pls help, due today !

Answer:the slant height of the triangular pyramid is approximately 11.4132 centimeters.

The answers are 1) 7/6, 2) 11/15, 3) 11/12 and 4) 3/5.

Given are fractions we need to operate them as mentioned.

1) 1/2 + 2/3 =

To add fractions with different denominators, you need to find a common denominator.

In this case, the common denominator is 6 because both 2 and 3 divide evenly into 6.

Let's convert both fractions to have a denominator of 6:

1/2 = (1/2) x (3/3) = 3/6

2/3 = (2/3) x (2/2) = 4/6

Now that both fractions have a common denominator, you can add them:

3/6 + 4/6 = 7/6

So, 1/2 + 2/3 = 7/6.

Similarly,

2) 9/10 - 1/6 =

Let's convert both fractions to have a denominator of 30:

9/10 = (9/10) x (3/3) = 27/30

1/6 = (1/6) x (5/5) = 5/30

Now we can subtract the fractions:

27/30 - 5/30 = (27 - 5)/30 = 22/30 = 11/15

3) 3/4 + 3/18 =

Let's convert both fractions to have a denominator of 36:

Now that both fractions have the same denominator, we can add them together:

(3/4) x (9/9) = 27/36

(3/18) x (2/2) = 6/36

27/36 + 6/36 = 33/36 = 11/12

4) 3/4 - 3/20 =

LCM of 4 and 20 is 20. We can convert both fractions to have a denominator of 20:

3/4 = (3/4) x (5/5) = 15/20

3/20 remains as it is.

Now, we can subtract the two fractions:

15/20 - 3/20 = (15 - 3) / 20 = 12/20 = 3/5

Hence the answers are 1) 7/6, 2) 11/15, 3) 11/12 and 4) 3/5.

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The diagonals of ABCD do not intersect. There is no intersection point for the diagonals CD.

To discover the coordinates of the intersection of the diagonals of ABCD, we want to calculate the factor of intersection between the line section connecting factors C and D and the line section connecting factors A and B.

Given the coordinates:

A(0, 3)

B(10, 3)

C(8, -1)

D(-2, -1)

We first locate the equations of the two lines:

Line AD:

The slope of line AD can be calculated as (change in y) / (change in x):

m_AD = (3 - (-1)) / (0 - (-2))

= four / 2

= 2

Using the point-slope form, we have the equation of line AD as:

y - three = 2(x - 0)

y - three = 2x

Line BC:

The slope of line BC can be calculated as (change in y) / (change in x):

m_BC = (3 - (-1)) / (10 - 8)

= four / 2

= 2

Using the point-slope form, we have the equation of line BC as:

y - three = 2(x - 10)

y - three = 2x - 20

Now, we have the equations:

y = 2x (Equation for line AD)

y = 2x - 17 (Equation for line BC)

To discover the intersection point, we set these two equations equal to every other:

2x = 2x - 17

This equation is contradictory and has no solution, indicating that the strains AD and BC are parallel and do now not intersect.

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Answer:

3750

Step-by-step explanation:

average of 25 salaries = 2500

average of 25 = total payroll of 25/number of employees

2500 = total payroll of 25/25

total payroll of 25 = 2500 × 25

total payroll of 25 = 62500

total payroll of all 26 = total payroll of 25 plus manager

total payroll of all 26 = 62500 + 35000 = 97500

overall average = 97500/26

overall average = 3750

Answer:

[tex]83^{\circ}[/tex]

Step-by-step explanation:

The explanation is attached below.

The area of the triangle is 52.32 square units

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

The triangle (see attachment)

The base of the triangle is calculated as

base = 12 * tan(36)

The area of the triangle is then calculated as

Area = 1/2 * base * height

Where

height = 12

So, we have

Area = 1/2 * base * height

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

Area = 1/2 * 12 * tan(36) * 12

Evaluate

Area = 52.32

Hence, the area of the triangle is 52.32 square units

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Answer: i = 12.75 or [tex]\frac{51}{4}[/tex]

Step-by-step explanation:

To find the value of 'i' in the equation 255 = i x 20, you would use the division operation.

You would divide 255 by 20:

i = 255 / 20

This gives you the value of 'i'.

We have to remember that 60 seconds in a minute, 60 minutes in an hour, and 24 hours in a day and the base unit for capacity is the liter (L).

There are 1,000 milliliters (mL) in a liter, and 1,000 liters in a kiloliter (kL).

Time Conversions:

There are 60 seconds in a minute, 60 minutes in an hour, and 24 hours in a day.

To convert from smaller to larger units, divide the value by the appropriate conversion factor.

To convert from larger to smaller units, multiply the value by the appropriate conversion factor.

