7,580.16 Dominican Pesos

Therefore, 12 American dollars is worth 7,580.16 Dominican Pesos.

The volume of the image is given as follows:

10626 ft³.

The volume of a prism is calculated as the multiplication of the base area of the prism by the height of the prism.

The bottom of the prism in this problem square base of side length 23 ft, along with height of 18 ft, hence:

Bottom volume = 18 x 18 x 23

Bottom volume = 7452 ft³.

The top of the prism also has square base of side length 23 ft, along with triangular height of 12 ft, hence:

Top volume = 0.5 x 12 x 23 x 23 (multiplies by 0.5 as the top is a triangle).

Top volume = 3174 ft³.

Hence the total volume of the prism is given as follows:

7452 + 3174 = 10626 ft³.

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The range of the given linear function; f(t) = 2t + 1 given its domain (1, 2, 3, 5) is; (3, 5, 7, 11).

It follows from the task content that the range of the given function is to be determined given its domain as defined by the set; (1, 2, 3, 5).

Therefore;

At t = 1; f(1) = 2(1) + 1 = 3.

At t = 2; f(2) = 2(2) + 1 = 5.

At t = 2; f(3) = 2(3) + 1 = 7.

At t = 5; f(5) = 2(5) + 1 = 11.

Ultimately, the range of the given function as required is given by the set; (3, 5, 7, 11).

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The Height of the given rectangular prism is:  (x + 1) - 4/(x³ + 3x² + 8)

In algebra, polynomial long division is defined as an algorithm used in dividing a polynomial by another particular polynomial of the same or even lower degree, which is a generalized version of the common arithmetic technique called long division. It can be done easily by hand, because it separates a supposedly complex division problem into smaller ones.

We are given:

Volume of a rectangular prism =  (x⁴ + 4x³ + 3x² + 8x + 4), and the area of its base is (x³ + 3x² + 8)

Thus, height is:

                   x + 1

x³ + 3x² + 8|x⁴ + 4x³ + 3x² + 8x + 4

                -  x⁴ + 3x³ + 0   + 8x

                           x³ + 3x² + 4

                         - x³ + 3x² + 8

                                        -4

Thus:

Height = (x + 1) - 4/(x³ + 3x² + 8)

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2 nickels and 1 dime

4 nickels and 2 dimes

6 nickels and 3 dimes

8 nickels and 4 dimes

10 nickels and 5 dimes

The value of a polynomial function with the given zeros would be,

⇒ f (x) = x (x + 7) (x + 6)³

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given that;

Functions have zeroes 0, - 6, - 7 with multiplicity 1, 3, 1

Hence, We can formulate;

The value of a polynomial function with the given zeros would be,

⇒ f (x) = (x - 0)¹ (x - (- 6))³ (x - (- 7))¹

⇒ f (x) = x (x + 6)³ (x + 7)

⇒ f (x) = x (x + 7) (x + 6)³

Thus, The value of a polynomial function with the given zeros would be,

⇒ f (x) = x (x + 7) (x + 6)³

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To plot the point, we can draw a horizontal number line, label the origin as 0, and then mark a point 4.472 units to the right of 0.

 |---------------------|---------------------|

 0                                            4.472

We have,

To plot the point representing the approximation of √(20), we need to first find the approximate value of √(20):

√(20) ≈ 4.472

This means that the point we want to plot is located approximately 4.472 units to the right of the origin on the number line.

To plot the point, we can draw a horizontal number line, label the origin as 0, and then mark a point 4.472 units to the right of 0.

The resulting point represents the approximation of √(20).

Thus,

A rough sketch of what the plot could look like:

 |---------------------|---------------------|

 0                                            4.472

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The position of an object is determined as  (¹/₃ ln |1 + t³| + 2)i + (- ¹/₂cos(2t) + 3 )j.

None of above is the correct answer.

The position of an object is defined as the product of velocity of the object and the time of motion of the object.

So to obtain the position of the particle, we will integrate the velocity of the particle as follows;

The velocity is given as;

v(t) = t²i/(1 + t³)  +  sin 2t j

Integrate i component as;

Let u = 1 + t³

du/dt = 3t².

dt = du / (3t²)

∫ t²/(1 + t³) dt =∫ (1/u) x (t²/3t²) du

= (1/3) ∫ (1/u) du

= (1/3) ln |u| + C

= (1/3) ln|1 + t³| + C

Integrate j component as follows;

∫ sin(2t) dt = - ¹/₂cos(2t) + C

∫ v(t) dt = (1/3) ln|1 + t³|)i - ¹/₂cos(2t)j

So finally, we add the initial position of 2i + 3j, as follows;

x = (¹/₃ ln |1 + t³| + 2)i + (- ¹/₂cos(2t) + 3 )j

So none of the options matches this solution, the closet is B.

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The graph is a function: yes.

The domain of this function is: all real numbers.

The range of this function: all real numbers.

In Mathematics and Geometry, a range can be defined as the set of all real numbers that connects with the elements of a domain.

Furthermore, the horizontal extent of any graph of a function represents all domain values and they are always read and written from smaller to larger numerical values, and from the left-hand side of the graph to the right-hand side.

By critically observing the graph shown in the image attached above, we can reasonably and logically deduce the following domain and range:

Domain = {-∞, ∞}, x|x ∈ R, or all real numbers.

Range = {-∞, ∞}, y|y ∈ R, or all real numbers.