Capacity Conversions:

In the metric system, the base unit for capacity is the liter (L).

There are 1,000 milliliters (mL) in a liter, and 1,000 liters in a kiloliter (kL).

To convert from smaller to larger units, divide the value by the appropriate conversion factor.

To convert from larger to smaller units, multiply the value by the appropriate conversion factor.

Remembering these conversion factors and units will help ensure accurate conversions when dealing with time and capacity measurements.

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Answer:

the volume of the cuboid is 200 cubic centimeters.

Step-by-step explanation:

(a) The number of edges of a cuboid can be determined by adding up the number of edges along each dimension. A cuboid has 12 edges in total.

(b) The volume of a cuboid can be calculated by multiplying its length, width, and height. In this case, the length is 10 cm, the width is 4 cm, and the height is 5 cm.

Volume = length × width × height

Volume = 10 cm × 4 cm × 5 cm

Volume = 200 cm³

Answer:

x = 110°

y = 110°

z = 70°

Explanation:

A rhombus' interior angles (the ones we're looking for) always equal to 360°.

A rhombus also has the same degree as the side opposite of it, so since z is the opposite side of the current 70°, we also know that z is equal to 70°.

This also means that x and y are equal to each other, so to find these sides, we need to subtract the other known values from 360.

70° + 70° = 140°

360° - 140° = 220°

Since the amount we have left is 220°, and our last 2 values are equal to each other, we can divide this by 2 in order to find their individual degrees.

220/2 = 110°

Both x and y are equal to 110°.

Answer:

The answer is down below

Step-by-step explanation:

Let Thomas height this year be x

x=(x-1)+5%

The number of cats that company take to care of on Saturday night = 72.

The given system of equation is,

       x + y = 16     .....(i)  

18x + 30y = 432  .....(ii)

Where x represents the number of dog

And y represents the number of cat

One strategy for solving a system of linear equations is the elimination method. To get the equation in one variable, either add or subtract the equations. If the coefficients of one of the variables are the same and their signs are opposite, we can use the equation to delete the variable. Similarly, if the coefficients of one of the variables are the same, as well as their sign, we can subtract the equation to yield the equation in one variable.

Now  multiply 18 with (i) we get,

18x + 18y = 288    .....(iii)

Subtract (iii) from (ii)

⇒ 2y = 144

⇒   y = 72

Hence,

there were 72 cats.

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74.0% of the sandwiches made by the cafeteria on last Wednesday were turkey sandwiches.

On last Wednesday, the cafeteria made a total of 550 sandwiches for lunch.

Out of these sandwiches, 407 were turkey sandwiches. To find the percentage of turkey sandwiches, we can use the following formula:

Percentage of turkey sandwiches = (Number of turkey sandwiches / Total number of sandwiches) × 100

Plugging in the values we have:

Percentage of turkey sandwiches = (407 / 550) × 100

To simplify the calculation, we can divide 407 by 550:

Percentage of turkey sandwiches ≈ 0.740 × 100

Calculating further, we find:

Percentage of turkey sandwiches ≈ 74.0%

Analyzing student preferences and determining the popularity of different sandwich options. 'It can also help in making decisions regarding future lunch menus or adjusting the quantity of sandwich ingredients to meet student demand.

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The test Statistic and the corresponding p- value,  the p- value to our significance  position to make a decision,the p- value is  lower than 0.05, we fail to reject the null  thesis.    

 The  mean sodium content for a single serving of a certain cereal is lesser than the  mortal  demand for  swab, which is 220 milligrams per day. A salutary study has shown that high sodium input may be related to ulcers, stomach cancer, and migraine headaches, making it important to cover sodium input.   Using a  arbitrary sample of 20  analogous servings of the cereal, with a mean sodium content of 244 milligrams and a standard  divagation of24.5 milligrams, we can conduct a  thesis test to determine if the average sodium content is significantly lesser than 220 milligrams.   Assuming the distribution of sodium contents to be normal, we can use a one- sample t- test with a significance  position of0.05. Our null  thesis is that the mean sodium content is equal to 220 milligrams, while our indispensable  thesis is that it's lesser than 220 milligrams.   We reject the null  thesis and conclude that the average sodium content for a single serving of  similar cereal is significantly lesser than 220 milligrams.

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The height of the square pyramid is 24.

We have,

To find the height of a square pyramid, given its base length and volume, we can use a simple formula.

The volume of a pyramid is calculated by multiplying the base area by the height and dividing by 3.

In this case,

The volume of the pyramid is given as 200 and the base length is 5.

So,

200 = (5² x height) / 3

To simplify, we square the base length:

200 = (25 x height) / 3

To isolate the height, we multiply both sides by 3 and then divide by 25:

200 x 3 / 25 = height

Simplifying the calculation:

24 = height

Therefore,

The height of the square pyramid is 24.

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The probability that a pitcher throws exactly 1 pitch is 3/20

Probability is the chance that an event will occur from given sample or population.

Probability of an event can be represented Mathematically as :

P(A) = number of times A occurs / total number of occurrences

Hence,

P(1) = frequency of 1 / total frequency

Frequency of throwing exactly 1-pitch = 12

Sum of total possible outcomes = (12+16+32+12+8) = 80

P(1) = 12/80 = 3/20

Hence, the probability that a pitcher throws exactly 1 pitch is 3/20

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Answer: 1/4

Step-by-step explanation:

Rate of change is same as slope

Rate of change = [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]

Rate of change = [tex]\frac{10-9}{6-2}[/tex]

Rate of change = [tex]\frac{1}{4}[/tex]

The probability of selecting a matching donut on the second try is 7/23.There is a 10.14% chance of selecting two ​-filled donuts in a row from Elizabeth's box of two dozen donuts.

To find the probability of selecting two ​-filled donuts in a row, we first need to determine the total number of donut combinations.

Since there are three different fillings, there are three possible outcomes for the first donut and three possible outcomes for the second donut. Therefore, the total number of combinations is 3 x 3 = 9.

Next, we need to determine the number of combinations where both donuts are filled. There are 24 donuts in the box, and eight of them are jelly-filled, eight are lemon-filled, and eight are custard-filled.

So, the probability of selecting a filled donut on the first try is 8/24, or 1/3. Once the first donut is eaten, there are only 23 donuts left, and seven of them are filled with the same type of filling as the first donut.

To find the probability of selecting two ​-filled donuts in a row, we multiply the probabilities of each event. So, the probability of selecting two matching ​-filled donuts in a row is (1/3) x (7/23) = 7/69, or approximately 0.1014.

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The researcher should obtain a sample size of 1700 to estimate the percentage of adults who support abolishing the penny with a 95% confidence level and a margin of error of 4 percentage points.

To determine the sample size needed to estimate the percentage of adults who support abolishing the penny with a 95% confidence level and a margin of error of 4 percentage points, we can use the following formula:

Sample size = (Z^2 * P * (1 - P)) / E^2

Where:

Z = Z-score for the desired confidence level (for 95% confidence level, Z ≈ 1.96)

P = Estimated proportion (expressed as a decimal)

E = Margin of error

Given:

Estimated proportion (P) = 27.5% (0.275 as a decimal)

Margin of error (E) = 0.04

Substituting the values into the formula:

Sample size = (1.96^2 * 0.275 * (1 - 0.275)) / 0.04^2

Sample size = (3.8416 * 0.275 * 0.725) / 0.0016

Sample size ≈ 1699.63

Rounding up to the next integer, the required sample size is 1700.

Therefore, the researcher should obtain a sample size of 1700 to estimate the percentage of adults who support abolishing the penny with a 95% confidence level and a margin of error of 4 percentage points.

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Answer:

[tex]115 \dfrac{1}{2}\:cm^3[/tex]

Step-by-step explanation:

The volume of a rectangular prism is the product of each of the sides of the prism

Given the sides have lengths
[tex]3\dfrac{1}{2}, 6 \;and\; 5 \dfrac{1}{2} cm[/tex]

the volume would be
[tex]3\dfrac{1}{2} \times 6 \times 5 \dfrac{1}{2}[/tex]

To perform this multiplication, convert mixed fractions to improper fractions first

Use the rule that mixed fraction
[tex]a\dfrac{b}{c}=\dfrac{a\times \:c+b}{c}[/tex]

[tex]3\dfrac{1}{2}=\dfrac{3\times 2+1}{2} = \dfrac{7}{2}[/tex]

[tex]5\dfrac{1}{2}=\dfrac{5\times 2+1}{2}= \dfrac{11}{2}[/tex]

Therefore
[tex]3\dfrac{1}{2}\times \:6\times \:5\dfrac{1}{2}\\\\= \dfrac{7}{2}\times \:6\times \dfrac{11}{2}\\\\= \dfrac{7}{2}\times \dfrac{6}{1}\times \dfrac{11}{2} \quad(6 = \dfrac{6}{1})[/tex]

[tex]=\dfrac{7\times \:6\times \:11}{2\times \:1\times \:2}\\\\= \dfrac{462}{4}\\[/tex]

Divide numerator and denominator by 2 to get
[tex]\dfrac{231}{2}\\[/tex]

Convert improper fraction [tex]\dfrac{231}{2}[/tex] to mixed fraction using quotient/remainder

[tex]\dfrac{231}{2} \\\\\rightarrow Quotient: 115\\\\\rightarrow Remainder = 231 - 115 \times 2 = 231 - 230 = 1[/tex]

[tex]\dfrac{231}{2} = 115 \dfrac{1}{2}[/tex]

Answer:

9 because 18 divided by 2 is 9

Answer:

Step-by-step explanation:

Distance traveled by both the planes in 6hrs=10458

let x, x+61 be the speeds of both the planes

Distance traveled = speed*time

10458=(x*6) + [(x+61)*6}

10458=6x+(6x+366)

12x=10092

x=841

Answer:

one plane's rate = 841km/h. other plane's rate = 902km/h

Step-by-step explanation:

Let's say one plane goes to the left and the other to the right.

call the planes L and R, respectively.