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The confidence interval using the 95 percent level of significance is given as CI = (0.57, 0.63)

Solve for the sample proportion

= 602/1000 = 0.602

z* is the critical value from the standard normal distribution at the 95% confidence level = (1.96)

n =  sample size (1000)

CI = 0.602 ± 1.96√((0.602(1-0.602))/1000)

CI = 0.602 ± 0.032

0.602 - 0.032 , 0.602 + 0.032

CI = (0.57, 0.63)

Hence the confidence interval using the 95 percent level of significance is given as CI = (0.57, 0.63)

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To calculate the three-sigma control limits, we first need to find the mean and standard deviation of the sample.

Here, we have,

The mean is:

μ = (4 + 12 + 16 + 8 + 9 + 6 + 5 + 12 + 15 + 7 + 6 + 4 + 2 + 11) / 14 = 8.071

The standard deviation is calculated using the standard deviation formula and is arrived at:

σ = 4.319

The three-sigma control limits are:

Upper control limit = μ + 3σ = 8.071 + (3 × 4.319) = 20.027

Lower control limit = μ - 3σ = 8.071 - (3 × 4.319) = -3.886

b. We can check if the process is in control by looking at whether any of the data points fall outside of the control limits.

From the given data, we can see that the maximum number of complaints is 16, which is well within the upper control limit of 20.027. The minimum number of complaints is 2, which is also well within the lower control limit of -3.886.

Therefore, based on the given data, we can conclude that the process is in control.

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From the question that we have, the solution that we have gotten is that 4 cubic blocks with a side length of foot would be required to find the volume of the glass case

We have been given that a glass case is in shape of a rectangular prism.

The volume of a single cubic block is:

We have

Volume of block

= (1/5) * (1/5) * (1/5)

= 1/125 cubic feet

Next we will now have to divide the volume of the glass case by the volume of a single cubic block:

V olume of case / Volume of the block =

(4/125) / (1/125)

= 4

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A glass case is in the shape of a rectangular prism. The volume of the case is cubic 4/125 foot. How many cubic blocks with a side length of 1/5 foot would be required to find the volume of the glass case?

Answer:

The result for the difference in lung cancer worry between males and females was not statistically significant in Hahn's (2017) study (t(45)=0.69, p > 0.05). The results for the differences in worry between smokers and nonsmokers, and those who did and did not graduate high school, were statistically significant with p values less than 0.05.

Step-by-step explanation:

The two expressions "8m+4-3m" and "3+ m+2m+1+2m​" are equivalent because they simplify to the same-value.

To determine if the two expressions are equivalent, we can simplify each expression and then compare them.

Simplifying the first -expression,

We have,

⇒ 8m + 4 - 3m can be simplified by combining like terms;

⇒ 8m - 3m + 4 = 5m + 4

Next, Simplifying the second-expression,

we have,

⇒ 3 + m + 2m + 1 + 2m can also be simplified by combining like-terms:

⇒ (1 + 3) + (m + 2m + 2m) = 4 + 5m

So we have:

(i) 8m + 4 - 3m = 5m + 4

(ii) 3 + m + 2m + 1 + 2m = 4 + 5m

Since both simplified expressions are equal to "5m + 4", we can conclude that the two original expressions are equivalent.

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It is essential to maximize the volume for a fixed surface area for cost and material waste.

Because it can help to optimize the efficiency of material usage and minimize the cost of production.

In many manufacturing and construction processes, the cost of materials is a significant expense.

By maximizing the volume of an object for a fixed surface area, we can reduce the amount of material needed to construct the object.

This means that we can save money on material costs and reduce waste by using fewer materials overall.

In addition, minimizing the surface area of an object for a fixed volume can also help to reduce production costs.

This is because the surface area of an object is often a factor in determining the time and labor required to produce it.

By minimizing the surface area, we can reduce the amount of time and labor needed to produce the object.

Which can help to reduce production costs.

Therefore, maximizing volume for fixed surface area is an essential consideration in many manufacturing and construction processes.

It help to optimize material usage, minimize waste, and reduce production costs.

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The two inequalities that the graph represents are:

y < -x + 4

y ≤ ²/₃x - 4

An inequality can be represented graphically as a region on one side of a line. Inequalities that use < or > symbols are plotted with a dashed line to show that the line is not included in the region. Inequalities that use ≤ or ≥ symbols are plotted with a solid line to show that the line is included in the region.

The formula for the equation of a line in slope intercept form is:

y = mx + c

where:

m is slope

c is y-intercept

The first inequality is the one with the dashed line and a y-intercept of 4 and so since shaded below line, we will use the symbol <.

The slope from two coordinates on the line (0, 4) and (4, 0) is:

(0 - 4)/(4 - 0) = -1

Thus, inequality is:

y < -x + 4

The first inequality is the one with the solid line and a y-intercept of -4 and so since shaded below line, we will use the symbol ≤.

The slope from two coordinates on the line (0, -4) and (6, 0) is:

(0 + 4)/(6 - 0) = 2/3

Thus, inequality is:

y ≤ ²/₃x - 4

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Answer:

1/60

Step-by-step explanation:

For each cake, there is a 1/20 chance to find the gold ring since it is in one of the 20 slices. The probability for each cake is independent of each other, so we multiply

1/20 x 1/20 x 1/20

=1/60

Amelia  can make inferences by using

Inferences from data on student heights include range determination based on minimum and maximum values, indicating greater variability with a larger range.

The average height of students can be determined using measures like mean, median, and mode. The distribution's shape can be determined by the histogram or box plot, indicating how the heights are distributed. inferences can be made by the use of height samples to gain insight into school population.

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