L travels at x km/h. R travels at (x + 61)km/h.

after 6 hours, L has travelled 6xkm. R has travelled 6(x + 61)

= (6x + 366)km.

they are 10458 km apart.

so, 6x + 6x + 366 = 10458

12x = 10092

x = 841.

plane L travels at rate of 841 km/h.

plane R travels at rate of 841 + 61 = 902 km/h.

If Darryl uses small unit cubes to make a big cube that is 3 units high, he would need 27 small cubes to complete the task.

Darryl is using small unit cubes to make a big cube that is 3 units high. To complete the big cube, Darryl would need to determine the total number of small unit cubes required.

A cube is a three-dimensional figure that has six faces, eight vertices, and twelve edges of equal length. The small cubes are placed one on top of the other, in layers, to create a larger cube.

Therefore, if the big cube is 3 units high, there will be three layers of small cubes in the vertical direction, each with the same dimensions as the base.

The base of the cube would be a square, and each side would have three small cubes lined up next to each other.

So, the base of the cube would have dimensions of 3 units by 3 units. To fill one layer of the cube, Darryl would need 3 x 3 x 1 = 9 small cubes.

Since there are three layers in total, Darryl would need 9 x 3 = 27 small cubes to complete the big cube.

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The coordinates of point A are,

A = (-24, -4).

Now, For the coordinates of point A, we use the fact that

⇒ vector AB + vector BC = vector AC.

So, We get;

AB + BC = (20, 10) + (16, -14)

             = (36, -4)

Now, we know that vector AC is equal to (36, -4)

since vector BC points from B to C.

We also know that point C has coordinates (12, -8).

So, to find the coordinates of point A, we can use the formula:

A = C - AC

Substituting in the values we have:

A = (12, -8) - (36, -4) = (-24, -4)

Therefore, the coordinates of point A are (-24, -4).

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The rational expression (x + 4)/10 - 4 when x = 5 is -3.1 or -31/10

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

Expression = (x + 4)/10 - 4

The value of x is given as

x = 5

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

Expression = (5 + 4)/10 - 4

So, we have

Expression = 9/10 - 4

Divide

Expression = 0.9 - 4

So, we have

Expression = -3.1 or -31/10

Hence, the rational expression when x = 5 is -3.1 or -31/10

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Question

What is the value of the rational expression (x+4)/10 - 4 when x = 5?

Answer:

Step-by-step explanation:

The Value of 11a - 11b + 11c is 165i - 22j.Option C is not correct. The correct answer is 165i - 22j.

The value of 11a - 11b + 11c, we need to perform scalar multiplication on each vector and then add them together.

Let's start by multiplying each vector by the scalar value of 11:

11a = 11(3i + 4j) = 33i + 44j

11b = 11(-2i + 5j) = -22i + 55j

11c = 11(10i - j) = 110i - 11j

Now, we can combine the terms:

11a - 11b + 11c = (33i + 44j) - (-22i + 55j) + (110i - 11j)

                 = 33i + 44j + 22i - 55j + 110i - 11j

                 = (33i + 22i + 110i) + (44j - 55j - 11j)

                 = 165i - 22j

Therefore, the value of 11a - 11b + 11c is 165i - 22j.

Option C is not correct. The correct answer is 165i - 22j.

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Based on these observations, the correct choice is 4. The graph of y = ∛(8x - 64) - 5 is stretched by a factor of 8, translated 64 units to the right, and 5 units downward compared to the parent cube root function.

To determine the transformation that describes the graph of the function y = ∛(8x - 64) - 5 compared to the parent cube root function, we can examine the changes in the equation.

The parent cube root function is y = ∛x.

Comparing this with the given function y = ∛(8x - 64) - 5, we can identify the following transformations:

The function is stretched by a factor of 8 in the x-direction. This is because the argument of the cube root function is (8x - 64) instead of just x.

The function is translated 64 units to the right. This is because the argument of the cube root function is (8x - 64), which causes the function to start at x = 8 instead of x = 0.

The function is translated 5 units downward. This is because of the "- 5" term subtracted from the cube root function.

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